General formalism of vibronic Hamiltonians for tetrahedral and octahedral systems: Problems that involve A-type states and a-type vibrations

[Display omitted] In this work, we derive expansion formulas up to arbitrary order in vibrational coordinates for the tetrahedral and octahedral vibronic Hamiltonians that involve A-type states and a-type vibrations. The root-branch approach and modularized approach enable us to derive vibronic Hami...

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Bibliographic Details
Published in:Chemical physics 2018-11, Vol.515, p.36-45
Main Authors: Lang, Robert A., Japahuge, Achini, Zeng, Tao
Format: Article
Language:English
Subjects:
Hamiltonian formalism
Jahn-Teller
Octahedral
Pseudo-Jahn-Teller
Tetrahedral
Vibronic coupling
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Summary:[Display omitted] In this work, we derive expansion formulas up to arbitrary order in vibrational coordinates for the tetrahedral and octahedral vibronic Hamiltonians that involve A-type states and a-type vibrations. The root-branch approach and modularized approach enable us to derive vibronic Hamiltonians including up to two vibrational modes for 5 problems in T symmetry and 92 problems in Td symmetry within one paper. These formulas can be easily adapted to problems of Th,O, and Oh symmetries. Finishing this work, we have derived general vibronic Hamiltonians for all unimodal and bimodal Jahn-Teller and pseudo-Jahn-Teller problems of cubic group systems. These bimodal formulas can be extended to cover problems that involve more than two modes.
ISSN:0301-0104
DOI:10.1016/j.chemphys.2018.08.028