6533b821fe1ef96bd127c43c

RESEARCH PRODUCT

Symmetry-adapted tensorial formalism to model rovibrational and rovibronic spectra of molecules pertaining to various point groups

M. ReyVincent BoudonMaud RotgerG. PierreJean-paul ChampionCh. WengerMichel LoeteTony GabardF. Michelot

subject

[ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]Rovibrational spectroscopyRovibronic spectroscopySymmetrizationTensorial formalism02 engineering and technologyMolecular spectroscopyPoint group01 natural sciencesSpectral lineTheoretical physics[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]Quantum mechanics0103 physical sciencesPhysics::Atomic and Molecular ClustersMoleculeLineshapesPhysical and Theoretical ChemistrySpectroscopySpectroscopyPhysics010304 chemical physicsDegenerate energy levelsRotational–vibrational spectroscopy021001 nanoscience & nanotechnologyAtomic and Molecular Physics and OpticsFormalism (philosophy of mathematics)Group theory0210 nano-technology

description

International audience; We present a short review on the tensorial formalism developed by the Dijon group to solve molecular spectroscopy problems. This approach, originally devoted to the rovibrational spectroscopy of highly symmetrical species (spherical tops) has been recently extended in several directions: quasi-spherical tops, some symmetric and asymmetric tops, and rovibronic spectroscopy of spherical tops in a degenerate electronic state. Despite its apparent complexity (heavy notations, quite complex mathematical tools), these group theoretical tensorial methods have a great advantage of flexibility: a systematic expansion of effective terms for any rovib- rational/rovibronic problem up to a given order is automatically generated. Inclusion of all possible interaction terms for any polyad scheme is therefore easy. This makes such an approach suitable for many types of molecular problems, not only the most symmetric ones.

10.1016/j.jms.2004.02.022https://hal.archives-ouvertes.fr/hal-01053547