Geometry optimization has been carried out for three test molecules using s
ix multilevel electronic structure methods, in particular Gaussian-2, Gauss
ian-3, multicoefficient G2, multicoefficient G3, and two multicoefficient c
orrelation methods based on correlation-consistent basis sets. In the Gauss
ian-2 and Gaussian-3 methods, various levels are added and subtracted with
unit coefficients, whereas the multicoefficient Gaussian-x methods involve
noninteger parameters as coefficients. The multilevel optimizations drop th
e average error in the geometry (averaged over the 18 cases) by a factor of
about two when compared to the single most expensive component of a given
multilevel calculation, and in all 18 cases the accuracy of the atomization
energy for the three test molecules improves; with an average improvement
of 16.7 kcal/mol. (C) 2000 American Institute of Physics. [S0021-9606(00)30
307-5].