Theoretically based closed form formulas for the collision operator for isolated ion lines in the standard Stark-broadening theory

Mathematics

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Collision Parameters, Collisional Plasmas, Ions, Line Spectra, Stark Effect, Approximation, Errors, Mathematical Models, Spectrum Analysis

Scientific paper

In this work we obtain closed form expressions for the collision operator for Stark broadening of isolated ion lines in the semiclassical (dipole) impact approximation and for a Maxwellian electron velocity distribution. These expressions are simple inn that no integrations are involved, exact within the stated approximations, and apply equally to hot and cold plasmas as long as the above approximations are satisfied. These formulas give widths with good accuracy, together with an estimate of the theoretical error. Therefore, they can be used for fast data analysis and also for the calculation of a large number of lines, as, for example, in opacity calculations. In addition, the behavior of the collision operator as a function of the energy separation of the perturbing levels, the temperature, and the cutoffs becomes more transparent.

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