The electronic structure of Sr-doped La2CuO4 has been investigated by means
of cluster calculations. The results indicate changes in the energies of t
he molecular orbitals when a copper atom is in the neighborhood of a Sr; in
particular, the spin-orbit coupling is altered. It is shown that the Cu nu
clear spin-lattice relaxation time depends crucially on this coupling when
measured along the direction perpendicular to the CuO2 planes. II is argued
that the results presented here are compatible with recent experimental ob
servations.