Electronic Polarizabilities of Ions in Crystals

Jack R. Tessman, A. H. Kahn, and William Shockley
Phys. Rev. 92, 890 – Published 15 November 1953
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Abstract

A set of electronic polarizabilities has been obtained from a least-squares fit of experimental refraction data using simple additivity and a Lorentz factor of 4π3. Except for the fluorides, the electronic polarizability values of the alkali-halide crystals calculated from this set agree with the experimental data within 3 percent. Similar least-squares fits were attempted with various values of the Lorentz factor, the best fit being obtained for 4π3. On the basis of 4π3, the additivity assumption and the alkali-halide set, polarizabilities have been obtained for other ions. The best values for the sodium D line in A3 are Li+ 0.03, Na+ 0.41, K+ 1.33, Rb+ 1.98, Cs+ 3.34, F 0.64, Cl 2.96, Br 4.16, I 6.43, Ca++ 1.1, Sr++ 1.6, Ba++ 2.5, O 0.5-3.2, S 4.8-5.9, Se 6.0-7.5, Te 8.3-10.2, Ag+ 2.4, Cu+ 1.6, Cu++ 0.2, Zn++ 0.8, Cd++ 1.8, Ge4+ 1, Sn4+ 3.4, Pb++ 4.9. Values represented by a spread indicate ions that cannot be treated additively.

  • Received 10 August 1953

DOI:https://doi.org/10.1103/PhysRev.92.890

©1953 American Physical Society

Authors & Affiliations

Jack R. Tessman* and A. H. Kahn

  • Department of Physics, University of California, Berkeley, California

William Shockley

  • Bell Telephone Laboratories, Murray Hill, New Jersey

  • *Now at Department of Physics, Pennsylvania State College, State College, Pennsylvania.

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Issue

Vol. 92, Iss. 4 — November 1953

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