Proton Transfer Equilibria and Critical Behavior of H-Bonding

<table>The center of gravity <svg height="13.3875" id="M81" style="vertical-align:-5.04861pt" version="1.1" viewbox="0 0 18.137501 13.3875" width="18.137501" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-61.29)">
<text transform="matrix(1,0,0,-1,-71.95,66.37)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜈</tspan>
</text>
<text transform="matrix(1,0,0,-1,-66.3,63.25)">
<tspan style="font-size: 8.75px; " x="0" y="0">c</tspan>
<tspan style="font-size: 8.75px; " x="3.8858881" y="0">g</tspan>
</text>
</g>
</g>
</svg> for protonic vibrations as a function of <svg height="14.5625" id="M82" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 43.125 14.5625" width="43.125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.5625)">
<g transform="translate(72,-60.35)">
<text transform="matrix(1,0,0,-1,-71.95,63.52)">
<tspan style="font-size: 12.50px; " x="0" y="0">Δ</tspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">𝑝</tspan>
<tspan style="font-size: 12.50px; " x="15.141133" y="0">𝐾</tspan>
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<text transform="matrix(1,0,0,-1,-46.28,60.4)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑁</tspan>
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</svg> for various complexes of carboxylic acids [<a href="/journals/jamp/2012/217932/#B26">27</a>].</table>

Journal of Atomic and Molecular Physics

Proton Transfer Equilibria and Critical Behavior of H-Bonding

Figure 9