1
|
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: 11] [Impact Index Per Article: 2.8] [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.
Collapse
Affiliation(s)
- Joy Dutta
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India.
| | | | | | | | | | | | | |
Collapse
|
2
|
Naskar K, Mukherjee S, Mukherjee B, Ravi S, Mukherjee S, Sardar S, Adhikari S. ADT: A Generalized Algorithm and Program for Beyond Born–Oppenheimer Equations of “N” Dimensional Sub-Hilbert Space. J Chem Theory Comput 2020; 16:1666-1680. [DOI: 10.1021/acs.jctc.9b00948] [Citation(s) in RCA: 18] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Koushik Naskar
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India
| | - Soumya Mukherjee
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India
| | - Bijit Mukherjee
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India
| | - Satyam Ravi
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India
| | - Saikat Mukherjee
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India
| | - Subhankar Sardar
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India
- Department of Chemistry, Bhatter College, Dantan, Paschim Medinipur 721426, India
| | - Satrajit Adhikari
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India
| |
Collapse
|
3
|
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
| |
Collapse
|
4
|
Mukherjee S, Dutta J, Mukherjee B, Sardar S, Adhikari S. Conical intersections and nonadiabatic coupling terms in 1,3,5-C6H3F3+: A six state beyond Born-Oppenheimer treatment. J Chem Phys 2019; 150:064308. [DOI: 10.1063/1.5064519] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Soumya Mukherjee
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata
700032, India
| | - Joy Dutta
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata
700032, India
| | - Bijit Mukherjee
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata
700032, India
| | - Subhankar Sardar
- Department of Chemistry, Bhatter College, Dantan, Paschim Medinipur 721426,
India
| | - Satrajit Adhikari
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata
700032, India
| |
Collapse
|
5
|
Mandal B, Semenov A, Babikov D. Calculations of Differential Cross Sections Using Mixed Quantum/Classical Theory of Inelastic Scattering. J Phys Chem A 2018; 122:6157-6165. [DOI: 10.1021/acs.jpca.8b04025] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Bikramaditya Mandal
- Chemistry Department, Wehr Chemistry Building, Marquette University, Milwaukee, Wisconsin 53201-1881, United States
| | - Alexander Semenov
- Chemistry Department, Wehr Chemistry Building, Marquette University, Milwaukee, Wisconsin 53201-1881, United States
| | - Dmitri Babikov
- Chemistry Department, Wehr Chemistry Building, Marquette University, Milwaukee, Wisconsin 53201-1881, United States
| |
Collapse
|
6
|
Mukherjee S, Mukherjee B, Adhikari S. Five Electronic State Beyond Born-Oppenheimer Equations and Their Applications to Nitrate and Benzene Radical Cation. J Phys Chem A 2017; 121:6314-6326. [PMID: 28735536 DOI: 10.1021/acs.jpca.7b04592] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We present explicit form of Adiabatic to Diabatic Transformation (ADT) equations and expressions of non-adiabatic coupling terms (NACTs) for a coupled five-state electronic manifold in terms of ADT angles between electronic wave functions. ADT matrices eliminate the numerical instability arising from singularity of NACTs and transform the adiabatic Schrödinger equation to its diabatic form. Two real molecular systems NO3 and C6H6+ (Bz+) are selectively chosen for the demonstration of workability of those equations. We examine the NACTs among the lowest five electronic states of the NO3 radical [X̃2A2' (12B2), Ã2E″ (12A2 and 12B1) and B̃2E' (12A1 and 22B2)], in which all types of non-adiabatic interactions, that is, Jahn-Teller (JT) interactions, Pseudo Jahn-Teller (PJT) interactions, and accidental conical intersections (CIs) are present. On the other hand, lowest five electronic states of Bz+ [X̃2E1g (12B3g and 12B2g), B̃2E2g (12Ag and 12B1g), and C̃2A2u (12B1u)] depict similar kind of complex feature of non-adiabatic effects. For NO3 radical, the two components of degenerate in-plane asymmetric stretching mode are taken as a plane of nuclear configuration space (CS), whereas in case of Bz+, two pairs are chosen: One is the pair of components of degenerate in-plane asymmetric stretching mode, and the other one is constituted with one of the components each from out-of-plane degenerate bend and in-plane degenerate asymmetric stretching modes. We calculate ab initio adiabatic potential energy surfaces (PESs) and NACTs among the lowest five electronic states at the CASSCF level using MOLPRO quantum chemistry package. Subsequently, the ADT is performed using those newly developed equations to validate the positions of the CIs, evaluate the ADT angles and construct smooth, symmetric, and continuous diabatic PESs for both the molecular systems.
Collapse
Affiliation(s)
- Soumya Mukherjee
- Department of Physical Chemistry, Indian Association for the Cultivation of Science , Jadavpur, Kolkata 700 032, India
| | - Bijit Mukherjee
- Department of Physical Chemistry, Indian Association for the Cultivation of Science , Jadavpur, Kolkata 700 032, India
| | - Satrajit Adhikari
- Department of Physical Chemistry, Indian Association for the Cultivation of Science , Jadavpur, Kolkata 700 032, India
| |
Collapse
|
7
|
Semenov A, Babikov D. Three sources of errors in the Ehrenfest treatment of inelastic scattering and possible ways of resolving them. J Chem Phys 2017; 146:224107. [PMID: 29166081 DOI: 10.1063/1.4985074] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In order to identify the origin of possible errors in the mixed quantum/classical approach to inelastic scattering [A. Semenov and D. Babikov, J. Chem. Phys. 140, 044306 (2014) and A. Semenov, M.-L. Dubernet, and D. Babikov, J. Chem. Phys. 141, 114304 (2014)], a simplified model is considered that consists of one intermolecular degree of freedom and two intramolecular states, coupled by a simple potential. For this system, analytic derivations are carried out to determine (i) the exact quantum mechanical solution of the inelastic scattering problem, (ii) a simplified version of it with all oscillatory terms neglected, and (iii) the Ehrenfest solution in which the translational motion is described by the mean-field trajectory while the internal molecular motion is treated by the time-dependent Schrodinger equation. It is shown that the appropriate choice of velocity for the mean-field trajectory permits to enforce microscopic reversibility and gives results in excellent agreement with full-quantum results. The average velocity method of Billing is rigorously derived as a limiting case (of this more general approach), when reversibility is enforced locally, at the initial moment of time only. It is demonstrated that errors of state-to-state transition probabilities in the Ehrenfest approach occur at lower values of total energy E if the magnitudes of excitation energy ΔE, potential energy difference between the two states ΔV, and coupling of two states V12 are large. Possible ways of applying this concept to rotational transitions in real molecules are explored, using examples from CO + CO inelastic scattering.
Collapse
Affiliation(s)
- Alexander Semenov
- Chemistry Department, Wehr Chemistry Building, Marquette University, Milwaukee, Wisconsin 53201-1881, USA
| | - Dmitri Babikov
- Chemistry Department, Wehr Chemistry Building, Marquette University, Milwaukee, Wisconsin 53201-1881, USA
| |
Collapse
|
8
|
Mukherjee S, Mukherjee B, Sardar S, Adhikari S. Ab initio constructed diabatic surfaces of NO2 and the photodetachment spectra of its anion. J Chem Phys 2015; 143:244307. [PMID: 26723671 DOI: 10.1063/1.4938526] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
A thorough investigation has been performed for electronic structure, topological effect, and nuclear dynamics of NO2 molecule, where the adiabatic potential energy surfaces (PESs), conical intersections between the ground (X(2)A1) and the first excited state (A(2)B2), and the corresponding non-adiabatic coupling terms between those states are recalculated [Chem. Phys. 416, 11 (2013)] to achieve enough accuracy in dynamics. We employ beyond Born-Oppenheimer theory for these two state sub-Hilbert space to carry out adiabatic to diabatic transformation (ADT) to obtain the ADT angles and thereby, to construct single-valued, smooth, and continuous diabatic PESs. The analytic expressions for the adiabatic PESs and ADT angles are provided to represent a two-state three-mode diabatic Hamiltonian of NO2 for performing nuclear dynamics to calculate the photo-electron spectra of its anion. It appears that not only Jahn-Teller type coupling but also Renner-Teller interaction contributes significantly on the overall spectrum. The coupling between the electronic states (X(2)A1 and A(2)B2) of NO2 is essentially through the asymmetric stretching mode, where the functional form of such interaction is distinctly symmetric and non-linear.
Collapse
Affiliation(s)
- Saikat Mukherjee
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India
| | - Bijit Mukherjee
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India
| | - Subhankar Sardar
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India
| | - Satrajit Adhikari
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India
| |
Collapse
|
9
|
Mukherjee S, Bandyopadhyay S, Paul AK, Adhikari S. Construction of Diabatic Hamiltonian Matrix from ab Initio Calculated Molecular Symmetry Adapted Nonadiabatic Coupling Terms and Nuclear Dynamics for the Excited States of Na3 Cluster. J Phys Chem A 2013; 117:3475-95. [DOI: 10.1021/jp311597c] [Citation(s) in RCA: 44] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Affiliation(s)
- Saikat Mukherjee
- Department of Physical Chemistry
and Raman Center for Atom, Molecule and Optical Sciences, Indian Association for the Cultivation of Science,
Jadavpur, Kolkata 700 032, India
| | | | - Amit Kumar Paul
- Department of Physical Chemistry
and Raman Center for Atom, Molecule and Optical Sciences, Indian Association for the Cultivation of Science,
Jadavpur, Kolkata 700 032, India
| | - Satrajit Adhikari
- Department of Physical Chemistry
and Raman Center for Atom, Molecule and Optical Sciences, Indian Association for the Cultivation of Science,
Jadavpur, Kolkata 700 032, India
| |
Collapse
|
10
|
|
11
|
Paul AK, Ray S, Mukhopadhyay D, Adhikari S. Ab initio calculations on the excited states of Na3 cluster to explore beyond Born-Oppenheimer theories: Adiabatic to diabatic potential energy surfaces and nuclear dynamics. J Chem Phys 2011; 135:034107. [PMID: 21786987 DOI: 10.1063/1.3609247] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Amit Kumar Paul
- Department of Physical Chemistry and Raman Center for Atom, Molecule and Optical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata-700 032, India
| | | | | | | |
Collapse
|
12
|
Kumar Paul A, Sardar S, Sarkar B, Adhikari S. Single surface beyond Born–Oppenheimer equation for a three-state model Hamiltonian of Na3 cluster. J Chem Phys 2009; 131:124312. [PMID: 19791886 DOI: 10.1063/1.3236839] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Amit Kumar Paul
- Department of Physical Chemistry and Raman Center for Atom, Molecule and Optical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata-700 032, India
| | | | | | | |
Collapse
|
13
|
|
14
|
Song JB, Gislason EA. Theoretical study of collision-induced dissociation in state-selected collisions of H2+(v)+Ar and HD+(v)+Ar. Chem Phys 2003. [DOI: 10.1016/s0301-0104(03)00328-8] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
|
15
|
Takayanagi T, Wada A. Spin-orbit branching in the collision-induced dissociation reaction of He(1S0)+HF(X 1Σ0+)→He(1S0)+H(2S1/2)+F(2P3/2,1/2). J Chem Phys 2001. [DOI: 10.1063/1.1402994] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
16
|
Mebel AM, Yahalom A, Englman R, Baer M. The study of conical intersections between consecutive pairs of the five lowest 2A′ states of the C2H molecule. J Chem Phys 2001. [DOI: 10.1063/1.1389842] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
17
|
MARKOVIĆ NIKOLA, BILLING GERTD. Analyses of the semi-classical wavepacket approach to chemical reactions: the F + H2→ HF + H reaction. Mol Phys 2000. [DOI: 10.1080/00268970009483381] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
|
18
|
Sakimoto K. An accurate semiclassical calculation of collision-induced dissociation. J Chem Phys 2000. [DOI: 10.1063/1.481058] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
19
|
Alijah A, Baer M. The Electronic Adiabatic-Diabatic Transformation Matrix: A Theoretical and Numerical Study of a Three-State System. J Phys Chem A 1999. [DOI: 10.1021/jp992742o] [Citation(s) in RCA: 78] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Affiliation(s)
- Alexander Alijah
- Departamento de Quìmica, Universidade de Coimbra, P-3049 Coimbra Codex, Portugal and Fakultät für Chemie, Universität Bielefeld, Bielefeld, 33501 Germany
| | - Michael Baer
- Institute of Atomic and Molecular Science, Taipei, Taiwan ROC 10764, and Department of Physics and Applied Mathematics, Soreq NRC, Yavne 81800, Israel
| |
Collapse
|
20
|
Sakimoto K. A semiclassical study of vibrational and rotational transition in He+H2 at suprathermal energies. Chem Phys 1999. [DOI: 10.1016/s0301-0104(99)00259-1] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
21
|
Sakimoto K. A semiclassical study of collision-induced dissociation in He+H2: The effect of molecular rotation. J Chem Phys 1999. [DOI: 10.1063/1.479064] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
22
|
|
23
|
|
24
|
|
25
|
Vijay A, Billing GD. Semiclassical wave packet calculations on ion–molecule reactions: Studies on B+(3Pu)+H2 reaction. J Chem Phys 1997. [DOI: 10.1063/1.474655] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
26
|
Last I, Gilibert M, Baer M. A three-dimensional quantum mechanical study of the H+H2+→H2+H+ system: Competition between chemical exchange and inelastic processes. J Chem Phys 1997. [DOI: 10.1063/1.474498] [Citation(s) in RCA: 54] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
27
|
Aguillon F, Sizun M. Theoretical investigation of the Ar+H2+(0⩽v⩽4, j=0)→ArH++H nonadiabatic reaction dynamics. J Chem Phys 1997. [DOI: 10.1063/1.473856] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
28
|
Sizun M, Aguillon F, Sidis V, Zenevich V, Billing G, Marković N. Theoretical investigation of the Ar+(J) + H2 → ArH+ + H reaction: semiclassical coupled wavepacket treatment. Chem Phys 1996. [DOI: 10.1016/0301-0104(96)00101-2] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
29
|
Sidis V. Diabatic excited states of the (HeH2)+ molecular ion for the charge exchange-excitation reaction: He+ + H2 → HeH+ + H∗. Chem Phys 1996. [DOI: 10.1016/0301-0104(96)00060-2] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
|