The use of genealogical spin-adapted functions (SAFs) in the table-CI metho
d for the description of electron correlation in molecular electronic struc
ture calculations is suggested. It is demonstrated that genealogical functi
ons are compatible with the basic idea of a double representation of SAFs.
The genealogical SAFs are shown to lead to an upper triangular matrix relat
ing spin-projected main determinants and SAFs as opposed to a fully populat
ed square matrix. Consequently, a computational efficiency increase of appr
oximately a factor of 2 for this stage of the calculation is expected. (C)
2001 John Wiley & Sons, Inc.