A theoretical study of the 21Ag ← 11Ag two-photon transition and its vibronic band in trans-stilbene

Jonna Stålring; Laura Gagliardi; Per Åke Malmqvist; Roland Lindh

doi:10.1080/00268970110112327

A theoretical study of the 2¹A_g ← 1¹A_g two-photon transition and its vibronic band in trans-stilbene

Jonna Stålring
, Laura Gagliardi
, Per Åke Malmqvist
, Roland Lindh

Chemistry (Twin Cities)

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The two-photon spectrum of the 2¹ A_g ← 1¹A_g transition in trans-stilbene has been calculated at the complete active space self-consistent field (CASSCF) level of theory. Energies were obtained at the complete active space second-order perturbation (CASPT2) level of theory, while the geometries of both the initial and final states were optimized at the CASSCF level. The energy and the geometry optimizations were performed using an active space of 14 electrons in 14 active π orbitals. The vibrational frequencies of both states and the two-photon transition (TPT) cross-section were calculated with a smaller active space where the two lowest π orbitals were kept inactive. A newly implemented algorithm, in the quantum chemical package Molcas was used to determine the two-photon transition intensity. This method requires only the linear response of the CASSCF wavefunction. Furthermore, the vibronic structure of this TPT was studied. The Franck-Condon factors were obtained by calculating the overlap between the vibrational states involved, which were determined from the force fields of both the initiaL and final states, at the CASSCF level of theory. The results are in agreement with experiment.

Original language	English (US)
Pages (from-to)	1791-1796
Number of pages	6
Journal	Molecular Physics
Volume	100
Issue number	11
DOIs	https://doi.org/10.1080/00268970110112327
State	Published - Jun 10 2002

Bibliographical note

Funding Information:
This work was supported by Minister0 dell'universi-taae della Ricerca Scientifica (L.G) and by the Swedish Research Council (P.A.M., J.S. and R.L.). The authors thank Professor Giorgio Orlandi, University of Bologna, and Dr Vicent Molina and Professor Bjorn 0. Roos, Lund University, for very helpful discussions.

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10.1080/00268970110112327

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title = "A theoretical study of the 21Ag ← 11Ag two-photon transition and its vibronic band in trans-stilbene",

abstract = "The two-photon spectrum of the 21 Ag ← 11Ag transition in trans-stilbene has been calculated at the complete active space self-consistent field (CASSCF) level of theory. Energies were obtained at the complete active space second-order perturbation (CASPT2) level of theory, while the geometries of both the initial and final states were optimized at the CASSCF level. The energy and the geometry optimizations were performed using an active space of 14 electrons in 14 active π orbitals. The vibrational frequencies of both states and the two-photon transition (TPT) cross-section were calculated with a smaller active space where the two lowest π orbitals were kept inactive. A newly implemented algorithm, in the quantum chemical package Molcas was used to determine the two-photon transition intensity. This method requires only the linear response of the CASSCF wavefunction. Furthermore, the vibronic structure of this TPT was studied. The Franck-Condon factors were obtained by calculating the overlap between the vibrational states involved, which were determined from the force fields of both the initiaL and final states, at the CASSCF level of theory. The results are in agreement with experiment.",

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note = "Funding Information: This work was supported by Minister0 dell'universi-taae della Ricerca Scientifica (L.G) and by the Swedish Research Council (P.A.M., J.S. and R.L.). The authors thank Professor Giorgio Orlandi, University of Bologna, and Dr Vicent Molina and Professor Bjorn 0. Roos, Lund University, for very helpful discussions.",

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AU - Gagliardi, Laura

AU - Malmqvist, Per Åke

AU - Lindh, Roland

N1 - Funding Information: This work was supported by Minister0 dell'universi-taae della Ricerca Scientifica (L.G) and by the Swedish Research Council (P.A.M., J.S. and R.L.). The authors thank Professor Giorgio Orlandi, University of Bologna, and Dr Vicent Molina and Professor Bjorn 0. Roos, Lund University, for very helpful discussions.

PY - 2002/6/10

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N2 - The two-photon spectrum of the 21 Ag ← 11Ag transition in trans-stilbene has been calculated at the complete active space self-consistent field (CASSCF) level of theory. Energies were obtained at the complete active space second-order perturbation (CASPT2) level of theory, while the geometries of both the initial and final states were optimized at the CASSCF level. The energy and the geometry optimizations were performed using an active space of 14 electrons in 14 active π orbitals. The vibrational frequencies of both states and the two-photon transition (TPT) cross-section were calculated with a smaller active space where the two lowest π orbitals were kept inactive. A newly implemented algorithm, in the quantum chemical package Molcas was used to determine the two-photon transition intensity. This method requires only the linear response of the CASSCF wavefunction. Furthermore, the vibronic structure of this TPT was studied. The Franck-Condon factors were obtained by calculating the overlap between the vibrational states involved, which were determined from the force fields of both the initiaL and final states, at the CASSCF level of theory. The results are in agreement with experiment.

AB - The two-photon spectrum of the 21 Ag ← 11Ag transition in trans-stilbene has been calculated at the complete active space self-consistent field (CASSCF) level of theory. Energies were obtained at the complete active space second-order perturbation (CASPT2) level of theory, while the geometries of both the initial and final states were optimized at the CASSCF level. The energy and the geometry optimizations were performed using an active space of 14 electrons in 14 active π orbitals. The vibrational frequencies of both states and the two-photon transition (TPT) cross-section were calculated with a smaller active space where the two lowest π orbitals were kept inactive. A newly implemented algorithm, in the quantum chemical package Molcas was used to determine the two-photon transition intensity. This method requires only the linear response of the CASSCF wavefunction. Furthermore, the vibronic structure of this TPT was studied. The Franck-Condon factors were obtained by calculating the overlap between the vibrational states involved, which were determined from the force fields of both the initiaL and final states, at the CASSCF level of theory. The results are in agreement with experiment.

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