A minimal Slater basis set valence-bond calculation for the ground state of methane, including all possible structures not involving carbon 1s2 excitations is reported. Simplifications for the computation of the matrix elements between Slater determinants are outlined. Comparisons are made with truncated expansions that include only certain valence-bond structures chosen according to physical criteria and with SCF-CI calculations. The result suggests that suitably selected valence-bond functions can be of utility for potential energy surface calculations.
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Raimondi et al. (1977) studied this question.
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