Hard hyperspheres: Difference between revisions
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{{Stub-general}} | {{Stub-general}} | ||
==Volume== | |||
The volume of a <math>d</math> sphere of unit diameter is given by | |||
:<math>v_d=\frac{(\pi / 4)^{d/2}}{\Gamma(1+ d/2)}</math> | |||
where <math>\Gamma(m)</math> is the [[Gamma function]]. | |||
==See also== | |||
*[[Hard sphere: virial coefficients]] | |||
==References== | ==References== | ||
#[http://dx.doi.org/10.1063/1.2743031 Paula A. Whitlock, Marvin Bishop and John L. Tiglias "Structure factor for hard hyperspheres in higher dimensions", Journal of Chemical Physics '''126''' 224505 (2007)] | #[http://dx.doi.org/10.1063/1.2743031 Paula A. Whitlock, Marvin Bishop and John L. Tiglias "Structure factor for hard hyperspheres in higher dimensions", Journal of Chemical Physics '''126''' 224505 (2007)] | ||
#[http://dx.doi.org/10.1063/1.2951456 René D. Rohrmann, Miguel Robles, Mariano López de Haro, and Andrés Santos "Virial series for fluids of hard hyperspheres in odd dimensions", Journal of Chemical Physics '''129''' 014510 (2008)] | |||
[[category: models]] | [[category: models]] | ||
Revision as of 10:33, 7 July 2008
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Volume
The volume of a sphere of unit diameter is given by
where is the Gamma function.
See also
References
- Paula A. Whitlock, Marvin Bishop and John L. Tiglias "Structure factor for hard hyperspheres in higher dimensions", Journal of Chemical Physics 126 224505 (2007)
- René D. Rohrmann, Miguel Robles, Mariano López de Haro, and Andrés Santos "Virial series for fluids of hard hyperspheres in odd dimensions", Journal of Chemical Physics 129 014510 (2008)