We describe a set of experiments that investigate diffusion of barium 6s5d
3DJ metastable level and 6
s21S0 ground-state atoms through the noble gases: He, Ne, Ar, Kr, and Xe. The barium metastable levels were populated through optical pumping of the 6
s21S0\ensuremath{\rightarrow}6s6p
3P1o intercombination transition with a pulsed laser, followed by spontaneous or stimulated emission into the 6s5d
3D1,2 levels. Collisional mixing then distributed population throughout the 6s5d
3DJ levels. A weak narrow-band cw laser was tuned to appropriate transitions to probe the spatial distribution of metastable level atoms, as well as the hole created in the ground-state spatial distribution, by the pulsed laser. Time-dependent absorption coefficients were obtained by measuring the transmission of the probe laser at several different pump-probe spatial separations. From these absorption data, spatial number density profiles were mapped out for various times following the firing of the pump laser. These density profiles were used to determine the diffusion coefficient for each state at a particular buffer-gas pressure and temperature. From these pressure- and temperature-dependent diffusion coefficients D, we determined the thermally averaged diffusion cross sections ${\mathrm{\ensuremath{\sigma}}}_{\mathit{D}}$(6s5d
3DJ) and ${\mathrm{\ensuremath{\sigma}}}_{\mathit{D}}$(6
s21S0) for the metastable and ground-state atoms diffusing through the noble gases, respectively. We also report values for the scaled standard diffusion coefficients
D0. Our experimental values of the thermally averaged diffusion cross sections ${\mathrm{\ensuremath{\sigma}}}_{\mathit{D}}$(6s5d
3DJ) and ${\mathrm{\ensuremath{\sigma}}}_{\mathit{D}}$(6
s21S0) for the barium-helium system are compared with values calculated from published, theoretical barium-helium potentials and the agreement is excellent. \textcopyright{} 1996 The American Physical Society.