Abstract
The vibrational lineshapes of adsorbed molecules are treated theoretically. It is shown that for vibration parallel to the surface the presence of the electron-hole damping mechanism necessarily produces an asymmetric lineshape just as in the case of vibration normal to the surface. In the case of dephasing of an adsorbate vibration due to elastic scattering of electrons the linewidth has a small T dependence. The exchange model of vibrational phase relaxation with a quartic and cubic anharmonism is studied by a new method. The vibrational line profile is calculated exactly.
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