Carl McBride: Slight tidy

2016-05-03T14:36:57Z

Slight tidy

← Older revision		Revision as of 16:36, 3 May 2016
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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]], <math>\rho</math> is the number density and <math>\eta</math>
			is the packing fraction.
	==References==		==References==
	<references/>		<references/>
	[[Category: Equations of state]]		[[Category: Equations of state]]
	[[category: Hard sphere]]		[[category: Hard sphere]]

Carl McBride: Created page with "The '''Hansen-Goos''' hard sphere equation of state is given by [http://dx.doi.org/10.1063/1.4947534 Hendrik Hansen-Goos "Accur..."

2016-05-03T12:22:55Z

Created page with "The '''Hansen-Goos''' hard sphere equation of state is given by <ref>[http://dx.doi.org/10.1063/1.4947534 Hendrik Hansen-Goos "Accur..."

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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):

:<math> \rho k_B T \kappa_T = \frac{(1-\eta)^4}{(1+2\eta -\gamma \eta^3 + \delta \eta^4)^2}</math>

where (Eq. 7)

:<math> \gamma = 2(19- \frac{B_4}{V^3}) \approx 1.270463 </math>

and (Eq. 8)

:<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]].

==References==
<references/>
[[Category: Equations of state]]
[[category: Hard sphere]]

Hansen-Goos hard sphere equation of state - Revision history

Carl McBride: Slight tidy

Carl McBride: Created page with "The '''Hansen-Goos''' hard sphere equation of state is given by [http://dx.doi.org/10.1063/1.4947534 Hendrik Hansen-Goos "Accur..."