Calculation of the Dependence of Emitted Light on Charge Density for Two-Electron Collisional-Radiative Recombination in the Hydrogenic Approximation

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Abstract
The relationship expected between excited-state populations resulting from two-electron collisional-radiative recombination and the free-electron density has been examined with the objective of determining relative orders of dependence. It was found that the behavior of excited-state populations divided them into three groups on the basis of principal quantum number. The members of the lowest group of quantum numbers were found to have a dependence of population on charge density proportional to the product of the recombination rate coefficient and the square of the electron density. The members of the highest group of quantum numbers were found to have a second-order dependence on electron density. The intermediate group showed a dependence which itself was strongly electron-density-dependent and which ranged from second- to greater than third-order dependence on charge density.

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