Rotational Line Strengths in 3Σ±–3Σ± Transitions with Intermediate Coupling

1971 ◽  
Vol 49 (21) ◽  
pp. 2693-2703 ◽  
Author(s):  
J. B. Tatum ◽  
J. K. G. Watson
Keyword(s):  
Magnetic Dipole ◽  
Electric Dipole ◽  
Diatomic Molecules ◽  
Transition Moment ◽  
Rotational Line ◽  
Intermediate Coupling ◽  
Group Vi ◽  
Transition Moments ◽  
Splitting Constant ◽  
Line Strengths

Rotational line strengths (Hönl–London factors) are calculated for 3Σ±–3Σ± electric dipole transitions, allowing for nonzero values of the splitting constant λ. If the 3Σ states are intermediate between Hund's coupling cases (a) and (b) only one transition moment is required, whereas if there is a tendency to case (c) four transition moments may be required. The resulting formulas are compared with the observed spectra of the diatomic molecules of the Group VI elements. The same formulas are valid for 3Σ±–3Σ± magnetic dipole transitions.

Méthode RAM et Calcul des Fonctions d'Onde Moléculaires Diatomiques et des Facteurs d'Intensité Rotationnelle Tenant Compte du Spin Nucléaire

1973 ◽  
Vol 51 (12) ◽  
pp. 1300-1301 ◽  
Author(s):  
J. L. Féménias ◽  
C. Athénour ◽  
R. Stringat
Keyword(s):  
Electric Dipole ◽  
Nuclear Spin ◽  
Diatomic Molecules ◽  
Electronic States ◽  
Rotational Line ◽  
Line Strengths

Van Vleck's RAM method is used for calculating rotational line strengths in electric dipole transitions between electronic states of diatomic molecules arising from coupling cases which involve the nuclear spin.

Rotational line strengths in4Σ-4Π transition of diatomic molecules

Pramana ◽  
1985 ◽  
Vol 24 (3) ◽  
pp. 503-512
Author(s):  
T K Balasubramanian ◽  
V P Bellary
Keyword(s):  
Diatomic Molecules ◽  
Rotational Line ◽  
Line Strengths

Rotational line strengths in a 5Σ – 5Π transition with application to the A – X system of CrO

1984 ◽  
Vol 62 (12) ◽  
pp. 1610-1615 ◽  
Author(s):  
U. Sassenberg ◽  
A. S.-C. Cheung ◽  
A. J. Merer
Keyword(s):  
Transition Moment ◽  
Rotational Line ◽  
Π State ◽  
Strong Spin ◽  
Line Strengths

Detailed calculations of the line strengths in a 5Σ – 5Π transition as a function of J show that the relative branch intensities in the A – X system of CrO, which do not follow the published formulae for 5Σ(b) – 5Π(a) transitions, can be explained very well in terms of strong spin uncoupling in the 5Π state, with a single perpendicular transition moment dominating. It is emphasized that spin uncoupling affects line strengths by an amount that increases very rapidly with multiplicity, so that algebraic formulae for the pure coupling cases quickly lose their value. An unusual cancellation effect occurs in the main branches of a 5Σ – 5Π transition, nine of which have intensities that drop to zero and then rise again with increasing J.

Rotational line strengths in 3Δ–3Σ electronic transitions. The Herzberg III system of molecular oxygen

1986 ◽  
Vol 64 (1) ◽  
pp. 36-44 ◽  
Author(s):  
C. M. L. Kerr ◽  
J. K. G. Watson
Keyword(s):  
Molecular Oxygen ◽  
Satisfactory Agreement ◽  
Electronic Transitions ◽  
Rotational Line ◽  
Spin Orbit ◽  
First Order ◽  
Order Relations ◽  
Transition Moments ◽  
Wave Numbers ◽  
Line Strengths

Electronic transitions of the type 3Δ–3Σ are forbidden in the absence of spin–orbit or orbit–rotation coupling, but spin–orbit perturbations produce three transition moments, two perpendicular (Y1 and Y2) and one parallel (Z1) while low-order orbit–rotation couplings introduce three further perpendicular transition moments (X1, X2, and X3). Formulas are presented for the rotational line strengths in a 3Δ(a)–3Σ(int) transition in terms of these parameters and are applied to recent data of Coquart and Ramsay for the Herzberg III system [Formula: see text] of molecular oxygen. It is shown that all six parameters are significant, and that there are noticeable departures from the first-order relations Y1 = Y2, Z1 = 0, X1 = X2 = X3. The observation of orbit–rotation intensity effects led to the first identification of lines of the Ω′ = 3 subbands of the 4–0 to 7–0 bands of the Herzberg III system, which are forbidden for the spin–orbit mechanism. The wave numbers of these lines are in satisfactory agreement with the analysis of the A′3Δu → a1Δg emission by Slanger and Huestis.

Rotational line strengths of the multiplot bands in diatomic molecules

1980 ◽  
Vol 60 ◽  
pp. 147-150
Author(s):  
I. Kcvács ◽  
I. Péczeli ◽  
A. Grandfiterre
Keyword(s):  
Diatomic Molecules ◽  
Rotational Line ◽  
Line Strengths

Electronic transition moments for the Herzberg I bands of O2

1996 ◽  
Vol 74 (5-6) ◽  
pp. 185-193 ◽  
Author(s):  
J. P. England ◽  
B. R. Lewis ◽  
S. T. Gibson
Keyword(s):  
Cross Sections ◽  
Electric Dipole ◽  
Electronic Transition ◽  
Line Strength ◽  
Oscillator Strengths ◽  
Transition Moment ◽  
Rotational Line ◽  
Transition Strength ◽  
Electronic Transition Moment ◽  
Good Agreement

Recently published extensive high-resolution measurements of absolute integrated photoabsorption cross sections for rotational lines of the (ν′ = 4–11, ν″ = 0) bands of the O2 Herzberg I system have been fitted using general rotational line-strength formulae for [Formula: see text] transitions. Good fits were obtained using only three independent electronic transition-moment parameters that accounted for transition strength borrowed from electric-dipole-allowed transitions through spin-orbit and orbit-rotation interactions involving both upper and lower states of the transition. Absolute values of transition-moment parameters have been obtained, corresponding to R-centroids from 1.29 to 1.32 Å (1 Å = 10−10 m). Band oscillator strengths derived from the calculated integrated line strengths are in good agreement with most experimental measurements. Principal electronic matrix elements have been estimated by assuming that strength is borrowed from only two electric-dipole-allowed transitions.

Rotational line strengths for the photoionization of diatomic molecules

1992 ◽  
Vol 97 (5) ◽  
pp. 2891-2899 ◽  
Author(s):  
Jinchun Xie ◽  
Richard N. Zare
Keyword(s):  
Diatomic Molecules ◽  
Rotational Line ◽  
Line Strengths
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