Abstract
The hyperfine splitting and energy are calculated for both Hartree–Fock (HF) and extended Hartree–Fock (EHF) wavefunctions for the ground state of lithium. The EHF wavefunction is a two-determinant eigen-function of S2 and Sz. A variational principle is used to give three coupled integrodifferential equations that are solved self-consistently. The coupled equations are solved by an iterative numerical integration technique and the resulting energy is better than any similar previous calculation. For the EHF approximation the energy is found to be −14.89496 and the hyperfine splitting constant 〈f〉 is 2.400. For the HF approximation the energy is −14.86544 and the 〈f〉 is 2.097. The results are compared with similar, previous calculations.
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