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

1975 ◽  
Vol 53 (4) ◽  
pp. 420-423 ◽  
Author(s):  
H. R. Zaidi ◽  
R. D. Verma

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.

1981 ◽  
Vol 59 (12) ◽  
pp. 1851-1861 ◽  
Author(s):  
A. Jenouvrier ◽  
B. Pascat

The deperturbed vibration–rotation constants of the A2Π and X2Σ+ states of BS are obtained. The perturbations in the levels of the A2Π state observed in the A2Π–X2Σ+ system are treated and are the result of interactions with high levels of the X2Σ+ state. The electronic factors of the spin–orbit and rotation–electronic perturbation matrix elements for the A ~ X interaction are evaluated. The deperturbed spin–orbit coupling constant of the A state is determined.


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.


1976 ◽  
Vol 54 (8) ◽  
pp. 907-914 ◽  
Author(s):  
J. Malicet ◽  
J. Brion ◽  
H. Guenebaut

The emission spectrum of the P2+ molecular ion has been obtained with a high frequency discharge through a mixture of helium and phosphorus vapour. Both the C2Π–X2Π and D2Π–X2Π systems have been photographed under high dispersion and their rotational structure analysed.The previously known C2Π–X2Π system has been completed by analysing 21 new bands. The D2Π(inv)–X2Π system has not been observed previously. For the three states, involved in these two transitions, the vibrational and rotational constants have been calculated or refined. The p constants for the Λ-doubling for each state have been evaluated. Finally the interpretation of the data of the C2Π state requires a centrifugal distortion term AD in the spin–orbit coupling constant A.


1977 ◽  
Vol 55 (10) ◽  
pp. 937-942 ◽  
Author(s):  
A. F. Leung ◽  
Ying-Ming Poon

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.


1972 ◽  
Vol 50 (10) ◽  
pp. 1468-1471 ◽  
Author(s):  
Alan D. Westland

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.


2018 ◽  
Vol 112 (7) ◽  
pp. 071903 ◽  
Author(s):  
Nicolas Chauvin ◽  
Amaury Mavel ◽  
Ali Jaffal ◽  
Gilles Patriarche ◽  
Michel Gendry

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