<?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">NJGC</journal-id><journal-title-group><journal-title>New Journal of Glass and Ceramics</journal-title></journal-title-group><issn pub-type="epub">2161-7554</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/njgc.2015.52003</article-id><article-id pub-id-type="publisher-id">NJGC-54998</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>
 
 
  Role of Bismuth and Substrate Temperature on the Optical Properties of Some Flash Evaporated Se&lt;SUB&gt;100-X&lt;/SUB&gt; Bi&lt;SUB&gt;X&lt;/SUB&gt; Glassy System
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>ustine</surname><given-names>A. Mulama</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>Julius</surname><given-names>M. Mwabora</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>Andrew</surname><given-names>O. Oduor</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>Cosmas</surname><given-names>M. Muiva</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>Boniface</surname><given-names>Muthoka</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>Betty</surname><given-names>N. Amukayia</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>Drinold</surname><given-names>A. Mbete</given-names></name><xref ref-type="aff" rid="aff4"><sup>4</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Department of Physics, University of Nairobi, Nairobi, Kenya</addr-line></aff><aff id="aff4"><addr-line>Department of Mathematics, Masinde Muliro University of Science and Technology, Kakamega, Kenya</addr-line></aff><aff id="aff3"><addr-line>Department of Physics, Botswana International University of Science &amp;amp; Technology, Palapye, Botswana</addr-line></aff><aff id="aff2"><addr-line>Department of Physics &amp;amp; Materials Science, Maseno University, Maseno, Kenya</addr-line></aff><pub-date pub-type="epub"><day>15</day><month>02</month><year>2015</year></pub-date><volume>05</volume><issue>02</issue><fpage>16</fpage><lpage>24</lpage><history><date date-type="received"><day>28</day>	<month>February</month>	<year>2015</year></date><date date-type="rev-recd"><day>accepted</day>	<month>21</month>	<year>March</year>	</date><date date-type="accepted"><day>25</day>	<month>March</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>
 
 
  Chalcogenide glasses are very important in the modern technology especially selenium-based. These glasses are sensitive to electromagnetic radiation useful in the infrared optics. The study investigated the effect of substrate temperature on the as-deposited selenium-bismuth thin films in addition to bismuth content. The films were deposited by flash evaporation method. Thickness of the films was measured on a surface profiler and confirmed through calculation based on the Swanepoel method. The spectral range of study was between 200 - 3000 nm. It is found that the effect of increasing bismuth content on the as-deposited films led to increased absorption coefficient, reflectance, refractive index and extinction coefficient while transmittance and optical band gap energy decreased. On the other hand, reflectance, absorption coefficient, extinction coefficient, refractive index, real and imaginary parts of dielectric constant increased with increase in substrate temperature but transmittance and optical band gap energy decreased.
 
</p></abstract><kwd-group><kwd>Chalcogenide Glass</kwd><kwd> Selenium-Bismuth Alloy</kwd><kwd> Substrate Temperature</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Sulphur, selenium, and tellurium from group 6 of the periodic table, combine with other elements like germanium, antimony, lead, gallium, among others, to form chalcogenide glasses [<xref ref-type="bibr" rid="scirp.54998-ref1">1</xref>] . These glasses are rigid materials whose structures lack crystalline periodicity or long-range order. Information on the short-range order structure of chalcogenide glasses is particularly valuable in order to establish useful correlations between their structural and microscopic properties. Chalcogenide glasses are future prospective materials which would provide less expensive technical devices in the field of optoelectronics, owing to their versatile thermo-physical, optical, mid- infrared and electrical properties [<xref ref-type="bibr" rid="scirp.54998-ref2">2</xref>] . The area of selenium-based chalcogenide glasses is still growing and open for investigation. Amorphous selenium-based chalcogenides have the unique property of reversible transformation, making these alloys useful in optical memory device formation [<xref ref-type="bibr" rid="scirp.54998-ref3">3</xref>] . Pure amorphous selenium is unstable and less sensitive to electromagnetic radiation in standard operational conditions because its glass transition tem- perature (about 42˚C) is close to room temperature putting it in perpetual danger of crystallization [<xref ref-type="bibr" rid="scirp.54998-ref4">4</xref>] . In order to stabilize these glasses, it is common to add certain additives which act as cross-linking agents and increase the dimensionality of structure and stability of the selenium chalcogenide glass. The glass transition temperature of stabilized selenium is about 70˚C [<xref ref-type="bibr" rid="scirp.54998-ref5">5</xref>] .</p><p>The role of bismuth in affecting the optical properties of the glasses of amorphous selenium system in addition to substrate temperature has been investigated. There is limited literature on the effect of substrate temperature on the optical properties of the as-deposited Se-Bi thin films. Addition of bismuth to selenium films is said to increase the stability, sensitivity of the films and changes the carrier type [<xref ref-type="bibr" rid="scirp.54998-ref6">6</xref>] . Bismuth on the order of about 0.5 to 5.0 atomic percent in combination with selenium has been found to be sensitive in the infrared region [<xref ref-type="bibr" rid="scirp.54998-ref7">7</xref>] .</p></sec><sec id="s2"><title>2. Experimental Details</title><p>Glassy alloys of Se<sub>100−x</sub>Bi<sub>x</sub> (x = 0, 2, and 4 at. %) were prepared by normal melt quenching technique under evacuated quartz ampoules (Edwards AUTO 306 Vacuum system, UK). The sealed ampoules were kept in a rotatable programmable furnace where the temperature was raised to 900˚C at a rate of 4˚C per minute and maintained at this temperature for 12 hours to ensure complete melting and homogenization of the mixture. This temperature was chosen because chalcogenide glasses belong to substances which have incongruent melting points and exhibit high partial vapour pressures during melting.</p><p>Selenium vapours with the main constituents of Se<sub>6</sub> and Se<sub>5</sub> molecules remain at nearly constant concentration at about 730˚C [<xref ref-type="bibr" rid="scirp.54998-ref8">8</xref>] . The ampoules were quenched by removing them from the furnace at the highest temperature and dropping in ice cold water to form amorphous bulk samples. The rate at which the temperature was raised of 4˚C per minute ensured that there was no sudden build up of pressure in the ampoules. The ampoules were broken to obtain the solid alloy that was crushed into powder for flash evaporation under vacuum (Edwards AUTO 306 Vacuum system, UK). The optimum substrate-source distance was predetermined to be 11cm. The substrate temperatures were: 51˚C, 55˚C, and 59˚C. The deposition rate was 1000 &#197;s<sup>−1</sup>.</p><p>The amorphous nature of the deposited films was verified by X-Ray Diffraction machine (Phillips PW3710, UK). Film thickness was measured using a computerized KLA-Tencor Alpha-Step IQ surface profiler whose resolution was 0.01 &#181;m (KLA-Tencor Corporation, USA). Hence, the measured thickness was 350 &#177; 10 nm. The thickness calculated based on Swanepoel method was within &#177;10 nm from that obtained from the surface profiler. Transmittance and reflectance measurements were measured on a SolidSpec.3700 DUV, UV-VIS-NIR Spec- trophotometer (SolidSpec.3700 DUV, Kyoto-Japan). The optical transmission spectra in the wavelength range 200 nm - 3000 nm have been used to calculate the optical parameters in the amorphous thin films of Se<sub>100−x</sub>Bi<sub>x</sub>.</p><p>For maximum transmission [<xref ref-type="bibr" rid="scirp.54998-ref9">9</xref>] :</p><disp-formula id="scirp.54998-formula344"><label>, (2.1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1030115x6.png"  xlink:type="simple"/></disp-formula><p>where <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x7.png" xlink:type="simple"/></inline-formula> is the film thickness</p><p>The absorption coefficient <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x8.png" xlink:type="simple"/></inline-formula> and extinction coefficient <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x9.png" xlink:type="simple"/></inline-formula> are related by the following expression [<xref ref-type="bibr" rid="scirp.54998-ref10">10</xref>] ;</p><disp-formula id="scirp.54998-formula345"><label>, (2.2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1030115x10.png"  xlink:type="simple"/></disp-formula><p>where <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x11.png" xlink:type="simple"/></inline-formula> is the wavelength</p><p>Refractive index, real and imaginary parts of dielectric constant and the indirect allowed optical band gap energy were determined from the following expressions [<xref ref-type="bibr" rid="scirp.54998-ref11">11</xref>] -[<xref ref-type="bibr" rid="scirp.54998-ref13">13</xref>] :</p><disp-formula id="scirp.54998-formula346"><label>, (2.3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1030115x12.png"  xlink:type="simple"/></disp-formula><p>where<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x13.png" xlink:type="simple"/></inline-formula>, and<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x14.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x15.png" xlink:type="simple"/></inline-formula>, are the maximum and minimum transmittance envelope functions respectively, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x16.png" xlink:type="simple"/></inline-formula>is the substrate refractive index</p><disp-formula id="scirp.54998-formula347"><label>, (2.4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1030115x17.png"  xlink:type="simple"/></disp-formula><p>where<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x18.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x19.png" xlink:type="simple"/></inline-formula>are the real and imaginary parts of the dielectric constant</p><p>The band gap energy was calculated using the following expression;</p><disp-formula id="scirp.54998-formula348"><label>(2.5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1030115x20.png"  xlink:type="simple"/></disp-formula><p>where <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x21.png" xlink:type="simple"/></inline-formula> is the absorption coefficient, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x21.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x22.png" xlink:type="simple"/></inline-formula>is a constant, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x21.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x22.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x23.png" xlink:type="simple"/></inline-formula>is the photon energy, and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x21.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x22.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x23.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x24.png" xlink:type="simple"/></inline-formula> is the optical band gap energy.</p><p>If <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x25.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x25.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x26.png" xlink:type="simple"/></inline-formula> are the refractive indices at two adjacent maxima (or minima) at <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x25.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x26.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x27.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x25.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x26.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x27.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x28.png" xlink:type="simple"/></inline-formula> (Wavelengths), then the film thickness is determined according to [<xref ref-type="bibr" rid="scirp.54998-ref11">11</xref>] :</p><disp-formula id="scirp.54998-formula349"><label>. (2.6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1030115x29.png"  xlink:type="simple"/></disp-formula></sec><sec id="s3"><title>3. Results and Discussion</title><p>Results on the flash evaporated Se<sub>100−x</sub>Bi<sub>x</sub> (x = 0, 2, and 4 at. %) thin films deposited on glass substrates at temperatures of 51˚C, 55˚C, and 59˚C and whose thickness is 350 &#177; 10 nm are presented. The substrate temperature is slightly above the maximum temperature for the ratio of chains and rings in the amorphous selenium to be at balance, which is usually at 50˚C [<xref ref-type="bibr" rid="scirp.54998-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.54998-ref14">14</xref>] . Amorphous selenium films prepared at a substrate temperature of about 65˚C may have enough vibrational energy to break some weak bonds. This leads to translational degrees of freedom, making the system to change from amorphous to polycrystalline state [<xref ref-type="bibr" rid="scirp.54998-ref14">14</xref>] .</p><sec id="s3_1"><title>3.1. Results</title><p>Calculated film thicknesses according to Equation (2.6) [<xref ref-type="bibr" rid="scirp.54998-ref11">11</xref>] are given in <xref ref-type="table" rid="table1">Table 1</xref>. The values agree with that obtained from the surface profiler.</p><p>Transmittance and reflectance of the as-deposited thin films at substrate temperatures of 51˚C, 55˚C and 59˚C revealed that both transmittance (<xref ref-type="fig" rid="fig1">Figure 1</xref>(a)) and reflectance (<xref ref-type="fig" rid="fig1">Figure 1</xref>(b)) increased with increase in wave-</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Calculated values of film thickness from Swanepoel Method</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x30.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x31.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x32.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x33.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x34.png" xlink:type="simple"/></inline-formula></th></tr></thead><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x35.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >800</td><td align="center" valign="middle" >603</td><td align="center" valign="middle" >2.726</td><td align="center" valign="middle" >2.922</td><td align="center" valign="middle" >348</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >910</td><td align="center" valign="middle" >622</td><td align="center" valign="middle" >2.592</td><td align="center" valign="middle" >2.649</td><td align="center" valign="middle" >354</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >1095</td><td align="center" valign="middle" >674</td><td align="center" valign="middle" >2.527</td><td align="center" valign="middle" >2.547</td><td align="center" valign="middle" >340</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >1401</td><td align="center" valign="middle" >768</td><td align="center" valign="middle" >2.490</td><td align="center" valign="middle" >2.513</td><td align="center" valign="middle" >335</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x36.png" xlink:type="simple"/></inline-formula></td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x37.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >980</td><td align="center" valign="middle" >667</td><td align="center" valign="middle" >2.775</td><td align="center" valign="middle" >2.874</td><td align="center" valign="middle" >338</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >1085</td><td align="center" valign="middle" >699</td><td align="center" valign="middle" >2.669</td><td align="center" valign="middle" >2.720</td><td align="center" valign="middle" >349</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >1255</td><td align="center" valign="middle" >749</td><td align="center" valign="middle" >2.537</td><td align="center" valign="middle" >2.611</td><td align="center" valign="middle" >341</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >1609</td><td align="center" valign="middle" >847</td><td align="center" valign="middle" >2.362</td><td align="center" valign="middle" >2.480</td><td align="center" valign="middle" >342</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x38.png" xlink:type="simple"/></inline-formula></td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x39.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >1107</td><td align="center" valign="middle" >736</td><td align="center" valign="middle" >2.862</td><td align="center" valign="middle" >2.960</td><td align="center" valign="middle" >348</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >1211</td><td align="center" valign="middle" >766</td><td align="center" valign="middle" >2.682</td><td align="center" valign="middle" >2.784</td><td align="center" valign="middle" >352</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >1504</td><td align="center" valign="middle" >827</td><td align="center" valign="middle" >2.522</td><td align="center" valign="middle" >2.607</td><td align="center" valign="middle" >339</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >1718</td><td align="center" valign="middle" >868</td><td align="center" valign="middle" >2.395</td><td align="center" valign="middle" >2.474</td><td align="center" valign="middle" >343</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x40.png" xlink:type="simple"/></inline-formula></td></tr></tbody></table></table-wrap><fig-group id="fig1"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> (a) Transmittance against wavelength at different substrate temperatures. (b) Reflectance against wavelength at different substrate temperatures.</title></caption><fig id ="fig1_1"><label>(b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x41.png"/></fig><fig id ="fig1_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x42.png"/></fig><fig id ="fig1_3"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x43.png"/></fig><fig id ="fig1_4"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x44.png"/></fig><fig id ="fig1_5"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x45.png"/></fig><fig id ="fig1_6"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x46.png"/></fig></fig-group><p>length. There were interference patterns in the transmittance spectra. The transmittance was zero at low wavelengths (200 nm - 500 nm).</p><p>The variation of absorption coefficient for the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x47.png" xlink:type="simple"/></inline-formula> thin films with photon energy grown at different substrate temperatures is displayed in <xref ref-type="fig" rid="fig2">Figure 2</xref>. It is observed that the absorption coefficient increases with increase in substrate temperature and bismuth content.</p><p>It is clear from <xref ref-type="fig" rid="fig3">Figure 3</xref> that the extinction coefficient of the as-deposited thin films increases with increase in substrate temperature and bismuth content.</p><p>It is observed from <xref ref-type="fig" rid="fig4">Figure 4</xref> that as the substrate temperature and bismuth content increased, the refractive index increased.</p><p>From <xref ref-type="fig" rid="fig5">Figure 5</xref>, it is observed that the graph of real part of dielectric constant against wavelength is similar to the graph of refractive index against wavelength.</p><p>The optical band gap energy, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x48.png" xlink:type="simple"/></inline-formula>was determined from a plot of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x48.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x49.png" xlink:type="simple"/></inline-formula> against photon energy (eV) according to [<xref ref-type="bibr" rid="scirp.54998-ref15">15</xref>] . Other researchers have also found selenium rich binary and ternary glasses to obey the indirect rule transition [<xref ref-type="bibr" rid="scirp.54998-ref16">16</xref>] [<xref ref-type="bibr" rid="scirp.54998-ref17">17</xref>] . Indirect optical band gap energy from the studied thin films was observed to decrease with increase in substrate temperature and bismuth content as shown in <xref ref-type="fig" rid="fig6">Figure 6</xref>.</p><p>Figures 7(a)-(b) show an increase in reflectance, absorption coefficient, extinction coefficient, refractive index, real and imaginary parts of the dielectric constant and a decrease in the transmittance and optical band gap energy as substrate temperature increases.</p><p>The optical band gap energy (eV) tabulated in <xref ref-type="table" rid="table2">Table 2</xref> <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x50.png" xlink:type="simple"/></inline-formula> is found to decrease as bismuth content and substrate temperature increase.</p><p><xref ref-type="fig" rid="fig8">Figure 8</xref> shows X-Ray Diffraction patterns of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x51.png" xlink:type="simple"/></inline-formula>thin films of thickness<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x51.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x52.png" xlink:type="simple"/></inline-formula>. The figure revealed that the as-deposited films are amorphous in nature as no prominent peak was observed in their patterns. Absence of any sharp peaks in X-Ray Diffraction patterns confirmed the glassy nature of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x51.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x52.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x53.png" xlink:type="simple"/></inline-formula> thin films [<xref ref-type="bibr" rid="scirp.54998-ref17">17</xref>] . This simply means that the grain size of the films was so small and that the disorder within these grains was so high that no specific diffraction peaks could be detected. The humps as observed in <xref ref-type="fig" rid="fig8">Figure 8</xref> are the effect of the glass substrate as confirmed from the pattern of the blank glass substrate. Presence of humps in the</p><fig-group id="fig2"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Absorption coefficient against photon energy at different substrate temperatures.</title></caption><fig id ="fig2_1"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x54.png"/></fig><fig id ="fig2_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x55.png"/></fig><fig id ="fig2_3"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x56.png"/></fig></fig-group><fig-group id="fig3"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Extinction coefficient against photon energy at different substrate temperatures.</title></caption><fig id ="fig3_1"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x57.png"/></fig><fig id ="fig3_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x58.png"/></fig><fig id ="fig3_3"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x59.png"/></fig></fig-group><fig-group id="fig4"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Refractive index against wavelength at different substrate temperatures.</title></caption><fig id ="fig4_1"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x60.png"/></fig><fig id ="fig4_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x61.png"/></fig><fig id ="fig4_3"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x62.png"/></fig></fig-group><fig-group id="fig5"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Real part of dielectric constant against wavelength at different substrate temperatures.</title></caption><fig id ="fig5_1"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x63.png"/></fig><fig id ="fig5_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x64.png"/></fig><fig id ="fig5_3"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x65.png"/></fig></fig-group><p>XRD patterns is verification of small to medium range order in amorphous thin films [<xref ref-type="bibr" rid="scirp.54998-ref18">18</xref>] .</p></sec><sec id="s3_2"><title>3.2. Discussion</title><p>The transmittance spectra of the as-deposited amorphous <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x66.png" xlink:type="simple"/></inline-formula> thin films exhibited oscillatory behavior</p><fig-group id="fig6"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> Energy gap against photon energy at different substrate temperature.</title></caption><fig id ="fig6_1"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x67.png"/></fig><fig id ="fig6_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x68.png"/></fig><fig id ="fig6_3"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x69.png"/></fig></fig-group><p>possibly due to interference patterns between the wave fronts reflected from the two surfaces of thin films. This was an indication of optical homogeneity of the deposited films [<xref ref-type="bibr" rid="scirp.54998-ref18">18</xref>] . The transmittance was zero in the lower wavelength region due to photon absorption. The transmittance of the as-deposited thin films decreased with the increase in bismuth concentration. This is due to defects introduced in the deposited films by the bismuth addition which led to increase in light absorption. Increase in substrate temperature from 51˚C to 59˚C led to decrease in transmittance at specific wavelengths especially in the visible region but reflectance increased. This trend has been observed by other authors while studying other chalcogenide thin films [<xref ref-type="bibr" rid="scirp.54998-ref17">17</xref>] [<xref ref-type="bibr" rid="scirp.54998-ref19">19</xref>] . The transmission spectra shifted towards the visible range on bismuth addition, showing an improvement in the photo-re- sponse of the system as observed from the reduced band gap energy. This is an indication of increase in absorption of light by the deposited films.</p><p>The increased absorption coefficient with bismuth addition and increased substrate temperature consequently implies reduction in transmittance of the films and also an indication of less transparent films. The values of the absorption coefficient are in the order of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x70.png" xlink:type="simple"/></inline-formula> and have been observed by other authors [<xref ref-type="bibr" rid="scirp.54998-ref19">19</xref>] [<xref ref-type="bibr" rid="scirp.54998-ref20">20</xref>] . Increase in extinction coefficient was due to the effect of absorption coefficient of the films. The general low values of extinction coefficient in the order of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x70.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x71.png" xlink:type="simple"/></inline-formula> in the visible region may be a qualitative indication of excellent surface smoothness of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x70.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x71.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x72.png" xlink:type="simple"/></inline-formula> thin films. This behavior of increase of extinction coefficient with substrate temperature is well correlated with low transmittance observed in the visible region at specific wavelengths.</p><p>Refractive index increased with increase in both bismuth content and substrate temperature. Increase in refractive index as the bismuth content increases may also be due to increased polarizability of the larger bismuth atoms compared to selenium atoms. The atomic radius of bismuth is 1.50 &#197; and that of selenium is 1.20 &#197; [<xref ref-type="bibr" rid="scirp.54998-ref21">21</xref>] . Since the atomic radius of bismuth is greater than that of selenium, its polarizability is higher than that of selenium according to Lorentz-Lorenz relation [<xref ref-type="bibr" rid="scirp.54998-ref22">22</xref>] :</p><disp-formula id="scirp.54998-formula350"><label>(3.1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1030115x73.png"  xlink:type="simple"/></disp-formula><p>where <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x74.png" xlink:type="simple"/></inline-formula> is the vacuum permittivity, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x74.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x75.png" xlink:type="simple"/></inline-formula>is the number of polarisable units of type <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x74.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x75.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x76.png" xlink:type="simple"/></inline-formula> per unit volume with polarizability, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x74.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x75.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x76.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x77.png" xlink:type="simple"/></inline-formula></p><p>The increase of refractive index with substrate temperature may be due to narrowing of pores since the film surface gets denser as temperature of the substrate increases. The real part of the dielectric constant indicates the amount of light slowed down by the films and the imaginary part of the dielectric constant shows how a dielectric material absorbs energy from light. Both the real and imaginary parts of the dielectric constant increased with increase in bismuth content and substrate temperature. The values of real part of dielectric constant were greater than those for imaginary part which has also been observed by [<xref ref-type="bibr" rid="scirp.54998-ref17">17</xref>] .</p><p>There was a decrease in optical band gap of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x78.png" xlink:type="simple"/></inline-formula> thin films with substrate temperature and bismuth concentration. Substrate temperature may have induced modifications in the density of the unsaturated bonds because of insufficient number of atoms deposited in the amorphous films [<xref ref-type="bibr" rid="scirp.54998-ref14">14</xref>] [<xref ref-type="bibr" rid="scirp.54998-ref23">23</xref>] . The unsaturated bonds are responsible for the formation of gap states in the films that contribute to the effective spread in the localized states near the mobility edges. The presence of a high concentration of localized states is assumed to be responsible for the decrease in the optical band gap in the as-deposited thin films [<xref ref-type="bibr" rid="scirp.54998-ref24">24</xref>] . Decrease in optical band gap</p><fig-group id="fig7"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> (a) Transmittance, band gap energy, reflectance, and refractive index against substrate temperature at λ = 700 nm. (b) Extinction coefficient, absorption coefficient, real and imaginary parts of dielectric constant against substrate temperature at λ = 700 nm.</title></caption><fig id ="fig7_1"><label>(b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x79.png"/></fig><fig id ="fig7_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x80.png"/></fig><fig id ="fig7_3"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x81.png"/></fig><fig id ="fig7_4"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x82.png"/></fig><fig id ="fig7_5"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x83.png"/></fig><fig id ="fig7_6"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x84.png"/></fig><fig id ="fig7_7"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x85.png"/></fig><fig id ="fig7_8"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x86.png"/></fig></fig-group><fig id="fig8"  position="float"><label><xref ref-type="fig" rid="fig8">Figure 8</xref></label><caption><title> XRD patterns for the as-deposited films</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1030115x87.png"/></fig><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Optical band gap (eV) of the as-deposited thin films</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Sub.tem./at.%</th><th align="center" valign="middle" >x = 0</th><th align="center" valign="middle" >x = 2</th><th align="center" valign="middle" >x = 4</th></tr></thead><tr><td align="center" valign="middle" >51˚C</td><td align="center" valign="middle" >1.681</td><td align="center" valign="middle" >1.625</td><td align="center" valign="middle" >1.626</td></tr><tr><td align="center" valign="middle" >55˚C</td><td align="center" valign="middle" >1.641</td><td align="center" valign="middle" >1.632</td><td align="center" valign="middle" >1.618</td></tr><tr><td align="center" valign="middle" >59˚C</td><td align="center" valign="middle" >1.625</td><td align="center" valign="middle" >1.611</td><td align="center" valign="middle" >1.593</td></tr></tbody></table></table-wrap><p>energy may also have been as a result of decrease in cohesive energy of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1030115x88.png" xlink:type="simple"/></inline-formula> system due to bismuth addition [<xref ref-type="bibr" rid="scirp.54998-ref25">25</xref>] .</p></sec></sec><sec id="s4"><title>4. Conclusion</title><p>Transmission of light in the as-deposited thin films decreased with increase in substrate temperature and bismuth content while the reflectance increased. The absorption coefficient increased with increase in substrate temperature and bismuth content. In addition, the as-deposited films seem to be more sensitive to light as bismuth concentration increases as observed from the shift in transmittance profiles towards the visible region. Hence, we can conclude that the deposited films’ sensitivity to light increases with increase in substrate temperature and bismuth content. The extinction coefficient of the as-deposited films increased with increase in substrate temperature and bismuth content due to increased absorption coefficient of the as-deposited thin films. Refractive index of the as-deposited thin films obtained using the Swanepoel method, decreased with increase in wavelength but increased with increase in bismuth concentration and substrate temperature. The optical band gap energy decreased slightly with increase in bismuth content and substrate temperature. This has been explained in terms of decreased cohesive energy in the as-deposited amorphous thin films. The real and imaginary parts of dielectric constant increased with increase in bismuth concentration and substrate temperature.</p></sec><sec id="s5"><title>Acknowledgements</title><p>The authors wish to thank the Kenya National Council for Science and Technology (Now National Commission for Science, Technology and Innovation (NACOSTI)) for the financial support (Grant No. 010545).</p><p>University of Nairobi provided the research equipment and the technical support.</p></sec><sec id="s6"><title>NOTES</title></sec></body><back><ref-list><title>References</title><ref id="scirp.54998-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Mohd, N. and Zulfequar, M. (2012) DC Conductivity and Dielectric Behavior of Glassy Se100-xZnx Alloy. 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