Relativistic configuration interaction calculations are carried out to study the electronic structure and spectroscopic properties of InI and InI + . Potential energy curves of the ground and a number of low-lying states are constructed. Spectroscopic parameters of the bound states of both species are computed and compared with the experimental and other theoretical data. Effects of spin-orbit coupling on the spectroscopic properties are studied. Because of the presence of the heavy atoms the effect is large. The spin-orbit splitting of the ground state (X 2 ) of InI + is more than 8350 cm −1 . As a result of the strong spin-orbit interaction between X