The electronic structure and the spectroscopic properties for low-lying electronic states of the LiRb þ molecular ion, dissociating into Li (2s, 2p, 3s, 3p, 3d, 4s, and 4p) þ Rb þ and Li þ þ Rb (5s, 5p, 4d, 6s, 6p, 5d, and 7s), have been investigated using an ab initio approach based on non-empirical pse-udo potentials for the Li and Rb cores and parametrized l-dependent polarization potential. We have determined the adiabatic potential energy curves and their spectroscopic constants for many electronic states of 2 R þ , 2 P, and 2 D symmetries. A satisfying agreement, for the [a] C.