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Chibueze CS, Visscher L. Restricted open-shell time-dependent density functional theory with perturbative spin-orbit coupling. J Chem Phys 2024; 161:094112. [PMID: 39234966 DOI: 10.1063/5.0226870] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/04/2024] [Accepted: 08/19/2024] [Indexed: 09/06/2024] Open
Abstract
When using quantum chemical methods to study electronically excited states of open-shell molecules, it is often beneficial to start with wave functions that are spin eigenfunctions. For excited states of molecules containing heavy elements, spin-orbit coupling (SOC) is important and needs to be included as well. An efficient approach is to include SOC perturbatively on top of a restricted open-shell Kohn-Sham (ROKS) time-dependent density functional theory, which can be combined with the Tamm-Dancoff approximation (TDA) to suppress numerical instabilities. We implemented and assessed the potential of such a ROKS-TDA-SOC method, also featuring the possibility of calculating transition dipole moments between states to allow for full spectrum simulation. Our study shows that the ROKS-TDA-SOC formalism yields a clear and easy-to-use method to obtain electronically excited states of open-shell molecules that are of moderate size and contain heavy elements.
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Affiliation(s)
- Chima S Chibueze
- Department of Chemistry and Pharmaceutical Sciences, Vrije Universiteit, De Boelelaan 1108, 1081 HZ Amsterdam, The Netherlands
| | - Lucas Visscher
- Department of Chemistry and Pharmaceutical Sciences, Vrije Universiteit, De Boelelaan 1108, 1081 HZ Amsterdam, The Netherlands
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Sharma K, Miller TA, Stanton JF. Vibronically coupled states: computational considerations and characterisation of vibronic and rovibronic spectroscopic parameters. INT REV PHYS CHEM 2021. [DOI: 10.1080/0144235x.2021.1874118] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Ketan Sharma
- Department of Chemistry and Biochemistry, The Ohio State University, Columbus, OH, USA
| | - Terry A. Miller
- Department of Chemistry and Biochemistry, The Ohio State University, Columbus, OH, USA
| | - John F. Stanton
- Department of Chemistry, University of Florida, Gainesville, FL, USA
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Duncan MA. Infrared spectroscopy to probe structure and dynamics in metal ion-molecule complexes. INT REV PHYS CHEM 2010. [DOI: 10.1080/0144235031000095201] [Citation(s) in RCA: 280] [Impact Index Per Article: 20.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Michael A. Duncan
- a Department of Chemistry , University of Georgia , Athens , GA , 30602-2556 , USA
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Lee M, Bae YJ, Kim MS. K selection in one-photon mass-analyzed threshold ionization of CH3I and CD3I to the X2E3/2 state cations. J Chem Phys 2008; 128:044310. [PMID: 18247952 DOI: 10.1063/1.2823032] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
One-photon mass-analyzed threshold ionization (MATI) spectra for the X (2)E(3/2) states of CH(3)I(+) and CD(3)I(+) were measured using vacuum ultraviolet radiation generated by four-wave mixing in Kr. Spin-orbit density functional theory calculations at the B3LYP/aug-cc-pVTZ level and spin-orbit/Jahn-Teller calculations were made to aid vibrational assignment. Each vibrational band consisted of several peaks due to different DeltaK transitions, which could be assigned by using molecular parameters determined in the previous high resolution photodissociation spectroscopic study. Possibility of generating mass-selected, vibronically selected and K-selected ion beam with decent intensity by one-photon MATI was demonstrated. The ionization energies to the X (2)E(3/2) states of CH(3)I(+) and CD(3)I(+) corrected for the rotational contribution were 9.5386+/-0.0006 and 9.5415+/-0.0006 eV, respectively.
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Affiliation(s)
- Mina Lee
- Department of Chemistry, Seoul National University, Seoul 151-742, Korea
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Sheridan PM, Dick MJ, Wang JG, Bernath PF. High-Resolution Spectroscopic Investigation of the B̃2A1−X̃2A1 Transitions of CaCH3 and SrCH3. J Phys Chem A 2005; 109:10547-53. [PMID: 16834310 DOI: 10.1021/jp054228q] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
High-resolution spectra of the ~B(2)A(1)-- ~X(2)A(1) transitions of CaCH(3) and SrCH(3) have been recorded in a molecular jet/laser ablation source using laser excitation spectroscopy. Transitions arising from the K = 0 and 1 sub-bands have been observed for both molecules. An analysis of the data using a (2)A(1) symmetric top Hamiltonian has determined rotational and spin-rotation constants for the ~B(2)A(1) state of each molecule. From the rotational constants, structures have been estimated for both CaCH(3) and SrCH(3). The spin-rotation constant, epsilon(bc) = (epsilon(bb) + epsilon(cc))/2, in the ~B(2)A(1) state for both molecules is in reasonable agreement with the value calculated using the pure precession approximation. For CaCH(3), the K' = 1 levels of the ~B(2)A(1) state exhibit a perturbation that interchanges the energy ordering of the spin-rotation components.
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Affiliation(s)
- P M Sheridan
- Departments of Chemistry and Physics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
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Brugh DJ, Dabell RS, Morse MD. Vibronic spectroscopy of unsaturated transition metal complexes: CrC[sub 2]H, CrCH[sub 3], and NiCH[sub 3]. J Chem Phys 2004; 121:12379-85. [PMID: 15606257 DOI: 10.1063/1.1821497] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Vibronically resolved resonant two-photon ionization and dispersed fluorescence spectra of the organometallic radicals CrC(2)H, CrCH(3), and NiCH(3) are reported in the visible and near-infrared wavelength regions. For CrC(2)H, a complicated vibronic spectrum is found in the 11 100-13 300 cm(-1) region, with a prominent vibrational progression having omega(e) (')=426.52+/-0.84 cm(-1), omega(e) (')x(e) (')=0.74+/-0.13 cm(-1). Dispersed fluorescence reveals a v(")=1 level of the ground state with DeltaG(1/2) (")=470+/-20 cm(-1). These vibrational frequencies undoubtedly pertain to the Cr-C(2)H stretching mode. It is suggested that the spectrum corresponds to the A (6)Sigma(+)<--X (6)Sigma(+) band system, with the CrC(2)H molecule being linear in both the ground and the excited state. The related CrCH(3) molecule displays a vibronic spectrum in the 11 500-14 000 cm(-1) region. The upper state of this system displays six sub-bands that are too closely spaced to be vibrational structure, but too widely separated to be K structure. It is suggested that the observed spectrum is a (6)E<--X (6)A(1) band system, analogous to the well-known B (6)Pi<--X (6)Sigma(+) band systems of CrF and CrCl. The ground state Cr-CH(3) vibration is characterized by omega(e) (")=525+/-17 cm(-1) and omega(e) (")x(e) (")=7.9+/-6 cm(-1). The spectrum of NiCH(3) lies in the 16 100-17 400 cm(-1) range and has omega(e) (')=455.3+/-0.1 cm(-1) and omega(e) (')x(e) (')=6.60+/-0.03 cm(-1). Dispersed fluorescence studies provide ground state vibrational constants of omega(e) (")=565.8+/-1.6 cm(-1) and omega(e) (")x(e) (")=1.7+/-3.0 cm(-1). Again, these values correspond to the Ni-CH(3) stretching motion. (c) 2004 American Institute of Physics.
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Affiliation(s)
- Dale J Brugh
- Department of Chemistry, University of Utah, Salt Lake City, Utah 84112, USA
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El Hammadi A, El Mouhtadi M, Cardy H, Dargelos A. An ab initio CI study of monomethyl calcium radical: CaCH3. ACTA ACUST UNITED AC 2003. [DOI: 10.1016/s0166-1280(02)00420-7] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Ellis AM. Main group metal‐ligand interactions in small molecules: New insights from laser spectroscopy. INT REV PHYS CHEM 2001. [DOI: 10.1080/01442350110062542] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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Tellinghuisen J. Direct-fitting approach to the analysis of high-resolution optical spectra: Monte Carlo and experimental studies of OH A(0)→X(0) spectra. J Chem Phys 2001. [DOI: 10.1063/1.1342226] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022] Open
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12
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Yang DS. 6 Zero electron kinetic energy photoelectron spectra of metal clusters and complexes. ACTA ACUST UNITED AC 2001. [DOI: 10.1016/s1075-1629(01)80008-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/07/2023]
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Dessent CE, Müller-Dethlefs K. Hydrogen-Bonding and van der Waals Complexes Studied by ZEKE and REMPI Spectroscopy. Chem Rev 2000; 100:3999-4022. [PMID: 11749337 DOI: 10.1021/cr990060r] [Citation(s) in RCA: 181] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- C E Dessent
- Department of Chemistry, University of York, Heslington, York, YO10 5DD, U.K
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McKinley AJ, Karakyriakos E. Neon Matrix Isolation Electron Spin Resonance and Theoretical Studies of the Various Isotopomers of the CH3Mg Radical. J Phys Chem A 2000. [DOI: 10.1021/jp001773c] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Allan J. McKinley
- Department of Chemistry, The University of Western Australia, Nedlands, Perth, Western Australia 6907
| | - Emmanuel Karakyriakos
- Department of Chemistry, The University of Western Australia, Nedlands, Perth, Western Australia 6907
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Pushkarsky MB, Vadim L. Stakhursky, and, Miller TA. Photoionization Spectroscopy of the Zinc Monoethyl Radical and Its Cation. J Phys Chem A 2000. [DOI: 10.1021/jp0021188] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Michael B. Pushkarsky
- Laser Spectroscopy Facility, Department of Chemistry, The Ohio State University, 120 W. 18th Avenue, Columbus, Ohio 43210
| | - Vadim L. Stakhursky, and
- Laser Spectroscopy Facility, Department of Chemistry, The Ohio State University, 120 W. 18th Avenue, Columbus, Ohio 43210
| | - Terry A. Miller
- Laser Spectroscopy Facility, Department of Chemistry, The Ohio State University, 120 W. 18th Avenue, Columbus, Ohio 43210
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Gilbert T, Fischer I, Chen P. Zero kinetic energy photoelectron spectra of the allyl radical, C3H5. J Chem Phys 2000. [DOI: 10.1063/1.481831] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Himmel HJ, Downs AJ, Greene TM, Andrews L. Matrix Photochemistry of Gallium and Indium Atoms (M) in the Presence of Methane: Formation and Characterization of the Divalent Species CH3MH and Univalent Species CH3M. Organometallics 2000. [DOI: 10.1021/om990905p] [Citation(s) in RCA: 45] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
Affiliation(s)
- Hans-Jörg Himmel
- Inorganic Chemistry Laboratory, University of Oxford, South Parks Road, Oxford OX1 3QR, U.K., and Department of Chemistry, University of Virginia, Charlottesville, Virginia 22901
| | - Anthony J. Downs
- Inorganic Chemistry Laboratory, University of Oxford, South Parks Road, Oxford OX1 3QR, U.K., and Department of Chemistry, University of Virginia, Charlottesville, Virginia 22901
| | - Tim M. Greene
- Inorganic Chemistry Laboratory, University of Oxford, South Parks Road, Oxford OX1 3QR, U.K., and Department of Chemistry, University of Virginia, Charlottesville, Virginia 22901
| | - Lester Andrews
- Inorganic Chemistry Laboratory, University of Oxford, South Parks Road, Oxford OX1 3QR, U.K., and Department of Chemistry, University of Virginia, Charlottesville, Virginia 22901
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McKinley AJ, Karakyriakos E, Knight, LB, Babb R, Williams A. Matrix-Isolation ESR Studies of the Various Isotopomers of the CH3Zn and ZnH Radicals: Comparisons with ab Initio Theoretical Calculations. J Phys Chem A 2000. [DOI: 10.1021/jp993358u] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
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Gilbert T, Pfab R, Fischer I, Chen P. The zero kinetic energy photoelectron spectrum of the propargyl radical, C3H3. J Chem Phys 2000. [DOI: 10.1063/1.480830] [Citation(s) in RCA: 54] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Barckholtz TA, Powers DE, Miller TA, Bursten BE. ZEKE Spectroscopy of the Organometallic Radicals MgCH3 and ZnCH3: Construction of a High-Resolution “Experimental” Molecular Orbital Diagram. J Am Chem Soc 1999. [DOI: 10.1021/ja9832461] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Timothy A. Barckholtz
- Contribution from the Department of Chemistry, The Ohio State University, Columbus, Ohio 43210
| | - David E. Powers
- Contribution from the Department of Chemistry, The Ohio State University, Columbus, Ohio 43210
| | - Terry A. Miller
- Contribution from the Department of Chemistry, The Ohio State University, Columbus, Ohio 43210
| | - Bruce E. Bursten
- Contribution from the Department of Chemistry, The Ohio State University, Columbus, Ohio 43210
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Karakyriakos E, Davis JR, Wilson CJ, Yates SA, McKinley AJ, Knight LB, Babb R, Tyler DJ. Neon and argon matrix ESR and theoretical studies of the 12CH3Cd, 12CD3Cd, 13CH3Cd, 12CH3111Cd, and 12CH3113Cd radicals. J Chem Phys 1999. [DOI: 10.1063/1.478206] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023] Open
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Pushkarsky MB, Barckholtz TA, Miller TA. The fluorescence depletion spectroscopy of CdCH3. J Chem Phys 1999. [DOI: 10.1063/1.477867] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
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