Long- and Intermediate-Range Correlations in Polymer-Containing Ionic Liquids

<table>Variation of the position, <svg height="14.3875" id="M96" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 14.25 14.3875" width="14.25" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3875)">
<g transform="translate(72,-60.49)">
<text transform="matrix(1,0,0,-1,-71.95,62.83)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑞</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.72,67.83)">
<tspan style="font-size: 8.75px; " x="0" y="0">∗</tspan>
</text>
</g>
</g>
</svg>, of the prepeak (solid symbols) and the peak associated with the intermediate-range ordering (open symbols) in the structure factors <svg height="14.725" id="M97" style="vertical-align:-3.24037pt" version="1.1" viewbox="0 0 36.6875 14.725" width="36.6875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.725)">
<g transform="translate(72,-60.22)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑆</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.82,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐶</tspan>
</text>
<text transform="matrix(1,0,0,-1,-56.75,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝑞</tspan>
<tspan style="font-size: 12.50px; " x="9.8898726" y="0">)</tspan>
</text>
</g>
</g>
</svg> with polymer density <svg height="11.0375" id="M98" style="vertical-align:-3.22281pt" version="1.1" viewbox="0 0 23.025 11.0375" width="23.025" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0375)">
<g transform="translate(72,-63.17)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜌</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.67,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">P</tspan>
<tspan style="font-size: 8.75px; " x="4.7348318" y="0">o</tspan>
<tspan style="font-size: 8.75px; " x="9.1108322" y="0">l</tspan>
</text>
</g>
</g>
</svg> for the PC system at <svg height="12.8875" id="M99" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 22.9 12.8875" width="22.9" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.8875)">
<g transform="translate(72,-61.69)">
<text transform="matrix(1,0,0,-1,-71.95,61.88)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜀</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.9,66.88)">
<tspan style="font-size: 8.75px; " x="0" y="0">a</tspan>
<tspan style="font-size: 8.75px; " x="3.8858881" y="0">t</tspan>
<tspan style="font-size: 8.75px; " x="6.318944" y="0">t</tspan>
<tspan style="font-size: 8.75px; " x="8.7519999" y="0">r</tspan>
</text>
</g>
</g>
</svg> = 0.15 (circles) and PA system at <svg height="12.8875" id="M100" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 22.9 12.8875" width="22.9" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.8875)">
<g transform="translate(72,-61.69)">
<text transform="matrix(1,0,0,-1,-71.95,61.88)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜀</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.9,66.88)">
<tspan style="font-size: 8.75px; " x="0" y="0">a</tspan>
<tspan style="font-size: 8.75px; " x="3.8858881" y="0">t</tspan>
<tspan style="font-size: 8.75px; " x="6.318944" y="0">t</tspan>
<tspan style="font-size: 8.75px; " x="8.7519999" y="0">r</tspan>
</text>
</g>
</g>
</svg> = 0.6 (squares). The graphs are plotted in the double-logarithmic scale.</table>

International Scholarly Research Notices

fig7

Figure 7

Figure 7: Long- and Intermediate-Range Correlations in Polymer-Containing Ionic Liquids 