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FABRICATION OF NANOPORE IN MOS2-GRAPHENE VDW HETEROSTRUCTURE BY ION BEAM IRRADIATION AND THE MECHANICAL PERFORMANCE - MDPI
nanomaterials

Article
Fabrication of Nanopore in MoS2-Graphene vdW
Heterostructure by Ion Beam Irradiation and the
Mechanical Performance
Xin Wu * , Ruxue Yang, Xiyue Chen and Wei Liu *

                                          School of Chemical Engineering and Technology, Sun Yat-sen University, Zhuhai 519082, China;
                                          yangrx7@mail2.sysu.edu.cn (R.Y.); chenxy795@mail2.sysu.edu.cn (X.C.)
                                          * Correspondence: wuxin28@mail.sysu.edu.cn (X.W.); liuwei96@mail.sysu.edu.cn (W.L.)

                                          Abstract: Nanopore structure presents great application potential especially in the area of biosensing.
                                          The two-dimensional (2D) vdW heterostructure nanopore shows unique features, while research
                                          around its fabrication is very limited. This paper proposes for the first time the use of ion beam
                                          irradiation for creating nanopore structure in 2D vdW graphene-MoS2 heterostructures. The forma-
                                          tion process of the heterostructure nanopore is discussed first. Then, the influence of ion irradiation
                                          parameters (ion energy and ion dose) is illustrated, based on which the optimal irradiation param-
                                          eters are derived. In particular, the effect of stacking order of the heterostructure 2D layers on the
                                          induced phenomena and optimal parameters are taken into consideration. Finally, uniaxial tensile
                                          tests are conducted by taking the effect of irradiation parameters, nanopore size and stacking order
                                          into account to demonstrate the mechanical performance of the heterostructure for use under a
                                          loading condition. The results would be meaningful for expanding the applications of heterostructure
                                          nanopore structure, and can arouse more research interest in this area.
         
         
Citation: Wu, X.; Yang, R.; Chen, X.;     Keywords: MoS2 -graphene vdW heterostructure; nanopore fabrication; ion beam irradiation;
Liu, W. Fabrication of Nanopore in        mechanical performance
MoS2 -Graphene vdW
Heterostructure by Ion Beam
Irradiation and the Mechanical
Performance. Nanomaterials 2022, 12,      1. Introduction
196. https://doi.org/10.3390/
                                               Nanopore technology refers to the creation and applications of nanometer pores in
nano12020196
                                          membrane structures. Since the size of nanopore channels is comparable to that of typical
Academic Editor: Filippo Giubileo         biomolecules, it is possible to use nanopores for detecting various biomolecules. The first
                                          demonstration of nanopores in biosensing was achieved in 1996 [1]. Thereafter, many
Received: 16 December 2021
                                          research efforts have been made to uncover the underlying mechanisms of nanopore-based
Accepted: 5 January 2022
Published: 7 January 2022
                                          biosensors and to improve the efficiency and sensitivity of detection [2–5]. Nanopore-based
                                          single molecule sequencing was even taken as one of the most promising techniques to
Publisher’s Note: MDPI stays neutral      realize the objective of the “$1000 genome” project [6]. Currently, there are four major
with regard to jurisdictional claims in   types of nanopores: biological nanopores, solid-state nanopores, two dimensional (2D)
published maps and institutional affil-
                                          nanopores, and hybrid nanopores. Among them, the 2D nanopores (nanopore creation in
iations.
                                          2D materials) stand out due to the unique features of the 2D materials [7,8]. For example,
                                          the subnanometer thickness of the 2D nanopore is close to the spatial interval of neighboring
                                          nucleic acid bases, giving the ability to achieve gene sequencing at a single-base level. The
                                          high carrier mobility of 2D materials also enables the detection of biomolecules with great
Copyright: © 2022 by the authors.
Licensee MDPI, Basel, Switzerland.
                                          sensitivity. Besides the applications in biosensing, 2D nanopore technology has also been
This article is an open access article
                                          widely used in ion filtration, sea water desalination, gas separation, etc. [9–11].
distributed under the terms and                2D nanopore materials can be fabricated by many techniques [12–14], which can be
conditions of the Creative Commons        categorized into “top-down” methods, i.e., directly creating the pore structure in membrane
Attribution (CC BY) license (https://     materials, and “bottom-up” methods, i.e., synthesizing nanopores during the growth of
creativecommons.org/licenses/by/          2D materials. Recently, Su et al. [15] comprehensively reviewed the approaches applied in
4.0/).                                    nanopore fabrication in 2D materials, and they divided the fabrication methods into four

Nanomaterials 2022, 12, 196. https://doi.org/10.3390/nano12020196                                     https://www.mdpi.com/journal/nanomaterials
FABRICATION OF NANOPORE IN MOS2-GRAPHENE VDW HETEROSTRUCTURE BY ION BEAM IRRADIATION AND THE MECHANICAL PERFORMANCE - MDPI
Nanomaterials 2022, 12, 196                                                                                          2 of 15

                              types: energetic particle impact, chemical reaction, physical and chemical methods, and
                              others. Most of the fabrication methods aim at obtaining nanopore arrays with high pore
                              density, which are usually applied in water desalination [9], gas separation [11], and energy
                              conversion [16]. In contrast, some applications such as biosensors require that a single
                              pore is created in the membrane. For this scenario, the methods of electrical pulses [17],
                              transmission electron microscope sculpting [18], and ion beam irradiation [19] are more
                              suitable. Due to the flexibility in adjusting the irradiation parameters and the ability
                              to create pore structures with diameters from subnanometer to tens of nanometers, ion
                              beam irradiation is recognized as the most efficient technique in fabricating nanopores for
                              biosensing. Consequently, many theoretical and experimental studies have been conducted
                              to illustrate the general phenomena and underlying mechanisms of the ion beam fabrication
                              of 2D nanopore structures [20–22].
                                    The 2D materials adopted for the creation of nanopores mainly include graphene,
                              MoS2 and h-BN [23,24]. For applications of 2D nanopores in biosensing, a large elec-
                              tric field is often applied to drive the biomolecules through the nanopore, which results
                              in rapid penetration, limiting the resolution of detection. Moreover, this method only
                              works for biomolecules with net charges. Therefore, it is important to find suitable charge-
                              independent methods for nanopore biosensing. Recently, the nanopores in 2D vdW het-
                              erostructures, which are synthesized by vertically stacking two different 2D crystals [25],
                              were demonstrated to be able to drive the penetration of biomolecules by the difference
                              in binding affinities for each 2D surface, rather than the external electrical field [26–28].
                              The 2D vdW heterostructure nanopore could slow down the translocation speed of the
                              biomolecules as well, which is significant for applications such as DNA sequencing. There-
                              fore, the applications of 2D vdW heterostructure nanopores in biosensing present more
                              advantages. There is, however, limited research around the synthesis of nanopores in vdW
                              heterostructures, especially for the fabrication of nanopores in 2D vdW heterostructures by
                              ion beam irradiation.
                                    Hence, this paper focuses on the creation of nanopore structure in 2D vdW het-
                              erostructures using Ar ion beam irradiation, for which classical molecular dynamics (MD)
                              simulation method is adopted, while graphene/MoS2 (G/M, graphene layer facing the ion
                              beam) heterostructure is taken as the representative structure due to its well-demonstrated
                              performance in biosensing [26,28]. The nanopore formation process and the influence of
                              the irradiation parameters are revealed. By switching the stacking order of the 2D crystals,
                              i.e., generating the MoS2 /graphene (M/G) heterostructure, distinct phenomena can be
                              observed. The mechanical behavior of the heterostructure and nanopore under tensile
                              strain is investigated for actual applications.

                              2. Simulation Models
                                   In this study, the classical MD simulation method is applied through the large scale
                              atomic/molecular massively parallel simulator (LAMMPS) software [29]. LAMMPS is an
                              open source package with a record of successful demonstrations in describing the interac-
                              tions between ions and 2D materials [30–32]. Ar ions are selected for the irradiation, since
                              they are rich as an ion source in experiments [33,34] and widely used in other simulation
                              studies [22]. Monolayer graphene-MoS2 (G/M or M/G) heterostructures are the impact
                              target. The nanopore in a heterostructure is generated through the transfer of momentum
                              energy from energetic Ar to the heterostructure layers. To mimic this process, a hybrid
                              atomic potential is adopted. The interaction between Ar ions and atoms in a heterostruc-
                              ture is described by the Ziegler–Biersack–Littmark (ZBL) universal repulsive potential [35],
                              which can present atomic interaction at small separation during the irradiation. The inter-
                              action between the atoms in MoS2 is captured by a second-generation reactive empirical
                              bond-order (REBO) potential [36], and the interaction between the atoms in graphene is
                              considered as an adaptive intermolecular reactive bond order (AIREBO) potential [37]. The
                              vdW interaction between MoS2 and graphene crystal is modeled by the Lennard–Jones (LJ)
                              potential [38], which is parameterized according to [39,40]. The simulation model is illus-
FABRICATION OF NANOPORE IN MOS2-GRAPHENE VDW HETEROSTRUCTURE BY ION BEAM IRRADIATION AND THE MECHANICAL PERFORMANCE - MDPI
Nanomaterials 2022, 12, x FOR PEER REVIEW                                                                                                                  3 of 15

Nanomaterials 2022, 12, 196      graphene is considered as an adaptive intermolecular reactive bond order (AIREBO)                                             po-
                                                                                                                                                            3 of 15
                                 tential [37]. The vdW interaction between MoS2 and graphene crystal is modeled by the
                                 Lennard–Jones (LJ) potential [38], which is parameterized according to [39,40]. The simu-
                                 lation model is illustrated in Figure 1, which presents an in-plane size of 115 × 130 Å with
                                 trated in Figure 1, which presents an in-plane size of 115 × 130 Å with 11,124 atoms. The
                                 11,124 atoms. The in-plane directions of the simulation box are assigned with periodic
                                 in-plane directions of the simulation box are assigned with periodic boundary conditions,
                                 boundary conditions, while the out-of-plane direction is fixed to allow the injection of ion
                                 while the out-of-plane direction is fixed to allow the injection of ion beams. During the
                                 beams. During the ion irradiation process, the outermost several layers of the heterostruc-
                                 ion irradiation process, the outermost several layers of the heterostructure are fixed, and
                                 ture are fixed, and several adjacent layers are assigned with Berendsen temperature con-
                                 several adjacent layers are assigned with Berendsen temperature control [41], as shown in
                                 trol [41], as shown in Figure 1b. This strategy could prevent the heterostructure from over-
                                 Figure 1b. This strategy could prevent the heterostructure from overall movement, and
                                 all movement, and minimize the side effects of the ion induced pressure wave as well. The
                                 minimize the side effects of the ion induced pressure wave as well. The system is first
                                 system is first equilibrized through an NVT ensemble at 300 K for enough time to reach a
                                 equilibrized through an NVT ensemble at 300 K for enough time to reach a relaxed state.
                                 relaxed
                                 Then,       state. Then,
                                          consecutive         Arconsecutive       Ar ions emitted
                                                                  ions are randomly          are randomly from aemitted
                                                                                                                     cylinderfrom  withathecylinder     with the
                                                                                                                                               axis located      at
                                 the center of the heterostructure. The radius of the irradiated spot is 10 Å which is
                                 axis  located       at  the  center  of  the   heterostructure.        The     radius    of   the  irradiated     spot   can10beÅ
                                 which     can   be   achieved      by using    a  focused    ion   beam      technique
                                 achieved by using a focused ion beam technique in the experiment [42], and the cylinder is  in   the  experiment      [42],  and
                                 theÅcylinder
                                 40     on top of    is the
                                                         40 Å   on top of the heterostructure
                                                             heterostructure      plane. Ar ions are      plane.    Ar ions
                                                                                                             irradiated          are irradiated
                                                                                                                             every    1000 timestepsevery    1000
                                                                                                                                                           with   a
                                 timesteps       with     a  step  size  of   0.5 fs  to  achieve     a  certain      dose,
                                 step size of 0.5 fs to achieve a certain dose, during which process the system is stabilized  during     which    process     the
                                 system
                                 at 300 K.isIn stabilized
                                                    this study, at 300  K. Inion
                                                                   various      thisdoses
                                                                                      study,    various
                                                                                             from    1.59 ion× 10doses
                                                                                                                    15 /cm  from
                                                                                                                               2 to 1.59
                                                                                                                                     2.54 ××10 1016/cm
                                                                                                                                                15
                                                                                                                                                     /cmto2 and
                                                                                                                                                        2     2.54
                                 × 10 16  /cm  2  and     various   ion  energies     from    40  eV   to   5000    eV   are
                                 various ion energies from 40 eV to 5000 eV are considered to uncover the influence of ion     considered      to  uncover     the
                                 influence     of    ion   parameters     on   the  fabrication      of  the    nanopore.
                                 parameters on the fabrication of the nanopore. The studied ranges of ion dose and ion          The   studied    ranges    of  ion
                                 dose and
                                 energy        ionmatch
                                            also      energythe  also match the experimental
                                                                    experimental       conditions well    conditions
                                                                                                                 [33,34].wellAfter [33,34].  After the irradi-
                                                                                                                                      the irradiation      stage,
                                 ation   stage,     the   irradiated   structures      are annealed        at
                                 the irradiated structures are annealed at 2000 K for enough time to mimic the 2000    K  for   enough     time   to mimic
                                                                                                                                                     long-time the
                                 long-time process
                                 annealing      annealing        process
                                                             in actual     in actual experiments.
                                                                        experiments.       Finally, the systemFinally,isthe      system
                                                                                                                            cooled         is cooled
                                                                                                                                       to room          to room
                                                                                                                                                  temperature,
                                 temperature,
                                 and   kept at this   and    keptThe
                                                          state.   at this
                                                                       above state.  The above
                                                                                 simulation         simulation
                                                                                                scheme                scheme
                                                                                                             can reveal       thecan    reveal theduring
                                                                                                                                    phenomena          phenom- the
                                 ena irradiation
                                 ion   during the process,
                                                         ion irradiation      process, asby
                                                                    as demonstrated           demonstrated
                                                                                                many researchers    by many        researchers [32,43].
                                                                                                                            [32,43].
                                        After the ion irradiation
                                                              irradiation and annealing
                                                                                    annealing process, the obtained    obtained atomic coordinates of
                                 the heterostructures
                                      heterostructures with     with nanopores
                                                                      nanopores are   are extracted
                                                                                           extracted and  and a uniaxial tensile stretching process
                                 is applied to investigate the mechanical performance of the nanopore structure.                         structure. One side
                                 of the
                                     the irradiated
                                           irradiatedstructure
                                                             structureisisfixed
                                                                             fixedandandthethe
                                                                                             other    sideside
                                                                                                  other      is stretched
                                                                                                                   is stretched with with
                                                                                                                                       a strain  rate ofrate
                                                                                                                                              a strain     0.0005of
                                 ps−1. The
                                 0.0005    ps−stress
                                                 1 . Theinformation         for each
                                                            stress information       foratom
                                                                                          each isatomfirstiscalculated
                                                                                                               first calculatedand then      stress
                                                                                                                                      and then        along
                                                                                                                                                   stress      the
                                                                                                                                                           along
                                 stretching
                                 the  stretching direction      is summed
                                                         direction   is summed  up for upallfor
                                                                                              theallatoms
                                                                                                      the atomsto getto thegetoverall    stress of
                                                                                                                                  the overall         the whole
                                                                                                                                                  stress   of the
                                 system.system.
                                 whole       The overall        stress values
                                                         The overall               are averaged
                                                                        stress values      are averagedevery every500 timesteps
                                                                                                                          500 timestepsfor outputting       to re-
                                                                                                                                               for outputting
                                 to reduce
                                 duce           the fluctuation
                                         the fluctuation         of theofdata.
                                                                           the Thereafter,
                                                                                 data. Thereafter,          the stress-strain
                                                                                                 the stress-strain                    relationship
                                                                                                                           relationship      for eachfor     each
                                                                                                                                                          system
                                 system
                                 is obtainedis obtained        and plotted.
                                                    and plotted.     To showTothe    show    the dynamics
                                                                                         dynamics       of stressofevolution
                                                                                                                        stress evolution
                                                                                                                                     for eachfor atomeachduring
                                                                                                                                                            atom
                                 during     the stretching
                                 the stretching          process,process,     the per-atom
                                                                    the per-atom                 stress information
                                                                                        stress information           is also isoutputted,
                                                                                                                                   also outputted,
                                                                                                                                                and the and    the
                                                                                                                                                            Open
                                 Open     Visualization
                                 Visualization                   Tool (OVITO)
                                                       Tool (OVITO)       software   software      [44] is adopted
                                                                                        [44] is adopted                     for visualizing.
                                                                                                                for visualizing.                     The other
                                                                                                                                       The other configura-
                                 configurations
                                 tions are visualized    are visualized     by the
                                                                by the Visual         Visual Molecular
                                                                                  Molecular       DynamicsDynamics (VMD) program (VMD) program
                                                                                                                                            [45].       [45].

                                         1. Simulation
                                 Figure 1.  Simulation models of
                                                              of the
                                                                  the M/G
                                                                      M/G nanopore fabrication by ion beam
                                                                                                      beam irradiation.
                                                                                                            irradiation. (a) Front
                                 view, and
                                 view, and (b)
                                             (b) top
                                                  top view.
                                                      view.
FABRICATION OF NANOPORE IN MOS2-GRAPHENE VDW HETEROSTRUCTURE BY ION BEAM IRRADIATION AND THE MECHANICAL PERFORMANCE - MDPI
Nanomaterials 2022, 12, 196                                                                                                                         4 of 15

                        Nanomaterials 2022, 12, x FOR PEER REVIEW                                                                                                4 of 1

                                     3. Results and Discussion
                                     3.1. Dynamic Formation Process of Nanopore
                                                          3. Results and Discussion
                                          During ion 3.1.
                                                       irradiation,     the irradiated
                                                            Dynamic Formation       Processparticle
                                                                                               of Nanoporewould interact with atoms in the 2D
                                     crystals, which may lead to four phenomena, i.e., reflection, absorption, embedment, or
                                                             During ion irradiation, the irradiated particle would interact with atoms in the 2D
                                     penetration, depending on the impact energy [46]. The momentum energy would be
                                                       crystals, which may lead to four phenomena, i.e., reflection, absorption, embedment, o
                                     transferred frompenetration,
                                                         the Ar ionsdepending
                                                                        to the atoms   on inthe2D   vdW energy
                                                                                                  impact    heterostructure,         which induces
                                                                                                                       [46]. The momentum                 the would b
                                                                                                                                                     energy
                                     fluctuation of thetransferred
                                                         heterostructure
                                                                     from the plane   and to
                                                                                  Ar ions    generates
                                                                                                 the atoms  knocked-out        atoms if the irradiation
                                                                                                              in 2D vdW heterostructure,            which induces th
                                     energy is high enough.
                                                       fluctuation of the heterostructure plane and generates knocked-out atoms if the irradia
                                          Figure 2 shows     the dynamics
                                                       tion energy                of formation of the nanopore structure in G/M het-
                                                                     is high enough.
                                     erostructure with an irradiation
                                                             Figure 2 shows parameter       pair ofof200
                                                                                 the dynamics               eV, 1.27of×the
                                                                                                        formation          1016   /cm2 . The
                                                                                                                               nanopore          colorsinare
                                                                                                                                             structure      G/M hetero
                                     used to mark thestructure
                                                         coordinates
                                                                   with of
                                                                         an each    atom,parameter
                                                                             irradiation      so that we     canofobtain
                                                                                                           pair      200 eV,the1.27displacement
                                                                                                                                     × 1016 /cm2. Theofcolors
                                                                                                                                                          the are used
                                     atoms under different
                                                       to markirradiation     times.ofThe
                                                                 the coordinates         each initial
                                                                                                 atom,blue    color
                                                                                                         so that  weindicates
                                                                                                                       can obtainthe  therandom      fluctua-
                                                                                                                                           displacement     of the atom
                                                       under
                                     tion of the structure     different
                                                            during         irradiation process
                                                                     the annealing         times. The     initial
                                                                                                      (time   = 0blue
                                                                                                                    ps). color
                                                                                                                          Afterindicates      the random
                                                                                                                                   being irradiated,      thefluctuation
                                                       of the structure
                                     atoms at the irradiated    area would  during
                                                                                move  the   annealing
                                                                                        along              process (time
                                                                                                   the irradiation            = 0 ps).
                                                                                                                        direction     andAfter   beingfrom
                                                                                                                                            separate     irradiated, th
                                     the heterostructure plane at a certain energy level, generating irregular defects when separate
                                                       atoms   at the irradiated    area   would     move   along    the irradiation    direction    and  the       from
                                                       the  heterostructure     plane   at  a  certain   energy    level,  generating
                                     irradiation time is short (time = 2 ps). The damaged area is initially characterized rough           irregular   defects  when   th
                                                       irradiation  time    is short  (time    =  2 ps).  The  damaged       area
                                     edges and dangling molecular chains. With the increase of irradiation time, more atoms in      is initially  characterized    rough
                                                       edges
                                     the heterostructure       and be
                                                           would    dangling
                                                                        sputteredmolecular
                                                                                      and the   chains.   With structure
                                                                                                   nanopore       the increase     of irradiation
                                                                                                                               would     be initiatedtime,
                                                                                                                                                         andmore atom
                                                       in the heterostructure would be sputtered and the nanopore structure would be initiated
                                     grown radially (time = 5 ps). The dangling molecular chains would be gradually cleared
                                                       and grown radially (time = 5 ps). The dangling molecular chains would be graduall
                                     up, resulting in a smoother pore structure (time = 10 ps). Eventually, the nanopore becomes
                                                       cleared up, resulting in a smoother pore structure (time = 10 ps). Eventually, the nanopor
                                     stabilized, and the  atoms at the pore edges fluctuate only slightly because there is no more
                                                       becomes stabilized, and the atoms at the pore edges fluctuate only slightly because ther
                                     impact from the is irradiation    (timefrom
                                                          no more impact        = 26 the
                                                                                      ps).irradiation
                                                                                             Figure 2b(time gives    theps).
                                                                                                                  = 26    leftFigure
                                                                                                                                views2bofgives
                                                                                                                                             the structure
                                                                                                                                                   the left views of th
                                     during the irradiation   process,    which    reveals     a large   displacement       for   the
                                                       structure during the irradiation process, which reveals a large displacement    atoms    at the porefor the atom
                                     edge at the beginning,     while
                                                       at the pore  edge there   is beginning,
                                                                            at the  a small displacement
                                                                                                    while there isfor     the edge
                                                                                                                       a small          atoms when
                                                                                                                                 displacement             the
                                                                                                                                                    for the  edge atom
                                     pore structure gets
                                                       whenformed.
                                                              the pore The   random
                                                                          structure   getslocation
                                                                                             formed.ofThe  therandom
                                                                                                                red colored
                                                                                                                          locationatoms
                                                                                                                                      of theindicates
                                                                                                                                              red coloredthatatoms indi
                                     there are some rebounded       atoms
                                                       cates that there    areduring    the generation
                                                                                some rebounded         atomsof     the nanopore.
                                                                                                                during    the generation of the nanopore.

                                     Figure 2. StructuralFigure   2. Structural
                                                           evolution            evolution
                                                                        of the G/M        of the G/M heterostructure
                                                                                     heterostructure                   under ion(a)
                                                                                                      under ion irradiation.     irradiation. (a) Front
                                                                                                                                    Front view,   and view, an
                                                         (b) left view. Ion energy is 200 eV, ion dose
                                                                                                   16   is 1.27
                                                                                                           2    × 1016 /cm2. The atoms are colored according t
                                     (b) left view. Ion energy is 200 eV, ion dose is 1.27 × 10 /cm . The atoms are colored according to
                                                         the z coordinates. z is defined as the coordinate axis along the irradiation direction.
                                     the z coordinates. z is defined as the coordinate axis along the irradiation direction.
                                                          3.2. Influence of Ion Irradiation Energy and Dose
                                     3.2. Influence of Ion Irradiation Energy and Dose
                                                                As illustrated in the above, ion irradiation may be able to create a nanopore in th
                                           As illustrated   in the above, ion irradiation may be able to create a nanopore in the
                                                        heterostructure at a certain ion irradiation energy and dose. However, this does not mean
                                     heterostructure at thatcertain
                                                           a          ion irradiation
                                                             the desired    pore structure energy
                                                                                              can beand    dose.atHowever,
                                                                                                       formed                  this doesAs
                                                                                                                  any ion parameter.       not meanin Figure 3
                                                                                                                                             shown
                                     that the desired pore    structure    can   be  formed    at any   ion  parameter.    As   shown
                                                        when the ion energy is small (80 eV), the formed pore is far from the designed   in Figure  3, structur
                                     when the ion energy(rediscircled
                                                                smallarea),
                                                                       (80 eV),   the formed
                                                                              regardless         pore
                                                                                            of the  ionisirradiation
                                                                                                           far from the  designed
                                                                                                                      dose  (2.54 × 10structure  (red
                                                                                                                                       16/cm2 is actually a rela
                                     circled area), regardless    of the
                                                        tively high   ionion   irradiation
                                                                           dose).  Meanwhile, doseif (2.54
                                                                                                     the ion   1016 /cm
                                                                                                             ×dose       2 is actually 15
                                                                                                                    is small  (3.18 × 10 a relatively
                                                                                                                                           /cm2), the generated
                                     high ion dose). Meanwhile,
                                                        pore would if     thebeion
                                                                       also      fardose
                                                                                      fromisthe
                                                                                             small    (3.18 ×
                                                                                                 designed       1015regardless
                                                                                                             form,    /cm2 ), theof generated    pore energ
                                                                                                                                    the ion irradiation
                                     would also be far(5000
                                                          fromeVtheisdesigned
                                                                      actually aform,     regardless
                                                                                    relatively  high ion of energy).
                                                                                                            the ion irradiation
                                                                                                                     Therefore, to energy
                                                                                                                                     achieve(5000  eV
                                                                                                                                               a nanopore   wit
                                                        desiredhigh
                                     is actually a relatively     structure,  it is necessary
                                                                        ion energy).            to carefully
                                                                                          Therefore,           controlathe
                                                                                                         to achieve         ion irradiation
                                                                                                                         nanopore            parameters.
                                                                                                                                      with desired
                                     structure, it is necessary to carefully control the ion irradiation parameters.
FABRICATION OF NANOPORE IN MOS2-GRAPHENE VDW HETEROSTRUCTURE BY ION BEAM IRRADIATION AND THE MECHANICAL PERFORMANCE - MDPI
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                                                        Figure 3.
                                      Figure 3. Morphologies    of Morphologies   of the G/M heterostructure
                                                                   the G/M heterostructure                         under ion
                                                                                                under ion irradiation         irradiation
                                                                                                                           with           with pair
                                                                                                                                 a parameter   a parameter
                                                                                                                                                     of      pair
                                                        (a) 80 eV,
                                                                16 and 2.54
                                                                        2   × 1016 /cm2. (b) 5000 eV,153.18 × 21015 /cm2. The red colored circle is used to indic
                                      (a) 80 eV, and 2.54 × 10 /cm . (b) 5000 eV, 3.18 × 10 /cm . The red colored circle is used to
                                                        the irradiation area.
                                      indicate the irradiation area.
                                                             Figure 4 gives the morphologies of the G/M heterostructure irradiated by ions w
                                           Figure 4 gives the morphologies of the G/M heterostructure irradiated                         by ions with
                                                      energies from 60 eV to 1000 eV, and doses15from 1.59                   × 1015 /cm2 to 2.54 × 1016 /cm2.
                                    energies from 60 eV to 1000 eV, and doses from 1.59 × 10 /cm2 to 2.54 × 1016 /cm2 . As
                                                      shown in Figure 4a, when the irradiation energy is 60 eV, the irradiated area present
                                    shown in Figure 4a, when the irradiation energy is 60 eV, the irradiated area presents a
                                                      morphology more like irregular defects, rather than a pore structure. The area gradua
                                    morphology more like irregular defects, rather than a pore structure. The area gradually
                                                      develops into a nanopore structure when the ion energy increases from 100 eV to 200 e
                                    develops into a Itnanopore       structure when the ion energy increases from 100 eV to 200 eV. It
                                                         is seen that under ion irradiation energy above 200 eV (i.e., from 200 eV to 1000 e
                                    is seen that under    ion  irradiation
                                                      there is little change    energy
                                                                                   for theabove
                                                                                            pore 200   eV (i.e.,
                                                                                                  structure.    Asfrom   200 eV
                                                                                                                    depicted       to 10004b,
                                                                                                                               in Figure    eV),  there
                                                                                                                                               with   an ion irrad
                                    is little change for
                                                      tionthedosepore    structure.
                                                                    of 1.59             As 2depicted
                                                                               × 1015 /cm    and 3.18 ×in10 Figure
                                                                                                              15 /cm24b,   with
                                                                                                                      , there     an ion
                                                                                                                               would    beirradiation
                                                                                                                                            obvious long residu
                                                      1015 /cm
                                    dose of 1.59 × carbon           2 and 3.18 × 1015 /cm2 , there would be obvious long residual
                                                                bonds     in the graphene plane, while the residual bonds in the MoS2 layer are ve
                                    carbon bonds in      the graphene
                                                      limited,    indicatingplane,      while
                                                                                  an easier     the residual
                                                                                              knock-out            bonds ininthe
                                                                                                           phenomenon            MoS MoS   2 layer
                                                                                                                                       2 when
                                                                                                                                                     are
                                                                                                                                                 compared     to g
                                    very limited, indicating        an   easier    knock-out    phenomenon          in  MoS
                                                      phene. Under higher irradiation dosage, these long residual carbon bonds
                                                                                                                             2  when    compared      to would
                                    graphene. Under       higher
                                                      largely       irradiation
                                                                cleared    up and dosage,
                                                                                     a nanoporethese
                                                                                                   withlong
                                                                                                         highresidual     carbonbebonds
                                                                                                                 quality would       formed.would     be
                                                                                                                                                The residual   cha
                                    largely cleared would
                                                       up and      a  nanopore       with   high   quality   would      be formed.      The   residual
                                                                be largely reduced, though they still exist around the nanopore edge. These res
                                    chains would beual  largely
                                                            bondsreduced,
                                                                      are usuallythough    they still
                                                                                     chemically       existproviding
                                                                                                   active,   around the     nanopore
                                                                                                                          ideal  sites foredge.  These
                                                                                                                                            the hydrogenation
                                    residual bonds areandusually      chemically
                                                             nitridation     [10] of active,  providing
                                                                                      the nanopore         ideal sites
                                                                                                       structure,        for is
                                                                                                                     which   theimportant
                                                                                                                                  hydrogenation
                                                                                                                                             for some[9] applicati
                                    and nitridation scenarios.
                                                       [10] of theEven nanopore
                                                                            thoughstructure,       which
                                                                                      ion irradiation       is aimportant
                                                                                                         with                for some
                                                                                                                  higher energy           application
                                                                                                                                   and larger   dose could be he
                                    scenarios. Evenfulthough        ion an
                                                           to achieve     irradiation     with a the
                                                                               ideal nanopore,     higher    energyenergy
                                                                                                        redundant       and larger    dosemay
                                                                                                                                and dose     could    be
                                                                                                                                                  be detrimental
                                    helpful to achievethean   ideal nanopore,
                                                           experimental             the redundant
                                                                              equipment,              energy
                                                                                              which means         and
                                                                                                               that thedose  may beof
                                                                                                                         derivation    detrimental
                                                                                                                                         an optimized  to irradiati
                                    the
Nanomaterials 2022, 12, x FOR PEER REVIEWexperimental    equipment,
                                                      parameter       pairwhich
                                                                            (the    means
                                                                                  least      that the
                                                                                        irradiation    derivation
                                                                                                      energy     and  of an
                                                                                                                      dose   optimized
                                                                                                                            for  generatingirradiation
                                                                                                                                               a good-quality
                                                                                                                                                 6 of 15         po
                                    parameter pair structure)        is needed. energy and dose for generating a good-quality pore
                                                      (the least irradiation
                                    structure) is needed.

                                      Figure 4. Cont.

                                     Figure 4. Configurations of the G/M heterostructure under ion irradiation with different ion ener-
                                     gies and ion doses. (a) The influence of ion energy under a constant ion dose of 1.27 × 1016 /cm2. (b)
                                     The influence of ion dose under a constant ion energy of 200 eV. The red colored circle is used to
FABRICATION OF NANOPORE IN MOS2-GRAPHENE VDW HETEROSTRUCTURE BY ION BEAM IRRADIATION AND THE MECHANICAL PERFORMANCE - MDPI
Nanomaterials 2022, 12, 196                                                                                                                          6 of 15

                               Figure 4.
                              Figure       Configurations of
                                        4. Configurations    of the
                                                                the G/M
                                                                    G/M heterostructure
                                                                           heterostructureunder
                                                                                             underion
                                                                                                    ionirradiation
                                                                                                         irradiationwith
                                                                                                                      with different
                                                                                                                             differentionionenergies
                                                                                                                                               ener-
                               and and
                              gies   ion doses.  (a) The
                                          ion doses.  (a) influence  of ionofenergy
                                                          The influence              underunder
                                                                              ion energy    a constant ion dose
                                                                                                 a constant   ion of
                                                                                                                  dose        1016× /cm
                                                                                                                     1.27of×1.27    1016 2/cm
                                                                                                                                           . (b)2. The
                                                                                                                                                   (b)
                              The   influence
                               influence        ofdose
                                           of ion  ion dose
                                                        under under   a constant
                                                                a constant         ion energy
                                                                             ion energy  of 200of
                                                                                                eV.200
                                                                                                    TheeV.
                                                                                                         redThe  red colored
                                                                                                             colored   circle iscircle
                                                                                                                                 used tois used
                                                                                                                                            indicateto
                              indicate   the irradiation
                               the irradiation   area. area.

                                      Figure 55plots
                                     Figure        plotsthe thedependence
                                                                  dependenceofofthe      thenumber
                                                                                               number    of of  sputtered
                                                                                                             sputtered        atoms
                                                                                                                           atoms        of the
                                                                                                                                    of the  G/M  G/M     het-
                                                                                                                                                    hetero-
                               erostructure
                              structure         on ion
                                           on ion          irradiation
                                                     irradiation            energy
                                                                       energy    andand ioniondose.dose.   It clearly
                                                                                                      It clearly        shows
                                                                                                                    shows    thatthat
                                                                                                                                   withwith
                                                                                                                                          thethe   increase
                                                                                                                                              increase    of
                               of ion
                              ion       irradiation
                                    irradiation         energy
                                                    energy      and and   dose,
                                                                       dose,   thethe   number
                                                                                     number       ofofsputtered
                                                                                                        sputteredatomsatomsfor forall
                                                                                                                                    allthe
                                                                                                                                        thecases
                                                                                                                                             cases would
                                                                                                                                                     would
                               increase. When
                              increase.     Whenthe   theionionirradiation
                                                                 irradiationenergyenergyisislow  low(80(80eVeVand and100
                                                                                                                       100eV),
                                                                                                                            eV),thethenumber
                                                                                                                                        numberof    ofsput-
                                                                                                                                                       sput-
                               tered   atoms    is small     and    increases    quickly     with    the  addition     of
                              tered atoms is small and increases quickly with the addition of the irradiation dose. It canthe  irradiation    dose.   It can
                               be  expected     that   under     these     two  cases,    the  number       of  sputtered
                              be expected that under these two cases, the number of sputtered atoms would be further          atoms    would    be  further
                                                                                                                                   16       2 When the
                               increased if
                              increased     if the ion dose is      is raised
                                                                       raised beyond
                                                                                beyondthe    thestudied
                                                                                                   studiedrange         (2.54××10
                                                                                                               range(2.54        1016 /cm
                                                                                                                                       /cm2).). When     the
                               irradiationenergy
                              irradiation      energyisishigh high(200(200eV,eV, 300
                                                                                  300 eVeV and
                                                                                            and 400 400 eV),
                                                                                                         eV), thethe number
                                                                                                                     number of   of sputtered
                                                                                                                                     sputtered atoms
                                                                                                                                                  atoms is is
                               relatively   large    and    a  steady    status   is  quickly     achieved     with   the
                              relatively large and a steady status is quickly achieved with the increase of ion irradiationincrease    of ion  irradiation
                               dose. Moreover,
                              dose.     Moreover,the    thethree
                                                              threecases,
                                                                       cases,i.e.,
                                                                               i.e.,200
                                                                                      200eV,eV,300300eVeVandand400 400eV,eV, present
                                                                                                                              present very
                                                                                                                                         very close
                                                                                                                                               closedata,
                                                                                                                                                       data,
                               indicating     that   200    eV   irradiation      energy      is  large   enough
                              indicating that 200 eV irradiation energy is large enough to generate the desired pore  to  generate     the  desired    pore
                              structure. Further increase of the irradiation energy has limited benefit to the quality the
                               structure.   Further      increase     of  the irradiation      energy     has   limited   benefit   to the  quality   of  of
                               nanopore,
                              the  nanopore, while     it would
                                                   while     it wouldintroduce
                                                                           introducelarge   sideside
                                                                                         large     effects    to the
                                                                                                        effects    to equipment
                                                                                                                      the equipment   in the
                                                                                                                                           in experiment.
                                                                                                                                              the experi-
                               Therefore,
                              ment.          200 eV200
                                       Therefore,        is determined
                                                              eV is determinedas the optimal        ion irradiation
                                                                                         as the optimal                  energy. As
                                                                                                               ion irradiation          for theAs
                                                                                                                                    energy.      influence
                                                                                                                                                    for the
                               of the   ion irradiation
                              influence of the ion irradiation dose,    the  number
                                                                             dose,   the of  sputtered
                                                                                          number       of   atoms
                                                                                                          sputtered  becomes
                                                                                                                         atoms    stable
                                                                                                                                  becomes  after  reaching
                                                                                                                                              stable   after
                               the ion dose                × 10   16 /cm2 , indicating 1.27 × 1016 /cm2 as the optimal ion irradiation
                              reaching     the ofion1.27
                                                       dose     of 1.27     × 1016 /cm2, indicating 1.27 × 1016 /cm2 as the optimal ion
                               dose. Therefore,
                              irradiation              the optimalthe
                                             dose. Therefore,             parameter      pair to obtain
                                                                             optimal parameter           pairato  high-quality    nanopore nanopore
                                                                                                                    obtain a high-quality       is derived
                               as 200    eV  and    1.27   ×    10 16 /cm2 . The detailed nanopore structures generated under ion
                              is derived as 200 eV and 1.27 × 10               16 /cm2. The detailed nanopore structures generated un-
                               irradiation of 200 eV, 1.27 × 1016 /cm                  2 and 400 eV, 2.54 × 1016 /cm2 are also compared
                              der ion irradiation of 200 eV, 1.27 × 1016 /cm2 and 400 eV, 2.54 × 1016 /cm2 are also compared
                               in Figure 5, which shows that the optimal parameter pair is able to generate the desired
                              in Figure 5, which shows that the optimal parameter pair is able to generate the desired
                               structure, while increasing ion energy and dose has limited effect on the improvement of
                              structure, while increasing ion energy and dose has limited effect on the improvement of
                               the nanopore quality.
                              the nanopore quality.
                              3.3. Influence of the Stacking Order
                                   Graphene and MoS2 have different damage thresholds under ion beam irradiation.
                              Therefore, there might be distinguishing irradiation phenomena if we switch the stacking
                              order of the two layers. Figure 6 shows the configuration of M/G heterostructure (MoS2
                              facing the ion beam) under ion irradiation. It indicates that under a low irradiation energy
                              (60 eV), the top MoS2 layer is quickly removed in the irradiated area, while the bottom
                              graphene layer is largely retained with some dangling bonds generated. With the increase of
                              irradiation energy, the graphene layer with the dangling bonds would be gradually cleared
                              up, generating the MoS2 /graphene nanopore structure (200 eV). The final configuration
                              would be stable if the ion energy is large enough (above 300 eV). With the constant ion
                              energy of 300 eV (Figure 6b), the low ion dose (1.59 × 1015 /cm2 ) would result in irregular
                              damage with a lot of dangling molecular chains in the irradiation area, while an increase of
                              ion dose can lead to the final formation of the desired nanopore structure.
FABRICATION OF NANOPORE IN MOS2-GRAPHENE VDW HETEROSTRUCTURE BY ION BEAM IRRADIATION AND THE MECHANICAL PERFORMANCE - MDPI
Nanomaterials 2022, 12, x FOR PEER REVIEW                                                                                             7
Nanomaterials 2022, 12, 196                                                                                                           7 of 15

                                  Figure 5. Number
                                                Figure of 5.
                                                          sputtered
                                                             Numberatoms     of the G/M
                                                                        of sputtered      heterostructure
                                                                                      atoms                under ion irradiation
                                                                                             of the G/M heterostructure   under with  different with di
                                                                                                                                 ion irradiation
                                  ion energies and
                                                ent ion
                                                     iondoses.  Theand
                                                          energies     inserted  figures
                                                                           ion doses.    show
                                                                                       The     the configurations
                                                                                           inserted  figures showof  200
                                                                                                                   the   eV, 1.27 × 1016of/cm
                                                                                                                       configurations      2002eV,
                                                                                                                                               , 1.27 ×
                                                /cm×, 10
                                  and 400 eV, 2.54   2    16
                                                        and 400  2
                                                             /cmeV,   2.54 × 10 /cm , respectively.
                                                                                16
                                                                   , respectively.     2

                                       Compared     to the results
                                               3.3. Influence  of thein Figure Order
                                                                      Stacking  5, the configurations of the M/G heterostructure
                                  in Figure 6 demonstrate a similar phenomenon—that a nanopore structure in both het-
                                                     Graphene and MoS2 have different damage thresholds under ion beam irradiat
                                  erostructures would be gradually generated with the increase of ion irradiation energy
                                               Therefore, there might be distinguishing irradiation phenomena if we switch the stack
                                  and dose, while it seems that the M/G heterostructure requires a higher irradiation energy
                                               order of the two layers. Figure 6 shows the configuration of M/G heterostructure (M
                                  for nanopore formation. The MoS2 and graphene layer in the M/G heterostructure gets
                                               facing the ion beam) under ion irradiation. It indicates that under a low irradiation ene
                                  damaged with an obvious order of precedence, i.e., the MoS2 gets damaged first while the
                                               (60 eV), the top MoS2 layer is quickly removed in the irradiated area, while the bot
                                  damage to the graphene layer depends clearly on the irradiation energy. Therefore, we can
                                               graphene layer is largely retained with some dangling bonds generated. With the incre
                                  suspect that by carefully controlling the ion irradiation energy and dose, a nanopore might
                                               of irradiation energy, the graphene layer with the dangling bonds would be gradu
                                  be generated in the MoS2 layer only, while the graphene layer stays undamaged. Figure 7
                                               cleared up, generating the MoS2/graphene nanopore structure (200 eV). The final con
                                  shows that under the ion parameter pair of 80 eV, 3.18 × 1015 /cm2 , the nanopore structure
                                               uration would be stable if the ion energy is large enough (above 300 eV). With the cons
                                  can be formed in the top MoS2 layer, with no damage in bottom graphene layer, which
                                               ion energy
                                  cannot be achieved         ofcase
                                                        in the  300 of
                                                                     eVG/M
                                                                         (Figure 6b), the low ion
                                                                              heterostructure. Thedose (1.59 creation
                                                                                                   selective  × 1015/cmof2) awould result in irre
                                                                                                                              nanopore
                                  in a MoS2 layer may have important applications which need experimental validation. while an
                                               lar damage     with   a lot of dangling  molecular  chains  in  the irradiation   area,
                                               crease of ion dose can lead to the final formation of the desired nanopore structure.
                                                     Compared to the results in Figure 5, the configurations of the M/G heterostructur
                                               Figure 6 demonstrate a similar phenomenon—that a nanopore structure in both het
                                               structures would be gradually generated with the increase of ion irradiation energy
                                               dose, while it seems that the M/G heterostructure requires a higher irradiation energy
FABRICATION OF NANOPORE IN MOS2-GRAPHENE VDW HETEROSTRUCTURE BY ION BEAM IRRADIATION AND THE MECHANICAL PERFORMANCE - MDPI
can
                               cansuspect
                                    suspectthat
                                              thatby
                                                   bycarefully
                                                        carefullycontrolling
                                                                  controllingthe theion
                                                                                      ionirradiation
                                                                                           irradiationenergy
                                                                                                         energyand anddose,
                                                                                                                         dose,a ananopore
                                                                                                                                  nanopore
                              might  be  generated     in the MoS   2 layer only, while the graphene layer stays undamaged.
                               might be generated in the MoS2 layer only, while the graphene layer stays undamaged.
                              Figure
                               Figure7 7shows
                                          showsthat
                                                  thatunder
                                                         underthe
                                                                theion
                                                                     ionparameter
                                                                         parameterpair pairofof8080eV,  3.18× ×101015/cm
                                                                                                    eV,3.18
                                                                                                                  15
                                                                                                                       /cm,2the
                                                                                                                          2
                                                                                                                            , thenanopore
                                                                                                                                  nanopore
                              structure  can  be formed    in the top   MoS  2 layer, with no damage in bottom graphene layer,
                               structure can be formed in the top MoS2 layer, with no damage in bottom graphene layer,
                              which
                               whichcannot
                                       cannotbebeachieved
                                                    achievedininthethecase
                                                                        caseofofG/M
                                                                                 G/Mheterostructure.
                                                                                        heterostructure.The Theselective
                                                                                                                   selectivecreation
                                                                                                                               creationofofa a
Nanomaterials 2022, 12, 196   nanopore    in a MoS  2 layer may have important applications which need experimental val-
                                                                                                                                     8 of 15
                               nanopore in a MoS2 layer may have important applications which need experimental val-
                              idation.
                               idation.

                              Figure      Configurations
                                Figure6.6.Configurations
                                           Configurations      ofof
                                                              of   the
                                                                 the   M/G
                                                                       M/G
                                                                     the M/G  heterostructure
                                                                              heterostructure
                                                                                heterostructure  under
                                                                                               under    ion
                                                                                                      ion
                                                                                                  under      irradiation
                                                                                                           irradiation
                                                                                                          ion              with
                                                                                                                         with
                                                                                                               irradiation       different
                                                                                                                              different
                                                                                                                            with          ionion
                                                                                                                                   different     ionener-
                                                                                                                                                energies
                                                                                                                                                     ener-
                              gies
                              and  and   ion  doses.   (a)  The  influence    of ion energy  under   a constant    ion dose  of
                                gies and ion doses. (a) The influence of ion energy under a constant ion dose of 1.27 × 10 (b)
                                   ion doses.    (a) The   influence   of  ion energy   under  a constant  ion  dose  of 1.27 × 1.27
                                                                                                                                  1016×/cm
                                                                                                                                         10 162/cm2. (b)
                                                                                                                                               .
                                                                                                                                              16  /cmThe
                                                                                                                                                      2. (b)
                              The
                                Theinfluence
                              influence   of ionofof
                                     influence      ion
                                                  doseiondose
                                                           doseunder
                                                         under    aunder a aconstant
                                                                    constant          ion
                                                                                        ionenergy
                                                                               ion energy
                                                                             constant       of 300 of
                                                                                            energy  of300
                                                                                                   eV. 300eV.
                                                                                                       The   eV.The
                                                                                                             red  Thered
                                                                                                                       redcolored
                                                                                                                  colored  circle is circle
                                                                                                                            colored  used    isisindicate
                                                                                                                                            to
                                                                                                                                       circle     used
                                                                                                                                                   usedtoto
                              indicate
                                indicate
                              the       the
                                          theirradiation
                                  irradiation  irradiation
                                                 area.       area.
                                                              area.

                              Figure
                                Figure7.
                              Figure   7.7.Configurations
                                            Configurationsof
                                          Configurations       the
                                                            ofofthe  M/G
                                                                      M/Gheterostructure
                                                                  theM/G  heterostructureunder
                                                                         heterostructure  underion
                                                                                         under   ionirradiation
                                                                                                ion   irradiationwith
                                                                                                    irradiation   withaa aparameter
                                                                                                                 with      parameterpair
                                                                                                                          parameter  pairof
                                                                                                                                    pair ofof
                              8080eV, 3.18
                                   eV,3.18  × 10
                                        3.18××10
                                                15 /cm2.
                                                 15
                                               10 /cm
                                                  15     2
                                                     /cm ..
                                                         2
                              80 eV,

                                   To derive the optimal ion irradiation parameters for M/G heterostructure, the de-
                              pendence of the number of sputtered atoms on ion irradiation energies and ion doses is
                              plotted in Figure 8, from which it can be seen that the number of sputtered atoms would
                              increase with the increase of ion irradiation energy and ion irradiation dose. For the cases
                              of 80 eV, 100 eV and 200 eV, the number of sputtered atoms continuously increases within
                              the studied ion dose range. However, for the cases of 300 eV and 400 eV, the number of
                              sputtered atoms rises quickly at first and then reaches an equilibrium value at a dose of
                              around 1.27 × 1016 /cm2 . Combined with the results in Figure 6, we can determine that the
                              optimal ion parameter pair for M/G heterostructure to achieve a good-quality nanopore is
FABRICATION OF NANOPORE IN MOS2-GRAPHENE VDW HETEROSTRUCTURE BY ION BEAM IRRADIATION AND THE MECHANICAL PERFORMANCE - MDPI
plotted in Figure 8, from which it can be seen that the number of sputtered atoms would
                               increase with the increase of ion irradiation energy and ion irradiation dose. For the cases
                               of 80 eV, 100 eV and 200 eV, the number of sputtered atoms continuously increases within
                               the studied ion dose range. However, for the cases of 300 eV and 400 eV, the number of
Nanomaterials 2022, 12, 196    sputtered atoms rises quickly at first and then reaches an equilibrium value at a dose                                  of
                                                                                                                                                 9 of 15
                               around 1.27 × 1016 /cm2. Combined with the results in Figure 6, we can determine that the
                               optimal ion parameter pair for M/G heterostructure to achieve a good-quality nanopore
                               is 300 eV, 1.27 × 1016 /cm2, under which condition the influence of redundant ions on the
                              300 eV, 1.27 × 1016 /cm2 , under which condition the influence of redundant ions on the
                               equipment is minimized.
                              equipment is minimized.
                                     In addition, it is observed that for most of the studied cases, the number of sputtered
                                    In addition, it is observed that for most of the studied cases, the number of sputtered
                               atoms
                              atoms for for M/G
                                            M/G heterostructure
                                                     heterostructure is    is noticeably
                                                                              noticeably smaller
                                                                                               smaller than
                                                                                                          than that
                                                                                                                 that for
                                                                                                                       forG/MG/M heterostructure.
                                                                                                                                    heterostructure.
                               This  is because     the  graphene      layer   is more     resistant  to  the  ion  irradiation
                              This is because the graphene layer is more resistant to the ion irradiation when compared             when    compared
                               to the  MoS   2 layer [31,43]. For the G/M heterostructure, if the ion energy is high enough to
                              to the MoS2 layer [31,43]. For the G/M heterostructure, if the ion energy is high enough to
                               knock out
                              knock     out the
                                             the atoms
                                                   atoms in in graphene,
                                                                graphene, then then itit is
                                                                                          is highly
                                                                                             highly probable
                                                                                                      probable that that the
                                                                                                                          the irradiated
                                                                                                                                irradiated ions
                                                                                                                                             ions and
                                                                                                                                                   and
                               sputtered    atoms     can  also   sputter    the   atoms     in  MoS  2. However, for the M/G heterostruc-
                              sputtered atoms can also sputter the atoms in MoS2 . However, for the M/G heterostructure,
                               ture, though
                              even    even though        the irradiated
                                                the irradiated     ions canions     canout
                                                                                knock       knock   out the
                                                                                               the atoms        atoms
                                                                                                            in the   MoS in layer
                                                                                                                             the MoS    2 layer more
                                                                                                                                     more   easily, the
                                                                                                                           2
                              residual energy of the irradiated ions and the sputtered Mo, S atoms may not bemay
                               easily,  the  residual     energy    of  the  irradiated      ions  and   the  sputtered      Mo,   S atoms     ablenotto
                               be  able  to damage      the   graphene,      generating       the embedded
                              damage the graphene, generating the embedded atoms in the interlayer space, as shownatoms    in the  interlayer   space,
                               as the
                              in   shown    in the
                                       inserted       inserted
                                                   figure         figure8.inThe
                                                            in Figure           Figure
                                                                                    easily 8. The   easily embedded
                                                                                               embedded       atoms alsoatoms lower also    lower the
                                                                                                                                      the efficiency
                               efficiency
                              for  nanopore forcreation
                                                  nanopore   in creation
                                                                the M/Ginheterostructure,
                                                                                 the M/G heterostructure,
                                                                                                     which means     which
                                                                                                                        that means
                                                                                                                               a higherthat   a higher
                                                                                                                                          irradiation
                               irradiation    energy    is required      for nanopore
                              energy is required for nanopore formation in the M/G case.    formation     in the   M/G    case.

                               Figure 8.8. Number
                              Figure       Number ofof the
                                                        the sputtered
                                                             sputtered atoms
                                                                        atomsofofthe
                                                                                  theM/G
                                                                                      M/G heterostructure
                                                                                           heterostructure under
                                                                                                           under ion
                                                                                                                   ion irradiation
                                                                                                                        irradiation with
                                                                                                                                    with
                               different  ion energies  and   ion doses. The inserted figure shows  the cross-section enlarged   view
                              different ion energies and ion doses. The inserted figure shows the cross-section enlarged view of the   of
                               the irradiated heterostructure.
                              irradiated heterostructure.

                               3.4. Mechanical
                              3.4.  Mechanical Properties
                                                  Properties of
                                                             of the
                                                                 the As-Obtained
                                                                     as-Obtained Heterostructure Nanopore
                                     In actual applications,
                                    In           applications,the thenanopore
                                                                       nanoporeis is
                                                                                   sometimes
                                                                                      sometimes working
                                                                                                   workingunder   loading
                                                                                                              under        conditions
                                                                                                                     loading   condi-
                               [9,47].[9,47].
                              tions     Thus,Thus,
                                               the mechanical     properties
                                                     the mechanical           of the of
                                                                        properties   fabricated  nanopore
                                                                                        the fabricated      shouldshould
                                                                                                        nanopore     be investigated.
                                                                                                                             be inves-
                               We conducted
                              tigated.            a uniaxiala stretching
                                          We conducted                    process for
                                                              uniaxial stretching       the original
                                                                                      process        and
                                                                                               for the    ion irradiated
                                                                                                       original  and ion G/M    heter-
                                                                                                                           irradiated
                               ostructures,
                              G/M              and the results
                                      heterostructures,   and theare results
                                                                     shown are
                                                                             in Figure
                                                                                 shown9,infor which9,the
                                                                                            Figure    forconfigurations   are colored
                                                                                                          which the configurations
                               according
                              are  coloredto    the per-atom
                                              according  to thestress  information
                                                                  per-atom            along the stretching
                                                                             stress information   along thedirection.
                                                                                                             stretchingItdirection.
                                                                                                                          is seen that
                                                                                                                                    It
                              is seen that for the original heterostructure, the stress value for all the atoms would rise
                              with the increase of tensile strain, and the structure would fracture at a random location
                              when the stress is large enough. For the case of a heterostructure with a nanopore, the
                              stress quickly concentrates around the nanopore structure under the stretching condition.
                              Increase of the concentrated stress leads to the fracture of the heterostructure around the
                              nanopore. Due to the stress concentration, the nanopore heterostructure gets fractured at a
                              much smaller strain when compared to the original heterostructure (ε = 0.152 vs. ε = 0.205).
                              For both cases, the fracture of structure starts from the top graphene layer, and the stress
                              value is quickly diminished with the expansion of the cracks.
FABRICATION OF NANOPORE IN MOS2-GRAPHENE VDW HETEROSTRUCTURE BY ION BEAM IRRADIATION AND THE MECHANICAL PERFORMANCE - MDPI
stress is large enough. For the case of a heterostructure with a nanopore, the stress quickly
                              concentrates
                               concentrates around
                                                 around the the nanopore
                                                                 nanopore structure
                                                                                 structure under
                                                                                               under thethe stretching
                                                                                                             stretching condition.
                                                                                                                             condition. Increase
                                                                                                                                             Increase of   of
                              the
                               the concentrated stress leads to the fracture of the heterostructure around the nanopore.
                                   concentrated      stress   leads   to   the   fracture    of  the  heterostructure       around      the   nanopore.
                              Due
                               Due toto the
                                         the stress
                                               stress concentration,
                                                        concentration, the   the nanopore
                                                                                   nanopore heterostructure
                                                                                                  heterostructure gets gets fractured
                                                                                                                                fractured at  at aa much
                                                                                                                                                     much
                              smaller
                               smaller strain when compared to the original heterostructure (ε = 0.152 vs. ε = 0.205). For
                                         strain  when     compared       to  the   original    heterostructure      (ε  = 0.152     vs. ε  = 0.205).    For
Nanomaterials 2022, 12, 196   both
                               bothcases,
                                     cases,thethefracture
                                                   fractureof ofstructure
                                                                 structurestartsstartsfrom
                                                                                         fromthethetop
                                                                                                     topgraphene
                                                                                                          graphenelayer,
                                                                                                                       layer,and andthethestress
                                                                                                                                            stress10value
                                                                                                                                                       of 15
                                                                                                                                                     value
                              is
                               is quickly
                                  quickly diminished
                                             diminished with with the
                                                                    the expansion
                                                                          expansion of    of the
                                                                                              the cracks.
                                                                                                   cracks.
                                    The
                                     The stress-strain relationships of the heterostructureswith
                                          stress-strain     relationships      of  the  heterostructures       withandandwithout
                                                                                                                             withoutnanopore
                                                                                                                                          nanoporeare   are
                              plotted
                               plotted  in
                                         in Figure
                                             Figure   10.
                                                      10.  This
                                                            This reveals
                                                                  reveals    aa multi-stage
                                                                                 multi-stage     fracture
                                                                                                  fracture  process
                                                                                                             process   for
                                                                                                                        for  both
                                                                                                                              both   the
                                                                                                                                      the original
                                                                                                                                           original   het-
                                                                                                                                                       het-
                                    The stress-strain relationships of the heterostructures with and without nanopore
                              erostructure
                               erostructure     and the
                                                      the heterostructure          with aa nanopore.       As
                                                                                                           As indicated        in
                                                                                                                                in Figure    9,
                                                                                                                                             9, the
                                                                                                                                                 the frac-
                              are  plotted inand Figure     heterostructure
                                                           10.  This reveals with            nanopore.
                                                                                    a multi-stage      fracture indicated
                                                                                                                  process for      Figure
                                                                                                                                    both the          frac-
                                                                                                                                                 original
                              ture  of the   structure
                               ture of the structure
                              heterostructure             starts
                                                    and thestarts from     the  top   graphene
                                                                   from the top graphene
                                                                heterostructure                     layer,  and
                                                                                                     layer, andAs
                                                                                        with a nanopore.          then
                                                                                                                   then  the    crack
                                                                                                                          the crack
                                                                                                                     indicated          would
                                                                                                                                          Figurestart
                                                                                                                                      inwould      start
                                                                                                                                                    9, theto
                                                                                                                                                           to
                              initiate
                              fracture  in
                               initiate in  the  bottom
                                         of the bottom
                                                  structure MoS
                                                             MoS  2 with the increase of tensile strain. Due to the existence of na-
                                                                   2 with
                                                               starts  from  the
                                                                               theincrease     of tensile
                                                                                     top graphene          strain.
                                                                                                        layer,  and Due
                                                                                                                     thento   thethe   existence
                                                                                                                                    crack   wouldofstartna-
                              nopore
                               nopore
                              to        structure,
                                         structure,
                                  initiate             the
                                                        the primary
                                            in the bottom    primary
                                                                MoS2 withtensile
                                                                          tensilethefracture
                                                                                     fracture
                                                                                       increase strain
                                                                                                 strain  and
                                                                                                         and stress
                                                                                                   of tensile  strain.at
                                                                                                               stress      the
                                                                                                                            the first
                                                                                                                        atDue     first
                                                                                                                                  to    fracture
                                                                                                                                      thefracture
                                                                                                                                           existence stage
                                                                                                                                                     stageof
                              are   much
                              nanopore      smaller
                               are muchstructure,
                                             smaller forfor  the
                                                          thethe  ion
                                                              primary   irradiated       heterostructure
                                                                            tensile fracture
                                                                   ion irradiated                             (0.149,
                                                                                                  strain and(0.149,
                                                                                          heterostructure       stress at47.2    GPa
                                                                                                                            theGPa
                                                                                                                         47.2           vs.
                                                                                                                                  first vs.  0.202,
                                                                                                                                         fracture     73.8
                                                                                                                                              0.202,stage
                                                                                                                                                       73.8
                              GPa).
                              are  much smaller for the ion irradiated heterostructure (0.149, 47.2 GPa vs. 0.202, 73.8 GPa).
                               GPa).

                              Figure
                               Figure 9.9. Snapshots
                                            Snapshotsof
                                           Snapshots     ofofthe
                                                               theG/M
                                                              the    G/M
                                                                   G/M   heterostructure
                                                                            heterostructure
                                                                         heterostructure   morphology
                                                                                                morphology
                                                                                            morphology       at
                                                                                                              at different tensile
                                                                                                                  at different
                                                                                                                 different          strains
                                                                                                                                tensile
                                                                                                                            tensile           during
                                                                                                                                          strains
                                                                                                                                     strains          uni-
                                                                                                                                                   during
                                                                                                                                              during   uni-
                              axial  stretching
                              uniaxial   stretching
                               axial stretching    process.
                                                      process.
                                                    process.   (a)  Pristine
                                                                (a)(a)        heterostructure.
                                                                       Pristineheterostructure.
                                                                     Pristine                     (b)
                                                                                heterostructure.(b)    Heterostructure
                                                                                                    (b)Heterostructure      nanopore
                                                                                                         Heterostructure nanopore        generated
                                                                                                                             nanopore generated       with
                                                                                                                                         generated with
                                                                                                                                                      with
                              an
                               an irradiation
                              an   irradiationparameter
                                  irradiation    parameter pair pairof of200
                                                                          200eV,
                                                                              eV, 1.27
                                                                                   1.27×××10
                                                                                            16 /cm2. The
                                                                                           101616
                                                                                          10      /cm
                                                                                                /cm         structures
                                                                                                       2 . The
                                                                                                    2. The               are
                                                                                                                 structures
                                                                                                             structures       colored
                                                                                                                          areare colored
                                                                                                                              colored   according   to
                                                                                                                                            according
                                                                                                                                        according    to the
                                                                                                                                                          to
                                                                                                                                                         the
                              per-atom
                               per-atom    stress
                                            stress information
                                                    information      along
                                                                     along  the horizontal
                                                                             the the
                                                                                 horizontal   direction,
                                                                                               direction,  and    the
                                                                                                            and and   value
                                                                                                                   the value has  a unit
                                                                                                                              has has
                                                                                                                                  a unit   of stress/(per-
                                                                                                                                           of stress/(per-
                              the  per-atom     stress  information       along       horizontal   direction,          the value        a unit  of stress/
                              atom
                               atom volume).
                                      volume).
                              (per-atom     volume).

                                                                                                      ..

                                     10. Stress-strain relationship
                              Figure 10.
                              Figure                   relationship of the G/Mheterostructure
                                                                                 heterostructure with
                                                                                                    with and
                                                                                                          and without
                                                                                                              without the ion
                                                                                                                          ion irradiation
                              Figure 10.Stress-strain
                                         Stress-strain relationshipof
                                                                    ofthe
                                                                        theG/M
                                                                            G/M heterostructure
                                                                                            16 /cm  2with and withoutthe
                                                                                                                      the ionirradiation
                                                                                                                              irradiation
                              process.
                              process. The irradiation  parameters  are  200 eV, 1.27  × 10           .
                              process. The
                                       Theirradiation
                                            irradiation parameters
                                                         parameters are
                                                                     are 200
                                                                          200eV,
                                                                              eV, 1.27
                                                                                  1.27×× 10
                                                                                         1016 /cm
                                                                                               /cm2..
                                                                                           16     2

                                   Figure 11 depicts the influence of the as-fabricated nanopore size on the mechanical
                              performance of the heterostructure. The ions have an irradiation parameter pair of 200 eV,
                              1.27 × 1016 /cm2 . Figure 11 shows that both the primary fracture stress and fracture strain
                              would reduce almost linearly with the increase of nanopore size. This is because the larger
                              size nanopore would result in a higher stress concentration factor for 2D materials [48].
                              The inserted figures show the stress distribution of the structure just before the fracture
                              happens. They clearly indicate that for the nanopore structure with a smaller size, a larger
                              overall stress value is required to initiate the fracture, indicating a larger strain needed at
                              the fracture point.
performance of the heterostructure. The ions have an irradiation parameter pair of 200 eV,
                              1.27
                               1.27 ×× 10
                                        1016 /cm
                                           16
                                               /cm2.. Figure
                                                   2
                                                      Figure 11 11 shows
                                                                    shows that that both
                                                                                      both the
                                                                                             the primary
                                                                                                   primary fracture
                                                                                                               fracture stress
                                                                                                                             stress and
                                                                                                                                      and fracture
                                                                                                                                             fracture strain
                                                                                                                                                          strain
                              would      reduce    almost    linearly    with    the  increase     of nanopore       size.
                               would reduce almost linearly with the increase of nanopore size. This is because the larger  This    is because     the   larger
                              size
                               size nanopore
                                      nanopore would would result
                                                               result inin aa higher
                                                                               higher stress
                                                                                          stress concentration
                                                                                                   concentration factor factor forfor 2D
                                                                                                                                       2D materials
                                                                                                                                             materials [48].[48].
                              The
                               The inserted figures show the stress distribution of the structure just before the
                                     inserted     figures   show     the   stress    distribution     of  the   structure      just   before     the fracture
                                                                                                                                                      fracture
Nanomaterials 2022, 12, 196   happens.
                               happens. They They clearly
                                                     clearly indicate
                                                               indicate thatthat for
                                                                                   for the
                                                                                       the nanopore
                                                                                            nanopore structure
                                                                                                           structure withwith aa smaller
                                                                                                                                    smaller size,
                                                                                                                                                size, aa larger
                                                                                                                                                         11 of 15
                                                                                                                                                          larger
                              overall
                               overall stress value is required to initiate the fracture, indicating a larger strain needed at
                                          stress  value   is  required      to initiate    the  fracture,    indicating      a  larger    strain   needed      at
                              the
                               the fracture
                                    fracture point.
                                                 point.
                                      Figure
                                      Figure 12 12 shows
                                                     shows thethe influence
                                                                   influence of    of ion
                                                                                      ion energy
                                                                                            energy andand dose
                                                                                                             dose on on the
                                                                                                                          the mechanical
                                                                                                                          the   mechanical strength
                                                                                                                               mechanical         strength of  of
                              the  M/G
                              the M/G       heterostructure.
                                             heterostructure. Both
                                    M/G heterostructure.          Both     the
                                                                    Both the     increase
                                                                            the increase
                                                                                  increase ofof  ion
                                                                                                  ion energy and ion dose would result in
                                                                                              of ion  energy     and    ion   dose    would      result    in an
                                                                                                                                                              an
                              overall
                              overall slight
                                          slight reduction
                                                   reduction of  of the
                                                                     the primary
                                                                            primary fracture
                                                                           primary      fracture strength
                                                                                                     strength of
                                                                                                    strength     of   the
                                                                                                                 of the    irradiated
                                                                                                                      the irradiated        structure.
                                                                                                                                             structure. This
                                                                                                                            irradiated structure.           This
                              indicates
                              indicates     that
                                            that   even
                                                   even  though
                                                         though      the
                                                                    the    low
                                                                          low     ion
                                                                                 ion    energy
                                                                                      energy       and
                                                                                                 and     ion
                                                                                                       ion    dose
                                                                                                            dose   only
                               indicates that even though the low ion energy and ion dose only result in irregular dam-only   result
                                                                                                                           result    in in  irregular
                                                                                                                                         irregular         dam-
                                                                                                                                                      damage
                              age
                              in    in
                               agethe   the
                                         the structure,
                                     instructure,          the
                                                           the reduction
                                                      the reduction
                                              structure,                        in
                                                                                 in mechanical
                                                                         in mechanical
                                                                 reduction          mechanical      strength
                                                                                               strength          is
                                                                                                                  is similar
                                                                                                           is similar
                                                                                                     strength            to that
                                                                                                                     similar     to that
                                                                                                                                 toof   theof
                                                                                                                                     that      the
                                                                                                                                               the structure
                                                                                                                                           ofstructure      with
                                                                                                                                                    structure
                              with
                              awith   aa nanopore.
                                 nanopore.             Therefore,
                                                 Therefore,     the    the   influence
                                                                     influence       of     of  structural
                                                                                         structural     damagedamageon     on
                                                                                                                         the
                                          nanopore. Therefore, the influence of structural damage on the mechanical behav-      the   mechanical
                                                                                                                              mechanical               behav-
                                                                                                                                                 behavior      of
                              ior
                              2D   of  2D   heterostructures
                               ior heterostructures
                                   of 2D heterostructures           needs
                                                           needs needs        more
                                                                    more attention.    attention.
                                                                              more attention.

                              Figure
                              Figure 11.11.Influence
                                        11.   Influence
                                            Influence   of
                                                         of the
                                                            of    G/M
                                                             thethe
                                                                  G/M   heterostructure
                                                                       G/M    heterostructure
                                                                        heterostructure      nanopore    size
                                                                                                          size on
                                                                                                    nanopore
                                                                                              nanopore            the
                                                                                                                size
                                                                                                               on  theonmechanical  properties.
                                                                                                                          the mechanical
                                                                                                                        mechanical              (a)
                                                                                                                                                 (a) Pri-
                                                                                                                                            properties.
                                                                                                                                    properties.      Pri-
                              mary
                              mary   fracture
                                      fracture   stress,
                                                 stress, and
                                                          and   (b)
                                                                 (b) primary
                                                                     primary    fracture
                                                                                 fracture  strain.
                                                                                            strain.  The
                                                                                                     The inserted
                                                                                                          inserted  figures
                                                                                                                     figures show
                                                                                                                             show the
                                                                                                                                   the per-atom
                                                                                                                                       per-atom   stress
                                                                                                                                                  stress
                              (a) Primary fracture stress, and (b) primary fracture strain. The inserted figures show the per-atom
                              distribution
                              distribution    just
                                               just before
                                                    before   the
                                                              the fracture
                                                                   fracture  of
                                                                             of the  first
                                                                                  theof
                                                                                      first stage.
                              stress  distribution    just before     the fracture       thestage.
                                                                                              first stage.

                              Figure  12.
                              Figure 12.   Influence
                                            Influenceofof
                                      12.Influence     of the (a)    irradiation    energy     and     (b)   ion    dose    on
                                                                                                                             on the
                                                                                                                                 the primary      mechanical
                              Figure                    thethe
                                                             (a) (a)  irradiation
                                                                  irradiation       energy
                                                                               energy          andion
                                                                                         and (b)        (b)dose
                                                                                                              ionon  dose
                                                                                                                       the2 primary   primary
                                                                                                                                        mechanicalmechanical
                                                                                                                                                      strength
                              strength
                              strength of
                                        of G/M
                                           G/M   heterostructure.
                                                 heterostructure.     The
                                                                       The ion
                                                                            ion dose
                                                                                dose   for
                                                                                        for (a)
                                                                                             (a) is
                                                                                                  is 1.27
                                                                                                     1.27   ×
                                                                                                            ×  10
                                                                                                               10
                                                                                                                  16 /cm
                                                                                                                   16 /cm  2 and
                                                                                                                             and  the
                                                                                                                                   the ion
                                                                                                                                        ion energy
                                                                                                                                            energy   for  (b)
                                                                                                                                                      for200   is
                                                                                                                                                           (b)eV,
                                                                                                                                                                is
                              of G/M   heterostructure.   The   ion   dose  for (a) is 1.27   ×   10  16 /cm    2  and   the  ion   energy   for (b) is
                              200 eV, respectively.
                              200 eV, respectively.
                              respectively.

                                   Figure 13 shows the dynamics of structural evolution of the M/G heterostructure
                              nanopore under ion irradiation with different irradiation parameters. It is seen that under
                              the parameter pair of 80 eV, 3.18 × 1015 /cm2 , there is nanopore formation only in the top
                              MoS2 layer, while the bottom graphene layer is undamaged, resulting in the initiation of
                              the crack in MoS2 layer, different from the case in Figure 9. In contrast, if we use the ion
                              parameter pair of 400 eV, 1.27 × 1016 /cm2 , a good-quality nanopore is formed in both the
                              MoS2 and graphene layers, because of which the initiation of the crack happens in graphene
                              layer again, similar to the case of G/M heterostructure. The phenomenon demonstrates
Figure 13 shows the dynamics of structural evolution of the M/G heterostructure na-
                                nopore under ion irradiation with different irradiation parameters. It is seen that under
                                the parameter pair of 80 eV, 3.18 × 1015 /cm2, there is nanopore formation only in the top
                                MoS2 layer, while the bottom graphene layer is undamaged, resulting in the initiation of
Nanomaterials 2022, 12, 196     the crack in MoS2 layer, different from the case in Figure 9. In contrast, if we use the 12                     ionof 15
                                parameter pair of 400 eV, 1.27 × 1016 /cm2, a good-quality nanopore is formed in both the
                                MoS2 and graphene layers, because of which the initiation of the crack happens in gra-
                                phene layer again, similar to the case of G/M heterostructure. The phenomenon demon-
                              that  the damage
                                strates              sequencesequence
                                         that the damage            of the heterostructure       nanopore
                                                                              of the heterostructure           can be controlled
                                                                                                           nanopore                      by adjusting
                                                                                                                         can be controlled       by
                              the  irradiation     parameters.
                                adjusting the irradiation parameters.
                                     Figure
                                      Figure14  14plots
                                                    plotsthethestress-strain
                                                                  stress-strain relationship
                                                                                  relationship of  of the
                                                                                                      the G/M
                                                                                                           G/Mand   andM/GM/G     heterostructures
                                                                                                                               heterostructures
                              with   the  nanopore       structure      created   by  ion  irradiation     with  the
                                with the nanopore structure created by ion irradiation with the same parameter pair.    same    parameter      pair.
                                                                                                                                                  It It
                              shows    that   under     the   irradiation     with   a parameter       pair  of 80   eV,  3.18   ×   10  15 /cm2 , the
                                shows that under the irradiation with a parameter pair of 80 eV, 3.18 × 10 /cm , the MoS2      15      2

                              MoS   2 layer
                                layer   in thein the
                                                  M/GM/G        heterostructure
                                                          heterostructure            is severely
                                                                                is severely         damaged,
                                                                                               damaged,           generating
                                                                                                              generating     a mucha much     reduced
                                                                                                                                           reduced
                              strength
                                strengthvalue
                                            valueforfor the
                                                         the first
                                                               first fracture   stage.However,
                                                                     fracture stage.     However,the   thegraphene
                                                                                                            graphene       layer
                                                                                                                        layer      is well
                                                                                                                               is well       retained,
                                                                                                                                          retained,
                              leading
                                leadingto to an   increasedfracture
                                             an increased         fracture    strength
                                                                           strength   for for
                                                                                          the the   second
                                                                                               second          fracture
                                                                                                         fracture   stage. stage.
                                                                                                                            For the ForG/Mthe    G/M
                                                                                                                                             heter-
                              heterostructure,
                                ostructure, therethereis veryis very
                                                                 limitedlimited
                                                                           damage damage
                                                                                     on the on    the heterostructure
                                                                                              heterostructure      due to thedue   to the shielding
                                                                                                                                 shielding    effect
                              effect
                                of theofgraphene
                                         the graphene        structure.
                                                      structure.     Thus,Thus,
                                                                            a much a much
                                                                                       higherhigher
                                                                                                fracturefracture
                                                                                                           strengthstrength    is observed.
                                                                                                                       is observed.      When theWhen
                              the  structure
                                structure       is irradiated
                                            is irradiated    with with   a parameter
                                                                     a parameter    pairpair   of eV,
                                                                                          of 400   400 1.27
                                                                                                        eV, 1.27      1016
                                                                                                             × 1016×/cm     /cm2G/M
                                                                                                                         2, both    , both  G/M
                                                                                                                                          and  M/Gand
                              M/G     heterostructures
                                heterostructures       showshow       similar
                                                                similar         mechanical
                                                                          mechanical           properties
                                                                                          properties         because
                                                                                                         because         of the
                                                                                                                    of the        similar
                                                                                                                             similar        structural
                                                                                                                                         structural
                              damage
                                damageinduced
                                           inducedby   bythe
                                                           the ion
                                                                 ion irradiation.
                                                                      irradiation.

                              Figure   13.Dynamics
                                Figure13.  Dynamicsof ofstructural
                                                         structural evolution of
                                                                               of the
                                                                                  the M/G
                                                                                      M/Gheterostructure
                                                                                              heterostructurenanopore
                                                                                                               nanopore   under
                                                                                                                        under  ionion  irradia-
                                                                                                                                    irradi-
                                ation
                              tion    with
                                   with    irradiation
                                        irradiation    parametersofof(a)
                                                     parameters       (a)80
                                                                          80eV,
                                                                             eV,3.18
                                                                                 3.18×  101515/cm
                                                                                      × 10     /cm 2 and
                                                                                                 2 and (b)(b)
                                                                                                           400400
                                                                                                               eV,eV,
                                                                                                                   1.27 × 10
                                                                                                                      1.27    /cm
                                                                                                                           ×1610 162/cm
                                                                                                                                    .    2.
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