Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Distribution function for random distribution of spheres

Abstract

THE statistical problems associated with a distribution of spheres in space have received considerable attention1–3, particularly in the limiting cases of very small volume concentrations and very large ones (close to maximum packing). The intermediate range of finite concentration is not as well covered, and this range is considered here.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Similar content being viewed by others

References

  1. Kendall, M. G., and Moran, P. A. P., Geometrical Probability (London, 1963).

    MATH  Google Scholar 

  2. Moran, P. A. P., J. appl. Prob., 3, 453–463 (1966).

    Article  Google Scholar 

  3. Moran, P. A. P., Adv. appl. Prob., 1, 73–89 (1969).

    Article  ADS  Google Scholar 

  4. Visscher, W. M., and Bolsterli, M., Nature, 239, 504–507 (1972).

    Article  ADS  Google Scholar 

  5. Buevich, Yu.A., Inzh.-fiz. Zh., 14, 3 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

HERCZYNSKI, R. Distribution function for random distribution of spheres. Nature 255, 540–541 (1975). https://doi.org/10.1038/255540a0

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1038/255540a0

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.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing