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Periodic Close Packings of Identical Spheres

Abstract

COUTANCEAU CLARKE1 has reported twelve new close packings of identical spheres, bringing the total of such packings known from six to eighteen. Here I describe further close packings (completing several subsets of the whole) and relate some of the ‘new’ packings to known crystal structures.

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References

  1. Coutanceau Clarke, J. A. R., Nature, 240, 408 (1972).

    Article  ADS  Google Scholar 

  2. Kepler, J., Harmonice Mundi, Opera Omnia, 5, 117, Frankfurt (1864).

    Google Scholar 

  3. Fejes Toth, Regular Figures, 41 (Pergamon, Oxford, 1964).

    MATH  Google Scholar 

  4. Wells, A. F., The Third Dimension in Chemistry, 26 (Oxford University Press, 1956).

    Google Scholar 

  5. Wells, A. F., loc. cit., 57.

  6. Ball, W. W. R., Mathematical Recreations and Essays, eleventh ed., 147 (Macmillan, London, 1939).

    Google Scholar 

  7. Zachariasen, W. H., Acta crystallogr., 5, 19 (1952).

    Article  Google Scholar 

  8. Zachariasen, W. H., Acta crystallogr., 12, 698 (1959).

    Article  Google Scholar 

  9. Wyckoff, R. W. G., Z. Krist., 62, 189 (1925).

    Google Scholar 

  10. Wyckoff, R. W. G., Am. J. Sci., 9, 448 (1925).

    Article  ADS  Google Scholar 

  11. Meisel, K., Z. anorg. Chem., 207, 121 (1932).

    Article  Google Scholar 

  12. Barth, T., Norsk, geol. Tidsk., 8, 201 (1925).

    Google Scholar 

  13. von Stackelberg, M., and Neumann, F., Z. phys. Chem., 19B, 314 (1932).

    Google Scholar 

Download references

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SMITH, A. Periodic Close Packings of Identical Spheres. Nature Physical Science 246, 10–11 (1973). https://doi.org/10.1038/physci246010a0

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