Editing Hansen-Goos hard sphere equation of state
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The '''Hansen-Goos''' [[Equations of state for hard spheres | hard sphere equation of state]] is given by | The '''Hansen-Goos''' [[Equations of state for hard spheres | hard sphere equation of state]] is given by | ||
<ref>[http://dx.doi.org/10.1063/1.4947534 Hendrik Hansen-Goos "Accurate prediction of hard-sphere virial coefficients B6 to B12 from a compressibility-based equation of state", Journal of Chemical Physics '''144''' 164506 (2016)]</ref> (Eq. 5): | <ref>[http://dx.doi.org/10.1063/1.4947534 Hendrik Hansen-Goos "Accurate prediction of hard-sphere virial coefficients B6 to B12 from a compressibility-based equation of state", Journal of Chemical Physics '''144''' 164506 (2016);]</ref> (Eq. 5): | ||
:<math> \rho k_B T \kappa_T = \frac{(1-\eta)^4}{(1+2\eta -\gamma \eta^3 + \delta \eta^4)^2}</math> | :<math> \rho k_B T \kappa_T = \frac{(1-\eta)^4}{(1+2\eta -\gamma \eta^3 + \delta \eta^4)^2}</math> | ||
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:<math> \delta = - \frac{3}{7} + \frac{5\gamma}{8} +\frac{4}{7} \sqrt{1- \frac{21 \gamma}{32} + \frac{105\gamma^2}{1024}} \approx 0.694605</math> | :<math> \delta = - \frac{3}{7} + \frac{5\gamma}{8} +\frac{4}{7} \sqrt{1- \frac{21 \gamma}{32} + \frac{105\gamma^2}{1024}} \approx 0.694605</math> | ||
and where <math>\kappa_T</math> is the [[Compressibility#Isothermal compressibility| isothermal compressibility]] | and where <math>\kappa_T</math> is the [[Compressibility#Isothermal compressibility| isothermal compressibility]]. | ||
==References== | ==References== | ||
<references/> | <references/> | ||
[[Category: Equations of state]] | [[Category: Equations of state]] | ||
[[category: Hard sphere]] | [[category: Hard sphere]] | ||