Extended equation free-electron density

Equation (72) now gives the measured lifetime as a combination of two effects trapping and detrapping effects in the bulk, and subsequent charge transfer, by a nonlinear dependence on the free carrier density. More complex theories of the electron lifetime extend this model by a combination of mechanisms and will be described later [50, 148, 149]. 

Clemenger s model is, however, non-selfconsistent. Ekardt and Penzar [41,4.3] have extended the jellium mode to account for spheroidal deformations. In this model the ionic background is represented by a distribution of positive charge with constant density and a distorted, spheroidal, shape. The advantage with respect to Clemenger s model is that the spheroidal jellium model is parameter-free and that the calculation of the electronic wave functions is performed self-consistently using the density functional formalism. The distortion parameter is determined by solving the Kohn-Sham equations for different... 

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