hydrothermal synthesis of hematitehigher [oh-] promotes growth of crystals by increasing the rate at...

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1 HYDROTHERMAL SYNTHESIS OF HEMATITE Clara Keng Hui Lin 1 , Chow Kit Mun 2 , Deborah Ho Yee Ying 3 , Koh Huan Kiat 3 1 Raffles Girls’ School (Secondary), 20 Anderson Road, Singapore 259978 2 River Valley High School, 6 Boon Lay Avenue, Singapore 649961 3 DSO National Laboratories, 20 Science Park Drive, Singapore 118230 ABSTRACT Monodisperse Hematite nanostructures of varying shapes and sizes have been produced via hydrothermal synthesis. The influence of the concentration of precipitating agent (NaOH) as well as the presence of foreign anions, on the size and morphology of Hematite synthesised were studied. Under varying [NaOH], Hematite (α-Fe 2 O 3 ) and Goethite (α-FeOOH) were obtained. At higher supersaturation, Ferrihydrite, a less-stable intermediate, first nucleated. Hematite converted from Ferrihydrite through an aggregation-dehydration-rearrangement mechanism; Goethite converted from Ferrihydrite via dissolution-reprecipitation. At lower supersaturation, it is proposed that the Hematite formed from forced hydrolysis of the ferric nitrate solution. It has been shown that anions control Hematite crystal growth by adsorbing preferentially on certain crystallographic planes, resulting in anisotropic crystal growth. In the presence of SO 4 2- , rhombohedral crystals were obtained at lower [SO 4 2- ] while pseudocubic crystals were obtained at higher [SO 4 2- ]. In the presence of PO 4 3- , ellipsoidal crystals were obtained with crystal growth clearly restricted in directions normal to the c-axis. The magnetic properties of the crystals synthesised were also studied. Coercivity of the particles was found to increase proportionally with size and vary with different morphologies. High coercivity to particle size ratios suggest potential applications in media recording and information storage devices. INTRODUCTION As a relatively low-cost, stable iron oxide phase, Hematite, α-Fe 2 O 3 , has been identified to be environmentally-friendly as well as an n-type semiconductor with a small band gap (E g = 2.1eV). Hematite is hence widely used in solar cells, catalysts, gas sensors, nanodevices and drug delivery, amongst other applications. Due to its non-toxicity and corrosion-resistance, Hematite has also been used in water splitting and environmental treatment [1,2] . The optical, magnetic, electrochemical and electrical properties of Hematite are largely shape- and size-dependent, which necessitates the controlled synthesis of monodisperse Hematite nanoparticles. There are a variety of techniques for Hematite synthesis, with those most commonly used being the sol-gel method developed by Sugimoto et al. [3,4] , microemulsion, hydrothermal synthesis and chemical precipitation [5] . In this project, hydrothermal synthesis was studied as a means to effectively control the size and shape of the Hematite nanostructures. Many studies suggest that Hematite is likely to be obtained through either hydrolysis of iron (III) solutions or interconversions from other iron oxide-hydroxide intermediates [6-9] .

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  • 1

    HYDROTHERMAL SYNTHESIS OF HEMATITE

    Clara Keng Hui Lin1, Chow Kit Mun

    2, Deborah Ho Yee Ying

    3, Koh Huan Kiat

    3

    1 Raffles Girls’ School (Secondary), 20 Anderson Road, Singapore 259978

    2 River Valley High School, 6 Boon Lay Avenue, Singapore 649961

    3 DSO National Laboratories, 20 Science Park Drive, Singapore 118230

    ABSTRACT

    Monodisperse Hematite nanostructures of varying shapes and sizes have been produced via

    hydrothermal synthesis. The influence of the concentration of precipitating agent (NaOH) as

    well as the presence of foreign anions, on the size and morphology of Hematite synthesised

    were studied.

    Under varying [NaOH], Hematite (α-Fe2O3) and Goethite (α-FeOOH) were obtained. At

    higher supersaturation, Ferrihydrite, a less-stable intermediate, first nucleated. Hematite

    converted from Ferrihydrite through an aggregation-dehydration-rearrangement mechanism;

    Goethite converted from Ferrihydrite via dissolution-reprecipitation. At lower

    supersaturation, it is proposed that the Hematite formed from forced hydrolysis of the ferric

    nitrate solution.

    It has been shown that anions control Hematite crystal growth by adsorbing preferentially on

    certain crystallographic planes, resulting in anisotropic crystal growth. In the presence of

    SO42-

    , rhombohedral crystals were obtained at lower [SO42-

    ] while pseudocubic crystals were

    obtained at higher [SO42-

    ]. In the presence of PO43-

    , ellipsoidal crystals were obtained with

    crystal growth clearly restricted in directions normal to the c-axis.

    The magnetic properties of the crystals synthesised were also studied. Coercivity of the

    particles was found to increase proportionally with size and vary with different morphologies.

    High coercivity to particle size ratios suggest potential applications in media recording and

    information storage devices.

    INTRODUCTION

    As a relatively low-cost, stable iron oxide phase, Hematite, α-Fe2O3, has been identified to be

    environmentally-friendly as well as an n-type semiconductor with a small band gap (Eg =

    2.1eV). Hematite is hence widely used in solar cells, catalysts, gas sensors, nanodevices and

    drug delivery, amongst other applications. Due to its non-toxicity and corrosion-resistance,

    Hematite has also been used in water splitting and environmental treatment [1,2]

    .

    The optical, magnetic, electrochemical and electrical properties of Hematite are largely

    shape- and size-dependent, which necessitates the controlled synthesis of monodisperse

    Hematite nanoparticles. There are a variety of techniques for Hematite synthesis, with those

    most commonly used being the sol-gel method developed by Sugimoto et al. [3,4]

    ,

    microemulsion, hydrothermal synthesis and chemical precipitation [5]

    . In this project,

    hydrothermal synthesis was studied as a means to effectively control the size and shape of the

    Hematite nanostructures. Many studies suggest that Hematite is likely to be obtained through

    either hydrolysis of iron (III) solutions or interconversions from other iron oxide-hydroxide

    intermediates [6-9]

    .

  • 2

    The morphology of Hematite particles has been shown to be controlled by factors such as pH,

    synthesis temperature, duration of synthesis, and the presence of other ions or surfactants. In

    particular, studies have shown that anions such as sulfate (SO42-

    ) and phosphate (PO43-

    ) play

    significant roles in the control of the shape and size of Hematite [4,10,11]

    . Previous research has

    also highlighted the effect of precipitating agents on the morphology of Hematite crystals by

    affecting the nucleation and growth stages of Hematite synthesis [1,12]

    .

    This paper aims to (i) determine the effects of the concentration of precipitating agent

    Sodium Hydroxide (NaOH) and (ii) elucidate the effects of different anions and their

    concentrations, in particular sulfate (SO42-

    ) and phosphate (PO43-

    ), on the crystal growth of

    Hematite nanostructures obtained via hydrothermal synthesis. The magnetic properties of the

    different Hematite nanostructures synthesised were also explored to shed light upon potential

    real-world applications.

    EXPERIMENTAL

    Materials and preparation

    Table 1. Summary of Experimental Conditions

    All chemicals were of reagent grade and were used as received without further purification.

    The experimental conditions for the various samples are tabulated in Table 1.

    1.9g of Fe(NO3)3ᐧ 9H2O and various masses of NaOH pellets were dissolved separately in

    deionised water and stirred to obtain separate homogeneous solutions. The NaOH solution

    was then added dropwise to the Fe(NO3)3 solution contained in a 100ml Teflon container

    under the constant stirring at 1000 rpm, and the mixture was dispersed for 15 minutes at room

    temperature. For some of the experiments, anions (SO42-

    and PO43-

    ) were introduced through

    the addition of H2SO4 and H3PO4. Corresponding amounts of deionised water were added to

    ensure a total mixture volume of 70ml. The Teflon container was then sealed in a

    hydrothermal reactor and placed in an oven at 200°C for 8 hours.

  • 3

    Post-Processing

    After the mixtures were heated in the oven, they were left overnight to cool to room

    temperature. The supernatant liquid was decanted, resulting mixtures were neutralized with

    either HCl or NaOH solutions and centrifuged with deionised water and acetone to remove

    any impurities or residual ions. The powders were dried at 60°C and collected for analysis.

    Characterization

    To determine the morphology of the products, Scanning Electron Microscopy (SEM) analysis

    was performed. Crystal phases and structures of the samples were identified through X-Ray

    Diffraction (XRD) while magnetic properties were examined using a Vibrating Sample

    Magnetometer (VSM). A list of equipment models can be found in the appendix.

    RESULTS AND DISCUSSION

    Effect of Concentration of Precipitating Agent (NaOH)

    NaOH has multiple roles in Hematite synthesis. Firstly, NaOH acts as the precipitating agent

    for Ferrihydrite, an intermediate iron oxide-hydroxide which precedes either the formation of

    Hematite or Goethite at higher levels of supersaturation. In addition, NaOH influences the

    level of supersaturation of the solution as well as provides nucleation sites for Hematite or

    Goethite crystals. High [OH-] has also been shown to control crystal growth on the {001}

    planes[11]

    , resulting in hexagonal Hematite platelets.

    Table 2. Summary of Results for Concentration of NaOH experiment set

    Figure 1. SEM images of samples (a) S1 (b) S2 (c) S3 (d) S6 (e) S7 and (f) S9

  • 4

    Figure 2. XRD graphs of (a) S3, Hematite and Goethite (b) S6, Goethite (c) S7, Hematite and

    (d) S9, Hematite

    Hexagonal Hematite platelets were obtained for samples S1 and S2; acicular Goethite (α-

    FeOOH) crystals were obtained for samples S3 - S6; small faceted Hematite particles were

    obtained for samples S7 - S9 (Fig. 1, Table 2). The phases of the products were identified

    using XRD (Fig. 2), and were in good accordance with database indexes for the pure phases

    of Hematite (JCPDS Card No. 33-664) and Goethite (JCPDS Card No. 29-713), except for

    S3, which showed both Hematite and Goethite peaks. This could be due to the presence of a

    small proportion of Hematite in S3, which is further verified by an SEM image showing the

    coexistence of acicular Goethite rods as well as larger Hematite polyhedrons (Fig. 3). The

    crystal structures of Hematite and Goethite can be found in the appendix for reference.

    Trends in the size of the products have also been observed with varying [NaOH]; with a

    general increase in mean size of particles as [NaOH] increases (Fig. 4).

    These results can be explained by studying the formation mechanisms of Hematite and

    Goethite respectively at the varying NaOH concentrations. The concentration of NaOH plays

  • 5

    a large role in determining the extent of supersaturation of the solution - the higher the NaOH

    concentration, the higher the level of supersaturation. NaOH, as a precipitating agent, binds

    with the water molecules, thereby decreasing the available water content and resulting in a

    higher level of supersaturation. Since different amounts of NaOH favour the formation of

    different products, the trends in size will be studied individually in reference to the different

    formation mechanisms.

    At higher levels of supersaturation, Hematite and

    Goethite are formed from a common iron oxide-

    hydroxide intermediate, Ferrihydrite (Fig. 5) [13-16]

    .

    However, as a less stable phase, Ferrihydrite is often

    eventually converted to the more stable phases

    Hematite and Goethite. At lower levels of

    supersaturation, it is proposed that the resultant iron

    oxide forms through forced hydrolysis of the ferric

    nitrate solution.

    S1-S6 were considered to be at higher levels of

    supersaturation due to the higher [NaOH]. As such,

    precipitation of Ferrihydrite occurred. Hematite and

    Goethite have been shown to convert from

    Ferrihydrite from two competing mechanisms:

    Hematite forms through an aggregation -

    dehydration - rearrangement mechanism; Goethite forms via dissolution-reprecipitation [6]

    .

    Samples S1 and S2

    At higher NaOH concentrations, Hematite is preferentially formed over Goethite. With high

    [OH-], burst nucleation of Ferrihydrite occurs (in accordance with the von Weimarn Theory)

    [1], and many small Ferrihydrite nuclei are formed. An unsustainable high-energy state is

    formed due to the high surface energy of small particles with high surface area to volume

    ratio (in accordance with the Gibbs-Thompson effect) [6,17]

    and surface interactions between

    particles of close proximity. The Ferrihydrite nuclei hence aggregate. After attaining a critical

    mass, the Ferrihydrite aggregates then undergo dehydration, in which a proton is removed

    from a hydroxyl group. The loss of a proton results in a local charge imbalance which is

    resolved through the rearrangement of Fe3+

    cations in the lattice, thus transforming into

    Hematite [6, 17]

    .

    Samples S3 to S6

    For samples S3-S6, at lower NaOH concentrations, the extent of supersaturation is lowered.

    This promotes the dissolution of Ferrihydrite and reprecipitation as Goethite. Goethite growth

    in the alkaline media of S3-S6 involves the incorporation of Fe(OH)4- complexes into the

    growing crystal lattices [6]

    . Higher [OH-] promotes growth of crystals by increasing the rate at

    which Fe3+

    from the solution is deposited onto the growing plane of the Goethite crystals.

    Therefore, the length of Goethite rods increases from S6 to S3 as OH/Fe increases (Fig. 4).

  • 6

    Comparison of Hematite particles in samples S1/S2 and S3

    Figure 6. SEM images of samples (a) S1 (b) S2 and (c) S3

    To explain the differences in shape and size of the Hematite particles formed in S1/S2 and

    S3, it is postulated that a different formation mechanism was involved in the reconstructive

    transformation of Goethite to Hematite in S3, as compared to the topotactic transformation of

    Ferrihydrite to Hematite in S1 and S2.

    For S1 and S2, the rearrangement of Ferrihydrite particles to form Hematite crystals is

    limited due to short-range diffusion in the solid phase. Consequently, these Hematite crystals

    are irregularly shaped and show a large size distribution (Fig. 6).

    Similar to S1 and S2, a high energy state system is formed in S3 due to high supersaturation

    and the close packing of acicular Goethite with high surface area to volume ratio. This results

    in the oriented aggregation of Goethite particles. However, unlike S1/S2, the Goethite

    aggregates redissolve and recrystallize to form faceted hexagonal Hematite crystals which are

    more energetically-stable. Greater ion mobility in liquid phase facilitates ion rearrangement at

    longer length scales and thus favours the growth of bigger crystals.

    Samples S7-S9

    Lastly, samples S7-S9 were considered to be at lower levels of supersaturation due to the

    lower NaOH concentrations. This prevented the nucleation of Ferrihydrite as an intermediate

    phase, the reaction proceeding instead via the forced hydrolysis of the ferric nitrate solution

    at high temperatures (200°C) [6]

    . In an aqueous solution, ferric nitrate dissociates to form the

    hexaaquairon(III) ion, as shown in equation 1:

    Fe(NO3)3 + 6H2O → Fe(H2O)63+

    + 3(NO3)3 (1)

    Being electropositive, the Fe3+

    cation induces the H2O ligands to act as acids. This results in

    hydrolysis, the deprotonation of the H2O ligands. Complete hydrolysis of the complex would

    would form an iron oxide or oxide-hydroxide, as shown in equations 2.1 and 2.2 respectively:

    2Fe(H2O)63+

    → Fe2O3 + 6H+ + 9H2O (2.1)

    Fe(H2O)63+

    → FeOOH + 3H+ + 4H2O (2.2)

    The resultant iron oxide or oxide-hydroxide nuclei then grow through the adsorption of Fe3+

    cations from the solution onto the surfaces of growing crystals via Fe-OH complexes. For S8

    and S9, in highly acidic media, Fe(H2O)63+

    is the predominant complex. For S7, in mildly

  • 7

    alkaline media, it is thought that Fe(H2O)5(OH)2+

    is the predominant complex. These higher-

    valent complexes favour the formation of Hematite over Goethite [6]

    , accounting for the

    Hematite that was formed in S7-S9. The decreasing particle size from S7 to S9 can again be

    explained by the decreased rate of transport of Fe3+

    cations to the growing crystals by Fe-OH

    complexes with the decrease in [OH-].

    Effect of Anions

    Effect of Sulfate Ions

    Figure 7. SEM images of samples (a) A1, more-faceted rhombohedrons and (b) A4, less-

    faceted pseudocubes

    Sulfate ions have been reported to control the size and shape of Hematite crystals by

    adsorbing on certain faces parallel to the c-axis of the growing crystal, resulting in ellipsoidal

    crystals [11]

    . However, in this study, ellipsoidal crystals were not obtained, possibly due to the

    hydrothermal synthesis being conducted at a different temperature and with different solution

    concentrations.

    In the presence of sulfate ions, for A1 and A2, rhombohedral Hematite particles with clearly

    defined edges were obtained (Fig. 7). These faceted particles suggest the adsorption of SO42-

    ions on particular crystal planes, restraining crystal growth in particular crystallographic

    directions and promoting growth on others.

    Conversely, the Hematite particles synthesised in A3 and A4, at higher [SO42-

    ], are

    comparatively more pseudocubic and less faceted (Fig. 7). It may be that at higher [SO42-

    ],

    more faceted crystals with very sharp corners form. However, as these high-energy sites are

    less stable, the atoms at the corners tend to redissolve into the solution to reach a more stable

    energy state of equilibrium. This results in the pseudocubic, less faceted particles in A3 and

    A4. This result has also been reported in other studies, where it is mentioned that the liquid

    medium facilitates dissolution of atoms from high-energy sites such as corners and edges,

    resulting in a change of Hematite morphology from rhombohedrons with well-defined edges

    and surfaces into less-faceted polygonal structures [2]

    .

  • 8

    Effect of Phosphate Ions

    Figure 8. Schematic diagram of the adsorption of PO4

    3- ions and resultant

    anisotropic growth of Hematite crystals to form ellipsoidal particles

    Figure 9. SEM images of samples (a) C1 and (b) C3, showing a decrease in the thickness of

    the particles with increased [PO43-

    ] due to retardation of growth along crystal faces parallel to

    the c-axis by phosphate ions

    Phosphate ions have also been shown to adsorb preferentially onto certain planes of growing

    Hematite particles, with studies often reporting the formation of ellipsoidal particles [4,10,18]

    .

    The phosphate and oxygen atoms are coordinated to two surface Fe3+

    cations. Given that the

    distance between two adjacent oxygen atoms in PO43-

    is 2.50Å, it is expected that its adsorption is stronger on the faces parallel to the c-axis because of the better matching

    between the O-O distance of PO43-

    and the Fe-Fe distance on faces parallel to the c-axis

    (2.29Å) than that on faces perpendicular to the c-axis (2.91Å) [4,5,19].

    The stronger adsorption of the anion to faces parallel to the c-axis restricts growth on these

    faces. A schematic diagram of the adsorption of PO43-

    ions and resultant anisotropic growth

    to form ellipsoidal Hematite particles is shown in Figure 8. Evidence of increasing adsorption

    of PO43-

    ions to Hematite crystal surfaces with increased [PO43-

    ] is presented in C1-C4.

    Growth normal to c-axis is clearly retarded as [PO43-

    ] increases, as shown by the decreasing

    thickness of the ellipsoidal particles (Fig. 9). Furthermore, a comparison of the peak

    intensities of the XRD graphs of C1 and C3 shows restricted growth along the (104) plane

    (Fig. 10).

  • 9

    Figure 10. XRD Graphs of C1 and C3

    Magnetic Properties

    Figure 11. Room temperature magnetization curves of (a) S7&S9 (b) A1&A4 (c) C1&C3

    (d) A1,A4,C1,C3

    Table 3. Summary of the Magnetic Parameters of Hematite nanoparticles synthesised

    The magnetic properties of the synthesised hematite particles with different sizes (S7, S9) and

    morphologies (A1, A4, C1, C3) were studied using a VSM at room temperature. Their

  • 10

    magnetization curves are plotted in Figure 11. The magnetic parameters of the particles are

    summarized in Table 3, where Hc is coercivity and Mr is remanent magnetization.

    The hysteresis loops show that saturation values are not reached at maximum applied

    magnetic field of 15000 Oe, as such, no reliable conclusion on the saturation values of the

    particles can be drawn. Most samples follow a general increase in coercivity proportional to

    increase in particle size, with larger particles accounting for larger hysteresis loops (Fig. 11)

    as prescribed in previous literature [1,20-23]

    . However in the case where particle size of the

    crystals are similar, crystal morphology plays a bigger part in determining coercivity

    wherein; particles with more rounded morphologies and equidimensional shapes usually have

    smaller coercive forces than more elongated particles [6]

    .

    This can be seen in the case of A1, A4 and C1. Though they are of similar sizes (61-68nm),

    rhombohedrons of A1 possess greater magnetic anisotropy compared to pseudo cubes of A4

    and ellipsoidal platelets of C1. It is thus more difficult to rotate magnetization vector of A1 to

    demagnetize it as its magnetic moment has a greater tendency to favour the easy

    magnetization axis of lower energy and align with the basal plane. Hence, A1 has a coercivity

    of 998 Oe, almost twice that of A4 and 1.5 times that of C1. It is also observed that C3,

    though much smaller than S7, possesses a much higher coercivity of 1566.6Oe, due to its

    morphology as an ellipsoidal platelet (Fig. 9). This shape anisotropy limits magnetization

    along the c-axis which will significantly increase the difficulty of magnetization and

    demagnetization [20]

    , thereby increasing coercivity and remanent magnetization.

    Most particles have a proportional increase in remanent magnetization with coercivity except

    for pseudocubes in A4. Its equidimensional structure causes it to possess lower magnetic

    anisotropy, hence displaying higher remanence (0.1248 emu/g) than other particles with

    higher coercivities; as shown by its narrow and steep hysteresis loop (Fig. 11(b))

    The high coercivity of synthesised hematite nanoparticles suggests potential applications in

    media recording and information storage devices. The demand for smaller devices with

    greater data storage capacities calls for materials that balance size and coercivity [24]

    , wherein

    smaller particle sizes allow for higher density of data to be stored within a given amount of

    space and high coercivity ensures that information stored is less likely to be erased due to

    stray magnetic fields or excess heat [25]

    . The hematite particles synthesised have a coercivity

    to size ratio ranging from 6.45 to 17.4, which greatly exceeds those reported in previous

    literatures from 0.0675 to 1.52 [1,20-23]

    . Sample A1 in particular, displays especially

    noteworthy properties due to the high anisotropy energy of the lengthened rhombohedron

    particles; allowing it to possess high coercivity despite its small size.

    CONCLUSION

    Monodisperse Hematite particles were synthesised via the hydrothermal method. It has been

    demonstrated that the products obtained and their morphologies can be controlled by

    experimental parameters such as the concentration of precipitating agent (NaOH) and foreign

    anions. At higher [NaOH], it is proposed that Hematite is formed via a topotactic

    transformation from Ferrihydrite; at mid-range [NaOH], Goethite is formed from Ferrihydrite

    via dissolution-reprecipitation; at lower [NaOH], Hematite is formed through the forced

    hydrolysis of the Fe(III) solution. The foreign anions result in anisotropic crystal growth,

    with rhombohedral and pseudocubic crystals obtained in the presence of SO42-

    and ellipsoidal

    particles obtained in the presence of PO43-

    .

  • 11

    Despite their nanoscale size, the prepared hematite nanoparticles are shown to possess high

    coercivities as magnetic anisotropy increases. Small rhombohedral particles at 66.4 nm with

    relative uniformity in size displayed a high coercivity, suggesting promising applications of

    hematite nanoparticles with specific morphologies as magnetic data storage materials for

    media recording devices.

    ACKNOWLEDGEMENTS

    The authors would like to sincerely thank our mentors, Ms. Deborah Ho Yee Ying and Mr.

    Koh Huan Kiat, for their guidance and advice on the development of our project. Equipment

    for this project was provided by DSO National Laboratories and Temasek Labs @ National

    University of Singapore.

  • 12

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  • 13

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    hematite (α-Fe2O3) nanoparticles prepared by hydrothermal synthesis method. Applied

    Surface Science, 320, 183-187.

    [22] Raming, T., Winnubst, A., van Kats, C., & Philipse, A. (2002). The Synthesis and

    Magnetic Properties of Nanosized Hematite (α-Fe2O3) Particles. Journal Of Colloid And

    Interface Science, 249(2), 346-350.

    [23] Peng, D., Beysen, S., Li, Q., Sun, Y., & Yang, L. (2010). Hydrothermal synthesis of

    monodisperse α-Fe2O3 hexagonal platelets. Particuology, 8(4), 386-389.

    [24] Teja, A., & Koh, P. (2009). Synthesis, properties, and applications of magnetic iron

    oxide nanoparticles.Progress In Crystal Growth And Characterization Of Materials, 55(1-2),

    22-45.

    [25] Altavilla, C., & Ciliberto, E. (2011). Inorganic nanoparticles (pp. 33-62). Boca Raton,

    FL: CRC Press.

  • 14

    APPENDIX

    List of Equipment used

    Stirring of Mixture during addition of NaOH solution to Fe(NO3)3ᐧ 9H2O solution: Dispermat

    VMA-GETZMANN GMBH d-51580 Reichshof

    Scanning Electron Microscopy (SEM): ZEISS EVO MA10 Scanning Electron Microscope /

    JEOL JSM-6701F Scanning Electron Microscope

    X-Ray Diffraction (XRD): Rigaku Ultima IV X-Ray Diffractometer

    Vibrating Sample Magnetometer (VSM): ADE Magnetic Model EV9

    Crystal Structures of Hematite and Goethite

    Hematite, α-Fe2O3

    Hexagonal (Rhombohedral)

    Space group: R3c

    Goethite, α-FeOOH

    Orthorhombic

    Space group: Pnma

    Reference: Cornell, R., & Schwertmann, U. (2003). The Iron Oxides: Structure, Properties,

    Reactions, Occurrences and Uses (2nd ed.). Weinheim: Wiley-VCH.

    Scherrer’s Equation

    Scherrer’s equation (as given below) was used to determine the estimated average grain size

    of the synthesised particles.

    Where τ is the mean grain size, K is a dimensionless shape factor, with a value close to unity

    (0.9), λ is the X-ray wavelength (0.154nm in this case for Cu K-α radiation), β is the full

    width of the peak at half its maximum intensity (FWHM) in radians and θ is the Bragg angle.

    The calculated dimensions are compared with the measured crystal size from the SEM

    images and summarized in the table below:

    https://en.wikipedia.org/wiki/X-rayhttps://en.wikipedia.org/wiki/X-rayhttps://en.wikipedia.org/wiki/Intensity_(physics)https://en.wikipedia.org/wiki/Full_width_at_half_maximumhttps://en.wikipedia.org/wiki/Full_width_at_half_maximumhttps://en.wikipedia.org/wiki/Radianhttps://en.wikipedia.org/wiki/Bragg_diffraction

  • 15

    Sample Measured Particle Size (nm) Calculated Grain Size (nm)

    S3 593 37.1

    S6 256 44.1

    S7 152 176.8

    S9 53 41.3

    A1 66 32.2

    A4 61 29.5

    C1 68 53.4

    C3 90 14.8

    Von Weimarn Theory

    The Von Weimarn theory shows the relationship between the initial supersaturation of a

    metastable system undergoing a first-order phase transformation with the average size of the

    aggregates of a newly evolving phase formed during nucleation in the system through the

    equation below:

    Where average size, is directly proportional to initial supersaturation. C0 and Ceq are the

    initial and equilibrium concentrations of the solute component in the solvent at a temperature

    T, KB is the Boltzmann constant, and is the difference of the chemical potential of the solute particle in the solvent and newly evolving phases.

    The Von Weimarn Theory shows how high supersaturations obtained at high OH-

    concentration causes burst nucleation of small nuclei as described in section 3.1.1.

    Gibbs-Thompson Effect

    The Gibbs-Thompson effect refers to variations in the chemical potential across a curved

    surface, wherein the existence of a positive interfacial energy between different phases

    increases the energy required to form small particles with high curvature, which in turn

    causes these particles to possess high chemical potential. This effect is explained by the

    Ostwald Freundlich equation below:

  • 16

    Where is the atomic volume, is Boltzmann constant, refers to surface tension (J

    m−2

    ), is the equilibrium chemical potential, is the partial chemical potential and is

    the absolute temperature.

    The equation supports the Gibbs-Thompson effect by showing how the chemical potential of

    a particle increases with a decrease in particle size and how the equilibrium solute

    concentration near a small particle is higher than that near a larger one. This results in

    concentration gradients that lead to the diffusion of molecular-scale species from smaller

    particles to larger particles through solution, leading to the aggregation of ferrihydrite

    particles as described in section 3.1.1.