Computation of Dense Random Packings of Hard Spheres
- 1 March 1972
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 56 (5), 1989-1994
- https://doi.org/10.1063/1.1677488
Abstract
A computer based method of generating a random close packing of hard spheres is described. The largest assembly that has been produced contains 5402 spheres. The packing density is approximately 62.8% for large assemblies, though the density falls slightly as the size of the assembly increases. The pair distribution has been determined for a spherical assembly of 3900 spheres. The computed assembly is compared with the ball‐bearing assembly of Scott which is about 0.8% more dense. The computer method gives the sphere positions with great precision so that the first peak of the pair distribution is much sharper for the computed assembly than for the ball‐bearing assembly. The split in the second peak of the pair distribution of the ball‐bearing assembly is absent from the computed assemblies.Keywords
This publication has 17 references indexed in Scilit:
- Anisotropy in Simulated Random Packing of Equal SpheresNature, 1968
- Radial Distribution Functions from Small Packings of SpheresNature, 1968
- Random close-packed hard-sphere model. II. Geometry of random packing of hard spheresDiscussions of the Faraday Society, 1967
- General discussionDiscussions of the Faraday Society, 1967
- Numerical Solutions of the Percus—Yevick Equation for the Hard-Sphere PotentialThe Journal of Chemical Physics, 1965
- Angular Distribution of Random Close-packed Equal SpheresNature, 1964
- Radial Distribution of the Random Close Packing of Equal SpheresNature, 1962
- Packing of Spheres: Co-ordination of Randomly Packed SpheresNature, 1960
- Geometry of the Structure of Monatomic LiquidsNature, 1960
- A Geometrical Approach to the Structure Of LiquidsNature, 1959