Magnetism of Rare Earth Intermetallics Using Computer Algebra: Application to <math>PrAl2</math> and <math>NdAl2</math>

Nota de FísicaPublicado

Magnetism of Rare Earth Intermetallics Using Computer Algebra: Application to $<math>PrAl_2</math>$ and $<math>NdAl_2</math>$

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

1993

Autores: R. R. Sobral; A. P. Guimarães; X. A. Silva
Tipo: Nota de Física
Status: Publicado
Data de publicação: 1993
Descrição: The magnetism of rare earth intermetallic compounds is investigated with a model hamiltonian containing crystal field and exchange terms. An algebraic analysis of the characteristic polynomial associated to the model is made and it is shown that, for <math>Pr^{+3}(J = 4)\,\!</math> and <math>Nd^{+3}(J = 9/2)\,\!</math>, in the case of cubic symmetry, the ninth and tenth degree polynomials are decomposed into simple factors. From these factors, analytical expressions for the crystal field eigenvalues, the magnetic moments and the critical temperatures are derived. The results are applied to <math>PrAl_2\,\!</math> and <math>NdAl_2\,\!</math>; exchange parameters and effective <math>g\,\!</math> factors are easily obtained from crystal field, <math>T_C\,\!</math>, and low temperature magnetic moments data.
Ano: 1993
Número: CBPF-NF-063/93
Vínculo com tese: Não
Vínculo com bolsa: Não