# Hard hyperspheres

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

## Volume[edit]

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

where is the Gamma function.

## Structure factor[edit]

Structure factor ^{[1]}

## Liquid-solid transition[edit]

The liquid-solid transition for and ^{[2]}.

## Virial coefficients[edit]

Hard sphere: virial coefficients for odd dimensions ^{[3]}

## Percus–Yevick equation[edit]

The Percus Yevick equation ^{[4]}

## References[edit]

- ↑ Paula A. Whitlock, Marvin Bishop and John L. Tiglias "Structure factor for hard hyperspheres in higher dimensions", Journal of Chemical Physics
**126**224505 (2007) - ↑ C. D. Estrada and M. Robles "Fluid–solid transition in hard hypersphere systems", Journal of Chemical Physics
**134**044115 (2011) - ↑ 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) - ↑ M. Adda-Bedia, E. Katzav, and D. Vella "Solution of the Percus–Yevick equation for hard hyperspheres in even dimensions", Journal of Chemical Physics
**129**144506 (2008)

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