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Choi S, Vaníček J. How important are the residual nonadiabatic couplings for an accurate simulation of nonadiabatic quantum dynamics in a quasidiabatic representation? J Chem Phys 2021; 154:124119. [PMID: 33810696 DOI: 10.1063/5.0046067] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Diabatization of the molecular Hamiltonian is a standard approach to remove the singularities of nonadiabatic couplings at conical intersections of adiabatic potential energy surfaces. In general, it is impossible to eliminate the nonadiabatic couplings entirely-the resulting "quasidiabatic" states are still coupled by smaller but nonvanishing residual nonadiabatic couplings, which are typically neglected. Here, we propose a general method for assessing the validity of this potentially drastic approximation by comparing quantum dynamics simulated either with or without the residual couplings. To make the numerical errors negligible to the errors due to neglecting the residual couplings, we use the highly accurate and general eighth-order composition of the implicit midpoint method. The usefulness of the proposed method is demonstrated on nonadiabatic simulations in the cubic Jahn-Teller model of nitrogen trioxide and in the induced Renner-Teller model of hydrogen cyanide. We find that, depending on the system, initial state, and employed quasidiabatization scheme, neglecting the residual couplings can result in wrong dynamics. In contrast, simulations with the exact quasidiabatic Hamiltonian, which contains the residual couplings, always yield accurate results.
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Affiliation(s)
- Seonghoon Choi
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Jiří Vaníček
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
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2
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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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3
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Dutta J, Mukherjee S, Naskar K, Ghosh S, Mukherjee B, Ravi S, Adhikari S. The role of electron-nuclear coupling on multi-state photoelectron spectra, scattering processes and phase transitions. Phys Chem Chem Phys 2020; 22:27496-27524. [PMID: 33283826 DOI: 10.1039/d0cp04052e] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We present first principle based beyond Born-Oppenheimer (BBO) theory and its applications on various models as well as realistic spectroscopic and scattering processes, where the Jahn-Teller (JT) theory is brought in conjunction with the BBO approach on the phase transition of lanthanide complexes. Over one and half decades, our development of BBO theory is demonstrated with ab initio calculations on representative molecules of spectroscopic interest (NO2 radical, Na3 and K3 clusters, NO3 radical, C6H6+ and 1,3,5-C6H3F3+ radical cations) as well as triatomic reactive scattering processes (H+ + H2 and F + H2). Such an approach exhibits the effect of JT, Renner-Teller (RT) and pseudo Jahn-Teller (PJT) type of interactions. While implementing the BBO theory, we generate highly accurate diabatic potential energy surfaces (PESs) to carry out quantum dynamics calculation and find excellent agreement with experimental photoelectron spectra of spectroscopic systems and cross-sections/rate constants of scattering processes. On the other hand, such electron-nuclear couplings incorporated through JT theory play a crucial role in dictating higher energy satellite transitions in the dielectric function spectra of the LaMnO3 complex. Overall, this article thoroughly sketches the current perspective of the BBO approach and its connection with JT theory with various applications on physical and chemical processes.
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Affiliation(s)
- Joy Dutta
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India.
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4
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Nandipati KR, Vasilyev OA, Navarkin IS, Solomonik VG, Domcke W. First-principles study of large-amplitude dynamic Jahn–Teller effects in vanadium tetrafluoride. J Chem Phys 2020; 152:094304. [DOI: 10.1063/1.5131739] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- K. R. Nandipati
- Department of Chemistry, Technical University of Munich, D-85747 Garching, Germany
| | - O. A. Vasilyev
- Department of Physics, Ivanovo State University of Chemistry and Technology, 153000 Ivanovo, Russia
| | - I. S. Navarkin
- Department of Physics, Ivanovo State University of Chemistry and Technology, 153000 Ivanovo, Russia
| | - V. G. Solomonik
- Department of Physics, Ivanovo State University of Chemistry and Technology, 153000 Ivanovo, Russia
| | - W. Domcke
- Department of Chemistry, Technical University of Munich, D-85747 Garching, Germany
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5
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Mukherjee B, Naskar K, Mukherjee S, Ghosh S, Sahoo T, Adhikari S. Beyond Born–Oppenheimer theory for spectroscopic and scattering processes. INT REV PHYS CHEM 2019. [DOI: 10.1080/0144235x.2019.1672987] [Citation(s) in RCA: 26] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Affiliation(s)
- Bijit Mukherjee
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata, India
| | - Koushik Naskar
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata, India
| | - Soumya Mukherjee
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata, India
| | - Sandip Ghosh
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata, India
| | - Tapas Sahoo
- Department of Chemistry, University of Waterloo, Waterloo, Ontario, Canada
| | - Satrajit Adhikari
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata, India
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6
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Bhattacharyya S, Opalka D, Domcke W. E×e Jahn–Teller effect in the P4+ cation and its signatures in the photoelectron spectrum of P4. Chem Phys 2015. [DOI: 10.1016/j.chemphys.2015.05.002] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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7
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Bhattacharyya S, Opalka D, Poluyanov LV, Domcke W. The (E + A) × (e + a) Jahn–Teller and Pseudo-Jahn–Teller Hamiltonian Including Spin–Orbit Coupling for Trigonal Systems. J Phys Chem A 2014; 118:11962-70. [DOI: 10.1021/jp506793z] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | - Daniel Opalka
- Department
of Chemistry, University of Cambridge, Cambridge CB2 1EW, United Kingdom
| | - Leonid V. Poluyanov
- Institute
of Chemical Physics, Academy of Sciences, Chernogolovka, Moscow 142432, Russia
| | - Wolfgang Domcke
- Department
of Chemistry, Technische Universität München, D-85748 Garching, Germany
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8
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Mukherjee S, Adhikari S. The excited states of K3 cluster: The molecular symmetry adapted non-adiabatic coupling terms and diabatic Hamiltonian matrix. Chem Phys 2014. [DOI: 10.1016/j.chemphys.2014.05.022] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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9
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Ghassemi EN, Larson J, Larson Å. A diabatic representation of the two lowest electronic states of Li3. J Chem Phys 2014. [DOI: 10.1063/1.4871014] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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10
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Yang S, Ellis AM, Spence D, Feng C, Boatwright A, Latimer E, Binns C. Growing metal nanoparticles in superfluid helium. NANOSCALE 2013; 5:11545-11553. [PMID: 24107922 DOI: 10.1039/c3nr04003h] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/02/2023]
Abstract
Helium droplets provide a cold and confined environment where atomic and/or molecular dopants can aggregate into clusters and nanoparticles. In particular, the sequential addition of different materials to helium droplets can lead to the formation of a wide range of nanoparticles, including core-shell nanoparticles, which can then be deposited onto a surface. Here we briefly discuss the fundamental properties of helium droplets and then address their implications for the formation of clusters and nanoparticles. Several key experiments on atomic and molecular clusters will be highlighted and new results obtained for nanoparticles formed in this way will be presented. Finally, the versatility, the limitations and new possibilities provided by superfluid helium droplets in nanoscience and nanotechnology will be addressed.
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Affiliation(s)
- Shengfu Yang
- Department of Chemistry, University of Leicester, Leicester LE1 7RH, UK.
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11
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Bhattacharyya S, Opalka D, Poluyanov LV, Domcke W. Jahn-Teller theory beyond the standard model. ACTA ACUST UNITED AC 2013. [DOI: 10.1088/1742-6596/428/1/012015] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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12
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Opalka D, Poluyanov LV, Domcke W. Relativistic Jahn-Teller effects in the photoelectron spectra of tetrahedral P4, As4, Sb4, and Bi4. J Chem Phys 2011; 135:104108. [DOI: 10.1063/1.3629779] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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13
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Giese C, Stienkemeier F, Mudrich M, Hauser AW, Ernst WE. Homo- and heteronuclear alkali metal trimers formed on helium nanodroplets. Part II. Femtosecond spectroscopy and spectra assignments. Phys Chem Chem Phys 2011; 13:18769-80. [PMID: 21869967 DOI: 10.1039/c1cp21191a] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023]
Abstract
Homo- and heteronuclear alkali quartet trimers of type K(3-n)Rb(n) (n = 0,1,2,3) formed on helium nanodroplets are probed by one-color femtosecond (fs) photoionization (PI) spectroscopy. The obtained frequencies are assigned to vibrations in different electronic states in comparison to high level ab initio calculations of the involved potentials including pronounced Jahn-Teller and spin-orbit couplings. Despite the fact that the resulting complex vibronic structure of the heavy alkali molecules complicates the comparison of experiment and theory we find good agreement for many of the observed lines for all species.
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Affiliation(s)
- Christian Giese
- Physikalisches Institut, Universität Freiburg, 79104 Freiburg, Germany.
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