The theoretical cross‐section data for single‐electron capture in collisions of multiply charged ions with nonhydrogenic atoms are compiled and their accuracy is assessed. The energy per unit mass range considered is from ∼1 eV/u to several MeV/u, u being the unified atomic mass unit. Accuracy is assessed using both pure theoretical arguments and comparison with experimental data, where available. A similar assessment is performed for the two‐electron capture cross‐section data in ion–atom collisions, as well as for single‐ and double‐charge exchange in ion–ion collisions.