Equations of state for crystals of hard spheres

The stable phase of hard spheres at high density is thought to have a face-centered cubic structure. A number of equations of state have been proposed for this system. The usual procedure to get precise equations of state is to fit computer simulation results.

• Alder et al (Ref 1)

• Hall equation of state (Ref 2)

• Speedy equation of state (Ref 3)

References

1. B. J. Alder, W. G. Hoover, and D. A. Young, Studies in Molecular Dynamics. V. High-Density Equation of State and Entropy for Hard Disks and Spheres, J. Chem. Phys. 49, 3688 (1968)
2. Kenneth R. Hall, Another Hard-Sphere Equation of State, J. Chem. Phys. 57, 2252 (1972)
3. Robin J. Speedy "Pressure and entropy of hard-sphere crystals", Journal of Physics: Condensed Matter 10 pp. 4387-4391 (1998)