The resonance Raman spectrum of 45( + - 3) Å diameter CdSe clusters was measured. The incident photons were resonant with the HOMO-LUMO transition in the clusters. At low temperature, one mode at 205 cm-1 is observed, as well as two overtones, with the integrated areas under these peaks in the ratio of 9:3:1. This mode is assigned as the longest wavelength longitudinal optical vibration of the cluster. The strength of the coupling between the lowest electronic excited state and the LO vibration is found to be 20 times weaker in these clusters than in the bulk solid. The CdSe cluster resonance Raman spectrum is shown to be consistent with the recently measured homogeneous cluster absorption spectrum. © 1989 American Institute of Physics.