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The Electric Permittivity of a Dilute Suspension of Membrane-Covered Ellipsoids

J. Appl. Phys. 24, 644 (1953); doi:10.1063/1.1721343

Issue Date: May 1953

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Hugo Fricke
Walter B. James Laboratory of Biophysics, Biological Laboratory, Cold Spring Harbor, New York
This theoretical paper deals with the low frequency permittivity (epsilon) of a dilute suspension (conductivity sigma, volume concentration rho), in a conducting medium (conductivity sigmas, permittivity epsilons), of ellipsoidal particles (major axis 2a) each composed of a conducting core covered with a nonconducting surface membrane (thickness t, permittivity epsilonm). The quantity [epsilon−(sigma/sigmas)epsilons]/(rhoaepsilonm/t) is expressed in terms of Weierstrass' elliptic functions of the axial ratios, for parallel and random arrangement of the ellipsoidal axis. A table of its numerical values is given. Journal of Applied Physics is copyrighted by The American Institute of Physics.
History: Received January 5, 1953
Permalink: http://link.aip.org/link/?JAPIAU/24/644/1
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PUBLICATION DATA

ISSN:
0021-8979 (print)   1089-7550 (online)
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REFERENCES (8)

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  1. H. Fricke, J. Gen. Physiol. 9, 137 (1925).
  2. H. Fricke and S. Morse, J. Gen. Physiol. 9, 153 (1925).
  3. E. Blechschmidt, Physik. Z. 39, 212 (1938).
  4. C. G. Koops, Phys. Rev. 83, 121 (1951).
  5. H. Fricke, Phys. Rev. 26, 678 (1925).
  6. H. Fricke, Phys. Rev. 24, 575 (1924).
  7. A. H. H. Tallqvist, Finska Vetenskaps—soc. Acta Soc. Sci. Fennicae. Helsingfors. 17, 491 (1891).
  8. E. Jahnke und F. Emde, Funktionenlafeln mit Formlen und Kurven (B. G. Teubner, Leipzig, 1909).

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