STONEHAM, AM; (1968) The shapes of inhomogeneously broadened resonance lines II. Second-order effects. Journal of Physics C: Solid State Physics , 1 (3) 565 - 574. 10.1088/0022-3719/1/3/302.

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Abstract

Resonance lines may be broadened by random strains, local electric field or similar perturbations. In simple cases the resonance line shifts linearly with the local strain or electric field; such cases have been treated in an earlier paper. In more complex cases there is no linear shift and the transition energy contains terms quadratic in the perturbation. Such cases occur frequently in spin resonance and nuclear magnetic resonance. These cases cannot be treated by the method used in the linear problem. The present paper describes an approximate method which deals with the quadratic terms. The method is a development of the powerful `statistical method' and can be extended to still higher orders. It is compared with various other approaches to the second-order problem and illustrated by an idealized model and applied to broadening by dislocations. It is shown that dislocation-broadened lines have a width and shift linear in the dislocation density and that the line shape changes as the dislocation density is varied.

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