Narrow multiplets

Let us consider the multiplet of J values whose width is small compared with kT. In this rather hypothetical case the probabilities of occupation of each of the states are all equal. This situation is characterised by the condition 

This formula is applicable to a free ion at a sufficiently high temperature. 

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The respective C-7—H signals, a broad multiplet in the NMR spectrum of ( )-elaeocarpine and a narrow multiplet in the spectrum of ( )-isoelaeocarpine, provide the key to the stereochemistry at the... 

Fig. 8.17. Multiplet width as compared with thermal energy (a) wide multiplets (b) multiplets of intermediate width (c) narrow multiplets.

Isotropic exchange in heterospin dinuclear complexes differs from the homospin case in that the second-order van Vleck coefficients are also non-zero. The final formula for the magnetic susceptibility resembles the case of the narrow multiplets for mononuclear systems spin-orbit coupling can be formally substituted by spin-spin (exchange) coupling. However, the local atomic g-tensors should be properly combined into the molecular-state g-tensor. 

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