6533b7dbfe1ef96bd12713d0

RESEARCH PRODUCT

Improved Algorithms for the Modeling of Vibrational Polyads of Polyatomic Molecules: Application toT,O, andC3Molecules

Jean-paul ChampionAndrei NikitinVl.g. Tyuterev

subject

PhysicsCouplingAnnihilationDiagonalPolyatomic ionBasis functionRotational–vibrational spectroscopyAtomic and Molecular Physics and OpticsMatrix (mathematics)MoleculePhysics::Chemical PhysicsPhysical and Theoretical ChemistryAlgorithmSpectroscopy

description

Abstract Improved algorithms for the construction of rovibrational operators of polyatomic molecules are presented. Vibrationally diagonal and off-diagonal terms are obtained by a specific coupling scheme of creation and annihilation elementary operators. Recursive procedures are used to generate all possible terms and associated basis functions as well as to calculate matrix elements and commutators. Explicit formulations are given forTd,Oh, andC3vmolecules.

https://doi.org/10.1006/jmsp.1996.7185