The Clausius-Mossotti problem for cubic arrays of spheres
- 1 February 1978
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 49 (2), 795-797
- https://doi.org/10.1063/1.324659
Abstract
The numerical solution of the Clausius‐Mossotti problem for the permittivity of a suspension of perfectly conducting spheres in a cubic array is presented for sc, fcc, and bcc lattices. The results apply to electrical permittivity, magnetic permeability, electrical and thermal conductivity, and particle diffusivity. The calculations are compared with the Clausius‐Mossotti relation. Rayleigh’s equation is corrected and compared with the numerical results. A simple interpolation formula for the permittivity of a medium of perfectly conducting spheres in a simple cubic lattice is found to give an excellent approximation at all volume ratios.Keywords
This publication has 4 references indexed in Scilit:
- Conductivity of a Medium Containing a Dense Array of Perfectly Conducting Spheres or Cylinders or Nonconducting CylindersJournal of Applied Physics, 1963
- Resistance to Potential Flow through a Cubical Array of SpheresJournal of Applied Physics, 1960
- Formulae for Dielectric Constant of MixturesProceedings of the Physical Society. Section B, 1957
- LVI. On the influence of obstacles arranged in rectangular order upon the properties of a mediumJournal of Computers in Education, 1892