Graphical Conversion between Compliance and Modulus, Permittivity and Electric Modulus, and Impedance and Admittance

<div>Cole-Cole diagram for the compliance spectrum composed of superposition of two Havriliak-Negami (HN) processes. The compliance spectrum and corresponding modulus spectrum are shown in the inset. Full bold line stands for the trajectory of the total compliance and full thin lines indicate each component (HN1 and HN2). Dash dotted circles indicate iso-<svg height="11.9661pt" id="M244" style="vertical-align:-0.04979992pt" version="1.1" viewbox="-0.0498162 -11.9163 20.6086 11.9661" width="20.6086pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z" id="g113-78"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="985" vert-adv-y="985"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,13.347,-5.984)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z" id="g50-31"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="361" vert-adv-y="361"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,16.514,-5.984)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z" id="g50-31"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="361" vert-adv-y="361"></glyph.data></g></svg> contours.</div>

International Journal of Spectroscopy

fig6

Figure 6

Figure 6: Graphical Conversion between Compliance and Modulus, Permittivity and Electric Modulus, and Impedance and Admittance 