Energy levels of the shallow acceptor states have been calculated for center-doped Si/Si1-xGex/Si quantum wells. The impurity states were calculated using an effective-mass theory that accounts for valence-band mixing as well as the mismatch of band parameters and dielectric constants between well and barrier materials. Acceptor binding energies and splitting between the acceptor 1S3/2(Γ7) and 1S3/2(Γ6) ground states were studied at various Ge concentrations and well widths. The results are discussed in comparison with the recent conclusion from the lateral transport measurements in boron-doped Si/SiGe quantum wells. © 1999 American Institute of Physics.