Bounds on mean excitation energies in terms of oscillator-strength moments
- 1 June 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 23 (6) , 2914-2925
- https://doi.org/10.1103/physreva.23.2914
Abstract
The logarithmic mean excitation energies that determine, for fast charged particles, the total inelastic-scattering cross section, the stopping power, and the straggling are bounded from above and below by simple expressions involving moments of the oscillator-strength distribution. A general condition under which the set of elementary inequalities gives tight bounds is indicated, and is illustrated in several examples. Effective oscillator-strength distributions that are constructed on the basis of variational principles lead to tighter bounds in terms of some of the moments and the oscillator strenths for some discrete excitations.Keywords
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