Fluorescence quenching by a series of spin-labelled fatty acids is used to map the transverse disposition of tryptophan residues in bacteriorhodopsin (the sole protein in the purple membranes of Halobacterium halobium). A new method of data analysis is employed which takes into account differences in the uptake of the quenchers into the membrane. Energy transfer from tryptophan to a set of n-(9- anthroyloxy) fatty acids is used as a second technique to confirm the transverse map of tryptophan residues revealed by the quenching experiments. The relative efficiencies of quenching and energy transfer obtained experimentally are compared with those predicted on the basis of current models of bacteriorhodopsin structure. Most of the tryptophan fluorescence is located near the surface of the purple membrane. When the retinal chromophore of bacteriorhodopsin is removed, tryptophan residues deep in the membrane become fluorescent. These results indicate that the deeper residues transfer their energy to retinal in the native membrane. The retinal moiety is therefore located deep within the membrane rather than at the membrane surface.