Quantum Effects of Indium/Ytterbium Doping  on ZnO-Like Nano-Condensed Matter in terms of Urbach-Martienssen and Wemple-DiDomenico Single-Oscillator Models Parameters

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td align="center" colspan="3"> Sample</td><td align="center" rowspan="2">Microhard. (Hv)</td><td align="center" rowspan="2"><svg height="10.925" id="M27" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 26.975 10.925" width="26.975" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜓</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.69,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐴</tspan>
<tspan style="font-size: 8.75px; " x="6.2751842" y="0">𝐵</tspan>
</text>
</g>
</g>
</svg> (×10<sup>−12</sup> m<sup>3</sup> s<sup>−1</sup>)</td></tr><tr class="thead"><td align="left">Material</td><td align="center">Name</td><td align="center">Doping rate</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td align="left">ZnO</td><td align="center"><span style="width: 40.224998px;"><svg height="16" id="M28" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 40.224998 16" width="40.224998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16)">
<g transform="translate(72,-59.2)">
<text transform="matrix(1,0,0,-1,-71.95,63.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐴</tspan>
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<text transform="matrix(1,0,0,-1,-62.99,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">Z</tspan>
<tspan style="font-size: 8.75px; " x="5.3562241" y="0">n</tspan>
<tspan style="font-size: 8.75px; " x="9.7322245" y="0">O</tspan>
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<text transform="matrix(1,0,0,-1,-46.93,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">0</tspan>
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</svg></span></td><td align="center">—</td><td align="center">341</td><td align="center">18.2</td></tr><tr><td align="left" rowspan="3">In-doped ZnO</td><td align="center"><span style="width: 34.737499px;"><svg height="16" id="M29" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 34.737499 16" width="34.737499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16)">
<g transform="translate(72,-59.2)">
<text transform="matrix(1,0,0,-1,-71.95,63.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐴</tspan>
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<text transform="matrix(1,0,0,-1,-62.99,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">I</tspan>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">n</tspan>
<tspan style="font-size: 8.75px; " x="7.2904158" y="0">d</tspan>
</text>
<text transform="matrix(1,0,0,-1,-51.32,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">1</tspan>
</text>
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</g>
</svg></span></td><td align="center">1%</td><td align="center">575</td><td align="center">14.5</td></tr><tr><td align="center"><span style="width: 34.737499px;"><svg height="16" id="M30" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 34.737499 16" width="34.737499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16)">
<g transform="translate(72,-59.2)">
<text transform="matrix(1,0,0,-1,-71.95,63.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐴</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.99,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">I</tspan>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">n</tspan>
<tspan style="font-size: 8.75px; " x="7.2904158" y="0">d</tspan>
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<text transform="matrix(1,0,0,-1,-51.32,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">2</tspan>
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</svg></span></td><td align="center">2%</td><td align="center">649</td><td align="center">12.9</td></tr><tr><td align="center"><span style="width: 34.737499px;"><svg height="16" id="M31" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 34.737499 16" width="34.737499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16)">
<g transform="translate(72,-59.2)">
<text transform="matrix(1,0,0,-1,-71.95,63.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐴</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.99,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">I</tspan>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">n</tspan>
<tspan style="font-size: 8.75px; " x="7.2904158" y="0">d</tspan>
</text>
<text transform="matrix(1,0,0,-1,-51.32,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">3</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">3%</td><td align="center">739</td><td align="center">10.1</td></tr><tr><td align="left" rowspan="3">Yb-doped ZnO</td><td align="center"><span style="width: 33.200001px;"><svg height="15.775" id="M32" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 33.200001 15.775" width="33.200001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.775)">
<g transform="translate(72,-59.38)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐵</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.25,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">Y</tspan>
<tspan style="font-size: 8.75px; " x="6.318944" y="0">b</tspan>
</text>
<text transform="matrix(1,0,0,-1,-52.55,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">1</tspan>
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</g>
</g>
</svg></span></td><td align="center">100 ppm</td><td align="center">301</td><td align="center">9.21</td></tr><tr><td align="center"><span style="width: 33.200001px;"><svg height="15.775" id="M33" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 33.200001 15.775" width="33.200001" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-59.38)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐵</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.25,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">Y</tspan>
<tspan style="font-size: 8.75px; " x="6.318944" y="0">b</tspan>
</text>
<text transform="matrix(1,0,0,-1,-52.55,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">2</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">200 ppm</td><td align="center">399</td><td align="center">8.24</td></tr><tr><td align="center"><span style="width: 33.200001px;"><svg height="15.775" id="M34" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 33.200001 15.775" width="33.200001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.775)">
<g transform="translate(72,-59.38)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐵</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.25,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">Y</tspan>
<tspan style="font-size: 8.75px; " x="6.318944" y="0">b</tspan>
</text>
<text transform="matrix(1,0,0,-1,-52.55,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">3</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">300 ppm</td><td align="center">496</td><td align="center">11.2</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Microhardness (Hv) and Amlouk-Boubaker Optothermal expansivity <svg height="10.925" id="M26" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 26.975 10.925" width="26.975" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.925)">
<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜓</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.69,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐴</tspan>
<tspan style="font-size: 8.75px; " x="6.2751842" y="0">𝐵</tspan>
</text>
</g>
</g>
</svg>.

International Scholarly Research Notices

tab1

Table 1

Table 1: Quantum Effects of Indium/Ytterbium Doping  on ZnO-Like Nano-Condensed Matter in terms of Urbach-Martienssen and Wemple-DiDomenico Single-Oscillator Models Parameters 

Table 1 | Quantum Effects of Indium/Ytterbium Doping  on ZnO-Like Nano-Condensed Matter in terms of Urbach-Martienssen and Wemple-DiDomenico Single-Oscillator Models Parameters 