Abstract
The binding energies of the lowest excited S and P states of the Wannier exciton and Wannier-exciton-ionised-donor complex in crystalline CdS are calculated using the best effective electron-hole interaction potentials available. For the exciton, reasonably good quantitative agreement with experiment is achieved. For the complex, some states of S symmetry are found which do not have any counterpart in the experimental results. Possible reasons for the discrepancy are pointed out. The binding energies of the P states of the complex are calculated for the first time, and a corresponding experimental investigation is suggested.