The need for an accurate description of the electronic structure of the important laseractive ion Nd3+ stimulated this work. We calculated self-consistent-field wave functions by the analytical-expansion method for the ground state of the laser-active ion Nd3+(Z=60), 4f3, 4I. The results represent the most accurate wave functions for Nd3+ published. All the exponents of the basis functions in the analytical expansion were exhaustively optimized. The virial theorem was satisfied to seven significant figures. Values of <rn> for the 4f orbital are included.