Application of the Williams–Watts decay law to D X center capture and emission kinetics

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Abstract
The Williams–Watts or stretched exponential decay of the form A(t)=exp[−(t/τ)β] and variations of this form are compared to the capture and emission kinetics of the DX center observed by a number of authors. It is found that the time and temperature behavior of the DX center capture and emission characteristics can be reproduced with a thermally activated time constant τ and a linear dependence of β on temperature. Activation energies, lattice vibration frequencies, and models of implicit distributions of activation energies are compared to values previously found in the literature. Consistency is found between parameters for both capture and emission, and implications of this model are discussed.