TY - JOUR
T1 - Spin-optimized self-consistent-field function. II. Hyperfine structure of atomic nitrogen
AU - Kaldor, Uzi
PY - 1970
Y1 - 1970
N2 - The spin-optimized self-consistent-field (SOSCF) method, based on optimizing the spin function in the whole (S, Ms) space simultaneously with spatial orbital optimization, is applied to the S4 ground state of the nitrogen atom. The maximally paired Hartree-Fock (MPHF) function, where both 1s and 2s electron pairs are associated with the singlet factor, is also calculated, as are functions in which either the 1s or the 2s electrons are thus paired. The SOSCF energy is -54.421 67 Hartree, compared with -54. 400 93 by the restricted Hartree-Fock (RHF) and -54. 417 22 by the MPHF methods. The net spin density at the nucleus, responsible for the hfs of nitrogen, is 0. 1200 a.u., compared with 0. 1853 a.u. by the spin-extended Hartree-Fock method and the experimental value of 0.0972 a.u. (the RHF and MPHF methods give 0). The contributions of the 1s and 2s pairs, obtained from two separate calculations employing two-dimensional subspaces of the six-dimensional spin-function space, add very nearly to the full SOSCF results for the energy and spin density. The SOSCF orbitals are also described. Their most interesting feature is the nonexistence of radial nodes in any of them.
AB - The spin-optimized self-consistent-field (SOSCF) method, based on optimizing the spin function in the whole (S, Ms) space simultaneously with spatial orbital optimization, is applied to the S4 ground state of the nitrogen atom. The maximally paired Hartree-Fock (MPHF) function, where both 1s and 2s electron pairs are associated with the singlet factor, is also calculated, as are functions in which either the 1s or the 2s electrons are thus paired. The SOSCF energy is -54.421 67 Hartree, compared with -54. 400 93 by the restricted Hartree-Fock (RHF) and -54. 417 22 by the MPHF methods. The net spin density at the nucleus, responsible for the hfs of nitrogen, is 0. 1200 a.u., compared with 0. 1853 a.u. by the spin-extended Hartree-Fock method and the experimental value of 0.0972 a.u. (the RHF and MPHF methods give 0). The contributions of the 1s and 2s pairs, obtained from two separate calculations employing two-dimensional subspaces of the six-dimensional spin-function space, add very nearly to the full SOSCF results for the energy and spin density. The SOSCF orbitals are also described. Their most interesting feature is the nonexistence of radial nodes in any of them.
UR - http://www.scopus.com/inward/record.url?scp=35949039301&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.1.1586
DO - 10.1103/PhysRevA.1.1586
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AN - SCOPUS:35949039301
SN - 1050-2947
VL - 1
SP - 1586
EP - 1592
JO - Physical Review A
JF - Physical Review A
IS - 6
ER -