A formulation is presented to find the electronic states of a D- centr
e in a many-valley semiconductor. Parameterizing the intervalley scatt
ering terms and using a model potential in the central cell region the
D- binding energies in Si and Ge doped with group V elements are calc
ulated variationally, including electron correlation. The binding ener
gy obtained for Si:P and Ge:Sb are in good agreement with experimental
results. D- formed by As donors appears to require a more detailed co
nsideration for the central cell potential.