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Hylleraas method variational calculations up to 367 terms are reported for the three lowest states of neutral helium with 1 D and 1 F symmetry. Convergence arguments are presented to obtain new estimates of the exact non-relativistic energies of these states. The reliability of the estimates ranges from 10 -6 au in the worst case to 10 -9 au in the best case.
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Sims et al. (1982) studied this question.
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