New variational techniques are described which yield a factor of 1000 improvement in accuracy for the energies of the 1snd ¹D and ³D states of helium up to n=8. Convergence to better than ±{}10 kHz is obtained, making possible high-precision comparisons with experiment for fine structure and singlet-triplet splittings. The comparisons are sensitive to QED, relativistic recoil, and second-order mass-polarization corrections.
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G. W. F. Drake (1987) studied this question.
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