Statistical geometrical approach to random packing density of equal spheres

A statistical geometrical argument is presented which could, as the basis of a more refined calculation, help to give a statistical geometrical answer to the question of what random packing is.

[1]  Packing of Mixtures of Hard Spheres , 1960, Nature.

[2]  S. Cornell,et al.  Dense Random Packing of Binary Mixtures of Spheres , 1965, Nature.

[3]  Georges Voronoi.  Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Deuxième mémoire. Recherches sur les parallélloèdres primitifs. , 1908 .

[4]  R. Rutgers,et al.  Packing of Spheres , 1962, Nature.

[5]  J. D. Bernal,et al.  A Geometrical Approach to the Structure Of Liquids , 1959, Nature.

[6]  J. D. Bernal,et al.  The Bakerian Lecture, 1962 The structure of liquids , 1964, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[7]  G. Mason.  Radial Distribution Functions from Small Packings of Spheres , 1968, Nature.

[8]  D. J. Adams,et al.  Computation of Dense Random Packings of Hard Spheres , 1972 .

[9]  J. L. Finney,et al.  Random packings and the structure of simple liquids. I. The geometry of random close packing , 1970, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[10]  J. Finney,et al.  An optical machine for measuring sphere coordinates in random packings , 1970 .

[11]  G. Beveridge,et al.  Local voidage variation in a randomly packed bed of equal-sized spheres , 1966 .

[12]  Alan L. Mackay,et al.  Stereological characteristics of atomic arrangements in crystals , 1972 .

[13]  G. D. Scott,et al.  Packing of Spheres: Packing of Equal Spheres , 1960, Nature.

[14]  Charles H. Bennett,et al.  Serially Deposited Amorphous Aggregates of Hard Spheres , 1972 .

[15]  G. D. Scott,et al.  On the Random Packing of Spheres , 1964 .

[16]  K. Gotoh.  Liquid Structure and the Coordination of Equal Spheres in Random Assemblage , 1971 .

[17]  G. D. Scott,et al.  Radial Distribution of the Random Close Packing of Equal Spheres , 1962, Nature.

[18]  E. M. Tory,et al.  Simulated random packing of equal spheres , 1973 .

[19]  W. Visscher,et al.  Random Packing of Equal and Unequal Spheres in Two and Three Dimensions , 1972, Nature.