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Interaction between the d-Shells in the Transition Metals. III. Calculation of the Weiss Factors in Fe, Co, and Ni

Clarence Zener

  • Institute for the Study of Metals, University of Chicago, Chicago, Illinois

Phys. Rev. 83, 299 – Published 15 July, 1951

DOI: https://doi.org/10.1103/PhysRev.83.299

Abstract

Estimates are made of the Weiss factors for Fe, Co, and Ni using the author's previously proposed theory of indirect coupling via the conduction electrons. In this estimate use is made of only (i) the spectroscopic data for the coupling between the spin of the outer 4s electron and the spin of the inner incomplete 3d shell for the isolated atoms, (ii) the Hartree solution for the isolated Fe atom, (iii) the assumption that the conduction electrons behave as a free electron gas, (iv) the assumption that the direct coupling between adjacent d shells is negligible. The computed Weiss factors increase in the series Fe, Co, Ni in the same manner as do the empirical factors, but are somewhat larger. This discrepancy is in the right direction demanded by the previously proposed postulate that the direct interaction between adjacent d-shells always tends to an antiferromagnetic alignment.

References (5)

  1. C. Zener, Phys. Rev. 81, 440 (1951)
  2. R. F. Bacher and S. Goudsmit, Atomic Energy States (McGraw-Hill Book Company, Inc., New York, 1932)
  3. M. Manning and L. Goldberg, Phys. Rev. 53, 662 (1938)
  4. F. Seitz, Modern Theory of Solids (McGraw-Hill Book Company, Inc., 1940), p. 341
  5. P. Gombas, Die Statistische Theorie des Atoms (Verlag. Julius Springer, Wien, 1949), pp. 7 and 25

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