Asymptotic behavior of two-electron expectation values in two-electron excited states |
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Authors: | HE Montgomery Jacob Katriel KD Sen |
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Institution: | 1. Chemistry Program, Centre College, Danville, KY 40422, USA;2. Department of Chemistry, Technion - Israel Institute of Technology, Haifa, 32000, Israel;3. School of Chemistry, University of Hyderabad, Hyderabad-500 046, India |
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Abstract: | Singly-excited states of the two-electron atom cease being bound when (from above), the outer orbital becoming infinitely diffuse. The asymptotic relations where , are demonstrated to hold. Here, is a hydrogenic s orbital with principal quantum number . New, more nuanced light is shed on the already challenged dogma that the Pauli principle keeps the electrons further apart in the triplet than in the corresponding singlet. |
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Keywords: | Corresponding author Two-electron atom Two-electron expectation values Critical charge Asymptotic wave function |
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