Abstract
An exact reduced limiting expression for the generalized radial distribution functionD n (r) is derived and compared with quantum distributions for various degrees of excitation. It represents the quantum result at large quantum numbers significantly better than a prior empirical representation of the universal reduced distribution and gives a somewhat larger electronic partition function for the hydrogen atom than that based on the previous distribution.
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Bartell, L.S. On the limiting radial distribution function for hydrogenic orbitals. J Math Chem 19, 401–403 (1996). https://doi.org/10.1007/BF01166729
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DOI: https://doi.org/10.1007/BF01166729