Magnesium Leachability of Mg-Silicate Peridotites: The Effect on Magnesite Yield of a Mineral Carbonation Process - MDPI

Page created by Christian Howell
 
CONTINUE READING
Magnesium Leachability of Mg-Silicate Peridotites: The Effect on Magnesite Yield of a Mineral Carbonation Process - MDPI
minerals
Article
Magnesium Leachability of Mg-Silicate Peridotites:
The Effect on Magnesite Yield of a Mineral
Carbonation Process
Muhammad Imran Rashid *, Emad Benhelal, Faezeh Farhang, Michael Stockenhuber and
Eric M. Kennedy
 Department of Chemical Engineering, University of Newcastle, Callaghan, NSW 2308, Australia;
 emad.benhelal@newcastle.edu.au (E.B.); faezeh.farhang@newcastle.edu.au (F.F.);
 michael.stockenhuber@newcastle.edu.au (M.S.); eric.kennedy@newcastle.edu.au (E.M.K.)
 * Correspondence: muhammadimran.rashid@uon.edu.au
                                                                                                  
 Received: 15 November 2020; Accepted: 3 December 2020; Published: 5 December 2020                

 Abstract: The aim of this study was to increase feedstock availability for mineral carbonation.
 Acid dissolution and carbonic acid dissolution approaches were used to achieve higher Mg extractions
 from peridotites. Acid dissolution studies of raw dunite, heat-activated dunite, heat-transformed
 dunite, and twin sister dunite have not been reported in the literature. Heat-activated dunite is more
 reactive as compared to heat-transformed dunite, raw dunite, and twin sister dunite. The fraction of
 magnesium extracted from heat-activated dunite was 57% as compared to 18% from heat-transformed
 dunite, 14% from raw dunite, and 11% from twin sister dunite. Similarly, silicon and iron extractions
 were higher for heat-activated dunite compared to that of heat-transformed dunite, raw dunite,
 and twin sister dunite. Materials rich in forsterite (twin sister dunite and heat-transformed dunite)
 showed preferential Mg release and exhibited incongruent dissolution similar to that of forsterite.
 Heat-activated dunite (amorphous magnesium silicate rich) on the other hand behaved differently
 and showed congruent dissolution. Olivine did not dissolve under carbonic acid dissolution
 (with concurrent grinding) and acidic conditions. Under carbonic acid dissolution with concurrent
 grinding conditions, olivine was partially converted into nanometer sized particles (d10 = 0.08 µm)
 but still provided 16% Mg extraction during 4 h of dissolution.

 Keywords: acid dissolution; dunite rock; olivine; carbonic acid dissolution; peridotites

1. Introduction
     The CO2 concentration in the atmosphere has risen to 411 ppm as compared to 280 ppm in pre-industrial
times [1]. Accumulation of CO2 in the atmosphere is considered the main cause of climate change and
the global warming phenomenon. Warming of 2 ◦ C would release billions of tons of soil carbon [2].
Geological storage, oceanic storage, and recently mineral carbonation, are among different candidates for
CO2 sequestration to prevent its emissions to the atmosphere [3,4]. Mineral carbonation, mainly using
naturally abundant Mg-silicates, can offer safe storage of CO2 in the form of mineral carbonates for many
centuries [5,6].
     Single stage [4,6–12] and two-stage carbonation [13–19] are different processes that are being
extensively studied for CO2 capture, utilization, and storage. Initial studies on mineral carbonation
showed relatively slow reaction kinetics [20]. One of the key considerations for developing efficient
mineral carbonation technology is to increase Mg extraction from feedstock. For this purpose,
acid dissolution of magnesium silicate minerals was studied previously [15,21–24]. Park et al. used
different acid solutions and grinding media to increase Mg extraction [25,26]. Sulfuric acid, formic acid,

Minerals 2020, 10, 1091; doi:10.3390/min10121091                             www.mdpi.com/journal/minerals
Magnesium Leachability of Mg-Silicate Peridotites: The Effect on Magnesite Yield of a Mineral Carbonation Process - MDPI
Minerals 2020, 10, 1091                                                                              2 of 16

acetic acid, hydrochloric acid, and nitric acid were used to extract Mg from serpentine [27–29].
Farhang et al. studied acid dissolution of heat-activated lizardite at different pH values, solid-to-liquid
ratios, and particle sizes and obtained almost 60% Mg extractions during 1 h of dissolution [22].
Farhang et al. investigated silica precipitation at different pH values and temperatures and determined
that re-precipitation of silica retards dissolution of Mg by forming a diffusion barrier [30]. Dunite is
partially weathered olivine that is the most abundant ultramafic rock available [31,32], which makes it
important for the mineral carbonation process and needs significant consideration. Compared to other
magnesium silicate minerals that have been studied for mineral carbonation, dunite is more complex as
it is usually a mixture of minerals. One example that has previously been studied contains 61%–62%
lizardite, 30%–33% olivine, 3.8%–8.3% brucite, and 0.6% magnetite [4]. Heat activation can be used to
convert the lizardite present in dunite into more reactive amorphous Mg-silicate phases. Heat activation
is a process in which dehydroxylation of serpentine minerals occurs as hydroxyl groups bound within
mineral matrix are destabilized and released from the sample in the form of water vapor. The optimum
decomposition temperature for lizardite has been reported as 635 ◦ C [33]. Lizardite dehydroxylation
converts the material into MgO. SiO2 motifs, Equation (1), can further crystallize at higher temperatures
(or excessive soak times exceeding 4 h) to form forsterite (Mg2 SiO4 ), Equation (2), enstatite (MgSiO3 ),
Equation (3), and silica (SiO2 ) [34]. The formation of intermediate phases, which tend to be X-ray
amorphous, increases the reactivity of the parent mineral [35], while the formation of new crystalline
phases, such as forsterite, is detrimental to the reactivity of the material.

                              Mg3 Si2 O5 (OH)4 → 3MgO.2SiO2 + 2H2 O                                     (1)

                                        2MgO.SiO2 → Mg2 SiO4                                            (2)

                                         MgO.SiO2 → MgSiO3                                              (3)

      Dunite is comprised of approximately 61% lizardite, which can be converted into a more reactive
amorphous phase through the heat-activation treatment process. A temperature of 650 ◦ C is sufficient
for lizardite to complete dehydroxylation [36]. In our previous publication, we established that
heat-activated dunite provided higher magnesite yields compared to that of heat-transformed dunite
(forsterite rich) and raw dunite [4]. The aim of this work was to confirm these magnesite yield results
through a second approach, i.e., Mg extraction using acid dissolution experiments. Materials that
provided a higher carbonation extent also showed higher Mg extractions, indicating a direct relationship
between carbonation extent and Mg extractions. Acid dissolution studies of dunite rock, heat-activated
dunite, and heat-transformed dunite have not yet been reported in the literature. The purpose of this
article was to study acid dissolution of dunite rock at room temperature and to investigate if dunite
can be considered as a potential feedstock for mineral carbonation. Furthermore, dissolution of olivine
as a relatively pure peridotite mineral in carbonic acid solution with the aid of concurrent grinding
was studied in this work, which has not been studied previously in the literature.

2. Material, Methods, and Experimental Set-Up

2.1. Dunite
     The dunite used in this study was sourced from a dunite quarry, located close to the township of
Bingara (within 5 km), located in The Great Serpentine Belt (GSB) of New South Wales (NSW), Australia.
Samples of rock were handpicked (a total mass of approximately 15 kg) from the center and north walls
of the quarry and then crushed to 2 to 10 cm in diameter. The dunite was tested by stereomicroscopy
and polarized light microscopy (with dispersion staining) to check for the presence of chrysotile,
amosite, and crocidolite asbestos and was only used if it was certified to be asbestos free (Pickford
& Rhyder Consulting Pty Ltd., New South Wales, Australia). Approximately 2 kg of the dunite was
dry crushed in a jaw crusher (200 × 125 mm model, Terex Jaques) to obtain a 2–3 mm size fractions.
A portion of this material was transferred to a ball mill (MTI Corporation, CA, USA) to prepare sub-75
Magnesium Leachability of Mg-Silicate Peridotites: The Effect on Magnesite Yield of a Mineral Carbonation Process - MDPI
Minerals 2020,10,
Minerals2020,  10,1091
                   x FOR PEER REVIEW                                                                                    33 of
                                                                                                                           of 16
                                                                                                                              16
Minerals 2020, 10, x FOR PEER REVIEW                                                                                    3 of 16

 to prepare sub-75 micron size fractions. Grinding was performed in a stainless-steel jar for 2 h, where
 to prepare
micron  size sub-75  micron
             fractions.      size fractions.
                         Grinding             Grinding
                                   was performed    in awas performedjar
                                                        stainless-steel in for
                                                                            a stainless-steel jar for 2steel
                                                                                2 h, where stainless     h, where
                                                                                                             balls
 stainless steel balls (diameter, 6 to 20 mm) were used as the grinding media.
 stainless steel
(diameter,  6 to balls
                 20 mm)(diameter, 6 toas20the
                          were used         mm)  were used
                                              grinding      as the grinding media.
                                                       media.
 2.2. Heat-Activated Dunite
2.2.
 2.2. Heat-Activated
      Heat-Activated Dunite
                       Dunite
       Heat activation of dunite (approximately 150 g) was performed in an electrically heated
      Heat
       Heatactivation
              activationof dunite  (approximately
                           of dunite                 150 g) was
                                        (approximately       150 performed     in an electrically
                                                                   g) was performed        in anheated    stainless-steel
                                                                                                    electrically  heated
 stainless-steel rotary kiln (Nabertherm, Lilienthal, Germany)  ◦ C underat    630 °C under a nitrogen purge flow
rotary  kiln (Nabertherm,      Lilienthal, Germany)     at 630              a  nitrogen  purge   flow
 stainless-steel rotary kiln (Nabertherm, Lilienthal, Germany) at 630 °C under a nitrogen purge flow   (80  L/h) for 4 h.
 (80 L/h) for 4 h. A ◦temperature of 650 °C is sufficient for lizardite's complete dehydroxylation [36]
A(80
   temperature
      L/h) for 4ofh.650  C is sufficientof
                     A temperature      for650
                                            lizardite’s complete dehydroxylation
                                                °C is sufficient                      [36] and above
                                                                    for lizardite's complete           this temperature
                                                                                                 dehydroxylation     [36]
 and above this temperature enstatite formation starts [33]. The rotary kiln is shown in Figure 1, and
enstatite
 and aboveformation    starts [33].enstatite
              this temperature      The rotary   kiln is shown
                                              formation    startsin  Figure
                                                                  [33].  The1,rotary
                                                                                and akiln
                                                                                       schematic   of the
                                                                                            is shown      rotary kiln
                                                                                                       in Figure       is
                                                                                                                  1, and
 a schematic of the rotary kiln is shown in Figure 2.
shown   in Figure
 a schematic        2. rotary kiln is shown in Figure 2.
               of the

      Figure 1. Photo of the rotary kiln (Nabertherm, Lilienthal, Germany). (A): Control panel, (B): Mass
      Figure1.1.Photo
     Figure      Photoofofthe  rotary
                             the  rotarykiln (Nabertherm,
                                           kiln (Nabertherm,Lilienthal, Germany).
                                                                Lilienthal,         (A): (A):
                                                                             Germany).   Control   panel,
                                                                                              Control      (B): Mass
                                                                                                         panel,      flow
                                                                                                                (B): Mass
      flow controllers, (C): Stainless steel tube, (D): Heating element, (E): Material collection jar, (F):
     controllers,  (C): Stainless  steel tube,  (D): Heating  element,  (E): Material collection jar, (F):
      flow controllers, (C): Stainless steel tube, (D): Heating element, (E): Material collection jar, (F):Thermocouple
      Thermocouple connection, (G): Nitrogen cylinder. Th rotary kiln was used for the heat-activation of
     connection,
      Thermocouple  (G):connection,
                          Nitrogen cylinder.      Th rotary
                                       (G): Nitrogen          kilnTh
                                                        cylinder.  was   usedkiln
                                                                      rotary   for was
                                                                                   the heat-activation     of dunite and
                                                                                        used for the heat-activation    of
      dunite and lizardite. It was also used for the dunite heat-transformation.
     lizardite.
      dunite andIt was   also used
                    lizardite. It wasforalso
                                         the used
                                              dunite
                                                   forheat-transformation.
                                                       the dunite heat-transformation.

               Figure 2. Simplified
               Figure 2. Simplified process
                                    process schematic
                                            schematic of
                                                      of the
                                                          the rotary
                                                              rotary kiln
                                                                     kiln and
                                                                          and gas
                                                                              gascontrol
                                                                                  controlmanifold.
                                                                                         manifold.
               Figure 2. Simplified process schematic of the rotary kiln and gas control manifold.
2.3. Heat-Transformed Dunite
 2.3. Heat-Transformed Dunite
 2.3. Heat-Transformed    Dunite
      To study the reactivity  of synthesized forsterite and compare it with natural forsterite (i.e., olivine),
      To study the reactivity of synthesized forsterite and compare it with natural forsterite (i.e.,            ◦C
duniteTowas   heat-transformed
           study   the reactivitytoofforsterite in a rotary
                                       synthesized          kiln and
                                                      forsterite  (Nabertherm,
                                                                       compare Lilienthal,    Germany)
                                                                                  it with natural         at 800(i.e.,
                                                                                                     forsterite
 olivine), dunite was heat-transformed to forsterite in a rotary kiln (Nabertherm, Lilienthal, Germany)     ◦
for 3 h. Lizardite
 olivine),          dehydroxylation
           dunite was                  may result
                        heat-transformed            in non-reactive
                                             to forsterite           enstatite
                                                           in a rotary         formation atLilienthal,
                                                                        kiln (Nabertherm,    or above 800     C [33].
                                                                                                         Germany)
 at 800 °C for 3 h. Lizardite dehydroxylation may result in non-reactive enstatite formation at or above
Heat
 at 800transformation    was used
         °C for 3 h. Lizardite      to convert themay
                               dehydroxylation       lizardite
                                                         resultpresent   in duniteenstatite
                                                                 in non-reactive    into forsterite to compare
                                                                                            formation             its
                                                                                                        at or above
 800 °C [33]. Heat transformation was used to convert the lizardite present in dunite into forsterite to
 800 °C [33]. Heat transformation was used to convert the lizardite present in dunite into forsterite to
 compare its reactivity with other forms of feedstock via dissolution in mild acidic pH. Heat
 compare its reactivity with other forms of feedstock via dissolution in mild acidic pH. Heat
Magnesium Leachability of Mg-Silicate Peridotites: The Effect on Magnesite Yield of a Mineral Carbonation Process - MDPI
Minerals 2020, 10, 1091                                                                               4 of 16

reactivity with other forms of feedstock via dissolution in mild acidic pH. Heat transformation is a process
in which serpentine minerals (here the lizardite fraction in dunite rock) are deliberately transformed
into forsterite at high temperatures (in excess of 780 ◦ C). During the dunite heat transformation process,
lizardite and brucite transform into forsterite and magnesium oxide, respectively, Equations (4) and (5).

                              2Mg3 Si2 O5 (OH)4 → 3Mg2 SiO4 + SiO2 + 4H2 O                               (4)

                                         Mg(OH)2 → MgO + H2 O                                            (5)

     We adopted the term “heat-transformed” to clearly distinguish this process from “heat-treatment”
that involves heating minerals to a specific temperature and for a specific duration to produce an
amorphous phase. The maximum forsterite yield was calculated based on decomposition of lizardite
and brucite, which is represented in Equations (6) and (7).

                          2Mg3 Si2 O5 (OH)4 (s)   3Mg2 SiO4 (s)+SiO2 (s)+4H2 O (g)                       (6)

                                     Mg(OH)2 (s)     MgO (s)+H2 O (g)                                    (7)

2.4. Twin Sister Dunite
    This reference material was collected from a quarry located in the Twin Sisters Range, approximately
20 miles east of Bellingham, Washington, DC, USA. This dunite had more than 90% forsterite with
minor chromite and trace amounts of lizardite. It had 29.8 wt/wt% Mg and 18.4 wt/wt% Si.

2.5. Olivine
     Two olivine samples were imported from Sibelco (Norway), originating from the Aheim plant.
Crushed olivine was ground in a ball mill (MTI Corporation, CA, USA) for 1 h and sub-20 micron size
fractions were prepared. Twin sister dunite (>90% forsterite) and olivine were considered standard
materials and were used to compare results with the Australian dunite.

2.6. Methods and Experimental Set-Up

2.6.1. Reactivity Test Via Acid Dissolution
      An acid dissolution experiment previously developed in our research group [22] was used to
determine Mg extraction from different minerals and rocks. The process involved drying solid sample
at 100 ◦ C for two days to remove absorbed moisture. Once dried, 1 g of the dried sample was added to
200 mL buffered acid solution (1 M acetic acid, 1 M sodium acetate, constant pH = 4.7) and stirred by a
magnetic stirrer (Figure 3). Samples of the supernatant solution were taken using a 1 mL syringe at
different time intervals. Samples were filtered immediately using a 0.22 µL syringe filter, diluted by 2%
nitric acid, and analyzed by ICP-OES.

2.6.2. Carbonic Acid Dissolution
     To perform dissolution experiments, the grinding media, distilled water, and mineral (olivine)
were added (2% loading) to a liner, the liner was placed inside the reactor (Parr Instrument Company,
IL, USA), and reactor was assembled. The back pressure regulator (BPR) was set at 3 bar and cooling
water was turned on. The stirrer then commenced at 600 rpm and the reactor was heated to 45 ◦ C.
When the temperature stabilized at 45 ◦ C, the CO2 cylinder was opened, the CO2 pressure regulator
was set at 3 bar, and the reactor inlet valve opened to feed CO2 into the reactor. Dissolution was
performed for 4 h, and the slurry was sampled from the reactor using a sampler (Figure 4). The slurry
was then filtered, and the supernatant was diluted with 2% nitric acid to prevent precipitation of
magnesium carbonate phases.
Minerals 2020, 10, 1091                                                                                               5 of 16
Minerals 2020, 10, x FOR PEER REVIEW                                                                                  5 of 16

      Figure 3. Schematic of the dissolution set-up [22] used to determine relative reactivity of raw, heat-
      activated, and heat-transformed dunite.

2.6.2. Carbonic Acid Dissolution
     To perform dissolution experiments, the grinding media, distilled water, and mineral (olivine)
were added (2% loading) to a liner, the liner was placed inside the reactor (Parr Instrument Company,
IL, USA), and reactor was assembled. The back pressure regulator (BPR) was set at 3 bar and cooling
water was turned on. The stirrer then commenced at 600 rpm and the reactor was heated to 45 °C.
When the temperature stabilized at 45 °C, the CO2 cylinder was opened, the CO2 pressure regulator
was set at 3 bar, and the reactor inlet valve opened to feed CO2 into the reactor. Dissolution was
performed
     Figure   for
      Figure 3.   4 h, and the
              3. Schematic
                  Schematic      slurry
                            ofofthe      was sampled
                                  thedissolution set-up
                                       dissolution        from
                                                         [22]
                                                    set-up      the
                                                              used
                                                            [22]     reactor
                                                                    to
                                                                 used        using
                                                                       determine   a sampler
                                                                                 relative
                                                                        to determine           (Figure
                                                                                          reactivity
                                                                                      relative           4).ofThe
                                                                                                     of raw,
                                                                                               reactivity      raw,slurry
                                                                                                               heat-
was heat-activated,
     then   filtered,
      activated,       andheat-transformed
                  and and   the supernatant
                      heat-transformed           was diluted with 2% nitric acid to prevent precipitation of
                                           dunite.
                                               dunite.
magnesium carbonate phases.
2.6.2. Carbonic Acid Dissolution
     To perform dissolution experiments, the grinding media, distilled water, and mineral (olivine)
were added (2% loading) to a liner, the liner was placed inside the reactor (Parr Instrument Company,
IL, USA), and reactor was assembled. The back pressure regulator (BPR) was set at 3 bar and cooling
water was turned on. The stirrer then commenced at 600 rpm and the reactor was heated to 45 °C.
When the temperature stabilized at 45 °C, the CO2 cylinder was opened, the CO2 pressure regulator
was set at 3 bar, and the reactor inlet valve opened to feed CO2 into the reactor. Dissolution was
performed for 4 h, and the slurry was sampled from the reactor using a sampler (Figure 4). The slurry
was then filtered, and the supernatant was diluted with 2% nitric acid to prevent precipitation of
magnesium carbonate phases.

       Figure4.4. Photo
      Figure      Photo of
                         ofthe
                            thecarbonic
                                carbonicacid
                                          aciddissolution
                                              dissolutionexperimental
                                                            experimental set-up
                                                                              set-up closed
                                                                                      closed (back
                                                                                              (back pressure
                                                                                                     pressureregulator
                                                                                                               regulator
       (BPR))system,
      (BPR))  system,(A):
                        (A):  Carbon
                           Carbon     dioxide
                                   dioxide  gasgas  cylinder,
                                                cylinder, (B): (B): Sampler
                                                               Sampler          to sample
                                                                          to sample   slurry,slurry, (C):pressure
                                                                                              (C): Low    Low pressure
                                                                                                                  gauge,
       gauge,
      (D):     (D): vessel,
           Reactor  Reactor(E):
                              vessel,
                                 Back (E): Back regulator,
                                       pressure  pressure regulator,
                                                            (F): Electric(F):  Electric
                                                                           heater       heater for
                                                                                   for heating   the heating  the slurry
                                                                                                      slurry during  the
       during the
      reaction,    reaction,
                (G):         (G): Temperature
                     Temperature                andper
                                    and revolution   revolution   per minute
                                                         minute (RPM)            (RPM)(H):
                                                                           controller,   controller,  (H): Power meter.
                                                                                              Power meter.

2.6.3. Material Characterization
     XRD analyses were performed using Philips X’Pert Pro multi-purpose diffractometer with Cu
radiation and the 2 θ used was 10–90◦ . Collection time and step size were 1 s and 0.02◦ , respectively.
Semi-quantitative XRD was performed by addition of silicon reference material inside the original
sample [16]. Inductively coupled plasma-optical emission spectrometry (ICP-OES) (Varian) was used
to determine elemental composition of Mg, Si, and Fe in liquid samples. Olivine feed and concurrent
      Figure 4. Photo of the carbonic acid dissolution experimental set-up closed (back pressure regulator
ground products were analyzed using scanning electron microscopy (SEM) (Zeiss Sigma VP FESEM).
      (BPR)) system, (A): Carbon dioxide gas cylinder, (B): Sampler to sample slurry, (C): Low pressure
      gauge, (D): Reactor vessel, (E): Back pressure regulator, (F): Electric heater for heating the slurry
      during the reaction, (G): Temperature and revolution per minute (RPM) controller, (H): Power meter.
2.6.3. Material Characterization
       XRD analyses were performed using Philips X’Pert Pro multi-purpose diffractometer with Cu
 radiation and the 2 θ used was 10–90°. Collection time and step size were 1 s and 0.02°, respectively.
 Semi-quantitative XRD was performed by addition of silicon reference material inside the original
 sample
Minerals   [16].
         2020, 10,Inductively
                   1091       coupled plasma-optical emission spectrometry (ICP-OES) (Varian) was used6 of 16
 to determine elemental composition of Mg, Si, and Fe in liquid samples. Olivine feed and concurrent
 ground products were analyzed using scanning electron microscopy (SEM) (Zeiss Sigma VP FESEM).
Particle
 Particlesize
            size analyses
                  analyses were  performedusing
                           were performed    usingMalvern
                                                   MalvernMastersizer
                                                             Mastersizer   2000.
                                                                        2000.     To identify
                                                                              To identify and and quantify
                                                                                               quantify the
the different   phases   present in dunite, samples were   heated from  0–1000  ◦ C in TGA, coupled with a
 different phases present in dunite, samples were heated from 0–1000 °C in TGA, coupled with a mass
mass  spectrometer.
 spectrometer.      For For
                        moremore  details
                               details    about
                                       about    material
                                             material    characterization
                                                      characterization    and
                                                                        and    techniquesused,
                                                                             techniques   used,readers
                                                                                                readersare
                                                                                                         are
referred   to [14,16].
 referred to [14,16].

3.3.Results
     Resultsand
             andDiscussion
                Discussion
3.1. Feedstock Phase Identification and Analysis
 3.1. Feedstock Phase Identification and Analysis
      X-ray Diffraction (XRD) analysis of the dunite sample indicated that it contained various mineral
       X-ray Diffraction (XRD) analysis of the dunite sample indicated that it contained various mineral
phases, i.e., lizardite, olivine, brucite, and magnetite. Semi-quantitative XRD and TGA-MS analyses
 phases, i.e., lizardite, olivine, brucite, and magnetite. Semi-quantitative XRD and TGA-MS analyses
revealed
 revealedthat
            thatthe
                 thedunite
                      dunitesample
                               samplewas
                                       was composed
                                            composed of of 61%–62%
                                                           61%–62% lizardite,   30%–33% olivine,
                                                                     lizardite, 30%–33%    olivine, 3.8%–8.3%
                                                                                                     3.8%–8.3%
brucite,
 brucite,and
           anda minor
                a minor quantity of magnetite
                          quantity            (0.6%).
                                    of magnetite       XRDXRD
                                                  (0.6%).   analysis of heat-activated
                                                                 analysis              dunite
                                                                          of heat-activated   (Figure
                                                                                            dunite     5) shows
                                                                                                     (Figure 5)
that  heat activation   completely   transformed   lizardite to more  reactive Mg-silicate  X-ray
 shows that heat activation completely transformed lizardite to more reactive Mg-silicate X-ray    amorphous
phases   as observed
 amorphous      phases asandobserved
                              reportedand
                                        before  [24] and
                                           reported        dehydroxylated
                                                      before                 brucite to MgO.
                                                             [24] and dehydroxylated    bruciteThe    dominant
                                                                                                 to MgO.    The
crystalline phases   in the heat-activated dunite  were  olivine and magnetite,   which  remained
 dominant crystalline phases in the heat-activated dunite were olivine and magnetite, which remainedunchanged
after heat activation.
 unchanged     after heat activation.

      Figure5.5.Raw
     Figure      Rawdunite
                     dunite(top)
                            (top)and
                                  andheat-treated
                                      heat-treateddunite  (bottom). LL =
                                                   dunite(bottom).     = Lizardite, B == Brucite,
                                                                                         Brucite,OO ==Olivine,
                                                                                                      Olivine,
     MM==Magnetite.
          Magnetite.

       After33hhofofdunite
      After          duniteheat-transformation,
                             heat-transformation, aa product
                                                       product comprised of 64%64% (semi-quantitative
                                                                                    (semi-quantitativeXRD)
                                                                                                        XRD)
  forsteritewas
forsterite   wasformed,
                 formed,which
                          whichwas
                                 waslower
                                      lowerthan
                                             than the
                                                   the maximum possible forsterite formation
                                                                                      formation of
                                                                                                 of85%
                                                                                                    85%based
                                                                                                        based
ononreaction
      reaction   stoichiometry
             stoichiometry   and and
                                 massmass
                                       balancebalance
                                                 shown shown
                                                        in Tablein   Table longer
                                                                  1. Much   1. Much
                                                                                  (100 longer  (100 h) heat-
                                                                                       h) heat-transformation
istransformation   is required
   required to achieve         to achieve
                         maximum           maximum
                                     forsterite        forsterite
                                                formation         formation [16,37].
                                                           [16,37].
Minerals 2020, 10, 1091                                                                                                      7 of 16
Minerals 2020, 10, x FOR PEER REVIEW                                                                                        7 of 16

                                 Table 1. Mass
                                 Table 1. Mass balance
                                               balance to
                                                       to calculate
                                                          calculate theoretical
                                                                    theoretical forsterite.
                                                                                forsterite.
                   Input         Gram Gram
                             Input       Moles Moles        Output
                                                             Output             Moles
                                                                            Moles     Gram                Gram
                 Forsterite Forsterite
                                  29   29  0.20 0.20        Forsterite
                                                           Forsterite        0.33 0.33 46.4        46.4
                 Lizardite  Lizardite
                                  61   61  0.22 0.22           SiO
                                                              SiO2  2        0.11 0.11 6.60        6.60
                             Brucite   8.3      0.14   Water Equation (6)    0.44
                  Brucite         8.3      0.14       Water Equation (6)          0.44 7.93        7.93
                            Magnetite  1.3     0.0056       Magnetite       0.0056     1.30
                 Magnetite        1.3    0.0056            Magnetite            0.0056             1.30
                                                              MgO            0.14      5.73
                                                              MgO                 0.14             5.73
                                                       Water Equation (7)    0.14      2.56
                                                      Water Equation (7)          0.14             2.56
                                                       Forsterite from feed             29
                                                      Forsterite from feed                          29
                              Total    100                    Total                    99.6
                   Total           100                            Total                            99.6
      Wt % theoretical forsterite formation = (Total Forsterite/(100-water Equation (6)-water Equation
      Wt % theoretical forsterite formation = (Total Forsterite/(100-water Equation (6)-water Equation (7) × 100) =
      (7)*100) =−(75.4/(99.6-7.93-2.56))
      (75.4/(99.6                         * 100 = 85%.
                  7.93 − 2.56)) × 100 = 85%.

     XRD
     XRD patterns
           patterns of
                     of olivine
                        olivinecrystals
                                 crystals(Sample
                                           (Sample1)1)and
                                                        andcrushed
                                                            crushedolivine
                                                                     olivine(Sample
                                                                             (Sample2)2)are
                                                                                         areshown
                                                                                              shown  inin
                                                                                                        Figure 6.
                                                                                                          Figure
Olivine crystals
6. Olivine        were
           crystals wereessentially  100%
                           essentially      pure
                                         100%    as determined
                                               pure              by semi-quantitative
                                                     as determined  by semi-quantitativeXRD   analysis
                                                                                            XRD          andand
                                                                                                   analysis  the
crushed  olivine  samples   were  94%   olivine (based   on semi-quantitative  XRD  analysis).
the crushed olivine samples were 94% olivine (based on semi-quantitative XRD analysis). The     The   elemental
composition   of the crushed
elemental composition          olivine
                           of the       sample
                                  crushed       wassample
                                            olivine   determined  by ICP-OES.by
                                                             was determined     The sample was
                                                                                  ICP-OES.    The estimated
                                                                                                    sample wasto
comprise
estimated30.7%   Mg and30.7%
           to comprise     19.1%MgSi, consistent
                                      and 19.1%with    the XRF analysis
                                                  Si, consistent        that
                                                                 with the XRFshowed  Mgthat
                                                                               analysis   andshowed
                                                                                               Si compositions
                                                                                                        Mg and
of 29.9% and  19.4%,  respectively.
Si compositions of 29.9% and 19.4%, respectively.

      Figure 6.6. XRD
      Figure       XRDpatterns
                         patterns forfor  crushed
                                      crushed       olivine
                                               olivine        (top)olivine
                                                       (top) and     and olivine    crystals (bottom).
                                                                           crystals (bottom).  O = Olivine,OC = =Olivine, C =
                                                                                                                  Clinochlore,
      Clinochlore,
      E = Enstatite,EL==Enstatite,
                            Lizardite,L T
                                        = Lizardite,
                                           = Talc. ForTcrushed
                                                        = Talc. For   crushed
                                                                  olivine,  the olivine,  the phasesare
                                                                                phases identified     identified  are olivine,
                                                                                                         olivine, clinochlore,
      clinochlore,
      enstatite,     enstatite,
                 lizardite, and lizardite,  and talc.
                                 talc. For olivine     For olivine
                                                    crystals,         crystals,
                                                              the phase         the phase
                                                                          identified         identified is olivine.
                                                                                      is olivine.

3.2. Acid Dissolution Experiments
      Comparing Mg-leachability
                     Mg-leachability of   of the
                                             the four
                                                  four feedstocks
                                                        feedstocks chosen
                                                                      chosen for
                                                                               for this
                                                                                    this study,
                                                                                         study, i.e.,
                                                                                                 i.e., sub-75
                                                                                                       sub-75 µm     raw,
                                                                                                                µm raw,
heat-activated (630 ◦°C,  C, 4 h), heat-transformed (800 ◦°C,     C, 3 h) (64% forsterite), and twin sister dunite
(more than
        than 90%
              90% forsterite),
                    forsterite), provided
                                  provided insight
                                              insight into
                                                       into the
                                                             the reactivity
                                                                  reactivity of
                                                                             of each
                                                                                 each material.
                                                                                       material. Further dissolution
experiments                                                                                                  ◦ C, 4 h) to
experiments werewereperformed
                       performedusingusingdifferent
                                             differentsize
                                                        sizefractions
                                                              fractionsofof
                                                                          heat-transformed
                                                                            heat-transformed   dunite
                                                                                                  dunite(800
                                                                                                           (800  °C, 4 h)
study  the the
to study   effect of particle
                effect        size distribution
                        of particle               on reactivity
                                      size distribution           and in particular
                                                          on reactivity              Mg-leachability.
                                                                           and in particular             The fraction
                                                                                                 Mg-leachability.      of
                                                                                                                     The
magnesium,     silicon, and iron
fraction of magnesium,             extracted
                             silicon,         overextracted
                                       and iron     a 7 h dissolution
                                                               over a 7period   is shownperiod
                                                                         h dissolution     in Figures  7–9, respectively.
                                                                                                  is shown    in Figures
Sub-75   µm fractions    of raw, heat-transformed            ◦ C, 3 h), heat-activated (630 ◦ C, 4 h), and twin sister
7–9, respectively.    Sub-75   µm   fractions of raw,(800heat-transformed     (800 °C, 3 h), heat-activated (630 °C,
dunite
4 h), andhad  similar
           twin   sisterparticle
                         dunitesize
                                  haddistribution     (PSD),
                                        similar particle  sizeasdistribution
                                                                  shown in Figure
                                                                              (PSD),10.as shown in Figure 10.
Minerals 2020, 10, x FOR PEER REVIEW                                                                                                                                                                                       8 of 16

    Minerals
Minerals     2020,
         2020, 10, 10,
                   1091x FOR PEER REVIEW                                                                                                                                                                                      8 of 16 8 of 16

                                                             -75 um Heat-activated dunite (630 °C, 4 h)                                                                         -20 um Heat-transformed dunite (800 °C, 4 h)

                                                         -75
                                                          -75um
                                                             umHeat-activated dunite
                                                                Heat-transformed     (630(800
                                                                                 dunite   °C, 4°C,
                                                                                                h) 3 h)                                                                   -20 um Heat-transformed dunite (800 °C, 4 h)
                                                                                                                                                                           -75 um Heat-transformed dunite (800 °C, 4 h)
                                                         -75
                                                          -75 um
                                                              umHeat-transformed
                                                                 Raw dunite      dunite (800 °C, 3 h)                                                                     -75 um Heat-transformed dunite (800 °C, 4 h)
                                                                                                                                                                           20-45 um Heat-transformed dunite (800 °C, 4 h)
                                                         -75
                                                          -75um
                                                             umRaw
                                                                Twindunite
                                                                     sister dunite                                                                                        20-45 um Heat-transformed dunite (800 °C, 4 h)
                                    0.7-75 um Twin sister dunite                                                                                                                0.5
                     Mg Extracted

                                                                                                                                                                 Mg Extracted
                                    0.6
                                    0.7                                                                                                                                 0.5
                                                                                                                                                                         0.4
                  of Extracted

                                                                                                                                                              of Extracted
                                    0.5
                                    0.6
                                    0.4                                                                                                                                 0.4
                                                                                                                                                                         0.3
                                    0.5
                                    0.3
                                    0.4                                                                                                                                 0.3
                                                                                                                                                                         0.2
              of Mg

                                                                                                                                                          of Mg
                                    0.2
                                    0.3
        Fraction

                                                                                                                                                                        0.2

                                                                                                                                                     Fraction
                                    0.1                                                                                                                                  0.1
                                    0.2
     Fraction

                                                                                                                                                 Fraction
                                    0.10                                                                                                                                0.10
                                      0 0          2           4                                  6            8
                                                                                                                                                                                0     0        2              4           6               8
                                                                                      Time (h)                                                                                                       Time (h)
                                                                   0         2           4       6            8                                                                       0        2          4           6               8
                                                                                      Time (h)                                                                                                      Time (h)
            Figure 7. The extent of Mg extracted from sub-75 µm fractions of raw dunite, heat-activated dunite
       Figure
           Figure  The
            (6307.°C,    extent
                    7. 4The
                         h), extentofofMg
                                        Mgextracted
                             heat-transformed         from
                                                  dunite
                                            extracted       sub-75
                                                         (800
                                                      from            µmand
                                                               °C, 3 µm
                                                            sub-75   h),   fractions
                                                                              twin of
                                                                         fractions    of raw
                                                                                    sister
                                                                                      raw     dunite,
                                                                                           dunite
                                                                                            dunite,      heat-activated
                                                                                                   (left).                dunite
                                                                                                           The extentdunite
                                                                                                    heat-activated    of Mg
             ◦ C, 4 h),from
            extracted
       (630(630                different size fractions of    ◦ C, 3 h), and twin
                                                           heat-transformed    dunite  (800 °C, 4 h) (right).
                 °C, 4 h), heat-transformed dunite (800 °C, 3 h), and twin sister dunite (left). The extent of Mgof Mg
                         heat-transformed       dunite  (800                         sister dunite   (left).  The extent
        extracted  from  different size                                               ◦
            extracted from different sizefractions
                                           fractionsof
                                                    of heat-transformed  dunite
                                                       heat-transformed dunite   (800
                                                                               (800 °C, C,
                                                                                        4 h)4 (right).
                                                                                               h) (right).

                                                                  -75 um Heat-activated dunite (630 °C, 4 h)                                                 -20 um Heat-transformed dunite (800 °C, 4 h)
                                                                  -75 um Heat-activated dunite (630 °C, 4 h)                                          -20 um Heat-transformed dunite (800 °C, 4 h)
                                                                   -75 um Heat-transformed dunite (800 °C, 3
                                                                                                                                                       -75 um Heat-transformed dunite (800 °C, 4 h)
                                                                   h)
                                                                  -75 um Heat-transformed dunite (800 °C, 3
                                                                   -75 um Twin sister dunite                                                          -75 um Heat-transformed dunite (800 °C, 4 h)
                                                                  h)
                                                                                                                                                       20-45 um Heat-transformed dunite (800 °C, 4 h)
                                                                  -75 um Twin sister dunite
                                                                   -75 um Raw dunite                                                                  20-45 um Heat-transformed dunite (800 °C, 4 h)
                                                                  -75 um Raw dunite
                                                                  0.4                                                                        0.3
                                                                                                                                  Si Extracted
                                                   Si Extracted

                                                                  0.4                                                                       0.3
                                                                                                                                            0.25
                                                                  0.3
                                                                                                                                ofExtracted
                                                 ofExtracted

                                                                                                                                           0.25
                                                                                                                                             0.2
                                                                  0.3
                                                                  0.2                                                                       0.2
                                                                                                                                            0.15
                                                                  0.2                                                                      0.15
                                                                                                                                             0.1
                                                                                                                            of Si
                                             of Si

                                                                  0.1
                                                                                                                      Fraction
                                       Fraction

                                                                  0.1                                                                       0.1
                                                                                                                                            0.05
                                                                                                                   Fraction
                                    Fraction

                                                                    0                                                                      0.050
                                                                    0 0           2        4     6        8                                   0 0                                          2          4           6               8
                                                                      0          2        4
                                                                                       Time (h) 6
                                                                                                4 (h) 6
                                                                                              Time       8              8                        0                                        2
                                   Time (h)                                                  Time (h)
       Figure 8. Fraction of silicon extracted from sub-75 µm fractions of raw dunite, heat-activated dunite
       (630 ◦ C, 4 h), heat-transformed dunite (800 ◦ C, 3 h), and twin sister dunite (left). Fraction of magnesium
           Figurefrom
       extracted    8. Fraction
                          sub-75ofµm
                                   silicon extracted
                                        fraction,    fromµm
                                                  sub-20  sub-75 µm fractions
                                                             fraction,         of raw
                                                                        and 20–45    µm dunite, heat-activated
                                                                                          fraction               dunite
                                                                                                    of heat-transformed
           (630 °C,
           Figure      4 h), heat-transformed
                   8.◦Fraction                    dunite
                               of silicon extracted from(800 °C,µm
                                                         sub-75   3 fractions
                                                                    h), and twin
                                                                              of rawsister  dunite
                                                                                      dunite,       (left). Fraction
                                                                                               heat-activated  duniteof
       dunite (800 C, 4 h) (right).
                                           magnesium
                                          (630         extracted
                                                °C, 4 h),         from sub-75
                                                          heat-transformed       µm fraction,
                                                                               dunite  (800 °C,sub-20
                                                                                                 3 h), µm
                                                                                                       andfraction, and dunite
                                                                                                            twin sister 20–45 µm   fraction
                                                                                                                               (left).      of heat-
                                                                                                                                       Fraction of
                                           transformedextracted
                                          magnesium     dunite (800
                                                                 from°C,sub-75
                                                                         4 h) (right).
                                                                                µm fraction, sub-20 µm fraction, and 20–45 µm fraction of heat-
                                          transformed dunite (800 °C, 4 h) (right).
Minerals 2020, 10, x FOR PEER REVIEW                                                                                                                                                                                 9 of 16

                                                                      -75 um Heat-activated dunite (630 °C, 4 h)
                                                                                                                                                                            -20 um Heat-transformed dunite (800 °C, 4 h)
Minerals    -75
         2020,
 Minerals 2020,  um
               10,
                10, x Raw
                   1091   dunite
                      FOR PEER REVIEW
                                                                                                                                                                                                                              9 of 16
                                                                                                                                                                            -75 um Heat-transformed dunite (800 °C, 49h)
                                                                                                                                                                                                                      of 16
                                                                      -75 um Twin sister dunite
                                                                                                                                                                            20-45 um Heat-transformed dunite (800 °C, 4 h)
                                                           -75
                                                            -75um
                                                               umHeat-activated dunite
                                                                  Heat-transformed     (630(800
                                                                                   dunite    °C, °C,
                                                                                                 4 h)3
                                                                                                                                                                            -20 um Heat-transformed dunite (800 °C, 4 h)
                                                            h)
                                                           -75 um Raw dunite

                                                                                                                                                         of Fe Extracted
                                                           0.3                                                                                                             0.18
                                                                                                                                                                            -75 um Heat-transformed dunite (800 °C, 4 h)
                           of Fe Extracted

                                                -75 um Twin sister dunite                                                                                                  0.16
                                               0.25                                                                                                                        0.14
                                                                                                                                                                            20-45 um Heat-transformed dunite (800 °C, 4 h)
                                                           0.2
                                                           -75 um Heat-transformed dunite (800 °C, 3                                                                       0.12
                                                              h)                                                                                                             0.1
                                             0.15

                                                                                                                                                  Extracted
                                              0.3                                                                                                                          0.18
                                                                                                                                                                           0.08
                    Extracted

                                               0.1                                                                                                                         0.16
                                                                                                                                                                           0.06

                                                                                                                                                Fraction
                                             0.25                                                                                                                          0.14
                                                                                                                                                                           0.04
                  Fraction

                                             0.05
                                              0.2                                                                                                                          0.12
                                                                                                                                                                           0.02

                                                                                                                                   Fraction of Fe
                                                                                                                                                                            0.10
                                             0.150
     Fraction of Fe

                                                                          0        2        4        6        8                                                            0.08 0          2         4         6          8
                                                      0.1                                                                                                                  0.06
                                                                                        Time (h)                                                                           0.04                  Time (h)
                                             0.05                                                                                                                          0.02
                                                                      0                                                                                                       0
                                                                          0       2        4        6        8                                                                   0         2        4          6         8
                                                                                       Time (h)                                                                                                  Time (h)
           Figure 9. Fraction of iron extracted from sub-75 µm fractions of raw dunite, heat-activated dunite (630
           °C, 4 h),
         Figure      heat-transformed
                 9. Fraction               dunite (800from
                                of iron extracted       °C, 3sub-75
                                                              h), andµmtwin sister dunite
                                                                          fractions       (left).
                                                                                     of raw       Fraction
                                                                                             dunite,       of magnesium
                                                                                                        heat-activated dunite
           extracted
              ◦        from  sub-75   µm   fraction, sub-20 ◦µm  fraction, and  20–45 µm   fraction  of heat-transformed
         (630 C, 4 h), heat-transformed dunite (800 C, 3 h), and twin sister dunite (left). Fraction of magnesium
           dunite (800
         extracted   from°C,sub-75
                             4 h) (right).
                                     µm fraction, sub-20 µm fraction, and 20–45 µm fraction of heat-transformed
           Figure(800
          dunite       ◦ C, 4 h)
                  9. Fraction  of(right).
                                  iron extracted from sub-75 µm fractions of raw dunite, heat-activated dunite (630
                           °C, 4 h), heat-transformed dunite (800 °C, 3 h), and twin sister dunite (left). Fraction of magnesium
                                -75 um
                           extracted    Rawsub-75
                                      from   duniteµm fraction, sub-20 µm fraction, and 20–45 µm fraction of heat-transformed
                                                                                      -20 heat-transformed dunite (800 °C, 4 h)
                           dunite (800 °C, 4 h) (right).
                                -75 um Heat-activated dunite (630 °C, 4 h)
                                                                                                                                                                             20-45 um heat-transformed dunite (800 °C, 4 h)
                                                                -75 um Heat-transformed dunite (800 °C, 3
                                                                h) um Raw dunite
                                                               -75
                                                                -75 um Twin Sister dunite                                                                                    -75heat-transformed
                                                                                                                                                                            -20 um heat-transformed  dunite
                                                                                                                                                                                                 dunite (800(800
                                                                                                                                                                                                             °C, 4°C,
                                                                                                                                                                                                                   h) 4 h)
                                                               -75 um Heat-activated dunite (630 °C, 4 h)
                                                                   18 20-45 um heat-transformed dunite (800 °C, 4 h)
                                                                      6
                                                               -75 um Heat-transformed dunite (800 °C, 3
                                                               h)  16
                                                                5
                                                                                                                                  (%) density (%)
                                                    (%) density (%)

                                                                   14 -75 um heat-transformed dunite (800 °C, 4 h)
                                                               -75 um Twin Sister dunite
                4                                                  12
               6                                                   10
                                                                   18
                3
                                                                   168
               5
                                                                                                                             Volume
                                               Volume

                2                                                  146
               4                                                   124
                                                                                                                   Volume density
                                     Volume density

                1
                                                                   102
               3
                0                                                   80
               2 0.1          1        10        100      1000      6 0.1          1        10       100      1000
                              Size classes (µm)                     4               Size Classes (µm)
               1
                                                                    2
         Figure 10. Particle size distribution (PSD) for sub-75 µm fractions of raw dunite, heat-activated dunite
               0                                                    0
         (630 ◦ C, 4 h), heat-transformed dunite (800 ◦ C, 3 h), and twin sister dunite (left), PSD for sub-75 µm
           Figure0.1         1 size distribution
                   10. Particle        10       100
                                                 (PSD) for1000         0.1
                                                           sub-75 µm fractions    1 dunite,
                                                                               of raw      10heat-activated
                                                                                                     100
                                                                                                      ◦
                                                                                                              1000
                                                                                                            dunite
          fraction, sub-20 µm fraction, and 20–45 µm fraction of heat-transformed dunite (800 C, 4 h) (right).
                              Size classes (µm)
            (630 °C, 4 h), heat-transformed                                       Size Classes
                                            dunite (800 °C, 3 h), and twin sister dunite           (µm)
                                                                                         (left), PSD for sub-75 µm
                                  fraction, sub-20 µm fraction, and 20–45 µm fraction of heat-transformed dunite (800 °C, 4 h) (right).
      The fraction of magnesium extracted from heat-activated dunite was higher than that from other
materials, 57% as compared to 18% from heat-transformed dunite, 14% from raw dunite, and 11% from
        Figure 10. Particle size distribution (PSD) for sub-75 µm fractions of raw dunite, heat-activated dunite
twin sister dunite (Figure 7). Acid-dissolution results indicated higher Mg leachability in materials rich in
        (630 °C, 4 h), heat-transformed dunite (800 °C, 3 h), and twin sister dunite (left), PSD for sub-75 µm
amorphous      magnesium silicates (e.g., heat-activated dunite) compared to that of forsterite-rich materials
        fraction, sub-20 µm fraction, and 20–45 µm fraction of heat-transformed dunite (800 °C, 4 h) (right).
(e.g., heat-transformed dunite), raw dunite or twin sister dunite (> 90% forsterite). Mg extraction results
were consistent with the trends in magnesite yield reported for the carbonation experiments using these
same materials [4]. Farhang et.al. [22] has previously obtained 60% Mg extraction during 1 h dissolution
using an optimized −75 µm heat-activated lizardite compared to 48% Mg extraction achieved in this
Minerals 2020, 10, 1091                                                                            10 of 16

work using −75 µm heat-activated dunite. This finding indicates that in addition to serpentine, if dunite
is properly heat activated, it can be used as an abundant feedstock for mineral carbonation.
     Heat-transformed dunite showed a slightly elevated level of Mg extraction as compared to that of
raw and twin sister dunite because it contained an approximately 32% amorphous magnesium silicate
(Table 1, mass balance and quantitative XRD) phase. Mg extraction was slightly higher for raw dunite
as compared to that of twin sister dunite because of the 8% brucite present in it. The sub-20 micron
fraction of heat-transformed dunite (800 ◦ C, 4 h) resulted in Mg extraction levels of 43% as compared
to 34% from the sub-75 micron fraction and 20% from the 20–45 micron fraction (Figure 7). The reason
for the higher Mg extraction is the higher quantity of fine particles in the sub-20 micron fraction as
compared to that in the sub-75 micron and 20–45 micron fractions (Figure 10). This indicates that
higher Mg extractions can be achieved by reducing the particle size of the feedstock.
     Similar to Mg extraction, the fraction of silicon extracted from heat-activated dunite was higher
than that of the other samples, 33% from heat-activated dunite compared to 13% from heat-transformed
dunite, 9% from twin sister, and 3% from raw dunite (Figure 8 left). This again highlights that materials
rich with amorphous magnesium silicates (e.g., heat-activated dunite) are more reactive (soluble)
than forsterite-rich materials such as heat-transformed dunite, twin sister dunite, and raw dunite.
Si extraction was significant here compared to 90% forsterite). This preferential release of Mg continued
(but at a reduced rate after the initial 30 min) for 2 h, after which time the dissolution was close to
stoichiometric. The incongruent dissolution of Mg from dunite (Figure 11b) is thought to be due to
the presence of 30% forsterite and high levels of Mg dissolution is due to the presence of 8% brucite
(which lacks silicon in its structure). Heat-transformed dunite (64% forsterite) also showed preferential
release of Mg, as did forsterite, but this trend quickly stabilized and trended towards stoichiometric
dissolution (Figure 11c–f). This preferential Mg release was higher for sub-20 µm heat-transformed
dunite, especially at the initial stages of dissolution and is attributed to the high fraction of smaller
particle size material. Materials rich in forsterite (twin sister dunite and heat-transformed dunite) show
preferential Mg release and exhibit incongruent dissolution similar to that of forsterite (Figure 11a–f).
Heat-activated dunite (amorphous magnesium silicate rich) on the other hand behaves differently and
shows congruent dissolution (Figure 11g). This trend of heat-activated dunite has been also observed
by others but for heat-activated lizardite [40].
size material. Materials rich in forsterite (twin sister dunite and heat-transformed dunite) show
preferential Mg release and exhibit incongruent dissolution similar to that of forsterite (Figure 11a–
f). Heat-activated dunite (amorphous magnesium silicate rich) on the other hand behaves differently
and shows congruent dissolution (Figure 11g). This trend of heat-activated dunite has been also
observed    by10,others
Minerals 2020,    1091 but for heat-activated lizardite [40].                                   11 of 16

                                                                             (a)                                                                        (b)
                                                                                                       14
            4                                                                                          12
                                                                                                       10

                                                                                              Mg /Si
            3                                                                                           8
  Mg /Si

                                                                                                        6
            2                                                                                           4                -75 um Raw dunite
                              -75 um Twin sister dunite (90+                                            2
            1
                              forsterite)                                                               0
            0                                                                                               0        2              4           6           8
                  0               2              4         6                 8                                             Time (h)
                                           Time (h)

                                                                             (c)                                                                        (d)
            3                                                                                    3
          2.5                                                                                  2.5
            2                                                                                    2
Mg /Si

                                                                                     Mg /Si
          1.5                  -75 um Heat-transformed                                         1.5              -75 um Heat-transformed
            1                  dunite (800 °C, 3 h)                                              1              dunite (800 °C, 4 h)
          0.5                                                                                  0.5
            0                                                                                    0
                      0           2          4         6           8                                    0       2               4           6           8
                                       Time (h)                                                                           Time (h)

                                                                             (e)                                                                        (f)
         5                                                                                    10
         4                                                                                     8                    -20 um Heat-
                                                                                                                    transformed dunite
         3                                                                                     6
Mg /Si

                                                                                     Mg /Si

                                  20-45 um Heat-                                                                    (800 °C, 4 h)
         2                        transformed dunite                                           4
         1                        (800 °C, 4 h)                                                2
         0                                                                                     0
 Minerals 2020, 10, x FOR PEER REVIEW                                                                                                               12 of 16
                  0           2             4         6            8                                   0        2           4           6           8
                                      Time (h)                                                                           Time (h)
                    3
                  2.5
                    2
         Mg /Si

                  1.5                     Heat-activated dunite
                    1
                                      Heat-activated lizardite
                  0.5
                    0
                          0           2            4           6                 8
                                                Time (h)
                                                                       (g)
             Figure11.
           Figure      11.The
                           TheMg/Si
                                Mg/Siratio
                                       ratiofor
                                             fordifferent
                                                 differentmaterials:
                                                           materials:(a)(a)sub-75
                                                                             sub-75µmµmtwintwinsister
                                                                                                 sisterdunite
                                                                                                        dunite(more
                                                                                                                (morethan
                                                                                                                       than90%
                                                                                                                             90%
             forsterite)   taken  as reference;  (b)  sub-75  µm   raw   dunite;   (c)  sub-75   µm   heat-transformed
           forsterite) taken as reference; (b) sub-75 µm raw dunite; (c) sub-75 µm heat-transformed dunite (800 C,        dunite
                                                                                                                             ◦

           3 (800  °C,sub-75
             h); (d)    3 h); µm
                              (d) heat-transformed
                                  sub-75 µm heat-transformed        dunite
                                                      dunite (800 ◦ C,       (800
                                                                       4 h); (e)   °C, 4µm
                                                                                 20–45    h);heat-transformed
                                                                                              (e) 20–45 µm heat-transformed
                                                                                                                 dunite (800 ◦ C,
           4 dunite    (800 °C,µm
              h); (f) sub-20    4 h); (f) sub-20 µm heat-transformed
                                   heat-transformed     dunite (800 ◦ C, 4 dunite
                                                                             h); and(800    °C, 4 h);
                                                                                       (g) sub-75   µmand  (g) sub-75 µm
                                                                                                        heat-activated      heat-
                                                                                                                         dunite
             activated
                 ◦
           (630 C, 4 h). dunite  (630 °C,  4 h).

 3.4. Carbonic Acid Dissolution of Raw Olivine
      Sub-20 micron olivine was treated by carbonic acid solution (3 bar CO2, 45 °C, 2 wt % solid) with
 the aid of concurrent grinding (1 mm zirconia, 60 wt %) to enhance Mg extraction from this feedstock.
 Mg extraction of 16% was achieved in 4 h dissolution (Figure 12 left). The trend of Mg extraction
 shows that it continuously increased over time. Therefore, a much longer dissolution period is
 required for higher Mg extractions. PSD analysis (Figure 12, Table 2) showed that olivine was
Figure 11. The Mg/Si ratio for different materials: (a) sub-75 µm twin sister dunite (more than 90%
    forsterite) taken as reference; (b) sub-75 µm raw dunite; (c) sub-75 µm heat-transformed dunite
    (800 °C, 3 h); (d) sub-75 µm heat-transformed dunite (800 °C, 4 h); (e) 20–45 µm heat-transformed
    dunite (800 °C, 4 h); (f) sub-20 µm heat-transformed dunite (800 °C, 4 h); and (g) sub-75 µm heat-
Minerals 2020, 10, 1091                                                                                12 of 16
    activated dunite (630 °C, 4 h).

3.4.
3.4.Carbonic
     CarbonicAcid
             AcidDissolution
                  DissolutionofofRaw
                                 RawOlivine
                                     Olivine
      Sub-20
       Sub-20micron
                micron olivine
                          olivine was
                                    was treated
                                          treated by
                                                   by carbonic
                                                       carbonic acid
                                                                 acid solution
                                                                       solution (3 (3 bar
                                                                                      bar CO
                                                                                          CO22,, 45
                                                                                                 45 °C,
                                                                                                     ◦ C,22wtwt%%solid)
                                                                                                                   solid)with
                                                                                                                           with
the
 the aid of concurrent grinding (1 mm zirconia, 60 wt %) to enhance Mg extraction from thisfeedstock.
     aid of concurrent      grinding    (1 mm   zirconia,   60 wt %)  to enhance     Mg  extraction     from  this   feedstock.
Mg
 Mg extraction
      extraction of of 16%
                        16%waswasachieved
                                    achieved  inin
                                                 4 h4dissolution
                                                      h dissolution    (Figure
                                                                   (Figure        12 left).
                                                                            12 left).       The trend
                                                                                       The trend   of Mgofextraction
                                                                                                              Mg extraction
                                                                                                                         shows
shows    that   it continuously      increased     over   time. Therefore,      a  much    longer
 that it continuously increased over time. Therefore, a much longer dissolution period is required  dissolution     period for
                                                                                                                             is
required    for   higher    Mg   extractions.    PSD    analysis   (Figure   12,   Table   2)  showed
 higher Mg extractions. PSD analysis (Figure 12, Table 2) showed that olivine was converted into very      that  olivine   was
converted     into(dvery    fine powder (d10 = 0.08 µm (80 nanometres), d50 = 0.32 µm) using concurrent
 fine powder         10 = 0.08 µm (80 nanometres), d50 = 0.32 µm) using concurrent grinding. Very fine
grinding.    Very    fine
 concurrent ground product  concurrent      ground
                                      (Figure   13b)product     (Figurein13b)
                                                       was identified       SEMwas      identified
                                                                                    analysis           in SEM to
                                                                                               as compared        analysis  as
                                                                                                                     relatively
compared
 large feed to    relatively
               particles       large13a).
                           (Figure    feed Formation
                                             particles (Figure
                                                          of nano 13a).  Formation
                                                                    particles          of nano
                                                                                 of olivine  wasparticles     of olivine
                                                                                                   also identified         was
                                                                                                                       by SEM
also  identified   by   SEM    analysis   of concurrent    ground   product     (Figure  13c).
 analysis of concurrent ground product (Figure 13c). Even though olivine was converted into nanoEven    though   olivine   was
converted    into  nano    particles,  the  extent  of dissolution   was  still very  low,  indicating
 particles, the extent of dissolution was still very low, indicating the low reactivity of olivine under   the low  reactivity
of  olivine
 these       under these
        conditions.           conditions.
                         Formation,          Formation,
                                       presence,            presence,
                                                    and growth          and growth
                                                                   of secondary         of secondary
                                                                                     phases   on olivine  phases   onsurfaces
                                                                                                            particle   olivine
particle  surfaces    reduce    olivine
 reduce olivine dissolution [41].         dissolution   [41].

                                                 Sub 20 micron olivine                                                Sub 20 micron olivine feed

                                                                                                                      Concurrent ground product
                              0.2                                                                       8
                             0.18
  Fraction of Mg Extracted

                                                                                                        7
                                                                                   Volume density (%)

                             0.16
                                                                                                        6
                             0.14
                                                                                                        5
                             0.12
                              0.1                                                                       4
                             0.08                                                                       3
                             0.06                                                                       2
                             0.04                                                                       1
                             0.02                                                                       0
                                0                                                                           0.01       1             100
                                    0        1       2       3        4        5                                   Size classes (μm)
                                                     Time (h)

                             Figure 12. Mg extraction for sub-20 micron olivine (left), PSD analysis for sub-20 micron olivine feed
                             and concurrent ground product (right).

                                     Table
                             Figure 12.    2. PSD analysis
                                        Mg extraction       for sub-20
                                                      for sub-20       micron
                                                                  micron       olivine
                                                                         olivine (left),feed
                                                                                         PSDand concurrent
                                                                                             analysis       ground
                                                                                                      for sub-20    product.
                                                                                                                 micron  olivine feed
                             and concurrent ground product (right).
                                                                                         d10           d50           d90
                                      Feed and Concurrent Ground Product
                                                                                         µm            µm            µm
                                              Sub-20 micron olivine feed                                3.04       13            31
                                        Sub-20 micron olivine concurrent ground                         0.08       0.32          5.1
Table 2. PSD analysis for sub-20 micron olivine feed and concurrent ground product.

                                                                           d10       d50      d90
                       Feed and concurrent ground product
                                                                          µm        µm        µm
                             Sub-20 micron olivine feed                   3.04       13       31
Minerals 2020, 10, 1091 Sub-20 micron olivine concurrent ground           0.08      0.32      5.1            13 of 16

                                                        (a)

                                                        (b)

                                                        (c)

     Figure 13.
            13. SEM
                  SEMmicrograph
                        micrograph for for
                                       sub-20 micron
                                           sub-20     olivine
                                                  micron      feed and
                                                            olivine feedconcurrent   ground ground
                                                                          and concurrent     products: (a) sub-
                                                                                                     products:
     20 sub-20
     (a) micronmicron
                 olivineolivine
                          feed, feed,
                                 (b) concurrent   ground
                                       (b) concurrent groundproduct,  and
                                                                product, and(c)(c)concurrent
                                                                                   concurrent ground
                                                                                              ground product
     nanometer-sized particles.

4. Conclusions
4. Conclusions
      Heat-activated
      Heat-activated dunite
                      dunite can
                              can be
                                  be used
                                     used asas a feedstock for
                                               a feedstock  for mineral
                                                                mineral carbonation.
                                                                         carbonation. Heat-activated
                                                                                       Heat-activated dunite
                                                                                                       dunite
showed
showed higher
         higher Mg,   Si, and
                 Mg, Si,  and Fe
                               Fe extractions
                                  extractions compared
                                                compared toto that
                                                               that of
                                                                    of heat-transformed
                                                                       heat-transformed dunite,
                                                                                          dunite, raw
                                                                                                  raw dunite,
                                                                                                       dunite,
and  twin sister dunite.  These results  are in agreement   with  magnesite   yield results obtained for
and twin sister dunite. These results are in agreement with magnesite yield results obtained for these   these
materials [4]. This study showed that carbonation extent and Mg extractions have a direct relationship.
Elevated Fe extraction from twin sister dunite compared to heat-transformed dunite was due to the presence
of a small amount of chromite (FeCr2 O4 ) in this mineral. When different fractions of heat-transformed
dunite were dissolved, the sub-20 micron fraction showed higher Mg, Si, and Fe extractions followed by
the sub-75 micron and 20–45 micron fractions. Heat-activated dunite showed congruent dissolution while
Minerals 2020, 10, 1091                                                                                               14 of 16

forsterite rich materials showed incongruent dissolution. Forsterite/olivine does not dissolve properly
under acidic and carbonic acid dissolution (with concurrent grinding) conditions. Only 16% Mg extraction
was achieved from olivine during 4 h of dissolution. Further research is required to investigate different
acid dissolution approaches, medias, media mixtures, and reactor configurations to increase Mg extraction
from olivine. Different buffer solutions and or acid solutions need to be investigated to increase Mg
extraction from peridotites. Outstanding research questions include the following: Why does sub-75 µm
twin sister dunite show a higher Si extraction compared to that of sub-75 µm raw dunite? Why does raw
dunite show a higher Fe extraction compared to that of twin sister dunite and heat-transformed dunite?

Author Contributions: Conceptualization, M.I.R.; Data curation, M.I.R.; Formal analysis, M.I.R.; Roles/Writing-original
draft, M.I.R.; Investigation, E.B. and F.F.; Methodology, E.B. and F.F.; Writing-review and editing, E.B., F.F., M.S., and
E.M.K.; Validation, E.B. and F.F.; Visualization, E.B. and F.F.; Funding acquisition, M.S. and E.M.K.; Project administration,
M.S. and E.M.K.; Supervision, M.S. and E.M.K. All authors have read and agreed to the published version of
the manuscript.
Funding: This research was funded by Mineral Carbonation international.
Acknowledgments: M.I.R. thanks the University of Newcastle, Australia for a postgraduate scholarship.
Jennifer Zobec and Yun Lin from EMX unit are acknowledged for support in XRD and SEM, respectively.
Kitty Tang is acknowledged for support in particle size analysis.
Conflicts of Interest: The authors declare no conflict of interest.

References
1.    Global Monitoring Laboratory, Trends in Carbon Dioxide. Available online: https://www.esrl.noaa.gov/gmd/
      ccgg/trends/ (accessed on 1 November 2020).
2.    Varney, R.M.; Chadburn, S.E.; Friedlingstein, P.; Burke, E.J.; Koven, C.D.; Hugelius, G.; Cox, P.M. A spatial
      emergent constraint on the sensitivity of soil carbon turnover to global warming. Nat. Commun. 2020,
      11, 5544. [CrossRef]
3.    Rashid, M.I.; Benhelal, E.; Rafiq, S. Reduction of Greenhouse Gas Emissions from Gas, Oil, and Coal Power
      Plants in Pakistan by Carbon Capture and Storage (CCS): A Review. Chem. Eng. Technol. 2020, 43, 2140–2148.
      [CrossRef]
4.    Rashid, M.I.; Benhelal, E.; Farhang, F.; Oliver, T.K.; Rayson, M.S.; Brent, G.F.; Stockenhuber, M.; Kennedy, E.M.
      ACEME: Direct Aqueous Mineral Carbonation of Dunite Rock. Environ. Prog. Sustain. Energy 2019, 38, e13075.
      [CrossRef]
5.    Lackner, K.S. A Guide to CO2 Sequestration. Science 2003, 300, 1677–1678. [CrossRef] [PubMed]
6.    Rashid, M.I.; Benhelal, E.; Farhang, F.; Oliver, T.K.; Rayson, M.S.; Brent, G.F.; Stockenhuber, M.; Kennedy, E.M.
      Development of Concurrent grinding for application in aqueous mineral carbonation. J. Clean. Prod. 2019,
      212, 151–161. [CrossRef]
7.    Farhang, F.; Oliver, T.K.; Rayson, M.; Brent, G.; Stockenhuber, M.; Kennedy, E. Experimental study on the
      precipitation of magnesite from thermally activated serpentine for CO2 sequestration. Chem. Eng. J. 2016,
      303, 439–449. [CrossRef]
8.    Benhelal, E.; Rashid, M.I.; Holt, C.; Rayson, M.S.; Brent, G.; Hook, J.M.; Stockenhuber, M.; Kennedy, E.M.
      The utilisation of feed and byproducts of mineral carbonation processes as pozzolanic cement replacements.
      J. Clean. Prod. 2018, 186, 499–513. [CrossRef]
9.    Benhelal, E.; Oliver, T.K.; Farhang, F.; Hook, J.M.; Rayson, M.S.; Brent, G.F.; Stockenhuber, M.; Kennedy, E.M.
      Structure of Silica Polymers and Reaction Mechanism for Formation of Silica-Rich Precipitated Phases in
      Direct Aqueous Carbon Mineralization. Ind. Eng. Chem. Res. 2020, 59, 6828–6839. [CrossRef]
10.   Rim, G.; Wang, D.; Rayson, M.; Brent, G.; Park, A.-H.A. Investigation on Abrasion versus Fragmentation of
      the Si-rich Passivation Layer for Enhanced Carbon Mineralization via CO2 Partial Pressure Swing. Ind. Eng.
      Chem. Res. 2020. [CrossRef]
11.   Benhelal, E.; Rashid, M.I.; Rayson, M.S.; Prigge, J.-D.; Molloy, S.; Brent, G.F.; Cote, A.; Stockenhuber, M.;
      Kennedy, E.M. Study on mineral carbonation of heat activated lizardite at pilot and laboratory scale.
      J. CO2 Util. 2018, 26, 230–238. [CrossRef]
Minerals 2020, 10, 1091                                                                                        15 of 16

12.   Benhelal, E.; Rashid, M.I.; Rayson, M.S.; Brent, G.F.; Oliver, T.; Stockenhuber, M.; Kennedy, E.M. Direct aqueous
      carbonation of heat activated serpentine: Discovery of undesirable side reactions reducing process efficiency.
      Appl. Energy 2019, 242, 1369–1382. [CrossRef]
13.   Werner, M.; Hariharan, S.; Mazzotti, M. Flue gas CO2 mineralization using thermally activated serpentine:
      From single- to double-step carbonation. Phys. Chem. Chem. Phys. 2014. [CrossRef] [PubMed]
14.   Benhelal, E. Synthesis and Application of Mineral Carbonation By-Products as Portland Cement Substitues.
      Ph.D. Thesis, University of Newcastle, Newcastle, Australia, 2018.
15.   Benhelal, E.; Rashid, M.I.; Rayson, M.S.; Oliver, T.K.; Brent, G.; Stockenhuber, M.; Kennedy, E.M. “ACEME”:
      Synthesis and characterization of reactive silica residues from two stage mineral carbonation Process.
      Environ. Prog. Sustain. Energy 2019, 38, e13066. [CrossRef]
16.   Rashid, M.I. Mineral Carbonation of CO2 Using Alternative Feedstocks. Ph.D. Thesis, The University of
      Newcastle, Newcastle, Australia, 2019.
17.   Oliver, T.K.; Farhang, F.; Hodgins, T.W.; Rayson, M.S.; Brent, G.F.; Molloy, T.S.; Stockenhuber, M.;
      Kennedy, E.M. CO2 Capture Modeling Using Heat-Activated Serpentinite Slurries. Energy Fuels 2019,
      33, 1753–1766. [CrossRef]
18.   Mouedhen, I.; Kemache, N.; Pasquier, L.-C.; Cecchi, E.; Blais, J.-F.; Mercier, G. Effect of pCO2 on direct flue
      gas mineral carbonation at pilot scale. J. Environ. Manag. 2017, 198, 1–8. [CrossRef] [PubMed]
19.   Rashid, M.I.; Benhelal, E.; Farhang, F.; Oliver, T.K.; Stockenhuber, M.; Kennedy, E.M. Application of a
      concurrent grinding technique for two-stage aqueous mineral carbonation. J. CO2 Util. 2020, 42, 101347.
      [CrossRef]
20.   Hänchen, M.; Prigiobbe, V.; Storti, G.; Mazzotti, M. Mineral carbonation: Kinetic study of olivine dissolution
      and carbonate precipitation. Proceedings of 8th International Conference On Greenhouse Gas Technology,
      Trondium, Norway, 19–22 June 2006.
21.   Werner, M.; Hariharan, S.; Zingaretti, D.; Baciocchi, R.; Mazzotti, M. Dissolution of dehydroxylated lizardite
      at flue gas conditions: I. Experimental study. Chem. Eng. J. 2014, 241, 301–313. [CrossRef]
22.   Farhang, F.; Rayson, M.; Brent, G.; Hodgins, T.; Stockenhuber, M.; Kennedy, E. Insights into the dissolution
      kinetics of thermally activated serpentine for CO2 sequestration. Chem. Eng. J. 2017, 330, 1174–1186.
      [CrossRef]
23.   Hariharan, S.; Mazzotti, M. Kinetics of flue gas CO2 mineralization processes using partially dehydroxylated
      lizardite. Chem. Eng. J. 2017, 324, 397–413. [CrossRef]
24.   Benhelal, E.; Hook, J.M.; Rashid, M.I.; Zhao, G.; Oliver, T.K.; Rayson, M.S.; Brent, G.F.; Stockenhuber, M.;
      Kennedy, E.M. Insights into chemical stability of Mg-silicates and silica in aqueous systems using 25Mg and
      29Si solid-state MAS NMR spectroscopy: Applications for CO2 capture and utilisation. Chem. Eng. J. 2020.
      [CrossRef]
25.   Park, A.-H.A.; Jadhav, R.; Fan, L.-S. CO2 mineral sequestration: Chemically enhanced aqueous carbonation
      of serpentine. Can. J. Chem. Eng. 2003, 81, 885–890. [CrossRef]
26.   Park, A.-H.A.; Fan, L.-S. CO2 mineral sequestration: Physically activated dissolution of serpentine and pH
      swing process. Chem. Eng. Sci 2004, 59, 5241–5247. [CrossRef]
27.   Maroto-Valer, M.M.; Fauth, D.J.; Kuchta, M.E.; Zhang, Y.; Andrésen, J.M. Activation of magnesium rich
      minerals as carbonation feedstock materials for CO2 sequestration. Fuel Process. Technol. 2005, 86, 1627–1645.
      [CrossRef]
28.   Teir, S.; Kuusik, R.; Fogelholm, C.-J.; Zevenhoven, R. Production of magnesium carbonates from serpentinite
      for long-term storage of CO2 . Int. J. Miner. Process. 2007, 85, 1–15. [CrossRef]
29.   Teir, S.; Revitzer, H.; Eloneva, S.; Fogelholm, C.J.; Zevenhoven, R. Dissolution of natural serpentinite in
      mineral and organic acids. Int. J. Miner. Process. 2007, 83, 36–46. [CrossRef]
30.   Farhang, F.; Oliver, T.K.; Rayson, M.S.; Brent, G.F.; Molloy, T.S.; Stockenhuber, M.; Kennedy, E.M. Dissolution
      of heat activated serpentine for CO2 sequestration: The effect of silica precipitation at different temperature
      and pH values. J. CO2 Util. 2019, 30, 123–129. [CrossRef]
31.   Li, J.; Hitch, M. Mechanical activation of magnesium silicates for mineral carbonation, a review. Miner. Eng.
      2018, 128, 69–83. [CrossRef]
32.   Styles, M.T.; Sanna, A.; Lacinska, A.M.; Naden, J.; Maroto-Valer, M. The variation in composition of ultramafic
      rocks and the effect on their suitability for carbon dioxide sequestration by mineralization following acid
      leaching. Greenh. Gases Sci. Technol. 2014, 4, 440–451. [CrossRef]
You can also read