In standard ab initio molecular quantum-mechanical calculations it is diffi
cult, if at all possible, to calculate fundamental chemical properties like
atomisation energies and reaction enthalpies to the chemical accuracy of 1
kcal/mol approximate to 4 M/mol. The principal obstacle is the presence of
the Coulomb hole in the electronic wave function, whose description conver
ges slowly with the size of the basis set. From a systematic sequence of ba
sis-set calculations, we demonstrate that physically motivated extrapolatio
ns can be used to accelerate the basis-set convergence significantly and th
at, for highly correlated wave functions, chemical accuracy is obtained eve
n with medium-sized basis sets when the extrapolation is used. (C) 2001 Els
evier Science B.V. All rights reserved.