The quantum chemical approach to the study of surface phenomena is rev
iewed. Although the emphasis is mainly on static, electronic-structure
, approaches, dynamical methods are also considered. Advantages and li
mitations of local cluster models and embedding techniques compared to
periodic band structure treatments are discussed. It is shown how mod
ern quantum chemistry methods are able to address questions which are
relevant in experimental surface science like the determination of ads
orption energies and geometries, the interpretation of vibrational fre
quencies and intensities, the reproduction of optical excitations, pho
toemission spectra, work function changes, EPR spectra, the simulation
of electric field effects and STM images, etc. The potential use of q
uantum chemical approaches in the description of catalytic reactions o
n surfaces, and in particular in the determination of reaction paths a
nd transition states, is also addressed.