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Gamallo P, González M, Petrongolo C. Quantum Dynamics of Nonadiabatic Renner-Teller Effects in Atom + Diatom Collisions. J Phys Chem A 2021; 125:6637-6652. [PMID: 34319740 DOI: 10.1021/acs.jpca.1c04654] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We review the quantum nonadiabatic dynamics of atom + diatom collisions due to the Renner-Teller (RT) effect, i.e., to the Hamiltonian operators that contain the total spinless electronic angular momentum L̂. As is well-known, this rovibronic effect is large near collinear geometries when at least one of the interacting states is doubly degenerate. In general, this occurs in insertion reactions and at short-range, where the potential wells exhibit deep minima and support metastable complexes. Initial-state-resolved reaction probabilities, integral cross sections, and thermal rate constants are calculated via the real wavepacket method, solving the equation of motion with an approximated or with an exact spinless RT Hamiltonian. We present the dynamics of 10 single-channel or multichannel reactions showing how RT effects depend on the product channels and comparing with the Born-Oppenheimer (BO) approximation or coexisting conical-intersection (CI) interactions. RT effects not only can significantly modify the adiabatic dynamics or correct purely CI results, but also they can be very important in opening collision channels which are closed at the BO or CI level, as in electronic-quenching reactions. In the OH(A2Σ+) + Kr electronic quenching, where both nonadiabatic effects (CI and RT) coexist, they are in competition because CI dominates the reactivity but RT couplings reduce the large CI cross section and open a CI-forbidden evolution toward products, so that CI + RT quantum results are in good agreement with experimental or semiclassical findings. The different roles of these couplings are due to the unlike nuclear geometries where they are large: rather far from or near to linearity for CI or RT, respectively. The OH(A2Σ+) + Kr electronic quenching was investigated with the exact RT Hamiltonian, validating the approximated one, which was employed for all other collisions.
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Affiliation(s)
- Pablo Gamallo
- Departament de Ciència dels Materials i Química Física & Institut de Química Teòrica i Computacional (IQTCUB), Universitat de Barcelona, c/Martí i Franquès 1-11, 08028 Barcelona, Spain
| | - Miguel González
- Departament de Ciència dels Materials i Química Física & Institut de Química Teòrica i Computacional (IQTCUB), Universitat de Barcelona, c/Martí i Franquès 1-11, 08028 Barcelona, Spain
| | - Carlo Petrongolo
- Istituto per i Processi Chimico Fisici, Consiglio Nazionale delle Ricerche, Via G. Moruzzi 1, 56124 Pisa, Italy
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2
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Zheng X, Zhu Z. Isotopic effects of the N(2D) + H2 → NH + H reaction: a quantum time-dependent wave packet investigation. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1724339] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Affiliation(s)
- Xingrong Zheng
- Shandong Peninsula Engineering Research Center of Comprehensive Brine Utilization, Weifang University of Science and Technology, Weifang, People’s Republic of China
| | - Ziliang Zhu
- Shandong Peninsula Engineering Research Center of Comprehensive Brine Utilization, Weifang University of Science and Technology, Weifang, People’s Republic of China
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3
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Zhu Z, Wang H, Wang X, Shi Y. Vibrational and rotational excitation effects of the N(2D) + D2(X1Σg +) → ND(X3Σ+) + D(2S) reaction. Mol Phys 2018. [DOI: 10.1080/00268976.2017.1398355] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Ziliang Zhu
- College of Physics Science, Qingdao University, Qingdao, China
- College Physics Foundation Laboratory, Weifang University of Science and Technology, Shouguang, China
| | - Haijie Wang
- College Physics Foundation Laboratory, Weifang University of Science and Technology, Shouguang, China
| | - Xiquan Wang
- College Physics Foundation Laboratory, Weifang University of Science and Technology, Shouguang, China
| | - Yanying Shi
- College Physics Foundation Laboratory, Weifang University of Science and Technology, Shouguang, China
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Gamallo P, Akpinar S, Defazio P, Petrongolo C. Nonadiabatic Renner–Teller quantum dynamics of OH(X2Π) + H+ reactive collisions. Phys Chem Chem Phys 2017; 19:4454-4461. [DOI: 10.1039/c6cp07756k] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Following previous studies on the O(3P) + H2+(X2Σg+) collisions, we present the nonadiabatic quantum dynamics of the reactions OH(X2Π) + H′+ → OH′(X2Π) + H+, exchange (e), → OH+(X3Σ−) + H′(2S), quenching (q), and → OH′+(X3Σ−) + H(2S), exchange-quenching (eq).
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Affiliation(s)
- Pablo Gamallo
- Departament de Ciència de Materials i Química Física & Institut de Química Teòrica i Computacional
- Universitat de Barcelona
- C/Martí i Franquès 1
- 08028 Barcelona
- Spain
| | - Sinan Akpinar
- Department of Physics
- Firat University
- 23169 Elazig
- Turkey
| | - Paolo Defazio
- Dipartimento di Biotecnologie
- Chimica
- e Farmacia
- Università di Siena
- Via A. Moro 2
| | - Carlo Petrongolo
- Istituto per i Processi Chimico Fisici
- Consiglio Nazionale delle Ricerche
- Via G. Moruzzi 1
- 56124 Pisa
- Italy
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6
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Dawes R, Ndengué SA. Single- and multireference electronic structure calculations for constructing potential energy surfaces. INT REV PHYS CHEM 2016. [DOI: 10.1080/0144235x.2016.1195102] [Citation(s) in RCA: 35] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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7
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Ndengué SA, Dawes R, Guo H. A new set of potential energy surfaces for HCO: Influence of Renner-Teller coupling on the bound and resonance vibrational states. J Chem Phys 2016; 144:244301. [DOI: 10.1063/1.4954374] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Steve Alexandre Ndengué
- Department of Chemistry, Missouri University of Science and Technology, Rolla, Missouri 65409, USA
| | - Richard Dawes
- Department of Chemistry, Missouri University of Science and Technology, Rolla, Missouri 65409, USA
| | - Hua Guo
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, USA
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8
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Effects of initial rotational quantum state excitations and thermal rate coefficient at room temperature for the $$\hbox {H}(^{2}\hbox {S}) + \hbox {NH}(\hbox {X}^{3}\Sigma ^{-}) \rightarrow \hbox {N}(^{4}\hbox {S}) + \hbox {H}_{2}(\hbox {X}^{1}\Sigma _{g}^{+})$$ H ( 2 S ) + NH ( X 3 Σ - ) → N ( 4 S ) + H 2 ( X 1 Σ g + ) reaction. Theor Chem Acc 2016. [DOI: 10.1007/s00214-016-1823-y] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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9
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Gamallo P, Defazio P, González M, Paniagua M, Petrongolo C. Born–Oppenheimer and Renner–Teller coupled-channel quantum reaction dynamics of O(3P) + H2+(X2Σg+) collisions. Phys Chem Chem Phys 2015; 17:23392-402. [DOI: 10.1039/c5cp03451e] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We present Born–Oppenheimer (BO) and Renner–Teller (RT) time dependent quantum dynamics studies of the reactions O(3P) + H2+(X2Σg+) → OH+(X3Σ−) + H(2S) and OH(X2Π) + H+.
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Affiliation(s)
- Pablo Gamallo
- Departament de Química Física i Institut de Química Teòrica i Computacional
- Universitat de Barcelona
- 08028 Barcelona
- Spain
| | - Paolo Defazio
- Dipartimento di Biotecnologie
- Chimica
- e Farmacia
- Università di Siena
- 53100 Siena
| | - Miguel González
- Departament de Química Física i Institut de Química Teòrica i Computacional
- Universitat de Barcelona
- 08028 Barcelona
- Spain
| | - Miguel Paniagua
- Departamento de Química Física Aplicada
- Universidad Autónoma de Madrid
- 28049 Cantoblanco
- Spain
| | - Carlo Petrongolo
- Istituto per i Processi Chimico Fisici
- Consiglio Nazionale delle Ricerche
- 56124 Pisa
- Italy
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Li W, Zhang DH, Sun Z. Efficient Fourth-Order Split Operator for Solving the Triatomic Reactive Schrödinger Equation in the Time-Dependent Wavepacket Approach. J Phys Chem A 2014; 118:9801-10. [DOI: 10.1021/jp5074158] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Wentao Li
- Center
for Theoretical
and Computational Chemistry and State Key Laboratory of Molecular
Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
| | - Dong H. Zhang
- Center
for Theoretical
and Computational Chemistry and State Key Laboratory of Molecular
Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
- Synergetic Innovation
Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Zhigang Sun
- Center
for Theoretical
and Computational Chemistry and State Key Laboratory of Molecular
Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
- Synergetic Innovation
Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
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Li Y, Yuan J, Chen M, Ma F, Sun M. Accurate double many-body expansion potential energy surface by extrapolation to the complete basis set limit and dynamics calculations for ground state of NH2. J Comput Chem 2013; 34:1686-96. [PMID: 23666848 DOI: 10.1002/jcc.23310] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/20/2012] [Revised: 04/04/2013] [Accepted: 04/08/2013] [Indexed: 11/11/2022]
Abstract
An accurate single-sheeted double many-body expansion potential energy surface is reported for the title system. A switching function formalism has been used to warrant the correct behavior at the H2(X1Σg+)+N(2D) and NH (X3Σ-)+H(2S) dissociation channels involving nitrogen in the ground N(4S) and first excited N(2D) states. The topographical features of the novel global potential energy surface are examined in detail, and found to be in good agreement with those calculated directly from the raw ab initio energies, as well as previous calculations available in the literature. The novel surface can be using to treat well the Renner-Teller degeneracy of the 12A″ and 12A' states of NH 2. Such a work can both be recommended for dynamics studies of the N(2D)+H2 reaction and as building blocks for constructing the double many-body expansion potential energy surface of larger nitrogen/hydrogen-containing systems. In turn, a test theoretical study of the reaction N(2D)+H2(X1Σg+)(ν=0,j=0)→NH (X3Σ-)+H(2S) has been carried out with the method of quantum wave packet on the new potential energy surface. Reaction probabilities, integral cross sections, and differential cross sections have been calculated. Threshold exists because of the energy barrier (68.5 meV) along the minimum energy path. On the curve of reaction probability for total angular momentum J = 0, there are two sharp peaks just above threshold. The value of integral cross section increases quickly from zero to maximum with the increase of collision energy, and then stays stable with small oscillations. The differential cross section result shows that the reaction is a typical forward and backward scatter in agreement with experimental measurement result.
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Affiliation(s)
- Yongqing Li
- Department of Physics, Liaoning University, Shenyang, 110036, China
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Csehi A, Bende A, Halász GJ, Vibók Á, Das A, Mukhopadhyay D, Baer M. A tri-atomic Renner-Teller system entangled with Jahn-Teller conical intersections. J Chem Phys 2013; 138:024113. [PMID: 23320674 DOI: 10.1063/1.4773352] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
The present study concentrates on a situation where a Renner-Teller (RT) system is entangled with Jahn-Teller (JT) conical intersections. Studies of this type were performed in the past for contours that surround the RT seam located along the collinear axis [see, for instance, G. J. Halász, Á. Vibók, R. Baer, and M. Baer, J. Chem. Phys. 125, 094102 (2006)]. The present study is characterized by planar contours that intersect the collinear axis, thus, forming a unique type of RT-non-adiabatic coupling terms (NACT) expressed in terms of Dirac-δ functions. Consequently, to calculate the required adiabatic-to-diabatic (mixing) angles, a new approach is developed. During this study we revealed the existence of a novel molecular parameter, η, which yields the coupling between the RT and the JT NACTs. This parameter was found to be a pure number η = 22/π (and therefore independent of any particular molecular system) and is designated as Renner-Jahn coupling parameter. The present study also reveals an unexpected result of the following kind: It is well known that each (complete) group of states, responsible for either the JT-effect or the RT-effect, forms a Hilbert space of its own. However, the entanglement between these two effects forms a third effect, namely, the RT/JT effect and the states that take part in it form a different Hilbert space.
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Affiliation(s)
- A Csehi
- Department of Information Technology, University of Debrecen, H-4010 Debrecen, P.O. Box 12, Hungary
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Hankel M, Yue XF. Quantum dynamics study of the N(2D)+H2 reaction and the effects of the potential energy surface on the propagation time. COMPUT THEOR CHEM 2012. [DOI: 10.1016/j.comptc.2011.11.005] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/15/2022]
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15
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N’Doumi M, Halpern JB. Variation of radiative lifetimes of NH 2(Ã 2A 1) with rotational levels in the (0, 8, 0) and (0, 9, 0) vibration bands. J Chem Phys 2012; 136:034307. [DOI: 10.1063/1.3676782] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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16
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New ab Initio Potential Energy Surfaces for the Renner-Teller Coupled 11A′
and 11A′′
States of CH2. ADVANCES IN CHEMICAL PHYSICS 2012. [DOI: 10.1155/2012/236750] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
New ab initio potential energy surfaces (PESs) for the two lowest-lying singlet 11A′ and 11A′′ electronic states of CH2, coupled by the Renner-Teller (RT) effect and meant for the spectroscopic study, are presented. The surfaces are constructed using a dual-level strategy. The internally contracted multireference
configuration interaction calculations with the Davidson correction, using the aug-cc-pVQZ basis set, are
employed to obtain 3042 points at the lower level. The core and core-valence correlation effects are taken
into account in the ab initio calculations with a modified optimized aug-cc-pCVQZ basis set for the higher-level points. The analytical representations of these PESs, with the inclusion of the nonadiabatic RT terms,
are obtained by the nonlinear least-squares fit of the calculated points to three-body expansion. Quantum
dynamical calculations are performed on these PESs, and the computed vibronic energy levels for the two
singlet electronic states are in excellent agreement with experiment.
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Evans NL, Yu H, Roberts GM, Stavros VG, Ullrich S. Observation of ultrafast NH3 (Ã) state relaxation dynamics using a combination of time-resolved photoelectron spectroscopy and photoproduct detection. Phys Chem Chem Phys 2012; 14:10401-9. [DOI: 10.1039/c2cp40178a] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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18
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Sun Z, Yang W, Zhang DH. Higher-order split operator schemes for solving the Schrödinger equation in the time-dependent wave packet method: applications to triatomic reactive scattering calculations. Phys Chem Chem Phys 2012; 14:1827-45. [DOI: 10.1039/c1cp22790d] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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20
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Refining to near spectroscopic accuracy the double many-body expansion potential energy surface for ground-state NH2. Chem Phys Lett 2011. [DOI: 10.1016/j.cplett.2011.09.050] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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21
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Zhang Z, Ma H, Bian W. Accurate quantum mechanical study of the Renner-Teller effect in the singlet CH2. J Chem Phys 2011; 135:154303. [DOI: 10.1063/1.3651081] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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22
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Defazio P, Bussery-Honvault B, Honvault P, Petrongolo C. Nonadiabatic quantum dynamics of C(1D)+H2→CH+H: Coupled-channel calculations including Renner-Teller and Coriolis terms. J Chem Phys 2011; 135:114308. [DOI: 10.1063/1.3636083] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Li A, Han H, Xie D. Global ab initio potential energy surfaces for both the ground (X̃1A′) and excited (Ã1A′′) electronic states of HNO and vibrational states of the Renner-Teller Ã1A′′–X̃1A′system. J Chem Phys 2011; 135:104304. [DOI: 10.1063/1.3632994] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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24
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Lin SY, Guo H, Jiang B, Zhou S, Xie D. Non-Born−Oppenheimer State-to-State Dynamics of the N(2D) + H2 → NH(X̃3Σ−) + H Reaction: Influence of the Renner−Teller Coupling. J Phys Chem A 2010; 114:9655-61. [DOI: 10.1021/jp100976g] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Li YQ, Varandas AJC. Accurate Potential Energy Surface for the 12A′ State of NH2: Scaling of External Correlation Versus Extrapolation to the Complete Basis Set Limit. J Phys Chem A 2010; 114:9644-54. [DOI: 10.1021/jp100273r] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Y. Q. Li
- Departamento de Química, Universidade de Coimbra, 3004-535 Coimbra, Portugal
| | - A. J. C. Varandas
- Departamento de Química, Universidade de Coimbra, 3004-535 Coimbra, Portugal
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