Theory of the Nuclear Hyperfine Structure of Paramagnetic Resonance Spectra in Crystals

A theory is given of the nuclear hyperfine structure of the paramagnetic resonance in hydrated crystals. Starting from the states of a free ion, neglecting spin-dependent terms in the energy, successive steps of perturbation calculation introduce the effect of the crystalline electric field, the spi...

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Bibliographic Details
Published in:Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Mathematical and physical sciences, 1951-01, Vol.205 (1080), p.135-153
Main Authors: Abragam, Anatole, Pryce, Maurice Henry Lecorney
Format: Article
Language:English
Subjects:
Approximation
Electrons
Hyperfine structure
Ions
Magnetic fields
Nuclear interactions
Paramagnetic resonance
Salts
Spin orbit interactions
Symmetry
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Summary:A theory is given of the nuclear hyperfine structure of the paramagnetic resonance in hydrated crystals. Starting from the states of a free ion, neglecting spin-dependent terms in the energy, successive steps of perturbation calculation introduce the effect of the crystalline electric field, the spin-orbit and spin-spin interactions, the coupling with an external magnetic field, and the coupling between the nucleus of the ion and the electrons. The self-consistent field approximation, in which the state of the free ion is described by a single electronic configuration, is found to be inadequate, and it is found necessary to consider admixtures, through configurational coupling, of configurations in which there are unpaired s-electrons, as these contribute significantly to the hyperfine splitting. A review of the application of the theory to the ions of the iron transition group is given.
ISSN:1364-5021
0080-4630
1471-2946
2053-9169
DOI:10.1098/rspa.1951.0022