Analytical Results for Crystalline Electric Field Eigenvalues of Trivalent Rare-Earth Ions Using Computer Algebra: Application to the Magnetism of <math>PrX2</math> <math>(X = Mg, Al, Ru, Rh, Pt) </math>

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Analytical Results for Crystalline Electric Field Eigenvalues of Trivalent Rare-Earth Ions Using Computer Algebra: Application to the Magnetism of $<math>PrX_2</math>$ $<math>(X = Mg, Al, Ru, Rh, Pt) </math>$

R. R. Sobral; A. P. Guimarães; X. A. Silva

1994

Authors: R. R. Sobral; A. P. Guimarães; X. A. Silva
Type: Physics Note
Status: Published
Publication date: 1994
Description: The eigenvalues of the Crystalline Electric Field (CEF) Hamiltonian with cubic symmetry are analytically obtained for trivalent rare-earth ions of ground state <math>J = 5/2, 7/2, 4, 9/2, 6, 15/2\,\!</math> and <math>8\,\!</math>, via a Computer Algebra approach. In the presence of both CEF and an effective exchange field, Computer Algebra still allows a partial factorization of the characteristic polynomial equation associated to the total Hamiltonian, a result of interest to the study of the magnetic behavior of rare-earth intermetallics. An application to the <math>PrX_2\,\!</math> intermetallic compounds <math>(X = Mg, Al, Ru, Rh, Pt)\,\!</math> is reported.
Year: 1994
Number: CBPF-NF-015/94
Linked to a thesis: No
Linked to a grant: No