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# Difference between revisions of "Hard hyperspheres"

Hard hyperspheres are hard spheres in more than three dimensions ($D$).

## Volume

The volume of an n-sphere of unit diameter is given by

$v_n=\frac{(\pi / 4)^{n/2}}{\Gamma(1+ n/2)}$

where $\Gamma(m)$ is the Gamma function.

## Liquid-solid transition

The liquid-solid transition for $D=4, 5$ and $6$ [2].

## Virial coefficients

Hard sphere: virial coefficients for odd dimensions [3]

## Percus–Yevick equation

The Percus Yevick equation [4]