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Andersen et al. [18] have shown that the Be 1s spectrum contains internal fine structure due to the intrinsic excitation of a narrow band of optical phonons. We [20] have calculated the vibrational broadening of each surface core level according to ref. [21]. The resulting curves display the experimentally observed fine structure and, once convoluted with a Gaussian and fitted to DS lineshape, indicate that the error in the peak position induced by the choice of a Gaussian vibrational lineshape is less than 5 meV over the temperature range (173-648 K) of our measurements.
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