C. Angeli et al., MULTIREFERENCE PERTURBATION CI .1. EXTRAPOLATION PROCEDURES WITH CAS OR SELECTED ZERO-ORDER SPACES, Theoretical chemistry accounts, 98(1), 1997, pp. 57-63
We discuss the ''three class'' approximation to full multireference pe
rturbation CI, which greatly reduces the computational effort by restr
icting the summation of diagrams to determinants belonging to a subspa
ce of the zero-order space. In the framework of the CIPSI algorithm, w
e propose a new extrapolation procedure allowing recovery of the full
''two class'' results. The new procedure is applied to complete active
spaces (CAS) and to individually selected zero-order spaces. Comparis
on with a full two class calculation on a CAS shows a reduction of com
puter time of one or two orders of magnitude in the tests presented he
re, with an accuracy in the order of 0.1 kcal/mol. Our procedure can t
hus compete with the CASPT2 algorithm, specifically conceived to deal
with CAS. In the case of selected zero-order spaces, the speed-up is l
ess dramatic but the method still retains its advantages.