Spin–orbit coupling of the NaK 33Π and 31Π states: Determination of the coupling constant and observation of quantum interference effects

The position of the F band peak is determined in additively coloured CaF 2 , SrF 2 and BaF 2 by the Faraday rotation method. However, in additively coloured crystals, the F band is normally overlaid by absorption due to higher F aggregate centres and a determination of the spin orbit coupling constant in the excited 2 P state of the F centre is not feasible since a precise knowledge of the F band optical density is required. It is found that trapped electron centres are produced by X-irradiation at 77 °K of undoped SrF 2 and BaF 2 crystals and hydrogen doped CaF 2 , SrF 2 and BaF 2 crystals and the spin orbit coupling is determined for these centres. Paramagnetic resonance measurements show (Bessent, Hayes, Hodby & Smith 1968) that the trapped electron centres are closely related to the normal F centres found in additively coloured crystals. Wavefunctions obtained from a point ion model (Bennett & Lidiard 1965) are used to calculate the spin orbit coupling for the 2 P state of the F centre in CaF 2 , SrF 2 and BaF 2 . For comparison with theory it is assumed that the spin orbit coupling for the irradiation induced trapped electron centres is not appreciably different from that for normal F centres and we obtain good agreement between theory and experiment.

Download Full-text

Quantum Number Dependence of the Spin–Orbit Coupling in the X2Π State of PO

Canadian Journal of Physics ◽

10.1139/p75-052 ◽

1975 ◽

Vol 53 (4) ◽

pp. 420-423 ◽

Cited By ~ 12

Author(s):

H. R. Zaidi ◽

R. D. Verma

Keyword(s):

Coupling Parameter ◽

Orbit Coupling ◽

Second Derivative ◽

Spin Orbit Coupling ◽

Spin Orbit ◽

Coupling Constant ◽

Common Assumption ◽

Derivatives Of ◽

Π State

Expressions are derived for the spin–orbit coupling constant, AvJ, for an isolated 2Π state of a diatomic molecule. These results are applied to the X2Π states of PO. Comparison with the available experimental results allows a determination of the first three derivatives of the coupling parameter at the equilibrium position. It is found that the second derivative gives the largest contribution, thus invalidating a common assumption of the existing theories.

Download Full-text

Ground configuration splitting in UCl5

Canadian Journal of Physics ◽

10.1139/p77-125 ◽

1977 ◽

Vol 55 (10) ◽

pp. 937-942 ◽

Cited By ~ 12

Author(s):

A. F. Leung ◽

Ying-Ming Poon

Keyword(s):

Crystal Field ◽

Energy Levels ◽

Orbit Coupling ◽

Spin Orbit Coupling ◽

Spin Orbit ◽

Coupling Constant ◽

Point Charge Model ◽

X Ray Crystallography ◽

Charge Model ◽

Crystal Field Parameters

The absorption spectra of UCl5 single crystal were observed in the region between 0.6 and 2.4 μm at room, 77, and 4.2 K temperatures. Five pure electronic transitions were assigned at 11 665, 9772, 8950, 6643, and 4300 cm−1. The energy levels associated with these transitions were identified as the splittings of the 5f1 ground configuration under the influence of the spin–orbit coupling and a crystal field of C2v symmetry. The number of crystal field parameters was reduced by assuming the point-charge model where the positions of the ions were determined by X-ray crystallography. Then, the crystal field parameters and the spin–orbit coupling constant were calculated to be [Formula: see text],[Formula: see text], [Formula: see text], and ξ = 1760 cm−1. The vibronic analysis showed that the 90, 200, and 320 cm−1 modes were similar to the T2u(v6), T1u(v4), and T1u(v3) of an UCl6− octahedron, respectively.

Download Full-text

Magnetic Susceptibilities of 2T2 Ions. Part 1

Canadian Journal of Chemistry ◽

10.1139/v72-233 ◽

1972 ◽

Vol 50 (10) ◽

pp. 1468-1471 ◽

Cited By ~ 1

Author(s):

Alan D. Westland

Keyword(s):

Magnetic Susceptibility ◽

Excited State ◽

Reduction Factor ◽

Orbit Coupling ◽

Spin Orbit Coupling ◽

Spin Orbit ◽

Coupling Constant ◽

Magnetic Susceptibilities

An expression for the magnetic susceptibility of octahedral d1 complexes is derived exactly in terms of an orbital reduction factor k taking into account the presence of the formal 2E excited state. Sample calculations show that the improved expression gives results for susceptibility which are lower at times by several percent from those given by previous expressions. The results given by Figgis using Kotani's method are adequately precise when the spin–orbit coupling constant is no larger than ~0.1 Dq.

Download Full-text