By A. Abragam
This booklet is a reissue of a vintage Oxford textual content, and gives a complete therapy of electron paramagnetic resonance of ions of the transition teams. The emphasis is on easy rules, with quite a few references to courses containing extra experimental effects and extra distinct advancements of the idea. An introductory survey provides a normal knowing, and a common survey offers such themes because the classical and quantum resonance equations, the spin-Hamiltonian, Endor, spin-spin and spin-lattice interactions, including an summary of the recognized behaviour of ions of every of the 5 transition teams, on the experimentalist's point. eventually a theoretical survey, utilizing workforce concept and symmetry homes, discusses the basics of the speculation of paramagnetism.
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Extra info for Electron Paramagnetic Resonance of Transition Ions
Terms with maximum spin 8), X = ±(£/2/S) with the upper and lower signs appropriate to electron shells less or more than half-filled respectively. This splits a given term into a multiplet of levels with different values of J. The components of the multiplet are split by ~102 cm"1 for 3d electrons (see Fig. 14), and by larger amounts for ions with larger atomic numbers. "1); in L$-coupling it may be written in the form ELECTRON PARAMAGNETIC RESONANCE 43 FIG. 14. 3. These are formed from the three electrons in the 3c?
This results in level splittings for the magnetic electrons, corresponding to a 'Stark' effect with a rather complex electric potential. In this formalism three approaches arise (I, II, III, below), corresponding to the three extremes set out in the previous paragraph ; a more sophisticated approach is outlined in (IV). (I) Weak ligand field (crystal potential < spin-orbit coupling) If the splittings are small compared with the spin-orbit coupling we can work in terms of J with, if necessary, corrections for coupling to states of different J (usually the first excited state, «7±1, will suffice).
72). If D were positive, this would be the ground state, but as no electron magnetic resonance signal can be observed from an electronic singlet state we shall not consider it further, beyond remarking that for it the value of P\\ can be found by nuclear magnetic resonance or nuclear electric quadrupole resonance. 8. )}, which is appropriate to the case of axial symmetry. 66) and The strongly allowed transitions are given by the rule AJf = ±1, Am = 0. 69). 71). However, except when H is along the symmetry axis, the nuclear electric quadrupole interaction gives rise to terms off-diagonal in /, whose effects cannot be neglected unless (PIA) < 1.