Oscillator strengths for transitions to high-lying excited states of carbon

2002 ◽  
Vol 35 (22) ◽  
pp. 4669-4683 ◽  
Author(s):  
Oleg Zatsarinny ◽  
Charlotte Froese Fischer
2009 ◽  
Author(s):  
Magda A. Rahim ◽  
Beverly Karplus Hartline ◽  
Renee K. Horton ◽  
Catherine M. Kaicher

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.


2014 ◽  
Vol 18 (06) ◽  
pp. 475-492 ◽  
Author(s):  
Neha Agnihotri ◽  
Ronald P. Steer

The molecular orbital energies and symmetries, electronic state energies and symmetries, and orbital compositions and oscillator strengths for one-photon radiative transitions up to an energy of 4 eV have been calculated by DFT and TD-DFT methods for 15 d0 and d10 metalloporphyrins. Data for both singlet and triplet excited states are reported and used to identify potential candidates for use as photon upconverters by homomolecular triplet–triplet annihilation.


2003 ◽  
Vol 81 (12) ◽  
pp. 1419-1425 ◽  
Author(s):  
X -L Wu ◽  
B -C Gou ◽  
F Wang

Energies and fine-structure corrections for the doubly excited 3Pe and 3De states of the helium atom are calculated using the Rayleigh–Ritz variational method and the saddle-point variational method with a multiconfiguration-interaction function. The relativistic and mass polarization corrections are included. The oscillator strengths, transition rates, and wavelengths are also calculated. The doubly excited states are grouped into Rydberg series labeled by the quantum numbers K, T, and A to display the systematic regularity along the series. The results are compared with the theoretical and experimental data in the literature. PACS Nos.: 31.15.Pf, 31.25.Jf, 32.70.Cs


1983 ◽  
Vol 36 (5) ◽  
pp. 659
Author(s):  
PS Ganas ◽  
M Aryafar ◽  
LP Gately

A realistic analytical central potential with two adjustable parameters is used to generate wavefunctions for the ground and excited states of doubly ionized boron. Generalized oscillator strengths and integrated cross sections from threshold up to 5 keY are calculated in the Born approximation for 2s-ns, 2s-np and 2s-nd excitations. Convenient analytic formulae for the cross sections are presented.


2019 ◽  
Vol 74 (9) ◽  
pp. 743-749
Author(s):  
Kai Kai Li ◽  
Lin Zhuo ◽  
Yan Sun ◽  
Bing Cong Gou

AbstractBy systematic Rayleigh–Ritz variation calculations, the energies are reported for the core-excited states 1s2s2p2 5P and 1s2p3 5So in the Be-like isoelectronic sequence (Z = 11–20). Energy corrections, including the restricted variational method, mass polarisation, and relativistic effect, are considered to improve the accuracy of energy. The oscillator strengths and transition wavelength between these states are also reported. Computational data on hyperfine structures presented in this paper are calculated for the first time.


2016 ◽  
Vol 94 (9) ◽  
pp. 803-807
Author(s):  
Angyang Yu

The ground state and low-lying excited states of the CCCN radical and its ions have been investigated systematically using the complete active space self-consistent field (CASSCF) and multi-configuration second-order perturbation theory (CASPT2) methods in conjunction with the ANO-RCC-TZP basis set. The calculated results show that the state 12Σ+ has the lowest CASPT2 energy among the electronic states. By means of the geometric optimization of this radical, it could be found that the molecule exhibits linear structure, with the bond lengths R1 = 1.214 Å, R2 = 1.363 Å, R3 = 1.162 Å, which are very close to the experimental values. The calculated vertical excitation energies and the corresponding oscillator strengths show that there are three relatively strong peaks at energies 0.63, 4.04, and 5.49 eV, which correspond to the transitions 12Σ+ → 12Π, 12Σ+ → 22Π, and 12Σ+ → 22Σ+, respectively. Additionally, the electronic configuration and the harmonic vibration frequencies of each state are also investigated.


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