Abstract
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.
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References
Nature, 239, 488 (1972).
Scott, G. D., Nature, 194, 956 (1962).
Scott, G. D., Charlesworth, A. M., and Mak, M. K., J. chem. Phys., 40, 611 (1964).
Bernal, J. D., Nature, 183, 141 (1959).
Bernal, J. D., Proc. R. Soc., A280, 299 (1964).
Bernal, J. D., and Finney, J. L., Disc. Faraday Soc., No. 43, 62 (1967).
Scott, G. D., Nature, 188, 908 (1960).
Mangelsdorf, P. C., and Washington, E. L., Nature, 187, 930 (1960).
Rutgers, R., Nature 193, 465 (1962).
Yerazunis, S., Cornell, S. W., and Wintner, B., Nature, 207, 835 (1965).
Haughey, D. P., and Beveridge, G. S. G., Chem. Engng Sci., 21, 905 (1966).
Scott, G. D., and Kilgour, D. M., Brit. J. appl. Phys., ser. 2, 2, 863 (1969).
Visscher, W. M., and Bolsterli, M., Nature, 239, 504 (1972).
Adams, D. J., and Matheson, A. J., J. chem. Phys., 56, 1989 (1972).
Norman, L. D., Maust, E. E., and Skolnick, L. P., U. S. Bureau of Mines Bulletin, 658 (1971).
Finney, J. L., Proc. R. Soc., A 319, 479 (1970).
Gotoh, K., Nature phys. Sci., 231, 108 (1971).
Fejes Toth, L., Regular Figures, 306 (Pergamon, 1964).
Bennett, C. H., J. appl. Phys., 43, 2728 (1972).
Bernal, J. D., Cherry, I. A., Finney, J. L., and Knight, K. R., J. Phys. E, 3, 388 (1970).
Mason, G., Nature, 217, 733 (1968).
Tory, E. M., Church, B. H., Tam, M. K., and Ratner, M., Can. J. chem. Engng, 51, 484 (1973).
Mackay, A. L., J. Microsc., 95, part 2, 217 (1972).
Voronoi, G. F., J. reine angew. Math., 134, 198 (1908).
Dirichlet, G. L., J. reine angew. Math., 40, 216 (1850).
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Gotoh, K., Finney, J. Statistical geometrical approach to random packing density of equal spheres. Nature 252, 202–205 (1974). https://doi.org/10.1038/252202a0
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DOI: https://doi.org/10.1038/252202a0
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