The Valence-Bond (VB) Model and Its Intimate Relationship to the Symmetric or Permutation Group
Abstract
:1. Introduction
2. The VB Model and the Symmetric Group
total wave function spatial part spin part
- (a)
- The total wave function must be a product of a spatial and a spin part;
- (b)
- Both the spatial and spin parts must independently exhibit permutation symmetry, i.e., must transform like the irreducible representations of the symmetric (SN) group;
- (c)
- The total wave function must be anti-symmetric.
χ1 = (αβ − βα) (αβ − βα)
χ2 = 2ααββ + 2ββαα − (αβ + αβ) (αβ + βα).
3. Results and Discussion
3.1. Molecular Structure and Chemical Structure
3.2. The Nature of the Chemical Bond. Quantum Interference
4. Conclusions
Funding
Acknowledgments
Conflicts of Interest
References
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Nascimento, M.A.C. The Valence-Bond (VB) Model and Its Intimate Relationship to the Symmetric or Permutation Group. Molecules 2021, 26, 4524. https://doi.org/10.3390/molecules26154524
Nascimento MAC. The Valence-Bond (VB) Model and Its Intimate Relationship to the Symmetric or Permutation Group. Molecules. 2021; 26(15):4524. https://doi.org/10.3390/molecules26154524
Chicago/Turabian StyleNascimento, Marco Antonio Chaer. 2021. "The Valence-Bond (VB) Model and Its Intimate Relationship to the Symmetric or Permutation Group" Molecules 26, no. 15: 4524. https://doi.org/10.3390/molecules26154524