The ground state of the germanium atom is a 
P configuration which
can be described by a single determinant. The orbitals for the
determinant were obtained from a LSDA calculation for the atomic
ground state. A spherically-symmetric 
function was used for
both up- and down-spin electrons of the form of the function f of
Eq.(
) with 
=10 
. It is appropriate to choose
this form for a pseudo-atom because the lack of electron-ion cusp
condition implies that should be smooth at the origin. For the
u functions we used the same form as for the HEG and germanium solid
calculations, Eqs.(-), with =10 .