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Article In Situ TEM Crystallization of Amorphous Particles

, Andrea Falqui * † , Danilo Loche † and Alberto Casu * NABLA Lab, Biological and Environmental Sciences and Engineering (BESE) Division, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia; [email protected] * Correspondence: [email protected] (A.F.); [email protected] (A.C.) The authors contributed equally. †  Received: 18 November 2019; Accepted: 8 January 2020; Published: 17 January 2020 

Abstract: Even though sub-micron and nano-sized iron particles generally display single or polycrystalline structures, a growing interest has also been dedicated to the class of amorphous ones, whose absence of a structure is capable of modifying their physical properties. Among the several routes so far described to prepare amorphous iron particles, we report here about the 3+ crystallization of those prepared by chemical reduction of Fe ions using NaBH4, with sizes ranging between 80 and 200 nm and showing a high stability against oxidation. Their crystallization was investigated by differential scanning calorimetry (DSC), X-ray diffraction (XRD), and in situ heating transmission electron microscopy (TEM). The latter technique was performed by the combined use of electron diffraction of a selected sample area, and bright and dark field TEM imaging, and allowed determining that the crystallization turns the starting amorphous particles into polycrystalline α-Fe ones. Also, under the high vacuum of the TEM column, the crystallization temperature of the 5 particles shifted to 550 ◦C from the 465 ◦C, previously observed by DSC and XRD under 10 Pa of Ar. This indicates the pivotal role of the external pressure in influencing the starting point of phase transition. Conversely, upon both the DSC/XRD pressure and the TEM vacuum conditions, the mean size of the crystal domains increases as a consequence of further thermal increase, even if with some pressure-related differences.

Keywords: in situ heating TEM; particles; amorphous-crystal phase transition; amorphous iron

1. Introduction Amorphous , also often called , have been known of for several decades [1], mainly as alloys. In bulk form, they have deserved growing interest over time for their peculiar properties, such as hard or very soft magnetic behavior, high electric resistivity, high resistance to , and enhanced mechanical properties with respect to their crystalline counterparts [2–6]. All of these properties come from the internal structural disorder of metal glasses. The most traditional method to obtain this class of materials consists of cooling a molten phase at a very high rate 5 6 1 (10 –10 ◦C s− ), so that the do not have enough time to reach the equilibrium positions and give rise to the periodic structure typical of a crystal phase [1]. Besides, over the years other routes were developed to produce amorphous metals, such as chemical vapor deposition, reactions at the solid state, solid-state electromechanically driven amorphization, ion irradiation, and mechanical alloying [7–11]. Fe-based materials play a crucial role among the several soft magnets due to their possible applications in data recording media, electric motors, and magnetic sensors as a consequence of their extremely low , very high magnetization , and good thermal stability [12,13]. Besides, like in the more general case mentioned above, these materials exhibit quite enhanced magnetic

Crystals 2020, 10, 41; doi:10.3390/cryst10010041 www.mdpi.com/journal/crystals Crystals 2020, 10, 41 2 of 13 and mechanical properties at the amorphous state if compared to their crystalline counterparts, because grain boundaries and magnetocrystalline anisotropy are absent in this state [14,15]. In addition, a further major improvement in these physical properties is observed when the materials pass from the bulk state to the sub-micron and nano sizes [16,17]. This is also the case for pure Fe amorphous nanoparticles, which have been studied in terms of magnetic properties, synthetic routes followed, and the influences of these routes over the subsequent crystallization. Two methods emerged as the most widely used to synthesize this kind of small particle, the first based on the ultrasonic irradiation 3+ of iron pentacarbonyl and the second on the reduction of Fe with NaBH4 [18–21]. In this work we report on the first in situ transmission electron microscopy (TEM) study of the crystallization of amorphous iron sub-micron and nanoparticles prepared following the synthetic method where the trivalent iron cations were reduced by using NaBH4. The crystallization was performed by heating the particles using an ultra-low drift, microelectromechanical system (MEMS)-based in situ TEM sample holder under the high vacuum conditions typical of a TEM equipped with a Schottky electron source, and using an experimental procedure similar to the one we already published for the in situ crystallization of titania nanotubes [22,23]. The results reported herein indicate that the amorphous particles, whose size ranges between 80 and 200 nm, start to crystallize at 550 ◦C by in situ TEM heating and give rise multi-domain nanocrystals. These findings were compared with the crystallization of the same particles performed by differential scanning calorimetry (DSC) 5 under 10 Pa of Ar, where a much lower (465 ◦C) crystallization temperature was found in comparison to the thermally-driven in situ TEM experiment. The results found by DSC were further confirmed by X-ray diffraction (XRD) experiments, performed below and above 470 ◦C, and again under the same pressure of Ar. Furthermore, what was observed by both in situ TEM and XRD indicates that the size of the crystal domains increases as a consequence of an additional thermal rise, even if in a slightly different way, and this difference can again be ascribed to the diverse external pressure conditions. All these observed differences concerning both starting crystallization temperature and crystal domains’ growth are discussed in terms of pressure effect, since both the DSC/XRD atmosphere and the high vacuum of the TEM can be considered chemically inert conditions.

2. Materials and Methods

2.1. Synthesis of the Iron Amorphous Particles In a typical synthesis, a FeCl 6H O (Aldrich, St. Louis, MO, USA, 97%) water solution was 3 · 2 heated at 80 ◦C under stirring for 1 h in the presence of anhydrous Na2SO4 (Fisher, Hanover Park, IL, USA) [24]. The mixture was then treated with a NaBH4 (Aldrich, St. Louis, MO, USA, 98%) water 3+ solution (Fe /NaBH4 molar ratio 1/4), added dropwise under N2 atmosphere, to ensure the complete reduction of Fe3+ to the metal state, with a procedure similar to that reported by Chen et al. [25]. The solid black precipitate of amorphous iron particles was magnetically separated and washed with water and acetone.

2.2. Differential Scanning Calorimetry and X-ray Diffraction Differential scanning calorimetry (DSC) measurements were performed on a STA 449 F1 (Netzsch, 1 5 Selb, Germany), from 25 ◦C (room temperature, RT) to 700 ◦C at 10 ◦C min− under 10 Pa of Ar flow. Powder X-ray diffraction (XRD) patterns were recorded on a Bruker (Billerica, MA, USA) D2 Phaser powder θ–θ diffractometer equipped with a Cu Kα (λ = 1.54 Å) source and a Lynxeye detector within the 2θ range of 15–90◦, step size 0.05◦, and time per step of 1 s. The average crystal size was determined by Scherrer equation, and the LaB6 standard was used to obtain the instrumental broadening [26]. Crystals 2020, 10, 41 3 of 13

2.3. Conventional and In Situ Heating Transmission Electron Microscopy In order to determine their shape and size distribution, the particles were drop casted after dispersion in ethanol which was then let to evaporate on a TEM grid covered with a thin amorphous carbon film acting as mechanical support (TedPella, Redding, CA, USA). Transmission electron microscopy (TEM) bright field (BF) imaging of the starting material was performed by using a FEI Tecnai Microscope (Eindhoven, The Netherlands) operating at an acceleration voltage of 120 kV, equipped with a thermionic LaB6 electron source, an objective twin lens and a Gatan (Pleasanton, CA, USA) Orius CCD Camera. The in situ TEM was performed by using a FEI Titan Microscope (Eindhoven, The Netherlands) operating at an acceleration voltage of 300 kV, equipped with an ultra-bright Schottky (X-FEG) electron source, a cryo-twin objective lens, and a Gatan 4k 4k CCD × Camera. The in situ TEM experiment was performed by using a MEMS (microelectromechanical system)-based ultra-low drift heating holder from DensSolution (Delft, The Netherlands), which mounts MEMS chips commercially provided by the same producer, and made by a nitride film with a heating and a thermo-resistive-based spiral. Elliptical, thin, electron-transparent windows were fabricated between the two spirals and were used as regions of interest where the deposited particles could be heated and imaged. This kind of heating MEMS chip has a thermal accuracy higher than 0.1 ◦C; a lateral drift lower than 5 nm both after a rapid thermal increase of several hundreds of degrees and at constant temperature, the latter intended per hour of experiment; and a maximum heating temperature of 1200 ◦C. Before performing the in situ heating experiment, the sole sample holder (with no MEMS-based heating chip inserted) was cleaned for 15 min by a Gatan Solarus plasma cleaner, using a mix of O2 and H2 and with a power of 50 W. Then, a MEMS-based heating chip was inserted in the sample holder, and before the deposition of the sample, it was again plasma cleaned for further 2 min, with the same gas mix at a power of 20 W. The crystallization of the sample was monitored while heating the MEMS under selected area electron diffraction (SAED) geometry, after choosing and following a group of few tens of particles and imaging their electron diffraction pattern (EDP). In order to minimize the loss of focus due to the thermal bulging of the MEMS during heating, the starting temperature was chosen to be equal to 200 ◦C, where the z-height of the sample was adjusted keeping 1 it in eucentric focus conditions. Then, the sample was first heated with a thermal ramp of 10 ◦C min− and the bulging-related loss of focus was counterbalanced by continuously adjusting it during all heating ramps. Once the EDP started showing diffraction spots caused by the particles’ crystallization (550 ◦C), the temperature was quickly lowered to 200 ◦C to temporarily stop the crystallization; then, a BF and the corresponding on-axis dark field (DF) images were taken, selecting an EDP area by using an objective diaphragm of 50 µm in size and switching the microscope from diffraction to imaging mode and vice versa. The temperature of the sample was quickly raised again to the starting crystallization 1 temperature, and from there, constantly increased up to 800 ◦C, still with a rate of 10 ◦C min− . At 600 and 800 ◦C, the temperature ramp was shortly paused in order to acquire an EDP, a BF, and the corresponding on-axis DF TEM image in isothermal conditions. The thermal ramp followed during the in situ TEM experiment is graphically summarized in Figure1. Crystals 2020, 10, 41 4 of 13 Crystals 2020, 10, x FOR PEER REVIEW 4 of 13

FigureFigure 1.1. ThermalThermal ramp followed during thethe inin situsitu heatingheating TEMTEM experiment.experiment. Both startingstarting crystallization temperature (TC), and the ensuing temperatures where electron diffraction pattern crystallization temperature (TC), and the ensuing temperatures where electron diffraction pattern (EDP), bright field (BF), and the corresponding dark field (DF) were acquired, are indicated by arrows. (EDP), bright field (BF), and the corresponding dark field (DF) were acquired, are indicated by arrows. More details are given in the results section. More details are given in the results section. 3. Results 3. Results The TEM image reported in Figure2a shows that the as-prepared sample is almost entirely constitutedThe TEM of chain-like image reported clusters in of Figure interconnected 2a shows spheroidal that the particlesas-prepared with sample a broad is size almost distribution, entirely rangingconstituted from of chain-like 80 to 200 nm.clusters The of distribution, interconnected generated spheroidal by particles measuring with the a broad size of size more distribution, than 100 nanoparticles,ranging from was80 to fitted 200 bynm. a log-normalThe distribution, function gene (Figurerated2 b),by whichmeasuring is well-known the size of to more provide than good 100 fitsnanoparticles, for most of was small fitted particles by a log- distributionsnormal function [27,28], (Figure and which 2b), gavewhich a particlesis well-known log-normal to provide mean good size offits 114 for nm.most The of small TEM particles image at distributions higher magnification [27,28], and (Figure which2c) gave shows a particles the spheroidal log-normal shape mean of thesize ironof 114 particles nm. The and TEM also image highlights at higher the magnification presence of a quite (Figure limited 2c) shows amount the of spheroidal precursor shape residuals of the (sheet iron structures)particles and surrounding also highlights some the among presence the particles. of a quite Their limited amorphous amount characterof precursor is evidenced residuals by(sheet the XRDstructures) patterns surrounding of the sample some (Figure among2d), the where particles. the absence Their ofamorphous sharp peaks character together iswith evidenced the presence by the ofXRD a broad patterns halo of in the the sample low-angle (Figure range 2d), clearly where indicate the absence that theof sharp freshly peaks synthesized together particles with the possesspresence a glassyof a broad structure halo thatin the is low-angle still maintained range after clearly two indi monthscate that of air the exposure. freshly synthesized As stated in particles the abstract, possess this indicatesa glassy structure that the particles that is still are ma stableintained against after oxidation two months over of a long air exposure. time period. As stated in the abstract, this indicates that the particles are stable against oxidation over a long time period.

Crystals 2020, 10, 41 5 of 13 Crystals 2020, 10, x FOR PEER REVIEW 5 of 13

FigureFigure 2. 2.Amorphous Amorphous iron iron particles: particles: (a) overall (a) overall BF TEM BF images; TEM (bimages;) the corresponding (b) the corresponding size distribution, size fitteddistribution, with a log-normal fitted with function;a log-normal (c) magnified function; BF(c) TEMmagnified image BF of theTEM zone image surrounded of the zone by surrounded a rectangle inby panel a rectangle (a); (d) in powder panel XRD(a); (d patterns) powder of XRD the same patterns sample, of the acquired same sample, both just acquired after the both sample just synthesis after the (freshsample sample, synthesis lower (fresh pattern) sample, and lower after twopattern) months and in after air. two months in air.

DSCDSC analysisanalysis underunder ArAr waswas performedperformed toto studystudy thethe thermal thermal behavior behaviorof of the the sample. sample. FigureFigure3 a3a showsshows an an exothermic exothermic peak peak centered centered at 465 at ◦465C, due °C, todu thee to crystallization the crystallization of the amorphous of the amorphous iron particles iron intoparticles polycrystalline into polycrystallineα-Fe, a phenomenon α-Fe, a phenomenon that occurs inthat similar occurs fashion in similar to what fashion was describedto what was for analogousdescribed materialsfor analogous in [18 materials–21]. The in structural [18–21]. The evolution structural of theevolution sample of with the temperaturesample with temperature is shown in Figureis shown3b, in where Figure the 3b XRD, where patterns the XRD of thepatterns particles of the treated particles at di treatedfferent at temperatures different temperatures under N2 underinert atmosphereN2 inert atmosphere are reported are andreported compared and compared with the one with of the as-preparedone of the as-prepared sample at RT. sample The very at RT. sharp The peaksvery sharp corresponding peaks corresponding to crystalline toα crystalline-Fe Powder α-Fe Di ffPowderraction Diffraction File (PDF) cardFile (PDF) of Fe, card numbers of Fe, 6–696) numbers in the6–696) XRD in pattern the XRD of thepattern sample of the treated sample at 500 treated◦C confirm at 500 that°C confirm the crystallization that the crystallization of the amorphous of the ironamorphous particles iron took particles place below took thatplace temperature, below that temperature, and is in accordance and is in to accordance what indicated to what by indicated the DSC peak.by the Besides, DSC peak. at 500 Besides,◦C few at minor 500 °C XRD few peaks minor with XRD lower peaks intensity with lower were observedintensity andwere ascribed observed to theand formationascribed to of ironthe formation borides similarly of iron to borides those observed similarly in to [21 those] (PDF observed card of Fein2 B,[21] numbers (PDF card 72–1301 of Fe and2B, ofnumbers Fe3.5B, numbers72–1301 and 34–1032). of Fe3.5B, The numbers appearance 34–1032). of iron The borides appearance allows of speculating iron borides on allows the origin speculating of the stabilityon the origin of the of particles the stability over of time the againstparticles their over possible time against oxidation. their possible Indeed, suchoxidation. a stability Indeed, could such be a likelystability ascribed could to be the likely presence ascribed of a not to negligiblethe presence amorphous of a not layernegligible constituted amorphous mainly layer of constituted coming frommainly the of material boron coming synthesis from and the covering material the synthesis whole and particle’s covering surface the whole [20,21 ].particle’s Upon heating, surface such[20,21]. a layerUpon seems heating, to crystallize such a layer as anseems to with crystallize some iron, as an quite alloy similarly with some to what iron, described quite similarly by Yang to etwhat al. indescribed [21]. Besides, by Yang upon et al further. in [21]. increase Besides, of upon the thermal further increase treatment of temperature,the thermal treatment the width temperature, of all XRD peaksthe width decreases of all dueXRD to peaks the increase decreases of thedue size to the ofthe increaseα-Fe crystallineof the size domains,of the α-Fe as crystalline also pointed domains, out by theas Scherreralso pointed equation out by applied the Scherrer to the {100} equation reflection, applie whosed to the estimate {100} ofreflection the mean, whose size of estimate the coherently of the dimeanffracting size domainsof the coherently is reported diffracting in Table 1domains[ 26]. It shouldis reported be noted in Table that 1 above [26]. It 600 should◦C this be calculatednoted that meanabove size 600 approaches°C this calculated the maximum mean size size approaches of the particles, the maximum until exceeding size of the it particles, at 800 ◦C until (Table exceeding1). This trend,it at 800 culminating °C (Table 1). with This the trend, result culminating obtained at with 800 ◦ theC, indicates result obtained that some at 800 coalescence °C, indicates likely that occurs some coalescence likely occurs among them at high temperature, finally giving rise to crystal domains with a larger size than that of the biggest starting iron particles. Moreover, in the samples treated at 600,

Crystals 2020, 10, 41 6 of 13 among them at high temperature, finally giving rise to crystal domains with a larger size than that ofCrystals the biggest2020, 10, x starting FOR PEER iron REVIEW particles. Moreover, in the samples treated at 600, 700, and 800 ◦C,6 of the 13 iron borides’ peaks disappear and the diffraction patterns are strongly dominated by the α-Fe peaks, suggesting700, and 800 that, °C, the likely, iron these borides’ phases peaks are disappear poorly stable and andthe diffraction located on patterns the particles are strongly surface. dominated Finally, at 600,by the 700, α-Fe and peaks, 800 ◦C, suggesting very weak that, peaks likely, are alsothese present, phases whichare poorly might stable be respectively and located attributed on the particles to iron boratesurface. oxide Finally, and at boric 600, 700, acid and [29] 800 (PDF °C, card very of weak H3BO peaks3, numbers are also 30–0199present, andwhich of might Fe2(BO be3)O, respectively numbers 79–2433)attributed impurities, to iron borate still possiblyoxide and originating boric acid from [29] the (PDF precursors’ card of H surficial3BO3, numbers residues 30–0199 crystallizing and atof highFe2(BO temperature.3)O, numbers 79–2433) impurities, still possibly originating from the precursors' surficial residues crystallizing at high temperature.

Figure 3.3. (a(a)) DSC DSC measurement measurement of theof the as-prepared as-prepare amorphousd amorphous iron particlesiron particles and (b )and their (b XRD) their patterns XRD togetherpatterns withtogether the samewith samplethe same after sample thermal afte treatmentr thermal at 500,treatment 600, 700, at and 500, 800 600,◦C, 700, respectively. and 800 °C, Tablerespectively. 1. Evolution of the mean α-Fe crystal domain size, as determined by applying the Scherrer equation [26] to the {100} peak of α-Fe. Table 1. Evolution of the mean α-Fe crystal domain size, as determined by applying the Scherrer equation [26] to the {100} peakSample of α-Fe. Temperature XRD (nm) 500 C 55 1 ◦ (nm)± Sample600 TemperatureC XRD 110 4 ◦ ± 700500C °C 55 ± 1801 14 ◦ ± 800 C° 320 22 600◦ C 110 ± 4 ± 700 °C 180 ± 14 The crystallization was then monitored800 °C by an in situ TEM 320 ± approach 22 following the experimental procedureThe crystallization reported in Materials was then and monitored Methods by and an whosein situ thermalTEM approach ramp is following summarized the inexperimental Figure1.A groupprocedure of particles reported to in be Materials imaged during and Methods the thermal and rampwhose was thermal chosen ramp at RT. is Figuresummarized4a shows in theFigure TEM 1. BFA group image of of particles the selected to be group, imaged while during the inset the thermal displays ramp the corresponding was chosen at EDP RT. obtainedFigure 4a by shows selecting the withTEM aBF SAED image diaphragm of the selected only the group, area containing while the thatinset group. displays The the absence corresponding of any spot EDP in the obtained diffraction by patternselecting indicates with a SAED that thediaphragm particles only are the in aarea fully containing glassy state. that group. Figure 4Theb shows absence the of corresponding any spot in the on-axisdiffraction DF TEMpattern image, indicates taken that as a referencethe particles for theare particlesin a fully in theglassy amorphous state. Figure state, 4b and shows which, the as expected,corresponding does on-axis not show DF the TEM formation image, taken of any as crystal a reference domain. for the This particles DF image in the was amorphous recorded whilestate, usingand which, an objective as expected, diaphragm does ofnot 50 showµm inthe size, formation placed inof theany zone crystal of electrondomain. diThisffractogram DF image where was therecorded most intensewhile using spots ofanα -Feobjective (corresponding diaphragm to theof 50 {110} μm lattice in size, set, placed with interplanar in the zone distance of electron equal todiffractogram 2.03 Å) could where be expected. the most Due intense to both spots the of size α-Fe of the(corresponding objective diaphragm to the {110} and thelattice closeness set, with of theinterplanar {110} lattice distance set position equal toto the 2.03 di ffÅ)used could ring be corresponding expected. Due to the to amorphousboth the size halo of observed the objective in the XRDdiaphragm patterns, and an the unavoidable closeness of contribution the {110} lattice of the set electron position scattered to the diffused at low angles ring corresponding by both the particles to the andamorphous the silicon halo nitride observed substrate in the becameXRD patterns, part of an the un DFavoidable images contribution in form of a uniform,of the electron slightly scattered bright background.at low angles Then,by both the the temperature particles and was the fast silicon raised nitride to 200 ◦substrateC (in less became than 1 min)part andof the the DF sample images was in form of a uniform, slightly bright background. Then, the temperature was fast raised to 200 °C (in less than 1 min) and the sample was prepared for the temperature ramp: after checking that it was still in an amorphous state, it was placed again at the eucentric height in order to partially minimize its expected change in height caused by the MEMS bulging during the further thermal increase. Starting from that temperature, the sample was heated with a rate of 10 °C min−1 under the high

Crystals 2020, 10, 41 7 of 13 prepared for the temperature ramp: after checking that it was still in an amorphous state, it was placed again at the eucentric height in order to partially minimize its expected change in height caused by the MEMS bulging during the further thermal increase. Starting from that temperature, the sample was heated with a rate of 10 C min 1 under the high vacuum conditions of the TEM column, and the Crystals 2020, 10, x FOR PEER REVIEW◦ − 7 of 13 MEMS bulging effect was compensated by only using the microscope focus. Figure4c shows the BF vacuumTEM image conditions recorded of at the 500 TEM◦C withcolumn, the particlesand the MEMS constituting bulging the effect group was still compensa in the amorphousted by only state, using as theindicated microscope by the focus. absence Figure of any 4c di ffshowsraction the spot BF in TE theM corresponding image recorded EDP at reported 500 °C inwith the the panel’s particles inset. constitutingHowever, if the compared group still with in thethe imageamorphous acquired state, at as RT, indicated a less dense, by the clearlyabsence visible, of any thickdiffra shellction nowspot insurrounds the corresponding the particles in EDP the group, reported likely in due the to the panel’ thermals inset. evolution However, of the surfaceif compared residuals with coming the imagefrom the acquired synthesis, at RT, and a whichless dense, could clearly be where visible, the thick iron she borides 3. form upon annealing, as detected by XRD and reported in Figure3.

Figure 4. Group of amorphous iron particles after depositiondeposition on the heating MEMS-based sample holder: ( (aa)) BF BF TEM TEM image image of of the the particle particle group group at at RT, RT, with the the corresponding corresponding EDP (inset); ( b) DF TEM TEM reference image recorded at RT of the same amorphous particles imaged in (a); (a); the EDP zone selected α to form the DF image is centered around the expected position position of of the the most most intense intense ED ED peak peak of of α-Fe,-Fe, corresponding toto thethe {110}{110} lattice lattice set, set, with with interplanar interplanar distance distance equal equal to to 2.03 2.03 Å; Å; (c) ( BFc) BF TEM TEM image image of the of the particle group at 500 °C, with the corresponding EDP (inset). particle group at 500 ◦C, with the corresponding EDP (inset).

The evolutionevolution ofof the the group group of of particles particles previously previously imaged imaged in Figure in Figure4 was 4 furtherwas further monitored monitored upon uponthermal thermal increase increase by looking by looking at its EDP. at its As EDP. shown As inshown Figure in5 a,Figure at 550 5a,◦C at very 550 weak °C very spots weak appeared spots appearedon the EDP on and the theEDP temperature and the temperature was immediately was i loweredmmediately to 200 lowered◦C to freezeto 200 the °C crystallization,to freeze the whichcrystallization, means that which the means maximum that temperaturethe maximum reached temperature during reached the thermal during ramp the wasthermal around ramp 552 was◦C. aroundHowever, 552 once °C. theHowever, crystallization once the started, crystallization it progressed started, very it progressed fast in the fewvery seconds fast in neededthe few toseconds lower neededthe temperature to lower the of 350temperature◦C and gave of 350 rise °C to and a more gave advanced rise to a more degree advanced of crystallization, degree of crystallization, as denoted by asthe denoted corresponding by the EDPcorresponding evolution shownEDP evolution in Figure show5b andn in acquired Figure at5b 200 and◦ C.acquired Figure5 ate also200 shows°C. Figure the 5eline also profiles shows extracted the line byprofiles integrating extracted the correspondingby integrating EDPthe corresponding on the main rings EDP containing on the main the ringsα-Fe containingED spots. Thesethe α-Fe profiles ED spots. were These obtained profiles after were an integration obtained after and an fitting integration procedure and that fitting also procedure took into thataccount also thetook subtraction into account of the the subtraction EDPs’ background. of the EDPs’ Since background. all EDPs contain Since al fewl EDPs spots contain rather few than spots full rathercircles than due tofull the circles limited due number to the limited of particles number included of particles in the included selected EDin the area, selected the intensity ED area, peaks the intensityresulting peaks from theresulting integration from the procedure integration can procedure only be used can toonly identify be used the to positions identify the of thepositions spots of in the spots reciprocal in the space, reciprocal but no space, further but quantitativeno further quantitative information, information, nor intensity nor ratio intensity could ratio be extracted. could be extracted.That being That said, being it is worth said, it noting is worth that noting while thethat weak while spots the weak in the spots EDP shownin the EDP in Figure shown5a in could Figure be 5aascribed could be to ascribed the sole EDto the peak sole corresponding ED peak corresponding to the {110} to lattice the {110} set lattice of α-Fe, set with of α-Fe, interplanar with interplanar distance distanceequal to 2.03equal Å, to Figure 2.03 Å,5b Figure shows more5b shows intense more spots. intense Their spots. corresponding Their corresponding distancesin distances the reciprocal in the reciprocalspace are ascribedspace are to ascribed most of to the most expected of the reflectionsexpected reflections of α-Fe, namely, of α-Fe, {110}, namely, {111}, {110}, {211}, {111}, and {211}, {220}, whereand {220}, the {111}where is the present {111} due is present to electron due ditoff ractionelectron dynamical diffraction e ffdynamicalects. This result,effects. inThis combination result, in withcombination the absence with ofthe further absence peaks, of further confirmed peaks, the confirmed global indications the global providedindications by provided XRD; namely, by XRD; the namely,formation the of formation the sole α of-Fe, the and sole the α-Fe, absence and the of otherabsence products of other of produc crystallization,ts of crystallization, such as other such iron as other iron allotropes, iron oxides, and iron carbide. Since the EDP reported in Figure 5b was acquired right after the fast thermal decrease from 550 to 200 °C required to stop the iron crystallization, the presence of all the above-reported reflections means that once the crystallization of the glassy iron particles started, it took a very short time (a few seconds) for the just-nucleated crystal domains to grow in size before the temperature dropped. The same reflections indexed in the EDP acquired after the thermal decrease at 200 °C were found once again when the sample was heated to 600 °C (Figure 5c) and 800 °C (Figure 5d), with the latter even showing a very weak trace of the {200} reflection. Crystals 2020, 10, 41 8 of 13 allotropes, iron oxides, and iron carbide. Since the EDP reported in Figure5b was acquired right after the fast thermal decrease from 550 to 200 ◦C required to stop the iron crystallization, the presence of all the above-reported reflections means that once the crystallization of the glassy iron particles started, it took a very short time (a few seconds) for the just-nucleated crystal domains to grow in size before the temperature dropped. The same reflections indexed in the EDP acquired after the thermal decreaseCrystals 2020 at, 20010, x◦ FORC were PEER found REVIEW once again when the sample was heated to 600 ◦C (Figure5c) and 8008 of◦ C13 (Figure5d), with the latter even showing a very weak trace of the {200} reflection. Besides, it should be notedBesides, that it theshould presence be noted of di thatfferent the spotspresence corresponding of different to spots thesame corresponding interplanar to distances the same (i.e., interplanar having thedistances same distance (i.e., having from the the same center distance of the difromffraction the ce patternnter of the in reciprocal diffraction space) pattern in Figurein reciprocal5b–d clearly space) indicatesin Figure the5b–d formation clearly indicates of multiple theα formation-Fe crystal of domains multiple with α-Fe di crystalfferent domains spatial orientations. with different spatial orientations.

FigureFigure 5.5. SelectedSelected area area EDP EDP of of the the same same group group of amorphousof amorphous iron iron particles particles imaged imaged in Figure in Figure4:( a) 4: EDP (a) recordedEDP recorded right afterright theafter first the trace first oftrace crystallization of crystallization appeared, appeared, at 550 at◦C; 550 (b )°C; EDP (b) recorded EDP recorded at 200 at◦C, 200 a few°C, a seconds few seconds after the after crystallization the crystallization observed observed in panel in (panela) had (a) started; had started; (c) EDP (c recorded) EDP recorded at a steady at a temperaturesteady temperature of 600 ◦ ofC, 600 after °C, quickly after quickly raising raisin the temperatureg the temperature from 200 from to 550200 ◦toC, 550 and °C, from and 550 from up 550 to 1 600up to◦C 600 with °C a with rate ofa 10rate◦C of min 10 −°C;( mind) EDP−1; (d recorded) EDP recorded at a steady at a temperaturesteady temperature of 800 ◦C, of after800 °C, a thermal after a 1 increasethermal fromincrease 600 upfrom to 600 800 ◦upC withto 800 a rate°C with of 10 a◦ Crate min of− 10;( e°C) linemin profiles−1; (e) line extracted profiles by extracted the integration by the ofintegration the EDPof of panels the EDP (a– dof) performedpanels (a–d) on pe therformed main rings on the containing main rings the containingα-Fe ED spots. the α Reflections-Fe ED spots. of αReflections-Fe corresponding of α-Fe corresponding to the peaks are to indicated the peaks by are dashed indicated lines by for dashed better lines clarity. for better clarity.

FigureFigure6 6displays displays both both BF BF and and the the corresponding correspondi on-axisng on-axis DF TEM DF TEM images images acquired acquired selecting selecting some α µ EDsome spots ED belongingspots belonging to the to {100} the reflection{100} reflection of -Fe of withα-Fe anwith objective an objective diaphragm diaphragm of 50 ofm 50 in μ size.m in size. The imagesThe images reported reported in Figure in Figure6a,b were 6a,b acquired were acquired while the while sample the wassample at 200 was◦ Cat after 200 the°C fastafter decrease the fast fromdecrease 550 ◦fromC, while 550 °C, Figure while6c,d Figure report 6c,d the report BF /DF the images BF/DF recorded images recorded at a steady at a temperature steady temperature of 600 ◦ C,of after600 °C, quickly after quickly raising theraising temperature the temperature to 550 ◦ Cto and550 increasing°C and increasing it from 550it from up to550 600 up◦ Cto with600 °C a ratewith of a 1 10rate◦C of min 10− °C. Finally,min−1. Finally, Figure6 Figuree,f show 6e,f the show BF /DF the images BF/DF ofimages the same of the particles same particles at 800 ◦C, at after 800 °C, a thermal after a 1 increasethermal fromincrease 600 upfrom to 800600 ◦upC, againto 800 with °C, the again same with rate the of 10 same◦C min rate− .of The 10 careful°C min observations−1. The careful of bothobservations BF and DF of imagesboth BF reported and DF in images Figure 6reported allows makingin Figure several 6 allows considerations making several about considerations the evolution ofabout the particlesthe evolution upon of the the structural particles change upon the of the struct ironural phase. change First, of comparingthe iron phase. their First, BF TEM comparing images recordedtheir BF TEM at 500 images◦C (before recorded the crystallization, at 500 °C (before Figure the4 c)crystallization, with those recorded Figure at4c) 550 with◦C those makes recorded clear that at their550 °C overall makes shape clear did that not their change overall significantly shape did afternot change the crystallization significantly had after started, the crystallization even though had the DFstarted, images even indicate though that the multiple DF images crystal indicate domains that appearedmultiple crystal in some domains smaller appeared particles. Second,in some asmaller much moreparticles. marked Second, evolution a much was more observed marked going evolution from was 550 upobserved to 600 ◦goingC in bothfromBF 550 and up DFto 600 imaging: °C in both DF imagesBF and showDF imaging: an apparent DF images increase show in number an apparent and size increase of the in crystal number domains, and size while of the the crystal coalescence domains, of thewhile smaller the coalescence particles in of the the upper smaller right particles and central-left in the upper sides right of their and group central-left could sides be clearly of their observed group could be clearly observed both in BF and DF. Concomitantly, the original chain-like shape of the group, which was still observable at 550 °C, was lost at 600 °C, and some long crystal domains became evident in the coalesced particles of the upper right side of the group. This evidence is in accordance with what was already indirectly observed by the XRD-based estimate of the particles mean size; i.e., the size of the crystal domains increases with temperature, even if this phenomenon here occurs at lower temperatures than those previously observed by XRD, and exceeds the size of the biggest original particles.

Crystals 2020, 10, 41 9 of 13 both in BF and DF. Concomitantly, the original chain-like shape of the group, which was still observable at 550 ◦C, was lost at 600 ◦C, and some long crystal domains became evident in the coalesced particles of the upper right side of the group. This evidence is in accordance with what was already indirectly observed by the XRD-based estimate of the particles mean size; i.e., the size of the crystal domains increases with temperature, even if this phenomenon here occurs at lower temperatures than those previouslyCrystals 2020, observed10, x FOR PEER by XRD,REVIEW and exceeds the size of the biggest original particles. 9 of 13

Figure 6. BF and DF TEM images of the same group of am amorphousorphous iron particles imaged in Figure 44,,

acquired: ( a,,b)) at at 200 °C◦C after a quick decrease from 550 °C;◦C; ( c,,d)) at a steady temperature of 600 °C,◦C, −1 after quickly raising the temperature toto 550550 ◦°C,C, andand fromfrom 550550 upup toto 600600 ◦°CC withwith aa raterate ofof 1010◦ °CC minmin− ;; (e,,f) atat aa steadysteady temperaturetemperature ofof 800800 ◦°C,C, after a thermalthermal increase from 600 up to 800 ◦°CC with the same 1 rate of 10 ◦°C min −1. .

Finally, goinggoing upup fromfrom 600600 toto 800800 ◦°C,C, thethe BFBF imagingimaging of the heatedheated particles indicates that some slight shape changechange occurredoccurred eveneven inin thethe biggerbigger ones, ones, while while the the corresponding corresponding DF DF imaging imaging indicates indicates a furthera further but but quite quite limited limited increase increase of the of crystal the domains’crystal domains’ size for thesizeα -Fe,for apparentlythe α-Fe, lessapparently pronounced less thanpronounced what was than observed what was through observed the XRD-basedthrough the mean XRD-based size estimate. mean size estimate.

4. Discussion 4. Discussion In the previous chapter we described how the ex situ (by XRD, after DSC under inert pressure) In the previous chapter we described how the ex situ (by XRD, after DSC under inert pressure) and in situ (by selected area ED, BF, and DF TEM, under high vacuum conditions) crystallization of and in situ (by selected area ED, BF, and DF TEM, under high vacuum conditions) crystallization of amorphous iron particles occurred. As some important differences were noticed when this phenomenon amorphous iron particles occurred. As some important differences were noticed when this was investigated following the two above-mentioned approaches, some main points deserve to be phenomenon was investigated following the two above-mentioned approaches, some main points discussed: (a) the difference in temperature corresponding to the start of the α-Fe crystallization, deserve to be discussed: (a) the difference in temperature corresponding to the start of the α-Fe as measured by DSC under 105 Pa of Ar (465 C), and under the high vacuum conditions of the crystallization, as measured by DSC under 10◦5 Pa of Ar (465 °C), and under the high vacuum TEM column (550 C); (b) the increase in mean size of the nucleated crystal domains, which looked conditions of the TEM◦ column (550 °C); (b) the increase in mean size of the nucleated crystal domains, slower when the sample was heated and crystallized under the above-mentioned DSC/XRD pressure which looked slower when the sample was heated and crystallized under the above-mentioned conditions, and faster when the crystallization was triggered upon the high vacuum ones by in DSC/XRD pressure conditions, and faster when the crystallization was triggered upon the high situ TEM. vacuum ones by in situ TEM. The starting temperature (465 °C) for the amorphous→crystal phase transition, as found by DSC and further confirmed by a posteriori XRD structural analysis, was similar to what was reported in [18–21]. Indeed, the materials were prepared and their transitions were thermally studied following routes analogous to the ones reported in the literature mentioned above. However, when the same crystallization phenomenon was monitored by in situ TEM, the external pressure decreased from the values typical of a DSC experiment (105 Pa) down to those usually expected inside a FEG-TEM microscope’s column (about 10−4 Pa). The influence of the external pressure on the crystallization of formerly amorphous materials has been previously studied, and some papers [30–34] showed that in

Crystals 2020, 10, 41 10 of 13

The starting temperature (465 C) for the amorphous crystal phase transition, as found by ◦ → DSC and further confirmed by a posteriori XRD structural analysis, was similar to what was reported in [18–21]. Indeed, the materials were prepared and their transitions were thermally studied following routes analogous to the ones reported in the literature mentioned above. However, when the same crystallization phenomenon was monitored by in situ TEM, the external pressure decreased from the values typical of a DSC experiment (105 Pa) down to those usually expected inside a FEG-TEM 4 microscope’s column (about 10− Pa). The influence of the external pressure on the crystallization of formerly amorphous materials has been previously studied, and some papers [30–34] showed that in amorphous alloys, an increase of the external pressure could retard the beginning of the crystallization, thereby increasing its starting temperature, which is the opposite to what we report here. This occurrence is normally ascribed to the pressure effect on the atomic diffusion during the crystallization. Indeed, the pressure should unavoidably limit the atomic diffusion, thereby retarding the beginning of crystallization. However, further reports (see, for instance, [34]) showed that the atomic diffusion cannot be always invoked as the dominant mechanism in the crystallization of an amorphous material, and finally, it was also shown that in some cases the pressure increase could bring a reduction of crystallization temperature [35], as occurred in our case. In more detail, the crystallization of an is usually regarded as a two steps process; namely, crystal domain nucleation and subsequent growth. Thus, when some crystal nuclei are formed in the surrounding amorphous matrix, a crystal-to-amorphous interface is also developed simultaneously. If, like in our case, a decrease in the external pressure gives rise to a marked increase in the crystallization temperature, it is evident that this hindrance could not be caused by atomic motion, which should be favored by a pressure reduction. Then, the origin of what occurred has to be searched in the thermodynamics ruling, the formation of the initial crystal nuclei, and their subsequent growth. Thus, from a thermodynamic point of view, the free energy variation related to the formation of a spherical, crystal nucleus in a surrounding amorphous matrix is given by the following equation [35]:

1 ∆G(T, P) = πd3(∆G + E) + πd2γ + P∆V, (1) 6 ν where d is the crystal nucleus’ diameter, ∆Gν the free energy variation for forming the unit volume of crystal phase, E the elastic energy due to the change in volume related to the amorphous crystal → transformation, γ the energy associated to the crystalline/amorphous interface formation, and ∆V the actual volume variation when a crystal nucleus is created from the amorphous state. The latter term is the only one related to the applied pressure P during the phase transformation. In other words, ∆G(T, P) represents the energy barrier to overcome by heating the sample for the crystal nucleation to take place. In fact, at the beginning of nucleation, the first two terms of Equation (1) are positive, while the third one could be either positive or negative depending on the fact that the crystallization of a given mass of amorphous material into a crystal nucleus determines an increase or decrease in volume. Even though measuring such a volume change was not directly possible for our sample, from the experimentally observed increase in crystallization temperature with a pressure diminution, it is a strong indication that this change had to be negative. Indeed, the negative contribution to the free energy change given by the negative ∆V is modulated by the p value that multiplies it: the higher the pressure value, the higher the modulus of the negative term, and, consequently, the lower the overall ∆G(T, P) term that must be thermally overcome to start the formation of crystal nuclei. Since the difference in pressure between the TEM vacuum conditions and the ambient pressure where the DSC experiment was performed was about nine orders of magnitude, this likely small negative change in volume could give rise to a dramatic lowering of the free energy required for the formation of small crystal nuclei, and, as a consequence, of the temperature needed to start the crystallization. Once these small nuclei were formed, the atomic motion promotes their growth. On the other hand, in this case the pressure is expected to play an opposite role, since it reduces the atomic motion, and consequently, the thermally induced growth of the crystal nuclei. This is in good agreement with what Crystals 2020, 10, 41 11 of 13 we observed by comparing the growth of crystal domains after a thermal increase at 105 Pa (in the 4 DSC/XRD experiments) and at around 10− Pa (in the TEM column). Indeed, we noticed that for the most part, the crystal domains’ growth observed in the TEM occurred in the interval between 550 and 600 ◦C; further heating up to 800 ◦C seems to have a rather limited effect in promoting an additional growth of the domains. Conversely, when the thermal increase was promoted at ambient pressure during the DSC experiment, the XRD-based mean size analysis reported in Table1 clearly indicates that the higher pressure retarded the growth of crystal domains, which proceeded continuously while the temperature increased. With regard to this, the difference observed between the thermally-increasing size of the crystal domains, as indirectly measured by XRD and directly by DF TEM imaging, must also be noted. In fact, the maximum size reached by the α-Fe crystal domains, as determined by XRD, looks much higher than the one reached during the in situ heating experiment. However, differently from what occurs in an XRD experiment, the TEM requires a thin sample (i.e., its thickness must be sufficiently low to permit the passage of electrons through the volume) to provide any kind of imaging (BF, DF, and EDP). In the present case the scattering due to atomic number is basically constant, as the sample is constituted by only iron, but the maximum size of the iron particles is close to 200 nm. This means that the electron beam might be required to pass through objects several hundreds of nanometers thick in case of superposition or thermally-driven coalescence of iron particles. Multiple scattering and absorption become increasingly likely for these thickness values, thereby hindering the analytical capability of TEM. That is apparent when looking at the largest particles shown in Figures4 and6, where no crystal domain can be detected. On the other hand, thickness limitations do not affect the XRD, which can successfully account for bigger particles during size measurement. Finally, similarly to what reported in our previous work [22] and in [36,37], an electron beam contribution to the crystallization cannot be neglected a priori, since in principle it could further promote the fast growth of crystal domains once their nucleation kicks off. Indeed, the electron beam energy is well-known to promote atomic displacements by knock-on effect; i.e., a further support to the atomic motion needed for the crystal domains’ growth. However, since the contribution of this effect is mainly ascribed to crystallization processes triggered by atomic motion, which does not seem to be the present case, it will be meaningful investigating the actual consequence of an electron beam energy change on the crystallization phenomenon we explained in the present work. Thus, the results described here represent a first step in the study of the crystallization mechanism of amorphous iron particles. Additional experiments will have to be performed to confirm and further clarify the outcomes shown here. Thus, extra in situ-gas heating TEM studies of the particles crystallization under diverse pressure conditions of inert gases, should provide more reliable information on the volume change reported in Equation (1), which is supposed to act as main factor in controlling the increase of the starting temperature of crystallization observed in the presence of a pressure diminution. As well, changing the electron beam energy, while keeping fixed the in situ pressure conditions of the heating experiment, should allow one to determine its possible influence on the overall development of α-Fe crystals’ domains.

5. Conclusions To the best of our knowledge, this is the first work devoted to the study of amorphous iron particles’ crystallization under diverse pressure conditions and by using both a DSC/XRD-based and an in situ TEM approach. We reported here that the pressure played an essential role in determining both the starting crystallization temperature and the following growth of multiple crystal domains of α-Fe in the original amorphous iron particles. In particular, the most relevant result here described lies in the apparent and marked increase of kick-off temperature of crystal nucleation as a consequence of a very pronounced reduction of the pressure. However, once the small crystal domains’ nucleation occurred, the pressure seemed to act as a hindering factor for the growth of the crystal domains by limiting the atomic motion. Finally, the exact chemical nature of the shell surrounding the particles and protecting them from oxidation, which according to literature could likely be a boron-based Crystals 2020, 10, 41 12 of 13 surficial layer, deserves future further study by dedicated, spatially resolved compositional techniques. Furthermore, the actual role played by the electron beam in both nucleation and growth of the α-Fe crystal domains will be studied in-depth by means of further, appropriate in situ TEM experiments.

Author Contributions: All in situ electron microscopy investigations were performed by A.F. and A.C. D.L. synthesized the , and performed both conventional TEM imaging, and DSC and XRD measurements. A.F. conceptualized the work and wrote the original draft of the paper, which was further edited and finalized together with D.L. and A.C. All authors have read and agreed to the published version of the manuscript. Funding: This research was supported by KAUST Baseline funding to Andrea Falqui. Conflicts of Interest: The authors declare no conflict of interest.

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