Paramagnetic Resonance in some Complex Cyanides of the Iron Group II. Theory
B Bleaney; M C M O'Brien; B Bleaney; Clarendon Laboratory, Oxford; M C M O'Brien; Clarendon Laboratory, Oxford
Журнал:
Proceedings of the Physical Society. Section B
Дата:
1956-12-01
Аннотация:
The theory of Stevens for covalent XY<sub>6</sub> complexes is developed for the cases of d<sup>3</sup> and d<sup>5</sup> with low symmetry, and compared with the magnetic resonance results of the preceding paper. The effect of the coupling to the doublet states on the spin Hamiltonian constants for the d<sup>3</sup> complexes is found to be small compared with that of coupling to the quartet states, although the latter are probably further removed energetically. In the d<sup>5</sup> complexes it is shown that the relation between the g-values and the susceptibility does not depend on the orientation of the principal axes of the g tensor relative to the complex; the principal values of the susceptibility of K<sub>3</sub>Fe(CN)<sub>6</sub> are calculated from the g-values and compared with earlier experimental determinations, the value of the spin-orbit coupling being adjusted to give the best fit. The observed hyperfine constants for K<sub>4</sub>Mn(CN)<sub>6</sub>3H<sub>2</sub>O are compared with the theoretical expressions and can be explained with reasonable values of the parameters. The orbital g-factor k is found to be 0.87 for the ferricyanide and 0.74 for the manganocyanide. An appendix discusses the conditions under which hyperfine terms of low symmetry can appear in the spin Hamiltonian, and the effect they may have on the observed spectrum.
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