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    <article-meta id="article-meta-1">
      <title-group id="title-group-1">
        <article-title id="article-title-1">The Oriented Attachment Crystal Growth Model in Hydrothermal Synthesis of Magnetite (Fe3O4) Nanoparticles</article-title>
      </title-group>
      <history id="history-1" />
      <abstract id="abstract-1">
        <p id="p-1" />
      </abstract>
    </article-meta>
  </front>
  <body id="body-1">
    <sec id="heading-36361a36805bd1df8d8e7c58e5091155">
      <title>Introduction</title>
      <p id="heading-ab089a45509d0307f055f76228765bd5" level="1">Cancer is a major public health problem and the second leading cause of death globally. The latest update from the IARC (International Agency for Reseach on Cancer), the cancer burden rises to 18.1 million new cases and responsible for an estimated 9.6 million deaths in 2018 <xref id="xref-378bfbc40d6c6d0bab1f4f0d2e8cebd4" ref-type="bibr" rid="ref-295481f88cccd01bf25c5dcaea962819">[1]</xref>. However, conventional treatments such as surgery, radiation, chemotherapy, and biologic therapies (immunotherapy) are limited by the accessibility to the tumor, the risk of operating on a vital organ, the spread of cancer cells throughout the body, and the lack of selectivity toward the tumor cells <xref id="xref-b17c3125b5f36c77a9c6ee96137245af" ref-type="bibr" rid="ref-1ed29a9a4c6dadcc82b46d7a89c16b71">[2]</xref>.</p>
      <p id="p-4550a86207f03b0f3302cc098325af39" level="1">In recent times, the drug delivery has been developed as a new method for cancer therapy. The principle of this method is delivering the drug into the target site using a nanoparticle as a “vehicle”. The advantages of nano drug delivery compared to conventional medication methods are (1) it has the ability to treat the specific targets in the body, (2) the dose of the drug is reduced, (3) the concentration of the drug at the nontarget sites is reduced, and (4) the side effects caused by drug toxicity in cells/nontarget tissues are reduced <xref id="xref-6b843f7bad75838252b674180ce7fa6b" ref-type="bibr" rid="ref-1ed29a9a4c6dadcc82b46d7a89c16b71">[2]</xref>.</p>
      <p id="p-71a88d21521c652fa904eab4150f742c" level="1">Magnetite nanoparticle (Fe<sub id="sub-1">3</sub>O<sub id="sub-2">4</sub>) is one of the materials that isa very promising candidate for being applied to drug delivery system due to its superparamagnetic and high-biocompatibility properties <xref id="xref-2f4683556c8279686ec508b642fa9a8a" ref-type="bibr" rid="ref-0bbf23199417abb767afd8885649173b">[3]</xref>. The controlled size and the morphology of nanoparticles are needed in drug delivery system because it affects the accessibility, the time residence in the bloodstream and the toxicity in the human body <xref id="xref-ab1f53ce31eb69cbb573107d6cf04d48" ref-type="bibr" rid="ref-debbfb33d32d5970ee9e46cd110367c6 ref-84e1499cf9c8753b9fea0a652656a43a">[4,5]</xref>. The synthesis of magnetite nanoparticles with controllable size and morphology are remain a challenge. The study of the evolution of crystal growth can help to understand the factors that influence the growth of crystals. An understanding of the factors that affectsthe crystal growth kinetics and microstructure development in nanocrystals is fundamental to control the nanoparticle properties <xref id="xref-c431e9cc371fafbfc1dfdb327f50d7ed" ref-type="bibr" rid="ref-c2487fe775b038f85c0bbc114ff92f05">[6]</xref>. It is important for the tailoring process of the nanoparticles to have uniform size and morphology <xref id="xref-a813b3551313b1031afec238993c587f" ref-type="bibr" rid="ref-98f47265b353cf4ee65326e95905a6bc">[7]</xref>.</p>
      <p id="p-2">Utami et al. <xref id="xref-01eb35a8d799fffc18868a7003d3cb3c" ref-type="bibr" rid="ref-d398cbca2f98a398fbd95b765fa11b61">[8]</xref> had been studied the effect of temperature on the evolution of crystal growth in the hydrothermal system and modeled it using Ostwald Ripening model. It is found that the crystal growth reaction was controlled by dissolution kinetics at the particle-matrix interface. However, it is known that in the nanoscale systems, the surface contributions to the total energy become increasingly important as the particle size decreases. Nanocrystals have a higher surface energy, which facilitates the ‘‘reaction’’ on the surface, such as the directbonding and the crystallization amongthe particles namely oriented attachment (OA) pathway <xref id="xref-4faefe3cd5f07855e218f3f7ce81d63d" ref-type="bibr" rid="ref-3bf64c50e3aa8db722e4e861133fd171">[9]</xref>. Here, we investigated the magnetite coarsening in the hydrothermal system using the oriented attachment approach.</p>
    </sec>
    <sec id="heading-252dab767695c24d81bf1ce845d4412f">
      <title>Experimental</title>
      <p id="heading-5892500e46087e5c4f202b33bef4a4ff" level="1">This study consisted of three main stages: (1) magnetite nanoparticles preparation using the hydrothermal method, (2) characterizationsusing XRD (X-ray diffraction), TEM (transmission electron microscope), PSA (particle size analyzer), and VSM (vibrating sample magnetometer) and (3) modeling the kinetics of magnetite crystal growth.</p>
      <sec id="heading-039e27b15ad39f485a396b422aa5896d">
        <title>
          <bold id="bold-1">Synthesis of Magnetite Nanoparticles </bold>
        </title>
        <p id="heading-8eb77061ca0a626381c10349e8df57e8" level="2">The magnetite nanoparticles were synthesized using the hydrothermal method. The various concentrations of FeCl<sub id="sub-4ca098e6062b86982dc6fe9ac13d8d6f">3</sub> (0.05 M, 0.10 M, and 0.15 M), 4 mmol of sodium citrate (0.10 M), and 6 mmol of urea (0.15M) were dissolved intothe 40 cm<sup id="sup-1">3</sup> of distilled water, then 0.1 g of PEG was added until it was completely dissolved.The solution was finally transferred into a Teflon-lined autoclave. The Teflon-lined autoclave was put into an oven and the temperature was set to 210<sup id="sup-2">o</sup>C. The reaction times used in this study were 1, 2, 3, 3.5, 5, 7, 9, and 12 hours. The black precipitateformed was separated by a bar magnet, then washed with water and ethanol, and dried at 60°C overnight. The black precipitates were characterized by XRD, TEM, PSA, BET analyzer and VSM.</p>
      </sec>
      <sec id="heading-1afab7d32995c495cf533c8335b037a9">
        <title>Characterization</title>
        <sec id="heading-93592b999ad8f247f9c1ea08fc980439">
          <title>XRD Characterization</title>
          <p id="heading-9d541aaf0f87db91f224cf73fd71a402" level="3">Identification, crystallinity and size of nanoparticles were determined by XRD. Approximately 200 mg of sample was printed directly on aluminum measuring 2 × 2.5 cm<sup id="sup-f86ea666aa19fb1d0737164cc9cbc064">2</sup>. Samples were characterized using XRD instrument with Cu radiation light (λ = 1.54 Ǻ) with a voltage of 40 kV and a current of 30 Ma at 2θ of 10-99.97<sup id="sup-7a1569406b632b20047a761a91a1441a">o</sup>.</p>
        </sec>
        <sec id="heading-130af22908a3bd94d78999cfafab2849">
          <title>TEM Characterization</title>
          <p id="heading-f8401bb914669faaf493eb05a224c753" level="3">The particles size, morphology, and aggregate were analyzed by transmission electron microscope (TEM JEOL JEM 1400) operated at 5 kV under vacuum.</p>
        </sec>
        <sec id="heading-65ead976a722665bb83659f90e37b869">
          <title>
            <bold id="bold-5d3b439c2363b2399f5e7a419a025a9b">Particle Size A</bold>
            <bold id="bold-2">nalyzer (PSA) Characterization</bold>
          </title>
          <p id="heading-336c593a1d1e02eec3c097159a6a15bc" level="3">The particle size distribution was analyzed by PSA (Beckman Coulter) at 25<sup id="sup-28fc7c49ef800616619573bd1796f08f">o</sup>C and the viscosity of 0.8878 cp in water for 30 minutes.</p>
        </sec>
        <sec id="heading-63f42706e9f6d67c7b88b1760c45acbf">
          <title>VSM Characterization</title>
          <p id="heading-9f66bf7d473717c920d426e0890b1282" level="3">Characteristics of magnetic nanoparticles were analyzed by Vibrating Sample Magnetometer (VSM) type VSM1.2H Oxford. Magnetization curves measured at room temperature with a magnetic field that varies in the range -1 to 1 Tesla.</p>
        </sec>
      </sec>
      <sec id="heading-44eeab771448f91fbbd3a5bd94b0e04e">
        <title>
          <bold id="bold-b8bb265047bcfa4eb97adc2a5a2c7a28">Kinetic Modeling of Crystal Growth</bold>
        </title>
        <p id="heading-8986888dafe8a4851b789c5028ca2aa8" level="2">The Oriented Attachment (OA) crystal growth model explained the crystal growth based on the joining of crystal particles. The primary particles met with other primary particles forming secondary particles. The secondary particles met with the primary particles forming the tertiary particles and so on to form larger ones without the dissolution of either particle. The driving force of this process was attributed to the decrease in surface and grain boundary free energies <xref id="xref-03572a9c3a4bcd3826345a0914357aee" ref-type="bibr" rid="ref-89ac568ca57a5c0a377f365ed61133ee">[10]</xref>. The general equation of Oriented Attachment crystal growth model was presented in equation 1:</p>
        <p id="p-54db3b2a68f2aa1138680d05a250c979" level="2"><inline-formula id="inline-formula-9cf239e56adde272f7ee111b14bccb7d" content-type="math/tex"><tex-math id="tex-math-e9f0fb83fbdced11af0d81b4078b1af0">\begin{equation} D=\frac{D_{0}\left ( \sqrt[3]{2k.t+1} \right )}{\left ( k.t+1 \right )} \tag{1} \end{equation}</tex-math></inline-formula></p>
        <p id="p-bf61c6f125265cd80843124fd670941b" level="2">where \( D \)  was crystal diameter, \( Do \)  was the diameter of crystal formed initially, \( K \) was constant and \( t \) wasthe time reaction. The \( K \) value was obtained from theintercept of the experimental data following equation:</p>
        <p id="p-62b5dacbb05b8fd1f5ad57bbb1b99834" level="2"><inline-formula id="inline-formula-11463aae6239c80c003fbe76aa9a5db3" content-type="math/tex"><tex-math id="tex-math-1fc33abb81ae0c29af252e00ce9b765d">\begin{equation} \ln\left [ \left ( 1-\alpha  \right )\left [ \frac{D_{0}}{D} \right ]^{3} \right ]=\ln k + \ln t \tag{2} \end{equation}</tex-math></inline-formula></p>
        <p id="p-b738d716fcf19d1d27b086eeb4d78fef" level="2">Furthermore, the value of \( D \) and \( Do \) were obtained to the model curve. The experimental curve then matched with the model.</p>
      </sec>
    </sec>
    <sec id="heading-dafe7de53e8fa259fa02ab0dbc2b5207">
      <title>Result and Discussion</title>
    </sec>
    <sec id="heading-46b1cac36dea8280d164ed51ad4abcea">
      <title>Magnetic Properties and VSM Results</title>
      <p id="p-09a4785e67225dd027b7788e0956469d" level="2">The formation of magnetite nanoparticle is shown by the formation of black precipitate at 3.5 h synthesis (<xref id="xref-d1ab4d18b04fe3d74051d591b5743469" ref-type="fig" rid="fig-7dbae4ab1c50ba0e1d9dd237870e0c23">Figure 1</xref>). The precipitate iswell dispersed in water (<xref id="xref-d4c7a4c6b1dff3410d4bc4748a8ea25e" ref-type="fig" rid="fig-7dbae4ab1c50ba0e1d9dd237870e0c23">Figure 1</xref> a). These properties are expected in the development of drug delivery. The presence of PEG that has an<sup id="sup-62dc2b05a245976a9a9db6360cf24e51">-</sup>OH group on the surface makes the nanoparticles are hydrophilic and negatively charged. Thus, it makesthe nanoparticles have a longer residence time in the bloodstream (high bioavailability) because it corresponds to the nature of the plasma proteins which is also hydrophilic and negatively charged. In general, phagocytosis will occur in particles of non-polar (hydrophobic) and positively charged as it is considered as a foreign substance to the body. In addition, the presence of PEG on the surface of magnetite nanoparticles also prevents oxidation by the air and becomes a place for drug attachment <xref id="xref-616949afc94be03deab1928fea9d6c0b" ref-type="bibr" rid="ref-ab5742f679ab37b33958a79d9373507d ref-52bb8a631401bbffd35fc3cb88e91efb">[11,12]</xref>.</p>
      <p id="p-78ed5cb264395d3b7a18bd4ea672b453" level="2"></p>
      <fig id="fig-7dbae4ab1c50ba0e1d9dd237870e0c23">
        <object-id id="object-id-ed34b1ce70c20a3e6db7d715394fd743">fig-7dbae4ab1c50ba0e1d9dd237870e0c23</object-id>
        <label>Figure 1</label>
        <caption id="caption-b5376ca77d56e7f424d91cf3ad17161b">
          <title id="title-6d31b023a4a501dd33a1ef5bb9d01204">The as-synthesized black precipitate disperse well in water (a) the precipitate interacts with external magnetic field (b) re-dispersible powder in the water after the magnetic field is removed (c)</title>
          <p id="p-3" />
        </caption>
        <graphic id="graphic-b6b8487330a8e8b680a5388f3b0de76b" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/2/5/244" />
      </fig>
      <p id="p-3a05289aa0468903f26c8719e9382c40" level="2"></p>
      <p id="p-26a01375ab8fb710bf39e7eee02b7dfe" level="2">When it is brought closer to the external magnetic field, the precipitate interacts with magnetic field (<xref id="xref-eb596dceeae885114d2fb9c6c8e9cec7" ref-type="fig" rid="fig-7dbae4ab1c50ba0e1d9dd237870e0c23">Figure 1</xref>b). Magnetic properties of the precipitate appear when it is exposed to the external magnetic fieldand then disappear when the magnetic field is eliminated (<xref id="xref-39e9ce67ccda8953f8d1ae4c641e508e" ref-type="fig" rid="fig-7dbae4ab1c50ba0e1d9dd237870e0c23">Figure 1</xref>c). This shows that the magnetite hassuperparamagnetic properties.</p>
      <p id="p-9126d0c70c2409908bddd6506a6c0e06" level="2"></p>
      <fig id="fig-16a6a40c46b67edfcaf0376a0617540c">
        <object-id id="object-id-9edd847be299aa4ce5a39c392a5cd528">fig-16a6a40c46b67edfcaf0376a0617540c</object-id>
        <label>Figure 2</label>
        <caption id="caption-749ba380793f53d2fee278ab8e8c4f75">
          <title id="title-5d97071b34a829cd4a428b4402f0bcdf">Hysteresis curve of the as-synthesized magnetite nanoparticles</title>
          <p id="p-4" />
        </caption>
        <graphic id="graphic-f9e6af2714677d6b088f3ff826478507" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/2/5/245" />
      </fig>
      <p id="p-2e6294f609ab5ed2f83395e582ca8ecd" level="2"></p>
      <p id="p-b5a21d48560d24008aaaff43f94b0120">The VSM hysteresis curve of the precipitated magnetic is depicted in <xref id="xref-f7460c1db11f1e8aca12eec183281afd" ref-type="fig" rid="fig-16a6a40c46b67edfcaf0376a0617540c">Figure 2</xref>. There is a very narrow hysteresis loop with coercivity’s (Hc) value of near zero (0,02T). This reaffirms that as-synthesized magnetite nanoparticle has superparamagnetic properties. This superparamagnetic properties gives advantages in drug delivery application such as easy to guide to the parts of body by external magnetic field and preventing the effects of agglomeration after the application of external magnetic fields <xref id="xref-4eca8477559b726961a0fc9a6d00c9c5" ref-type="bibr" rid="ref-585c31b038916c71c4413f24a1a7d479">[13]</xref>.</p>
      <sec id="heading-bd85dbc2aac9bf6f703cad4d4d794e95">
        <title>XRD Analysis</title>
        <p id="heading-46e38338cf9fc84e6b234b9dc31734de" level="2">The XRD patterns match with the standar pattern of Fe<sub id="sub-595ced22ed9cbfebd37bc6aded71598a">3</sub>O<sub id="sub-58235ccb38afa1f209f0414a9240e978">4</sub> with the highest intensities at 2Ө 35.54°; 57.06°; and 62.66° which confirm that the precipitate is pure magnetite (<xref id="xref-643889577ab990512eb715e24e41f917" ref-type="fig" rid="fig-66827095528bb4f9bec9fc34cac94fce">Figure 3</xref>). The intensity of the peak rises as the time increase, indicates an increasing in crystallinity of magnetite (<xref id="xref-66f2cb6eff425e87d1ba775aac56f189" ref-type="fig" rid="fig-66827095528bb4f9bec9fc34cac94fce">Figure 3</xref>).</p>
        <p id="p-ecdd186de650f56486e81f937ac5acca" level="2"></p>
        <fig id="fig-66827095528bb4f9bec9fc34cac94fce">
          <object-id id="object-id-88aedb4b6844d571856ab0a1e33f9dc8">fig-66827095528bb4f9bec9fc34cac94fce</object-id>
          <label>Figure 3</label>
          <caption id="caption-c7c298152a43a175563b8bf0579ddbf0">
            <title id="title-631f25c77fa9dcfad429d0d550a06e74">The XRD pattern of as-synthesized magnetite at 210oC for 3.5h (a), 5h (b), and 12 h(c)</title>
            <p id="p-5" />
          </caption>
          <graphic id="graphic-1e2edb5731786dbf7470e761f6c2688e" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/2/5/246" />
        </fig>
        <p id="p-59ff28a5510abe1ce3bd7cbb583455e0" level="2"></p>
        <p id="p-ec4f13202e0a6db47df1fc3f012cd4d9" level="2">The XRD pattern of samples synthesized from various FeCl<sub id="sub-e24a89eac50db31614a296c9e909ef11">3</sub> concentrations are shown in <xref id="xref-830aeb9b82e7a266210bcb1f2b7cfa8b" ref-type="fig" rid="fig-d70c0f3b48e5b76a47798a7848d0a8f7">Figure 4</xref>. All of sample patterns are well-matched with the standard pattern of Fe<sub id="sub-b88dc15c45aa0c0446abe6be885be312">3</sub>O<sub id="sub-3">4</sub>, indicate a pure Fe<sub id="sub-4">3</sub>O<sub id="sub-5">4</sub> are formed in different concentration. The intensities of XRD peaks show higher intensity in higher concentrations, indicates higher crystallinity product was obtained from the higher concentration of FeCl<sub id="sub-6">3</sub>. However, the peak boardening decrease with higher concentration shows bigger crystallite size obtained in higher concentration of FeCl<sub id="sub-7">3</sub>.</p>
        <p id="p-8368be28041b8030b8b44ab6c90cc978" level="2"></p>
        <fig id="fig-d70c0f3b48e5b76a47798a7848d0a8f7">
          <object-id id="object-id-29effb7739772906b14689bd80945233">fig-d70c0f3b48e5b76a47798a7848d0a8f7</object-id>
          <label>Figure 4</label>
          <caption id="caption-426d5e7d8370e32d8f04a2af1bb4c0fb">
            <title id="title-ca5a56268fd32a03ffe055fb36a59cce">Diffractogram of the as-synthesized samples at temperatures of 210 ° C 12 hours, FeCl3 concentrations of (a) 0.05 M, (b) 0.10 M and (c) 0.15 M</title>
            <p id="p-6" />
          </caption>
          <graphic id="graphic-0f6de6b740b3b43483efdcd8f2fa3375" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/2/5/247" />
        </fig>
        <p id="p-9b7d52cf1a7b8f3bc7c75052cdb55694" level="2"></p>
      </sec>
      <sec id="heading-2b3255a906960469697ac332cbdb4dce">
        <title>TEM Images Analysis</title>
        <p id="heading-ef6f70b115973fd9e9cc0e3fcbb78626" level="2">The morphology of magnetite nanoparticles is shown by the TEM images (<xref id="xref-c7ac899fa2b975936ff2fb0b7ec4c9c7" ref-type="fig" rid="fig-40d29cd761841321563ac220971e7374">Figure 5</xref>). TEM image shows that at 3.5 hours, thenano-sized particles formed are uniform in diameter, they are about less than 10 nm (<xref id="xref-8ec2b35551ed7317277acddcb493a544" ref-type="fig" rid="fig-40d29cd761841321563ac220971e7374">Figure 5</xref>a). It can be seen that at the initial formation step, the single crystal is formed. The dark region shows a high cristallinity and the light region shows a low crystallinity. The light region of particle is larger than the dark region indicatinga low cristallinity (high amorphouse phase) of nanoparticles formed at the initial formation as indicated in XRD data.</p>
        <p id="p-1881b22f4c7e82edde936f21e9708fc3" level="2"></p>
        <fig id="fig-40d29cd761841321563ac220971e7374">
          <object-id id="object-id-6e7ee4e2bd305a4b6a06e6250809555f">fig-40d29cd761841321563ac220971e7374</object-id>
          <label>Figure 5</label>
          <caption id="caption-e834aa926b4875dea28596937dae3301">
            <title id="title-9d3f9aad17a1ed40245ecf31d61540fd">TEM image of nanoparticles synthesized at temperature of 210 ° C at 3.5 h (a), 7 h (b), and 12 h (c) with magnification of 80,000X</title>
            <p id="p-7" />
          </caption>
          <graphic id="graphic-9250daff25ffb0922a8727de43217ae2" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/2/5/248" />
        </fig>
        <p id="p-85545fe4f2d32f7b5531cc42e3eefec2" level="2"></p>
        <p id="p-aea769dc52222afa7f967d9f53ec62c3" level="2">The 7 hours synthesis results particles which have less regulated morphology and agglomerated with the final diameter of about 100 nm (<xref id="xref-0d5d6bcd9f5b4cef633b358b23c02184" ref-type="fig" rid="fig-40d29cd761841321563ac220971e7374">Figure 5</xref>b). At 12 hours, the particles are more crystalline and the agglomeration still occur with the final diameter of more than 100 nm (<xref id="xref-64cb6d1cdbce0f483131c904f3eac7b8" ref-type="fig" rid="fig-40d29cd761841321563ac220971e7374">Figure 5</xref>c). The TEM image reveals that at longer reaction time, the initial particle coalesences to decrease the interfacial energy, as the basis of modeling with the Oriented Attachment approach. The agglomeration is not expected for drug delivery application due to anisotropy in pharmacology effect. However, magnetite nanoparticles obtained in this experimentare in accordance with the criteria of drug delivery, which are 10 nm - 200 nm <xref id="xref-53328cddb5dccc7311e6067b6c85752e" ref-type="bibr" rid="ref-1ed29a9a4c6dadcc82b46d7a89c16b71">[2]</xref>.</p>
      </sec>
      <sec id="heading-f1f5fbe1573b69b72711529345adb9b5">
        <title>PSA Results</title>
        <p id="heading-3645eb0298866c3a170a90f06e6f91d1" level="2">The Particle Size Analyzer (PSA) results are depicted in <xref id="xref-a9080459114b8b146c752d7ac1b2880e" ref-type="fig" rid="fig-9985b07e21718e5172c54d48fdcb597c">Figure 6</xref> and <xref id="xref-67a6485fa25eacf4b7c33323c1766e01" ref-type="table" rid="table-wrap-84db80cf8bf18d9516e3a806f09a9a83">Table 1</xref>. Based on <xref id="xref-2f9bc8f1b3fa0be62acecc53196c3332" ref-type="fig" rid="fig-9985b07e21718e5172c54d48fdcb597c">Figure 6</xref>, it can be seen that the different synthesis conditions produce different distribution of magnetite nanoparticles size. The particle size distributionof sample synthesized at 0.1 M reactant concentration is narrow (<xref id="xref-cf72031ca0300eee52148af97fc89e3b" ref-type="fig" rid="fig-9985b07e21718e5172c54d48fdcb597c">Figure 6</xref>a and <xref id="xref-c95add4bb5c9c22d32bd7261b9cce25f" ref-type="fig" rid="fig-9985b07e21718e5172c54d48fdcb597c">Figure 6</xref>c), while for sample synthesized at 0.15 M concentration the particle size distribution is wide indicating higher polidispersity (<xref id="xref-75456bfe7741aa154da393d94add9597" ref-type="fig" rid="fig-9985b07e21718e5172c54d48fdcb597c">Figure 6</xref>b).</p>
        <p id="p-36e54b87322d4737094b5e717335ab3e" level="2"></p>
        <fig id="fig-9985b07e21718e5172c54d48fdcb597c">
          <object-id id="object-id-b4779935881fde390adea5541d405b0e">fig-9985b07e21718e5172c54d48fdcb597c</object-id>
          <label>Figure 6</label>
          <caption id="caption-d1166dae181e93a5de02c3139e8d1b0e">
            <title id="title-7735670230a3f6d82bbfa17904173c9d">Distribution of particle diameter of the as-synthesized magnetite at 210 ° C (a) 3.5 hours 0.10 M (b) 12 hours 0.10 M and (c) 12 hours 0.15M</title>
            <p id="p-8" />
          </caption>
          <graphic id="graphic-248679c4add48cf95c3faa427dc64975" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/2/5/249" />
        </fig>
        <p id="p-78adb79d521b1e8ea258cb885009106d" level="2"></p>
        <table-wrap id="table-wrap-84db80cf8bf18d9516e3a806f09a9a83">
          <object-id id="object-id-0f396dcddbe8123f3eddc562f42d7248">table-wrap-84db80cf8bf18d9516e3a806f09a9a83</object-id>
          <label>Table 1</label>
          <caption id="caption-f2bfa6bbe33a299acce47c2d2cf7575b">
            <title id="title-af043f204dd7c2eeb25d96cf3e728b35">Table 1. Particle size of the as-synthesized magnetite based on PSA characterization</title>
            <p id="p-4c86a410a416c39043a5c1ccffac1e17">Table caption</p>
          </caption>
          <table id="table-c9bbbe7930bd77d6a07cae9cf8ce397e">
            <tbody>
              <tr id="table-row-4ffae2e14615d797a36e1dc36ca5e006">
                <td rowspan="1" colspan="6">Sum of particle size distribution at synthesis condition :</td>
              </tr>
              <tr id="table-row-9edda56b770f78831d9b2b96ae21ddd5">
                <td id="table-cell-9fd4ac132c005fef1f28ff26fae5285b" rowspan="1" colspan="2">0.1 M 3.5 h</td>
                <td rowspan="1" colspan="2">0.1 M 12 h</td>
                <td rowspan="1" colspan="2">0.15 M 12 h</td>
               </tr>
              <tr id="table-row-71afc140dffb834ddf26afcf4c525290">
				<td>size (nm)</td>
				<td>percentage (%)</td>
				<td>size (nm)</td>
                <td id="table-cell-d9d79997382b15b3077873d0eec1e7df">percentage (%)</td>
                <td id="table-cell-cab09e65c2cd309055726216682a627f">size (nm)</td>
                <td id="table-cell-7c70536da483ae0bb29ce09b357c6876">percentage (%)</td>
              </tr>
              <tr id="table-row-34b253789c8cbd99c29eb636ebd9e952">
                <td id="table-cell-d9987c15b114c7b9f9e0b3b1b06059ec">&lt;10</td>
                <td id="table-cell-e69fff9066974fc67d5277c11a50ac76">0</td>
                <td id="table-cell-242e2162c9f5850aff342640d13908c2">&lt;10</td>
                <td id="table-cell-308b7b1c4a5a13f470d3e1481b5bf03c">0</td>
                <td id="table-cell-dac7c155af63d7b1750c18cd465a38eb">&lt;10</td>
                <td id="table-cell-45482a1cab55cc3a5e8ffa2e6388b103">0</td>
              </tr>
              <tr id="table-row-c69bc8b737c3a44783fadf48a829c12e">
                <td id="table-cell-38003f6167d1dbf0118bbc27681ce44d">10</td>
                <td id="table-cell-e93d92dbe0016b3ccd658060776685df">13</td>
                <td id="table-cell-d00779a8d27369b5ebc69dce6077a984">10 - 20</td>
                <td id="table-cell-dd97fda743b5631bd479060f717cd74c">8.68</td>
                <td id="table-cell-6c9673ceae1da21965abfab81d5faa33">10 - 20</td>
                <td id="table-cell-619059d167775be1a668c4651528bb6f">0</td>
              </tr>
              <tr id="table-row-fd05307fa08027d5380a5701c9eb51c1">
                <td id="table-cell-0603b1484afc5064c22ea5f8727d4466">11</td>
                <td id="table-cell-26091b46642ba2c6151203a8987c01d7">15</td>
                <td id="table-cell-c4f2da9efb99880558df21e1c6bee2e4">20 - 30</td>
                <td id="table-cell-59a13481055773112c56fc3816902c31">5.41</td>
                <td id="table-cell-1a8b416e7f0ddf232dbce6bff9158cb3">20 - 30</td>
                <td id="table-cell-9f708947e1d803decdc55e9efc19c1f6">0</td>
              </tr>
              <tr id="table-row-9bda6abdae5581d7b90a539703e2039f">
                <td id="table-cell-771c36a6446a9646c37c511f82a2d463">12</td>
                <td id="table-cell-17863a7b3bfa0744261a1d5ac3c00c50">14</td>
                <td id="table-cell-6b6e7c51fc618dd28f3d268138a67527">30 - 40</td>
                <td id="table-cell-bf773e2500ad1f262eab50e3a002fd79">41.69</td>
                <td id="table-cell-bbc3de10f5edd63f5755fcf82dd1a51e">30 - 40</td>
                <td id="table-cell-6bbd84bc0b6b19ea54f22edcaf906844">0</td>
              </tr>
              <tr id="table-row-c49d6a2c24124379cfd922a9dbe73f9d">
                <td id="table-cell-ee37e4f3c8224cac487ad9ebf8465aef">13</td>
                <td id="table-cell-c455b30db014602e7a695e8eaaaa00ee">13.79</td>
                <td id="table-cell-cb610ad752d2356a70bf03d4b299cf7c">40 - 50</td>
                <td id="table-cell-6543501f7b6d68455cf166615b9b4885">25.12</td>
                <td id="table-cell-d07a5dc7ab4a5c602c22246faa3f307e">40 - 50</td>
                <td id="table-cell-ef38f8a9fb6a29f0e07c3c94ed0ef948">60.59</td>
              </tr>
              <tr id="table-row-7338cd16da06986544498c96205a34a6">
                <td id="table-cell-8e6c612729447b2ca13f54f84a9b2129">14</td>
                <td id="table-cell-931bd8196a9b85c605f1b6a3cd6a9718">15.31</td>
                <td id="table-cell-92b567ab6f4b109320860c7c8a1c51f2">50 - 60</td>
                <td id="table-cell-6de4647bd8064771f77e16e7d2f9500a">7.5</td>
                <td id="table-cell-6040aa9f1cf74fd815473e96bc29c306">50 - 60</td>
                <td id="table-cell-1d5df098ea3782250ada68c8c148d26f">31.39</td>
              </tr>
              <tr id="table-row-6f84310a89ac6a6e9c07d5df43228254">
                <td id="table-cell-86eb24d23b630aee00a49a60ee587cfa">15 - 20</td>
                <td id="table-cell-a2d69edd7608ed948d77a9a07c54ce96">26</td>
                <td id="table-cell-e63ff0303e754a38aecc9f31e34e7531">60 -70</td>
                <td id="table-cell-ff1c483d67aa9eb58b28765a46d21722">11.6</td>
                <td id="table-cell-2557c670f068327850e35c718ffe5306">60 -70</td>
                <td id="table-cell-473a1e5a0c7df8066683e88801b64620">8.02</td>
              </tr>
              <tr id="table-row-3811aa5c4bedba35f2ca16c5d7debfd8">
                <td id="table-cell-361c1c56b0eae4ea912f7f85bbfde2d4">&gt; 20</td>
                <td id="table-cell-c101406f1929ef67344e1c77dd6bfd84">2.9</td>
                <td id="table-cell-3f230e21de80fbd696686b549a8fe55e">&gt; 70</td>
                <td id="table-cell-1379608fb506e67a32465efe388da6ec">4.4</td>
                <td id="table-cell-799cd988c350c0544bc2cd0f3886ba79">&gt; 70</td>
                <td id="table-cell-08be403dc9301e806bf13fc2d81cec59">0</td>
              </tr>
              <tr id="table-row-03d9d508c12c1aa877b9ff9bb3359efa">
                <td id="table-cell-c5b67b1fe506890c68f5a4b1931d7e9b">total</td>
                <td id="table-cell-c7f2f3ee5046bdbb1695694cbbc7f2fc">100</td>
                <td id="table-cell-66ba13541fff74fc8bf7c8b03bc67056">total</td>
                <td id="table-cell-6cb507a1076e3513e2409d9c8ba323cd">100</td>
                <td id="table-cell-b991d1b4a44a1d28037de62ef9cd3366">total</td>
                <td id="table-cell-f8247621163cd1fef1829566800b7d24">100</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p id="p-326f18dda5886c33e040a2212908d2ee" level="2"></p>
        <p id="p-347466ea3ffd66f12552301e0af9a930" level="2"><xref id="xref-c592ff8a06af0aa47d015c7a008d8591" ref-type="table" rid="table-wrap-84db80cf8bf18d9516e3a806f09a9a83">Table 1</xref> shows, for sample synthesized using 0.1 M reactant for 3.5 hours, the particle size in range of 10-20 nm is about 97%, while forthe sample synthesized for 12 hours s the particle size in range of 30-50 nm is about 66.81%.It also shows that the percentage of the small particle decreases by the time but the percentage of the bigger particles increases. It reveals a coarsening in the hydrothermal system as the longer reaction time with hypothetically Oriented Attachment path way. For the sample synthesized at reactant concentration of 0.15 M and 12 hours synthesis, the particle size in range of 40-70 nm is about 100%. Thus, it can be concluded that the higher concentration of FeCl<sub id="sub-b6dfdacce0a815ebbabd8eb4d0c6040d">3</sub> will produce larger particle diameter but narrower particle size distribution. PSA results also prove that the longer the reaction time, the more particle diameter increases will be. This also prove the occurrence of coalescence of small particles into large particles, seen from the reduced percentage of small particles formed after 12 hours compared to the percentage of small particles formed at 3.5 hours.</p>
      </sec>
      <sec id="heading-8a1836305807d7d351aca62818be1aab">
        <title>Modeling of Magnetite Nanoparticle Crystals Growth by Oriented Attachment (OA) Approach</title>
        <p id="heading-6d43bd4d026453d82ddf20616b1a70d4" level="2">The XRD, TEM and PSA data show the tendency of the nanoparticle growth from combining small particles into larger particles through the agglomeration. To prove the occurrence of Oriented Attachment pathway in the process of magnetite crystal growth in hydrothermal system, modeling is made. Based on experimental data obtained from X-ray diffraction, the crystal diameters are determined by Scherres formula. Then, the k values are obtained from the concentrations of 0.05 M, 0.1 M and 0.15 M. From this k value the diameter of the model is determined by substituting the parameters Do and t (Equation 1). The plot of crystal diameter vs time at various reactant concentrations are shown in <xref id="xref-95b3115e6d15bb06016e05d866d5d050" ref-type="fig" rid="fig-ee8d0ade0c6b1dd1a6d5ce828e835300">Figure 7</xref>.</p>
        <p id="p-df277cc9681c5125fac9fb09594c0ce7" level="2"></p>
        <fig id="fig-ee8d0ade0c6b1dd1a6d5ce828e835300">
          <object-id id="object-id-17adf36a6f6d32fc2d0056f73ce6701f">fig-ee8d0ade0c6b1dd1a6d5ce828e835300</object-id>
          <label>Figure 7</label>
          <caption id="caption-5b60ff83abcdeb755d471748459a2b23">
            <title id="title-12da7dce54ea54047bc5afb405cfbd64">Diameter of magnetite crystal particles from experiment and model at reactant concentration of 0.05 M (a); 0.1 M (b); 0.15 M (c)</title>
            <p id="p-9" />
          </caption>
          <graphic id="graphic-83cf8014ae6314a53c8d2bc1dc9d47d0" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/2/5/250" />
        </fig>
        <p id="p-46b2de46ec3592656c11d4074f4f4561" level="2"></p>
        <p id="p-7550802a6fb2dbd981ebc8d2fc7e8643" level="2">In <xref id="xref-14a759145c9608d46ee8dbba093ad62e" ref-type="fig" rid="fig-ee8d0ade0c6b1dd1a6d5ce828e835300">Figure 7</xref>, it can be seen that the crystal diameter from the experimental results on the increase in reaction time become closer to the model point. The elevation points isshrink from the reaction time of 5, 7, 9 and 12 hours. It can be concluded that increasing reaction time the growth of magnetite crystals following the Oriented Attachment (OA) model.</p>
        <p id="p-6fd7a8c95fab810e20ed15aa6ea52dca">In different concentration treatments, the growth response of magnetite crystals is also different. At 0.15 M reactant for 5-hour synthesis, the percent of error reaches 29%. Whereas for 0.10 M and 0.05 M reactants, the error is of 19.15% and 9.6%, respectively. It can be seen that the experiment is closer to the model at a concentration of 0.05 M.</p>
      </sec>
    </sec>
    <sec id="heading-94fd6725ada95660a4354bbd29549245">
      <title>Conclusion</title>
      <p id="heading-1343b6c6d6ae9eadbb9503df8763f37e" level="1">A pure superparamagneticmagnetite nanoparticle has been successfully synthesized viathe hydrothermal method at 210<sup id="sup-1f28ee348de86eba3401bdc9f77ebe39">o</sup>C.The crystal diameter was about 9.4-30 nm and particle diameter was lower than 200 nm. From the overall characterization, it was concluded that the time and the concentration of reactants (FeCl<sub id="sub-de51e7824a373cf57374f1075e9796be">3</sub>) affected the growth of magnetite crystals. An increase in reaction time increased the diameter of the crystal and crystallinity. The diameter particle rose with the time due to occurrence of agglomeration. Judging from the trend, magnetite crystal growth in this study followed the Oriented Attachment model, where the lowest concentration of reactant gave the smallest percentage error of 9.6% while the highest concentration contributed to the highest error of 29%. From this study it was suggested: to produce controllable properties of magnetite nanoparticles for drug delivery purpose, low concentrations (0.05 M FeCl<sub id="sub-4efd8678b7dede6940d1ee0611130742">3</sub>) was highly recommended.<bold id="bold-9953f01e307288c22c23bda5b784ab42"/></p>
    </sec>
    <sec id="heading-c76d0141e059217193aa37ab9f0d962e">
      <title>Acknowledgement</title>
      <p id="heading-0f82c8be7bbb042d935e736638dfd7a0" level="1">Financial support for this study was provided bythe Ministry of Research, Technology and Higher Education of Republic of Indonesia(Kemenristekdikti).</p>
    </sec>
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