Large scale multi-configuration Hartree-Fock calculation of the hyperfine structure of the ground state of vanadium |
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Authors: | Oliver Scharf Gediminas Gaigalas |
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Institution: | (1) Research Institute of Theoretical Physics and Astronomy, Vilnius University, A. Goštauto 12, LT-01108 Vilnius, Lithuania;(2) Department of Physics, Vilnius Pedagogical University, Studentu 39, LT-08106 Vilnius, Lithuania |
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Abstract: | The hyperfine structure of the ground state of vanadium, 51VI, is calculated in the nonrelativistic framework of the multi-configuration Hartree-Fock approximation. A configuration state
function limiting algorithm is used to make the calculations feasible and to study the influence of core, valence and core-valence
correlations in detail. The obtained configuration state function space captures the most important orbital correlations within
2%. Further correlations are included through configuration interaction calculation. The atomic state functions are used to
evaluate the magnetic dipole hyperfine factor A and the electric quadrupole factor B. It turns out that the ab initio calculation can not capture the core polarization of the 2s shell. It introduces an error that is higher than the Hartree-Fock approximation. However, the detailed correlations being
observed suggest the introduction of a wrong correlation orbital due to the algorithm being used. Neglecting this orbital
leads to good agreement with 2% deviation from the experimental values for the A factors. |
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Keywords: | Hyperfine structure ab initio multi-configuration Hartree-Fock configuration interaction vanadium |
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