A linear interpolation of the electronic levels of f2-system in octahedral coordination

H. U. Rahman

A linear interpolation of the electronic levels of f²-system in octahedral coordination

H. U. Rahman

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Abstract

The transition from LS to jj coupling within the f² configuration is shown schematically as a function of ? F₂, and the composition of levels in the intermediate coupling is given at ? F₂ = 4·2, 8·4 and 12·6. Also, the energy levels of f²-system in an octahedral crystal-field were calculated by diagonalizing complete Coulomb, spin-orbit and crystal-field interaction matrices for a range of values of the parameters F₂, F₄, F₆, ?, A₄ r⁴ and A₆6. The eigenvalues were expanded by T linear interpolation to describe the variation of the energy levels as a function of these parameters is presented. The accuracy of this interpolation is indicated. © 1969.

Original language	English
Pages (from-to)	2497-2502
Number of pages	6
Journal	Journal of Physics and Chemistry of Solids
Volume	30
Issue number	11
Publication status	Published - Nov 1969

Cite this

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title = "A linear interpolation of the electronic levels of f2-system in octahedral coordination",

abstract = "The transition from LS to jj coupling within the f2 configuration is shown schematically as a function of ? F2, and the composition of levels in the intermediate coupling is given at ? F2 = 4·2, 8·4 and 12·6. Also, the energy levels of f2-system in an octahedral crystal-field were calculated by diagonalizing complete Coulomb, spin-orbit and crystal-field interaction matrices for a range of values of the parameters F2, F4, F6, ?, A4 r4 and A66. The eigenvalues were expanded by T linear interpolation to describe the variation of the energy levels as a function of these parameters is presented. The accuracy of this interpolation is indicated. {\textcopyright} 1969.",

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journal = "Journal of Physics and Chemistry of Solids",

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T1 - A linear interpolation of the electronic levels of f2-system in octahedral coordination

AU - Rahman, H. U.

PY - 1969/11

Y1 - 1969/11

N2 - The transition from LS to jj coupling within the f2 configuration is shown schematically as a function of ? F2, and the composition of levels in the intermediate coupling is given at ? F2 = 4·2, 8·4 and 12·6. Also, the energy levels of f2-system in an octahedral crystal-field were calculated by diagonalizing complete Coulomb, spin-orbit and crystal-field interaction matrices for a range of values of the parameters F2, F4, F6, ?, A4 r4 and A66. The eigenvalues were expanded by T linear interpolation to describe the variation of the energy levels as a function of these parameters is presented. The accuracy of this interpolation is indicated. © 1969.

AB - The transition from LS to jj coupling within the f2 configuration is shown schematically as a function of ? F2, and the composition of levels in the intermediate coupling is given at ? F2 = 4·2, 8·4 and 12·6. Also, the energy levels of f2-system in an octahedral crystal-field were calculated by diagonalizing complete Coulomb, spin-orbit and crystal-field interaction matrices for a range of values of the parameters F2, F4, F6, ?, A4 r4 and A66. The eigenvalues were expanded by T linear interpolation to describe the variation of the energy levels as a function of these parameters is presented. The accuracy of this interpolation is indicated. © 1969.

M3 - Article

SN - 0022-3697

VL - 30

SP - 2497

EP - 2502

JO - Journal of Physics and Chemistry of Solids

JF - Journal of Physics and Chemistry of Solids

IS - 11

ER -

A linear interpolation of the electronic levels of f2-system in octahedral coordination

Abstract

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A linear interpolation of the electronic levels of f²-system in octahedral coordination