<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">ANP</journal-id><journal-title-group><journal-title>Advances in Nanoparticles</journal-title></journal-title-group><issn pub-type="epub">2169-0510</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/anp.2015.42006</article-id><article-id pub-id-type="publisher-id">ANP-56201</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Biomedical&amp;Life Sciences</subject><subject> Chemistry&amp;Materials Science</subject><subject> Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  Structural and Optical Properties of Mg&lt;SUB&gt;1-x&lt;/SUB&gt; Zn&lt;SUB&gt;x&lt;/SUB&gt; Fe&lt;SUB&gt;2&lt;/SUB&gt; O&lt;SUB&gt;4&lt;/SUB&gt; Nano-Ferrites Synthesized Using Co-Precipitation Method
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>bdalrawf</surname><given-names>I. Ahmed</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mohamed</surname><given-names>A. Siddig</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Abdulmajid</surname><given-names>A. Mirghni</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mohamed</surname><given-names>I. Omer</given-names></name><xref ref-type="aff" rid="aff3"><sup>3</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Abdelrahman</surname><given-names>A. Elbadawi</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Department of Physics, Faculty of Science and Technology, Alneelain University, Khartoum, Sudan</addr-line></aff><aff id="aff3"><addr-line>Department of Physics, Faculty of Science and Technology, Nile Valley University, Atbara, Sudan</addr-line></aff><aff id="aff2"><addr-line>Department of Physics, Faculty of Education, Al Fashir University, Al Fashir, Sudan</addr-line></aff><pub-date pub-type="epub"><day>02</day><month>04</month><year>2015</year></pub-date><volume>04</volume><issue>02</issue><fpage>45</fpage><lpage>52</lpage><history><date date-type="received"><day>31</day>	<month>March</month>	<year>2015</year></date><date date-type="rev-recd"><day>accepted</day>	<month>5</month>	<year>May</year>	</date><date date-type="accepted"><day>8</day>	<month>May</month>	<year>2015</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  In this work, the 
  Mg<sub>1-x</sub> Zn<sub>x</sub> Fe<sub>2</sub> O<sub>4</sub> Nanoferrites (where x = 0.0, 0.2, 0.4, 0.6 and 0.8) was synthesized using co-precipitation method. The investigation of structural and optical properties was carried out for the synthesized samples using X-ray diffraction (XRD), Fourier transform infrared spectroscopy (FTIR) and Ultraviolet visible spectrophotometer (UV-Vis). XRD revealed that the structure of these nanoparticles is spinel with space group Fd3m and crystallite size lies in the range 21.0 - 42.8 nm. Lattice parameter was found to increases with Zn concentration and this may be due to the larger ionic radius of the Zn&lt;sup&gt;
  2+&lt;/sup&gt; ion. FTIR spectroscopy confirmed the formation of spinel ferrite and showed the characteristics absorption bands around 612, 1146, 1404, 1649 and 3245 cm&lt;sup&gt;
  -1&lt;/sup&gt;. The energy band gap was calculated for samples with different ratio and was found to be 4.77, 4.82, 4.86, 4.87 and 4.95 eV. The substitution was resulted in slight increased in the lattice constant and that sequentially may lead to the slightly decreased in the energy gap.
 
</p></abstract><kwd-group><kwd>Co-precipitation Method</kwd><kwd> Ferrite Nanoparticles</kwd><kwd> Spinel Structure</kwd><kwd> XRD</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Nanotechnology is one of the leading scientific fields today since it combines knowledge from the fields of Physics, Chemistry, Biology, Medicine and Engineering. The application and use of nanomaterials are extensive such as in electronic and mechanical devices, optical magnetic components, tissue engineering magnetic storage systems and magnetic resonance imaging [<xref ref-type="bibr" rid="scirp.56201-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.56201-ref2">2</xref>] . Nanotechnology and material technology are new techniques for synthesis and processing manipulation and assembly using natures own building blocks (atoms, molecules or macromolecules) for the intelligent design of functional materials, components and systems with attractive qualities and functions [<xref ref-type="bibr" rid="scirp.56201-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.56201-ref4">4</xref>] .</p><p>Ferrites are well-known magnetic nanomaterials intensively studied as a recording media due to their superior physical properties. These properties make ferrites an ideal candidate for technical applications such as magnetic resonance imaging enhancement, catalysis, sensors and pigments [<xref ref-type="bibr" rid="scirp.56201-ref5">5</xref>] . Mixed spinel ferrites have been studied intensively over the last few years due to their potential applications. Spinel ferrites have the chemical formula MFe<sub>2</sub>O<sub>4</sub> in which M can be any divalent metal cations. In spinel ferrite, oxygen forms face centre cubic (FCC) lattice with divalent cations at tetrahedral (A) and/or octahedral (B) sites. Magnesium ferrite (MgFe<sub>2</sub>O<sub>4</sub>) has an inverse spinel structure with the preference of Mg<sup>2+</sup> cations mainly on octahedral sites [<xref ref-type="bibr" rid="scirp.56201-ref6">6</xref>] -[<xref ref-type="bibr" rid="scirp.56201-ref9">9</xref>] , while Zinc ferrite (ZnFe<sub>2</sub>O<sub>4</sub>) has normal spinel structure, in which Zn<sup>2+</sup> cations mainly occupy tetrahedral sites [<xref ref-type="bibr" rid="scirp.56201-ref6">6</xref>] [<xref ref-type="bibr" rid="scirp.56201-ref10">10</xref>] .</p><p>The small scale size of the well-known spinel ferrites has opened up the door for intensive research to utilize their properties for biomedical applications [<xref ref-type="bibr" rid="scirp.56201-ref11">11</xref>] -[<xref ref-type="bibr" rid="scirp.56201-ref13">13</xref>] . Numerous methods were reported in literature showing the possibilities of producing particle with size in the range of 2 - 100 nm. Among these methods are co-preci- pitation, hydrothermal and sol-gel Methods [<xref ref-type="bibr" rid="scirp.56201-ref14">14</xref>] [<xref ref-type="bibr" rid="scirp.56201-ref15">15</xref>] , which were reported to be fast and producing high quality nanoparticles.</p><p>In this work, Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nanoferrites where x = 0.0, 0.2, 0.4, 0.6 and 0.8) were synthesized using co-pre- cipitation methods. X-ray diffraction (XRD) was used in order to investigate the structural of Zn substituted magnesium nano-ferrites and to determine the lattice parameters and the space group symmetry. Ultraviolet visible spectrometer (UV vis) and Fourier Transform Infrared Spectroscopy (FTIR) were used to investigate the optical properties of crystallite nanoparticles.</p></sec><sec id="s2"><title>2. Material and Method</title><p>Mg Zn ferrite (Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub>) nanoparticles with composition (x = 0.0, 0.2, 0.4, 0.6 and 0.8) was prepared by the co-precipitation method. <xref ref-type="fig" rid="fig1">Figure 1</xref> shows the synthesis scheme for nanoparticles production. Stoichiometric amounts from pure raw materials of Fe(NO<sub>3</sub>)<sub>3</sub>∙9H<sub>2</sub>O, Mg(NO<sub>3</sub>)<sub>2</sub>∙6H<sub>2</sub>O, Zn(NO<sub>3</sub>)<sub>2</sub>∙6H<sub>2</sub>O, and NaOH were used to prepare the required solutions with required molarities. The solution of Fe(NO<sub>3</sub>)<sub>3</sub>∙9H<sub>2</sub>O, 0.4 M (25 ml), Mg(NO<sub>3</sub>)<sub>2</sub>∙6H<sub>2</sub>O 0.2M (25 ml) and Zn(NO<sub>3</sub>)<sub>2</sub>∙6H<sub>2</sub>O were first mixed and then slowly added 3Molarity of NaOH (25 ml) solution under stirring of 3000 rpm for 30 minutes to obtain a mixture of pH 11 - 13. The colloidal solution was then kept in a water bath at 80˚C for 1 hour to assure removal of NaNO<sub>3</sub> from the powder. The produced precipitate was washed 10 times with hot deionized water until the filtrate had a pH 7 [<xref ref-type="bibr" rid="scirp.56201-ref16">16</xref>] [<xref ref-type="bibr" rid="scirp.56201-ref17">17</xref>] . Then the</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Synthesis scheme for nanoparticles production</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/4-2610163x6.png"/></fig><p>samples were dried and grinned to absolute powder and annealed to 450˚C for 6 hours in temperature controlled muffle furnace Vulcan A-550 at a heating rate 10˚C/min.</p><p>The XRD analysis was carried out to confirm the purity of the synthesize materials using Shimadzu 6000 X-ray diffractometer with Cu-kα radiation of a wavelength λ = 1.5406 &#197; source.</p><p>FTIR measurements were performed using (Mattson, model 960m0016) spectra, while the absorption of solution with different concentration was calculated using UV min 1240 spectrometer Shimadzy.</p></sec><sec id="s3"><title>3. Results and Discussion</title><sec id="s3_1"><title>3.1. Crystal Analysis</title><p>Determination of the crystal structure, the lattice parameters and the space group symmetry are importance in the study of structural, electrical and optical properties of the nanoparticle ferrites. The information of single phase Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> is confirmed after analyzing the x-ray diffraction pattern by MDI Jade 5.0, ORIGAN and FULLPROF. The crystal structure is found to be cubic with space group Fd3m. The X-ray diffraction (XRD) is carried out at room temperature. <xref ref-type="fig" rid="fig2">Figure 2</xref> shows the X-ray diffraction patterns for the sample MgFe<sub>2</sub>O<sub>4</sub> nanoparticles with x = 0.0, while <xref ref-type="fig" rid="fig3">Figure 3</xref> shows the X-ray diffraction patterns for the samples Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nanoparticles with different composition (x = 0.2, 0.4, 0.6 and 0.8). The peaks were indexed as (111), (220), (311), (222), (400), (422), (511), (440), and (533). The crystallite size, lattice constants, volume and densities are listed in <xref ref-type="table" rid="table1">Table 1</xref>. The crystal size is calculated using the Debye-Scherer’s equation [<xref ref-type="bibr" rid="scirp.56201-ref18">18</xref>] :</p><disp-formula id="scirp.56201-formula648"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/4-2610163x7.png"  xlink:type="simple"/></disp-formula><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> XRD patterns of Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nano-ferrites for x = 0</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/4-2610163x8.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> XRD patterns of Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nano-ferrites for x = 0.2, 0.4, 0.6 and 0.8</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/4-2610163x9.png"/></fig><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Particle size (D), Lattice constant (a), Volume and Density of Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nano-ferrites</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Density (g/cm<sup>3</sup>)</th><th align="center" valign="middle" >Volume (nm<sup>−3</sup>)</th><th align="center" valign="middle" >Lattice constant (&#197;)</th><th align="center" valign="middle" >Crystal size (nm)</th><th align="center" valign="middle" >Samples</th><th align="center" valign="middle" >No.</th></tr></thead><tr><td align="center" valign="middle" >5.175</td><td align="center" valign="middle" >529.5</td><td align="center" valign="middle" >8.09</td><td align="center" valign="middle" >42.8</td><td align="center" valign="middle" >MgFe<sub>2</sub>O<sub>4</sub></td><td align="center" valign="middle" >1</td></tr><tr><td align="center" valign="middle" >4.522</td><td align="center" valign="middle" >587.4</td><td align="center" valign="middle" >8.38</td><td align="center" valign="middle" >26.6</td><td align="center" valign="middle" >Mg<sub>0.8</sub>Zn<sub>0.2</sub>Fe<sub>2</sub>O<sub>4</sub><sub> </sub></td><td align="center" valign="middle" >2</td></tr><tr><td align="center" valign="middle" >4.502</td><td align="center" valign="middle" >590.0</td><td align="center" valign="middle" >8.39</td><td align="center" valign="middle" >24.1</td><td align="center" valign="middle" >Mg<sub>0.6</sub>Zn<sub>0.4</sub>Fe<sub>2</sub>O<sub>4</sub></td><td align="center" valign="middle" >3</td></tr><tr><td align="center" valign="middle" >5.176</td><td align="center" valign="middle" >591.9</td><td align="center" valign="middle" >8.40</td><td align="center" valign="middle" >21.0</td><td align="center" valign="middle" >Mg<sub>0.4</sub>Zn<sub>0.6</sub>Fe<sub>2</sub>O<sub>4</sub></td><td align="center" valign="middle" >4</td></tr><tr><td align="center" valign="middle" >5.070</td><td align="center" valign="middle" >601.5</td><td align="center" valign="middle" >8.44</td><td align="center" valign="middle" >23.2</td><td align="center" valign="middle" >Mg<sub>0.2</sub>Zn<sub>0.8</sub>Fe<sub>2</sub>O<sub>4</sub></td><td align="center" valign="middle" >5</td></tr></tbody></table></table-wrap><p>where D is the average crystallite size, q is the diffraction angle, λ is the wavelength of incident X-ray and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/4-2610163x10.png" xlink:type="simple"/></inline-formula> is the full width at half maximum (FWHM) of the (XRD) peak in units of radians. The crystallite size vs. Zn concentration is plotted in <xref ref-type="fig" rid="fig4">Figure 4</xref> and the crystallite size is found to scattered in the range 21 - 42.8 nm for different compositions. In the obtained diffraction pattern the lattice constants are found to increase from (8.09 - 8.44 &#197;) as the Zn concentration increased. The particle size of the nanocrystalline samples, calculated from the XRD data using Equation (1), are remained within the range (21.0 - 42.8 nm). The increased in lattice constant with Zn concentration may be due to the fact that Zn<sup>2+</sup> ions (0.82 &#197;) is larger than that of the Mg<sup>2+</sup> ions (0.72 &#197;). Addition of Zn<sup>2+</sup> at the expense of Mg<sup>2+</sup> in the ferrite is expected to increase the lattice constant. The lattice parameter (a) is estimated using lattice spacing (d) values and respective miller indices (hkl). The lattice constant (a) was calculated by MDI Jade 5.0 program and using the equation [<xref ref-type="bibr" rid="scirp.56201-ref19">19</xref>] :</p><disp-formula id="scirp.56201-formula649"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/4-2610163x11.png"  xlink:type="simple"/></disp-formula><p>where a is the lattice parameter, d is the lattice spacing and h, k, l are the miller indices. The lattice parameter is obtained using XRD data lies in the range of 8.1 - 8.4 &#197; for different Zn concentration as shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>. It increases with increasing Zn concentration due to the larger ionic radius of Zn<sup>2+</sup> (0.08 nm) Cation as compared to ionic radius of Mg<sup>2+</sup> (0.06 nm) Cation [<xref ref-type="bibr" rid="scirp.56201-ref20">20</xref>] [<xref ref-type="bibr" rid="scirp.56201-ref21">21</xref>] .</p></sec><sec id="s3_2"><title>3.2. FTIR Analysis</title><p>In order to investigate the chemical functional groups on the the synthesized Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub>, FTIR spectroscopy are performed. The FTIR of nanocrystals powders (as pellets in KBr) in the range of 400 cm<sup>−1</sup> to 4000 cm<sup>−1</sup> is shown in <xref ref-type="fig" rid="fig6">Figure 6</xref> for pure sample where x = 0. The FTIR of Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nano-ferrites powders for samples where x = 0.2, 0.4, 0.6 and 0.8 is plotted and shown in <xref ref-type="fig" rid="fig7">Figure 7</xref>. The bands (ʋ<sub>1</sub>, ʋ<sub>2</sub>) for the samples are found to be in range 3148 - 3450 cm<sup>−1</sup> and 1644 - 1649 cm<sup>−1</sup>, respectively. These observed bands maybe are due to the O-H stretching vibration of the free absorbed water and indicates the existence of hydroxyl groups in the synthesized ferrites, which is observed in previous experiments [<xref ref-type="bibr" rid="scirp.56201-ref22">22</xref>] [<xref ref-type="bibr" rid="scirp.56201-ref23">23</xref>] . The band (ʋ<sub>3</sub>) for the samples are observed around 1404 cm<sup>−1</sup> and is attributed to the C=O stretching vibration of the carboxyl group. In range 1107 - 1147 cm<sup>−1</sup>, the band (ʋ<sub>4</sub>) is observed and is related to the stretching vibration due to nitrate group [<xref ref-type="bibr" rid="scirp.56201-ref24">24</xref>] [<xref ref-type="bibr" rid="scirp.56201-ref25">25</xref>] . In the range of 800 - 400 cm<sup>−1</sup>, two main absorption bands with very low intensity are observed around 400 and 600 cm<sup>−1</sup> and may be is caused by metal oxygen vibration in the octahedral side. The ʋ<sub>1</sub>, ʋ<sub>2</sub>, ʋ<sub>3</sub>, ʋ<sub>4</sub> and ʋ<sub>5</sub> are absorption bands around 3148 - 3450, 1644 - 1649, 1404, 1107 - 1147 and 612 - 663 cm<sup>−1</sup>, respectively for the samples with different compositions and are attributed to the vibration of the tetrahedral and octahedral metal-oxygen (M-O) bands in the lattices of the synthesized nanocrystals. The FTIR frequency bands for various Zn and Mg contents are listed in <xref ref-type="table" rid="table2">Table 2</xref>.</p></sec><sec id="s3_3"><title>3.3. UV Visible Analysis</title><p>The absorption as a function of wavelength for sample Mg<sub>0.6</sub>Zn<sub>0.4</sub>Fe<sub>2</sub>O<sub>4</sub> is shown in <xref ref-type="fig" rid="fig8">Figure 8</xref>. Maximum absorption for the sample is observed at wavelength 232.4 nm. Several models are used to determine the optical properties of nano ferrites. The most widespread is the Tauc model which allows the derive of the band gap energy E<sub>g</sub> from (αhʋ)<sup>2</sup> as function of the incident energy (hʋ). The Tauc optical gap associated with the Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nano ferrites is determine through an extrapolation of the linear trend observed in the spectral</p><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Particle size as a function of Zn concentration of Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nano-ferrites</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/4-2610163x12.png"/></fig><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Lattice parameter as a function of Zn concentration of Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nano-ferrites</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/4-2610163x13.png"/></fig><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> The FTIR spectrum of Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nano-ferrites for x = 0</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/4-2610163x14.png"/></fig><p>dependence of (αhʋ)<sup>2</sup> over a limited range of photon energies hʋ. The Tauc optical gap is defined as occurring at the intercept of this linear extrapolation with Y axis. The absorption coefficient α near the band edge in many Nano ferrites shows an exponential upon photon energy usually obeying the relation [<xref ref-type="bibr" rid="scirp.56201-ref26">26</xref>] :</p><disp-formula id="scirp.56201-formula650"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/4-2610163x15.png"  xlink:type="simple"/></disp-formula><p>where, α is the absorption coefficient and A is known as edge width parameter, E<sub>g</sub> is the energy band gap, n = (1/2, 1, 2) is the a constant dependent on the degree of transition, (hʋ) is incident photon energy. The band gap is</p><fig id="fig7"  position="float"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> The FTIR spectrum of Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nano-ferrites for x = 0.2, 0.4, 0.6 and 0.8</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/4-2610163x16.png"/></fig><fig id="fig8"  position="float"><label><xref ref-type="fig" rid="fig8">Figure 8</xref></label><caption><title> Absorption as a function of wavelength for sample of Mg<sub>0.6</sub>Zn<sub>0.4</sub>Fe<sub>2</sub>O<sub>4</sub> composition</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/4-2610163x17.png"/></fig><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Wave numbers, wavelength, and energy band gaps of Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nano-ferrites</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Energy gap E<sub>g</sub><sub> </sub>(eV)</th><th align="center" valign="middle" >ʋ<sub>5</sub></th><th align="center" valign="middle" >ʋ<sub>4</sub></th><th align="center" valign="middle" >ʋ<sub>3</sub></th><th align="center" valign="middle" >ʋ<sub>2</sub></th><th align="center" valign="middle" >ʋ<sub>1</sub></th><th align="center" valign="middle" >Samples</th><th align="center" valign="middle" >No.</th></tr></thead><tr><td align="center" valign="middle" >4.77</td><td align="center" valign="middle" >612</td><td align="center" valign="middle" >1146</td><td align="center" valign="middle" >1404</td><td align="center" valign="middle" >1649</td><td align="center" valign="middle" >3245</td><td align="center" valign="middle" >MgFe<sub>2</sub>O<sub>4</sub></td><td align="center" valign="middle" >1</td></tr><tr><td align="center" valign="middle" >4.82</td><td align="center" valign="middle" >612</td><td align="center" valign="middle" >1146</td><td align="center" valign="middle" >1404</td><td align="center" valign="middle" >1649</td><td align="center" valign="middle" >3245</td><td align="center" valign="middle" >Mg<sub>0.8</sub>Zn<sub>0.2</sub>Fe<sub>2</sub>O<sub>4</sub></td><td align="center" valign="middle" >2</td></tr><tr><td align="center" valign="middle" >4.86</td><td align="center" valign="middle" >663</td><td align="center" valign="middle" >1107</td><td align="center" valign="middle" >1404</td><td align="center" valign="middle" >1649</td><td align="center" valign="middle" >3450</td><td align="center" valign="middle" >Mg<sub>0.6</sub>Zn<sub>0.4</sub>Fe<sub>2</sub>O<sub>4</sub></td><td align="center" valign="middle" >3</td></tr><tr><td align="center" valign="middle" >4.87</td><td align="center" valign="middle" >612</td><td align="center" valign="middle" >1140</td><td align="center" valign="middle" >1404</td><td align="center" valign="middle" >1644</td><td align="center" valign="middle" >3148</td><td align="center" valign="middle" >Mg<sub>0.4</sub>Zn<sub>0.6</sub>Fe<sub>2</sub>O<sub>4</sub></td><td align="center" valign="middle" >4</td></tr><tr><td align="center" valign="middle" >4.95</td><td align="center" valign="middle" >613</td><td align="center" valign="middle" >1120</td><td align="center" valign="middle" >1404</td><td align="center" valign="middle" >1649</td><td align="center" valign="middle" >3419</td><td align="center" valign="middle" >Mg<sub>0.2</sub>Zn<sub>0.8</sub>Fe<sub>2</sub>O<sub>4</sub></td><td align="center" valign="middle" >5</td></tr></tbody></table></table-wrap><p>then evaluated by plotting (hʋ) versus (αhʋ)<sup>2</sup> and extrapolating the tangent on the X-axis (Tauc plots). <xref ref-type="fig" rid="fig9">Figure 9</xref> shows Tauc plot method for sample of MgFe<sub>2</sub>O<sub>4</sub>, and the energy band gap are found to be 4.77, 4.82, 4.86, 4.87 and 4.95 eV for samples with different concentration (x = 0.2, 0.4, 0.6 and 0.8), respectively.</p></sec></sec><sec id="s4"><title>4. Conclusion</title><p>Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nanparticles was prepared successfully using co-precipitation method. The formation of single phase crystallite structure with size in the range 21.0 - 42.8 nm was confirmed by X-ray diffraction. Lattice parameter was found to increase with Zn concentration and this may be due to the larger ionic radius of the Zn<sup>2+</sup> ion. FTIR spectrum exhibited expected main absorption bands, thereby confirming the spinel structure. Optical band gap energy Mg<sub>1-x</sub>Zn<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub> nanoferrite was found to be in the range 4.77 to 4.95 eV for samples with different ratio of Mg Zn. The synthesized nanoferrites are expected to be useful in several technological applications such as soft magnets and magnetic fluids for hyperthermia. The structural and properties of spinel ferrites</p><fig id="fig9"  position="float"><label><xref ref-type="fig" rid="fig9">Figure 9</xref></label><caption><title> Plot of (αhn)<sup>2</sup> versus hn for MgFe<sub>2</sub>O<sub>4</sub> nano-ferrites</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/4-2610163x18.png"/></fig><p>depend upon the method of preparation, the nature of substitutional element and the concentration of the substitution element. Attempts can be made to prepare the samples by different methods to get desired properties and crystallite size.</p></sec><sec id="s5"><title>Acknowledgements</title><p>Abdalrawf I. 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