On the Analysis of Collision Strengths and Rate Coefficients

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Excitation Rate Coefficient, Positive Ions Spectroscopy, Corona, Data Compaction

Scientific paper

This paper presents a new way of critically assessing and compacting data for electron impact excitation of positive ions. Collision strengths Ω are scaled and then plotted as functions of the colliding electron energy, the complete range of energies being mapped onto the interval (0, 1). The scaled Ω can then be represented to good accuracy by a 5-point spline. Similar scaling and spline fitting techniques enable thermally averaged collision strengths Y to be obtained at all temperatures. Whole isoelectronic sequences may then be treated by mapping the ion charge onto (0, 1) and using a second 5-point spline; thus reducing Y, for the whole sequence and all temperatures, to a 5 × 5 array. Three main types of transition (optically allowed, forbidden and exchange) are discussed separately and illustrated by numerical examples. Interactive programs for analysing atomic data in this way have been developed.

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