Length Bidisperse Carbon Nanotubes Dispersions in Thermotropic Liquid Crystals

<table>The difference of volume fraction of both CNTs types dispersed in nematic phase of LC for <svg height="14.7125" id="M126" style="vertical-align:-3.23158pt" version="1.1" viewbox="0 0 110.65 14.7125" width="110.65" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
<tspan style="font-size: 12.50px; " x="9.6523161" y="0">−</tspan>
<tspan style="font-size: 12.50px; " x="20.992537" y="0">𝑇</tspan>
</text>
<text transform="matrix(1,0,0,-1,-44.08,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">N</tspan>
<tspan style="font-size: 8.75px; " x="6.318944" y="0">I</tspan>
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<text transform="matrix(1,0,0,-1,-30.87,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">−</tspan>
<tspan style="font-size: 12.50px; " x="20.592442" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="26.843941" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="29.96969" y="0">8</tspan>
</text>
<text transform="matrix(1,0,0,-1,7.44,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">K</tspan>
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</svg> and <svg height="20.975" id="M127" style="vertical-align:-4.72992pt" version="1.1" viewbox="0 0 124.1875 20.975" width="124.1875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,20.975)">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝛾</tspan>
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<text transform="matrix(1,0,0,-1,-66.6,56.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
</text>
<text transform="matrix(1,0,0,-1,-58.25,59.98)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">0</tspan>
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<text transform="matrix(1,0,0,-1,-31.63,59.98)">
<tspan style="font-size: 12.50px; " x="0" y="0">N</tspan>
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<text transform="matrix(1,0,0,-1,-22.6,59.98)">
<tspan style="font-size: 12.50px; " x="0" y="0">/</tspan>
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<text transform="matrix(1,0,0,-1,-19.12,59.98)">
<tspan style="font-size: 12.50px; " x="0" y="0">m</tspan>
</text>
<text transform="matrix(1,0,0,-1,-9.4,64.98)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
<text transform="matrix(1,0,0,-1,-1.05,59.98)">
<tspan style="font-size: 12.50px; " x="0" y="0">&lt;</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">𝛾</tspan>
</text>
<text transform="matrix(1,0,0,-1,17.34,66.03)">
<tspan style="font-size: 8.75px; " x="-1" y="10.76">1</tspan>
<tspan style="font-size: 8.75px; " x="0" y="0">(</tspan>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">𝑐</tspan>
<tspan style="font-size: 8.75px; " x="6.5464959" y="0">)</tspan>
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</g>
</svg>. For the meaning of regions I, II, and III see the main text.</table>

Physics Research International

fig3

Figure 3

Figure 3: Length Bidisperse Carbon Nanotubes Dispersions in Thermotropic Liquid Crystals 