Remarks on atomic partition functions - The example of tin

Mathematics

Scientific paper

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Atomic Spectra, Partitions (Mathematics), Plasma Spectra, Tin, Atomic Energy Levels, Functions (Mathematics), Ionization, Tables (Data)

Scientific paper

Problems concerning calculations of the atomic-partition function U for elements of complex internal structure (e.g., elements of the iron group) are discussed. A program is formulated in detail to take into account every energy level realizable under given physical conditions, including the levels lying above the normal ionization energy. It is found, with the example of tin, that the contribution of these highly excited levels to the U-levels is substantial under a wide range of physical conditions. The present numerical values of the partition functions for Sn I, Sn II, and Sn III differ considerably from those obtained by use of approximations given by other authors. The U-values recommended are given over the temperature range from 2000 to 40,000 K for a lowering of ionization energy ranging from 0.05 to 2.00 eV.

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