Packing of Spheres

Abstract

IN connexion with Bernal's theory of liquids, Scott1 has determined the packing density of equal spheres by experiments with steel balls. In this laboratory we were interested in the dense random packing of beads of ion-exchange resins. Although particles of ion-exchange resins may vary in diameter from 1.3 mm. to 0.03 mm. or less, if the ratio of the diameters of the larger to the smaller beads in any batch exceeds 3 or 4, segregation may occur when the beads are backwashed or allowed to settle under water. If the ratio exceeded 6.5, it would be possible for the smallest spheres to fit into spaces between close-packed spheres of the largest diameter and so increase the packing density; but, if the problem is limited to the smaller ratios which occur in practice, only holes and not spaces can be filled by the smaller beads and the packing density should be 0.64–0.74.

Access options

Rent or Buy article

Get time limited or full article access on ReadCube.

from$8.99

All prices are NET prices.

References

  1. 1

    Scott, G. D., Nature, 188, 908 (1960).

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

PARRISH, J. Packing of Spheres. Nature 190, 800 (1961). https://doi.org/10.1038/190800a0

Download citation

Further reading

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.