Communication: Three-electron coalescence points in two and three dimensions
Journal Article
·
· Journal of Chemical Physics
- Research School of Chemistry, Australian National University, Canberra ACT 2601 (Australia)
The form of the wave function at three-electron coalescence points is examined for several spin states using an alternative method to the usual Fock expansion. We find that, in two- and three-dimensional systems, the non-analytical nature of the wave function is characterized by the appearance of logarithmic terms, reminiscent of those that appear as both electrons approach the nucleus of the helium atom. The explicit form of these singularities is given in terms of the interelectronic distances for a doublet and two quartet states of three electrons in a harmonic well.
- OSTI ID:
- 22493204
- Journal Information:
- Journal of Chemical Physics, Vol. 143, Issue 18; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9606
- Country of Publication:
- United States
- Language:
- English
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