Correlated solid like jumps and resonance line shapes in liquids

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Abstract
The effect on resonance lineshapes of a combined rotational process consisting of solid like jumps in an ordered environment and diffusional rotation of the environment is discussed. A general density matrix formalism is developed utilizing group theoretical techniques in treating the symmetry of the environment and the hamiltonian. This analysis is more general than previous work on solids and yields some interesting new results. The problem of the effect of jumps on the powder spectrum of solids is also investigated and it is shown that in sufficient symmetric situations a narrow singular line should appear at the average frequency even for slow jumps rate. Numerical results for the specific case of an octahedral complex, undergoing random distortions along the three fourfold axes, are presented.