Dipole oscillator strength distributions with improved high-energy behavior: Dipole sum rules and dispersion coefficients for Ne, Ar, Kr, and Xe revisited

2010 ◽  
Vol 132 (7) ◽  
pp. 074301 ◽  
Author(s):  
Ashok Kumar ◽  
Ajit J. Thakkar
Keyword(s):  
Oscillator Strength ◽  
Sum Rules ◽  
High Energy ◽  
Dispersion Coefficients ◽  
High Energy Behavior ◽  
Energy Behavior ◽  
Dipole Oscillator ◽  
Strength Distributions

Construction of Constrained Dipole Oscillator Strength Distributions

2016 ◽  
Vol 230 (5-7) ◽  
Author(s):  
Ajit J. Thakkar
Keyword(s):  
Oscillator Strength ◽  
Cross Sections ◽  
High Energy ◽  
Strength Distribution ◽  
Sum Rule ◽  
Molar Refractivity ◽  
High Energy Behavior ◽  
Energy Behavior ◽  
Sample Application ◽  
Dipole Oscillator

AbstractA brief review is given of how a constrained dipole oscillator strength distribution (DOSD) is constructed from experimental and possibly theoretical photoabsorption cross-sections with constraints provided by molar refractivity data and the Kuhn–Reiche–Thomas sum rule. Some recent refinements including the imposition of the correct high-energy behavior on the DOSD for homoatomic molecules are discussed and extended to the general molecular case. A sample application to pyridine is given.

Dipole oscillator strength distributions, sums, and some related properties for Li, N, O, H2, N2, O2, NH3, H2O, NO, and N2O

1977 ◽  
Vol 55 (23) ◽  
pp. 2080-2100 ◽  
Author(s):  
G. D. Zeiss ◽  
William J. Meath ◽  
J. C. F. MacDonald ◽  
D. J. Dawson
Keyword(s):  
Oscillator Strength ◽  
Cross Sections ◽  
High Energy ◽  
High Energy Electron ◽  
Sum Rule ◽  
Dipole Oscillator ◽  
Scattering Cross Sections ◽  
Additional Constraints ◽  
Dipole Sums ◽  
Strength Distributions

Dipole oscillator strength distributions (DOSDs) have been constructed for ground state Li, N, O, H2, N2, O2, NH3, H2O, NO, and N2O by using experimental and theoretical photoabsoiption and high energy electron inelastic scattering cross sections. Each DOSD is required to satisfy the Thomas–Reiche–Kuhn sum rule and additional constraints derived from available accurate experimental refractivity and dispersion measurements. The DOSDs, the data and procedure used to construct the DOSDs, and the values of the dipole oscillator strength sums Sk and Lk (for a variety of k values) and related atomic and molecular properties obtained from the DOSDs are reported. The discussion includes comments regarding the importance of the constraints imposed on the DOSD with respect to the evaluation of various dipole sums and properties and the accuracy of the results.

Sum rules and high-energy behavior

1969 ◽  
Vol 60 (4) ◽  
pp. 663-668 ◽  
Author(s):  
M. O. Taha
Keyword(s):  
Sum Rules ◽  
High Energy ◽  
High Energy Behavior ◽  
Energy Behavior

scholarly journals High-energy behavior of Mellin amplitudes

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
Matthew Dodelson ◽  
Hirosi Ooguri
Keyword(s):  
High Energy ◽  
High Energy Behavior ◽  
Energy Behavior

Dipole oscillator strength distributions and properties for SO2, CS2, and OCS

1985 ◽  
Vol 63 (3) ◽  
pp. 417-427 ◽  
Author(s):  
Ashok Kumar ◽  
William J. Meath
Keyword(s):  
Oscillator Strength ◽  
Cross Sections ◽  
Ground State ◽  
Strength Properties ◽  
Oscillator Strengths ◽  
Sum Rule ◽  
Strength Data ◽  
Dilute Gases ◽  
Dipole Oscillator ◽  
Strength Distributions

Dipole oscillator strength distributions have been constructed and used to evaluate integrated oscillator strengths, and a variety of dipole oscillator strength properties, for ground state SO2, CS2, and OCS. Each distribution has been constructed by using experimental and theoretical photoabsorption cross sections and by subjecting the resulting dipole oscillator strength data to constraints provided by the Thomas–Reiche–Kuhn sum rule and molar refractivity data for the relevant dilute gases. The discussion includes graphical presentations of how various spectral regions of the dipole oscillator strength distributions contribute to the more important dipole properties.

Low-Energy Theorems and High-Energy Behavior

1972 ◽  
Vol 6 (9) ◽  
pp. 2483-2487
Author(s):  
Michael Creutz
Keyword(s):  
High Energy ◽  
Low Energy ◽  
High Energy Behavior ◽  
Energy Behavior
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