Perturbation theory Z expansion for many-electron autoionisation states of atomic system. II. Autoionisation rates and radiative transition probabilities

1980 ◽  
Vol 13 (5) ◽  
pp. 869-880 ◽  
Author(s):  
U I Safronova ◽  
A M Urnov
Keyword(s):  
Perturbation Theory ◽  
Transition Probabilities ◽  
Atomic System ◽  
Radiative Transition ◽  
Theory Z

Infra-red chemiluminescence II. Spectroscopic data

1960 ◽  
Vol 258 (1295) ◽  
pp. 564-575 ◽  
Keyword(s):  
Transition Probabilities ◽  
Molecular Spectroscopy ◽  
Radiative Transition ◽  
Absorption Data ◽  
A Value ◽  
Interaction Factor ◽  
Infra Red ◽  
Rotational Distribution ◽  
Vibration Rotation ◽  
First Time

The technique described in part I has been used to obtain constants of interest in molecular spectroscopy. The vibration-rotation interaction factor, F for HCl has been evaluated from the infra-red emission spectrum. The critical parameter in F is θ = M 0 / M 1 r e , where M 0 and M 1 are the first two coefficients in the electric dipole moment expansion about the equilibrium internuclear distance r e . A value of θ = + 1.12 ± 0.18 has been obtained. It is shown that for molecules with θ = +1 the total band intensity in emission is independent of the rotational distribution in the vibrational state from which the emission occurs. This has been made use of in evaluating radiative transition probabilities. For the HCl v (3-1) transition a value for | R 3 1 | 2 (= 1.60 x 10 -4 debye 2 ) was obtained for the first time. The same method yields a value of | R 2 1 | 2 / | R 2 0 | 2 = 204, in good agreement with an earlier estimate from absorption data.

Perturbation theory and finite Markov chains

1968 ◽  
Vol 5 (2) ◽  
pp. 401-413 ◽  
Author(s):  
Paul J. Schweitzer
Keyword(s):  
Perturbation Theory ◽  
Markov Chain ◽  
Markov Chains ◽  
Stationary Distribution ◽  
Fundamental Matrix ◽  
Transition Probabilities ◽  
Semi Group ◽  
Partial Derivatives ◽  
Finite Markov Chains ◽  
Derivatives Of

A perturbation formalism is presented which shows how the stationary distribution and fundamental matrix of a Markov chain containing a single irreducible set of states change as the transition probabilities vary. Expressions are given for the partial derivatives of the stationary distribution and fundamental matrix with respect to the transition probabilities. Semi-group properties of the generators of transformations from one Markov chain to another are investigated. It is shown that a perturbation formalism exists in the multiple subchain case if and only if the change in the transition probabilities does not alter the number of, or intermix the various subchains. The formalism is presented when this condition is satisfied.

scholarly journals Theoretical research on radiative transition probabilities of 2p4f—2p3d for NⅡ

2007 ◽  
Vol 56 (10) ◽  
pp. 5715
Author(s):  
Shen Xiao-Zhi ◽  
Yuan Ping ◽  
Li Ji-Guang ◽  
Dong Chen-Zhong ◽  
Xie Lu-You ◽  
...  
Keyword(s):  
Transition Probabilities ◽  
Radiative Transition ◽  
Theoretical Research

An Investigation on the Fine Structure Levels in the Ground State Configuration for the Antimony Anion

2014 ◽  
Vol 69 (8-9) ◽  
pp. 397-402
Author(s):  
Leyla Özdemir ◽  
Sadiye Tuna
Keyword(s):  
Fine Structure ◽  
Ground State ◽  
Transition Probabilities ◽  
Relativistic Effects ◽  
Electric Quadrupole ◽  
Radiative Transition ◽  
Ground State Configuration ◽  
Hartree Fock ◽  
First Time ◽  
State Configuration

We have investigated the correlation, relativistic, and isotope shift effects on the fine structure levels in the ground state configuration for the antimony anion ( Sb-). Energies and radiative transition probabilities (for magnetic dipole, M1, and electric quadrupole, E2) have been obtained using the multiconfiguration Hartree-Fock method within the framework of the Breit-Pauli Hamiltonian. Therefore, the most important configuration interaction and relativistic effects have been included. Comparisons with other available works are presented. For some M1 and E2 lines the considered transition probabilities are reported for the first time

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