We presentabinitioelectronic structure calculations for (Pt/Co/Pt)/X superlattices with X = Pd, Ag, or Cu. Large intrinsic perpendicular magnetic anisotropies, as compared to similar Co/X superlattices, are predicted. On average, the calculated anisotropies decrease in the order Pd ≳ Ag ≳ Cu. In particular, the anisotropy of (1Pt/1Co/1Pt)/1Pd, 3.2×108ergs/cm3(Co), is three times larger than that predicted for either 1Co/3Pt or 1Co/3Pd. ©1995 American Institute of Physics.