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>

Nota de FísicaPublicado

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

Autores: R. R. Sobral; A. P. Guimarães; X. A. Silva
Tipo: Nota de Física
Status: Publicado
Data de publicação: 1994
Descrição: 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.
Ano: 1994
Número: CBPF-NF-015/94
Vínculo com tese: Não
Vínculo com bolsa: Não