The photodesorption of a diatomic from a metal surface, following abso
rption of visible or UV light, involves electronic transitions of the
desorbing species coupled to the lattice vibrations and electron-hole
excitations of the substrate. We present a general treatment of these
phenomena, based on the Liouville-Von Neuman equation for the density
operator, and a stochastic theory of localized perturbations in an ext
ended system. The Hamiltonian of the extended molecular system is divi
ded into a term for the localized primary degrees of freedom (DFs) aff
ected by the desorption, coupled to secondary DFs that acts as a time-
evolving bath. A self-consistent field treatment gives an effective (n
on-Hermitian) Hamiltonian for the primary DFs that accounts for energy
fluctuation and dissipation in terms of the properties of adsorbate a
nd substrate. A diabatic electronic representation is used to eliminat
e momentum couplings between adsorbate electronic states. The bath dyn
amics is studied for lattice vibrations and for electronic excitations
. Electron-hole excitations of the substrate are considered for intrab
and and interband transitions. The assumption of Brownian motion leads
to expressions for the dissipative potentials in terms of the time-co
rrelation functions of lattice displacements and of electron density f
luctuations. The dissipation depends on time, allowing for time-depend
ent substrate temperatures and generalizing the Langevin description.
Dissipation contributes to the time evolution of both ground and excit
ed electronic states of the desorbing species. The model is discussed
for the special case of Ni(001)(ads)CO. (C) 1995 American Institute of
Physics.