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The local-density scheme is used to calculate the self-consistent electron density of a semi-infinite metal in the presence of a static external field of finite wave vector q_∥. The total electrostatic potential is used to determine the rate of exciting electron-hole pairs at low frequencies. The lifetime of the CO stretch vibration on Cu is calculated and the intensity of inelastically scattered electrons is predicted for finite momentum transfers.
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A. Liebsch (1985) studied this question.
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