scholarly journals Spin-Orbit Perturbation in Heavy Alkali Atoms

1970 ◽  
Vol 25 (5) ◽  
pp. 267-270 ◽  
Author(s):  
G. Baum ◽  
M. S. Lubell ◽  
W. Raith
Keyword(s):  
Spin Orbit ◽  
Orbit Perturbation ◽  
Alkali Atoms

Ligand Field-Spin Orbit Energy Levels in the d4 and d6 Electron Configurations of Octahedral and Tetrahedral Symmetry

1974 ◽  
Vol 29 (1) ◽  
pp. 31-41 ◽  
Author(s):  
E. König ◽  
S. Kremer
Keyword(s):  
Strong Field ◽  
Energy Levels ◽  
Coulomb Repulsion ◽  
Orbit Interaction ◽  
Complete Agreement ◽  
Ligand Field ◽  
Spin Orbit ◽  
Tetrahedral Symmetry ◽  
Spin Orbit Interaction ◽  
Orbit Perturbation

The complete ligand field -Coulomb repulsion -spin orbit interaction matrices have been derived for the d4 and d6 electron configurations within octahedral (Oh) and tetrahedral (Td) symmetry. The calculations were perform ed in both the weak-field and strong-field coupling schemes and complete agreement of the results was achieved. The energy matrices are parametrically dependent on ligand field (Dq), Coulomb repulsion (B, C) and spin-orbit interaction (ζ). Correct energy diagrams are presentend which display the splittings by spin-orbit perturbation as well as the effect of configuration mixing. Applications to the interpretation of optical spectral data, to the detailed behavior at the crossover of ground terms, and to complete studies in magnetism are pointed out.

scholarly journals Ligand-Field Spin-Orbit Energy Levels in the d5 Electron Configuration of Octahedral and Tetrahedral Symmetry

1974 ◽  
Vol 29 (3) ◽  
pp. 419-428 ◽  
Author(s):  
E. König ◽  
R. Schnakig ◽  
S. Kremer
Keyword(s):  
Strong Field ◽  
Energy Levels ◽  
Orbit Interaction ◽  
Complete Agreement ◽  
Ligand Field ◽  
Electron Configuration ◽  
Spin Orbit ◽  
Tetrahedral Symmetry ◽  
Spin Orbit Interaction ◽  
Orbit Perturbation

The complete ligand-field, Coulomb interelectronic repulsion, and spin-orbit interaction matrices have been derived for the d5 electron configuration within octahedral (Oh) and tetrahedral (Td) symmetry. The calculations were performed in both the weak-field and strong-field coupling schemes and complete agreement of the results was achieved. The energy matrices are parametrically dependent on ligand field (Dq), Coulomb repulsion (B, C), and spin-orbit interaction (ζ). Correct energy diagrams are presented which display the splittings by spin-orbit perturbation as well as the effect of configuration mixing. Applications to the interpretation of electronic spectra, and to complete studies in magnetism are pointed out. The detailed behavior at the crossover of ground terms is considered

Crystal field-spin orbit perturbation calculations in d2 and d8 trigonal bipyramidal complexes

1970 ◽  
Vol 74 (7) ◽  
pp. 1568-1585 ◽  
Author(s):  
Clifford A. L. Becker ◽  
Devon W. Meek ◽  
Thomas M. Dunn
Keyword(s):  
Crystal Field ◽  
Spin Orbit ◽  
Trigonal Bipyramidal ◽  
Orbit Perturbation

How the spin-orbit interaction appears with the same order of a non-commutative change of framework for relativistic fermions

2018 ◽  
Vol 33 (27) ◽  
pp. 1850158
Author(s):  
Z. Derakhshani ◽  
M. Ghominejad
Keyword(s):  
Relativistic Equation ◽  
Orbit Interaction ◽  
Physical Interaction ◽  
Spin Orbit ◽  
Spin Orbit Interaction ◽  
Orbit Perturbation ◽  
Tiny Amount ◽  
Relativistic Equation Of Motion ◽  
Outstanding Result ◽  
Energy Dependent

In this research, in a difficult but absolutely precise way of calculation, we show how a very tiny amount of a non-commutative change of quantum space would appear almost as big as a normal physical interaction, namely the Rashba spin-orbit interaction, for relativistic fermions. Hence, in order to show that, we firstly solve a relativistic equation of motion of a Dirac particle, influenced by a typical harmonic energy-dependent interaction for commutative and non-commutative frameworks via the Nikiforov–Uvarov exact approach. Then to study perturbation effects of a spin-orbit interaction, we apply it for both mentioned frameworks, obtaining their energy polynomial relations and discriminant formula to precisely extract all physical-admissible roots of their quartic equations. In this step, we analyze the behaviors of their quartic eigenvalue polynomials in four sections and accurately compare them one by one. Finally, we distinctly show that the magnitude of the physical spin-orbit perturbation appears, almost of the same order of imposing a non-commutative geometry change of framework, as an outstanding result.

Core-polarization effects in the alkali atoms: oscillator-strength calculations

1986 ◽  
Vol 64 (8) ◽  
pp. 867-871 ◽  
Author(s):  
Inmaculada Martin ◽  
Carmen Barrientos
Keyword(s):  
Oscillator Strength ◽  
Dipole Transition ◽  
Quantum Defect ◽  
Oscillator Strengths ◽  
Transition Moment ◽  
Spin Orbit ◽  
Core Polarization ◽  
Polarization Effects ◽  
Alkali Atoms ◽  
Dipole Transition Moment

Oscillator strengths for the alkali group of elements have been computed through the quantum defect orbital (QDO) formalism. Three forms of the dipole transition moment have been employed, two of them accounting for core–valence polarization. Clear improvement is obtained over the nonpolarized calculations for the lighter elements, whereas for K, Rb, and Cs, the additional inclusion of spin–orbit effects is shown to be required.

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