Abstract
It is proved that if the wave function of a given electronic state changes sign when transported adiabatically round a loop in nuclear configuration space, then the state must become degenerate with another one at some point within the loop. I t is further shown that this condition is satisfied by certain unsymmetrical triatomic systems, thereby disposing of a recent claim that the non-crossing rule for diatomic molecules applies also to polyatomic molecules.
Keywords
Polyatomic ionDiatomic moleculeDegenerate energy levelsTriatomic moleculeWave functionIntersection (aeronautics)Potential energyPhysicsMoleculePoint (geometry)Atomic physicsQuantum mechanicsMathematicsEngineeringAerospace engineeringGeometry
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Publication Info
- Year
- 1975
- Type
- article
- Volume
- 344
- Issue
- 1637
- Pages
- 147-156
- Citations
- 507
- Access
- Closed
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Cite This
Hugh Christopher Longuet-Higgins
(1975).
The intersection of potential energy surfaces in polyatomic molecules.
Proceedings of the Royal Society of London A Mathematical and Physical Sciences
, 344
(1637)
, 147-156.
https://doi.org/10.1098/rspa.1975.0095
Identifiers
- DOI
- 10.1098/rspa.1975.0095