Relativistic magnetic form factors of tripositive rare-earth ions

C. Stassis, H. W. Deckman, B. N. Harmon, J. P. Desclaux, Arthur J Freeman

Research output: Contribution to journalArticle

122 Citations (Scopus)

Abstract

Magnetic form factors have been obtained from Dirac-Fock calculations for all the rare-earth tripositive ions. In addition to using relativistic 4f wave functions, the coupling of the neutron magnetic moment to the current density has been treated consistently using a relativistic formulation for the scattering amplitude. For each rare-earth ion we evaluated the odd magnetic multipoles, of order less or equal to seven, which are needed for the evaluation of the magnetic scattering amplitude in most cases of experimental interest. We find that in all cases the magnetic form factor decreases faster with increasing scattering angle than predicted by nonrelativistic calculations. This is because (i) the relativistic 4f-electron wave functions are more expanded in space as a result of the relativistic core contraction than the Hartree-Fock wave functions and (ii) the net effect of the spin orbit and mass correction term on the scattering of neutrons, implicitly included in our relativistic formulation of the scattering amplitude, is such that the neutron senses a current density more expanded in space than predicted by nonrelativistic calculations.

Original languageEnglish
Pages (from-to)369-376
Number of pages8
JournalPhysical Review B
Volume15
Issue number1
DOIs
Publication statusPublished - 1977

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scattering amplitude
Rare earths
form factors
rare earth elements
wave functions
Scattering
Ions
neutrons
Wave functions
Neutrons
current density
formulations
ions
scattering
Current density
multipoles
contraction
magnetic moments
orbits
Magnetic moments

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Relativistic magnetic form factors of tripositive rare-earth ions. / Stassis, C.; Deckman, H. W.; Harmon, B. N.; Desclaux, J. P.; Freeman, Arthur J.

In: Physical Review B, Vol. 15, No. 1, 1977, p. 369-376.

Research output: Contribution to journalArticle

Stassis, C, Deckman, HW, Harmon, BN, Desclaux, JP & Freeman, AJ 1977, 'Relativistic magnetic form factors of tripositive rare-earth ions', Physical Review B, vol. 15, no. 1, pp. 369-376. https://doi.org/10.1103/PhysRevB.15.369
Stassis, C. ; Deckman, H. W. ; Harmon, B. N. ; Desclaux, J. P. ; Freeman, Arthur J. / Relativistic magnetic form factors of tripositive rare-earth ions. In: Physical Review B. 1977 ; Vol. 15, No. 1. pp. 369-376.
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