The present article treats the role of the density of electronic states rho(F) at the Fermi level of a metal in affecting the rate of nonadiabatic electron transfer. The rate constant k(ET) is calculated for the electron transfer across an alkanethiol monolayer on platinum and on gold. The rho(F) of platinum is about 7.5 times that of gold, the difference being mainly due to the d band of Pt. In spite of this difference, the electron transfer rate constant k(ET) calculated in the present paper increases only by a factor of about 1.8, instead of the factor of about 7.5 expected using rho(F) alone. Implications of these results for present and past experiments are described. Bands which are weakly coupled (e.g., the d-band of Pt in the present case) contribute much less to the rate constant than is suggested by their density of states rho(F). Thereby, k(ET) is approximately independent of rho(F) in two cases: (1) adiabatic electron transfer and (2) nonadiabatic electron transfer when the extra rho(F) is due to the d electrons. Experiments which can test the latter are discussed.