We show that various factors can lead to an isotopic dependence of the
penetration depth delta. Nonadiabaticity (Jahn-Teller crossing) leads
to the isotope effect of the charge-carrier concentration n and, cons
equently, of delta in doped superconductors such as the cuprates. A ge
neral equation relating the isotope coefficients of T-c and of delta i
s presented for London superconductors. We further show that the prese
nce of magnetic impurities or a proximity contact also lead to an isot
opic dependence of delta; the isotope coefficient turns out to be temp
erature dependent, beta(T), in these cases. The existence of the isoto
pe effect for the penetration depth is predicted for conventional as w
ell as for high-temperature superconductors. Various experiments are p
roposed and/or discussed. [S0163-1829(98)03617-0].