Positions of the lowest odd-parity ${}_{}{}^{1,3}{}_{}{}^{}D$ states in He have been calculated variationally. The trial wave function of Hylleraas type with four nonlinear parameters has been used. The results for the lowest ${}_{}{}^{1,3}{}_{}{}^{}D$ states obtained by using 112 terms in the wave function are lower than the previous results. The mass-polarization correction has been also calculated. The transition $2{}_{}{}^3{}_{}{}^{}P_{}^e{}_{}{}^{}\to 3{}_{}{}^3{}_{}{}^{}D_{}^0{}_{}{}^{}$ is of wavelength 3014.16 Å, which agrees well with the previous calculation and the experimental result. The ${}_{}{}^{1,3}{}_{}{}^{}D_{}^0{}_{}{}^{}$ states of ${\mathrm{H}}^{-}$ were also investigated, but no states of odd parity were found in this calculation.

• Received 17 July 1972

DOI:https://doi.org/10.1103/PhysRevA.6.2498