The use of wave packets in time-dependent quantum mechanical studies o
f chemical reaction dynamics is examined. The basic priniciples of tim
e-dependent scattering theory are reviewed. The Fourier-grid method an
d various propagation schemes are discussed. A number of useful method
ologies are examined, such as discrete variable representations and cl
ose-coupling expansions, multiconfiguration self-consistent field form
ulations, and the mixing of classical with quantum variables. Numerous
applications to gas-surface scattering are considered. The dissociati
ve adsorption of diatomic molecules on metal surfaces and the Eley-Rid
eal recombination of gas-phase atoms with atoms adsorbed on surfaces a
re discussed in detail. Applications to gas-phase reactions are also e
xamined, with emphasis on three-body A + BC and four-body AB + CD reac
tions.