Abstract
Introduction of non-integral power of r of the elliptical coordinate ξ into the definition of the 1s atomic orbital gives better approximate wavefunctions for the ground state of H2 and He2+2 than other functions of comparable complexity. This trend is examined in the framework of a limited configuration interaction calculation using numerical integration for molecular one-and two-electron integrals. A new four-parameter basis function; χ=(1+pRξn) exp(–αξ±βη)R is presented as a generalization of the Guillemin–Zener function. The single-term expansion energies optimized in the latter case are only 0.000 24 and 0.000 55 a.u. above the “SCF limit” for H2(at R= 1.4 a.u.) and He2+2(at R = 1.3 a.u.) respectively.
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More From: Journal of the Chemical Society, Faraday Transactions 2
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