Incomplete phonon relaxation in X-ray emission
We calculate the phonon broadening in x-ray emission for Li, Na, Al, and K, treating the excitation and the subsequent emission as one quantum process. When the core-hole lifetime width is of the same order as the Debye energy, incomplete phonon relaxation gives a partial quenching of the Stokes shift and an additional width. This effect has previously not been seriously investigated; we find here