Cooperative Optical Transitions in the Oxygen Dimer: Excimer States, Selection Rules, and Oscillator Strengths

1972 ◽  
Vol 56 (7) ◽  
pp. 3278-3287 ◽  
Author(s):  
George Louis Zarur ◽  
Ying‐Nan Chiu
Keyword(s):  
Oscillator Strengths ◽  
Optical Transitions ◽  
Selection Rules

Oscillator strengths of interband magneto-optical transitions in strained-layer heterostructures

1988 ◽  
Vol 196 (1-3) ◽  
pp. 545-550 ◽  
Author(s):  
J.A. Brum ◽  
P. Voisin ◽  
M. Voos ◽  
L.L. Chang ◽  
L. Esaki
Keyword(s):  
Oscillator Strengths ◽  
Optical Transitions ◽  
Strained Layer

C. Coordination compounds - The effect of ring size and conformation on the rotatory strength of tris-(bidentate) complexes

1967 ◽  
Vol 297 (1448) ◽  
pp. 79-87 ◽  
Keyword(s):  
Absorption Spectrum ◽  
Excited States ◽  
Lower Energy ◽  
Optically Active ◽  
Oscillator Strengths ◽  
Molecular Vibration ◽  
Selection Rules ◽  
Simultaneous Excitation ◽  
Typical Appearance ◽  
Upper Level

In the following we shall be concerned with a part of the optically active behaviour of the chromophore. With N being the nitrogen atom of ammonia this chromophore is, of course, optically inactive. Its absorption spectrum consists of two bands in the visible which e. g. for M = Co(III) are attributed to transitions from a ground state, 1 A 1 g , to excited states, 1 T 1 g , and 1 T 2 g . ϵ amounts to between 50 and 100 corresponding to oscillator strengths of ca . 10 -3 formal electron in spite of the fact that the tran­sitions are electronically forbidden. This intensity is, I believe, not too well under­stood in detail but is generally ascribed to the simultaneous excitation of suitable molecular vibration (Moffitt 1956). The transition at lower energy ( 1 A 1 g → 1 T 1 g is magnetically allowed, whereas the 1 A 1 g → 1 T 2 g transition at higher energy is magnetically forbidden (Moffitt 1956). The typical appearance of the absorption spectrum is shown in figure 1. (Similar selection rules apply to Cr(III) and Rh(III).) If the nitrogen atoms are connected in pairs as in a tris-(diamine) chelate the symmetry elements of the second order disappear and the chromophore becomes optically active. The upper level of each of the transitions mentioned splits under the trigonal field into a doubly degenerate E and a non-degenerate A level, but the splitting is quite small, and I think it is only fair to say that in general we know neither its magnitude nor its sign, although the beautiful crystal circular dichroism measurements by Professor Mason and his co-workers (Ballard, McCaffery & Mason 1962; McCaffery & Mason 1963) seem to show that for the tris-(ethylene-diamine) cobalt (III) ion the sign of the splitting is as indicated in figure 1. In ac­cordance with the smallness of the splitting its spectral effects are quite small, and the selection rules remain almost intact as shown by the fact that the intensity of the absorption increases by less than 100% when ammonia is replaced by a chelating diamine.

SYMMETRY AND ELECTRO-OPTICAL PROPERTIES OF NANOTUBES

2002 ◽  
Vol 01 (03n04) ◽  
pp. 313-325 ◽  
Author(s):  
M. DAMNJANOVIĆ ◽  
I. MILOŠEVIĆ ◽  
T. VUKOVIĆ ◽  
B. NIKOLIĆ ◽  
E. DOBARDŽIĆ
Keyword(s):  
Carbon Nanotubes ◽  
Optical Properties ◽  
Density Functional ◽  
Tight Binding ◽  
Optical Characteristics ◽  
Optical Transitions ◽  
Matrix Elements ◽  
Selection Rules ◽  
Single Wall Carbon ◽  
Quantum Numbers

The symmetry of single-wall carbon and inorganic tubes is reviewed. For the carbon nanotubes it is used to get the full set of quantum numbers, in the efficient precision (combined density functional and tight-binding methods) calculation of electronic bands and their complete assignation, to obtain the selection rules for optical transitions and the momenta matrix elements for the Bloch eigen-states. The optical characteristics are thoroughly found, and discussed.

scholarly journals Erratum: Dipole selection rules for optical transitions in the fcc and bcc lattices

1981 ◽  
Vol 23 (10) ◽  
pp. 5650-5650 ◽  
Author(s):  
W. Eberhardt ◽  
F. J. Himpsel
Keyword(s):  
Optical Transitions ◽  
Selection Rules
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