Theoretical Study of the Paramagnetic Scattering of Neutrons (thesis); ETUDE THEORIQUE DE LA DIFFUSION PARAMAGNETIQUE DES NEUTRONS (THESES)
Technical Report
·
OSTI ID:4788663
General paramagnetic scattering of neutrons is investigated in the situation where the orbital moment of the magnetic scattering ions is not quenched. The general relevant expression of the cross-section is given. The preceding results are applied to rare earths and Fe-group ions. It is shown that if crystalline actions lift the free ion ground state degeneracy, the neutron may induce transitions between the various levels, the distances of which are typically of the order of several hundred cm/sup -1/. The various scattering cross-sections (elastic and inelastic) are calculated for the rare earths in a cubic crystalline field, for the Ho and Er sesquioxides and for the anhydrous iron chloride (Cl/sub 2/Fe). These cross-sections are high enough to allow for an experimental detection, thus providing a direct determination of the levels distances through the measurement of the neutron wave-length shift. It is also shown that, for Nd, Ho, and Er, the total crosssection for neutrons of one angstrom wave length is rather insensitive to the crystalline field effects. The results are compared with the available experimental studies. The effects of the orbital moment on the angular dependence of the scattering for polarized ions is investigated. The wellknown formula: I = I/sub 0/sin/sup 2/ BETA is only an approximation, the validity of which is discussed. (auth)
- Research Organization:
- France. Commissariat a l'Energie Atomique. Centre d'Etudes Nucleaires, Saclay
- NSA Number:
- NSA-16-033782
- OSTI ID:
- 4788663
- Report Number(s):
- CEA-1996
- Country of Publication:
- France
- Language:
- English
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