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Brady RP, Yurchenko SN, Kim GS, Somogyi W, Tennyson J. An ab initio study of the rovibronic spectrum of sulphur monoxide (SO): diabatic vs. adiabatic representation. Phys Chem Chem Phys 2022; 24:24076-24088. [PMID: 36172791 DOI: 10.1039/d2cp03051a] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We present an ab initio study of the rovibronic spectra of sulphur monoxide (32S16O) using internally contracted multireference configuration interaction (ic-MRCI) method and aug-cc-pV5Z basis sets. It covers 13 electronic states X3Σ-, a1Δ, b1Σ+, c1Σ-, A''3Σ+, A'3Δ, A3Π, B3Σ-, C3Π, d1Π, e1Π, C'3Π, and (3)1Π ranging up to 66 800 cm-1. The ab initio spectroscopic model includes 13 potential energy curves, 23 dipole and transition dipole moment curves, 23 spin-orbit curves, and 14 electronic angular momentum curves. A diabatic representation is built by removing the avoided crossings between the spatially degenerate pairs C3Π-C'3Π and e1Π-(3)1Π through a property-based diabatisation method. We also present non-adiabatic couplings and diabatic couplings for these avoided crossing systems. All phases for our coupling curves are defined, and consistent, providing the first fully reproducible spectroscopic model of SO covering the wavelength range longer than 147 nm. Finally, an ab initio rovibronic spectrum of SO is computed.
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Affiliation(s)
- R P Brady
- Department of Physics and Astronomy, University College London, Gower Street, WC1E 6BT London, UK.
| | - S N Yurchenko
- Department of Physics and Astronomy, University College London, Gower Street, WC1E 6BT London, UK.
| | - G-S Kim
- Dharma College, Dongguk University, 30, Pildong-ro 1-gil, Jung-gu, Seoul 04620, Korea
| | - W Somogyi
- Department of Physics and Astronomy, University College London, Gower Street, WC1E 6BT London, UK.
| | - J Tennyson
- Department of Physics and Astronomy, University College London, Gower Street, WC1E 6BT London, UK.
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2
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Mondal R, Mukhopadhyay D. Study of nonadibatic effect on dissociation channels of HCNH – the issue of abundance ratio [HNC]/[HCN] in upper atmosphere revisited. Mol Phys 2022. [DOI: 10.1080/00268976.2022.2112628] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/15/2022]
Affiliation(s)
- Rintu Mondal
- Department of Chemistry, University of Calcutta, Kolkata, India
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3
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Rocha CMR, Varandas AJC. Accurate CHIPR Potential Energy Surface for the Lowest Triplet State of C 3. J Phys Chem A 2019; 123:8154-8169. [PMID: 31184891 DOI: 10.1021/acs.jpca.9b03194] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We report the first global ab initio-based potential energy surface (PES) for ground-state triplet C3(3A') based on accurate energies extrapolated to the complete basis set (CBS) limit, and using the combined-hyperbolic-inverse-power-representation method for the analytical modeling. By relying on a cost-effective CBS(D,T) protocol, we ensure that the final form reproduces all topographical features of the PES, including its cyclic-linear isomerization barrier, with CBS(5,6)-quality. To partially account for the incompleteness of the N-electron basis and other minor effects, the available accurate experimental data on the relevant diatomics were used to obtain direct-fit curves that replace the theoretical ones in the many-body expansion. Besides describing properly long-range interactions at all asymptotic channels and permutational symmetry by built-in construction, the PES reported here reproduces the proper exothermicities at dissociation regions as well as the spectroscopy of the diatomic fragments. Bound vibrational state calculations in both linear and cyclic isomers have also been carried out, unveiling a good match of the available data on C3(ã 3Πu), while assisting with IR band positions for C3(3A2') that may serve as a guide for its laboratory and astronomical detection.
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Affiliation(s)
- C M R Rocha
- Coimbra Chemistry Centre and Chemistry Department , University of Coimbra , 3004-535 Coimbra , Portugal
| | - A J C Varandas
- Coimbra Chemistry Centre and Chemistry Department , University of Coimbra , 3004-535 Coimbra , Portugal.,School of Physics and Physical Engineering , Qufu Normal University , Qufu 273165 , P. R. China
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4
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Wang D, Shi G, Fu L, Yin R, Ji Y. Accurate Potential Energy Surfaces for the Three Lowest Electronic States of N( 2D) + H 2(X 1∑ g +) Scattering Reaction. ACS OMEGA 2019; 4:12167-12174. [PMID: 31460331 PMCID: PMC6682084 DOI: 10.1021/acsomega.9b01395] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/14/2019] [Accepted: 06/27/2019] [Indexed: 05/31/2023]
Abstract
The three lowest full three-dimensional adiabatic and three diabatic global potential energy surfaces are reported for the title system. The accurate ab initio method (MCSCF/MRCI) with larger basis sets (aug-cc-pVQZ) is used to reduce the adiabatic potential energies, and the global adiabatic potential energy surfaces are deduced by a three-dimensional B-spline fitting method. The conical intersections and the mixing angles between the lowest three adiabatic potential energy surfaces are precisely studied. The most possible nonadiabatic reaction pathways are predicted, i.e., N(2D) + H2(X1∑g +) → NH2(22A') → CI (12A'-22A') → NH2(12A') → CI (12A″-12A') → NH2(12A″) → NH(X3∑-) + H(2S). The products of the first excited state (NH(a1Δ) + H(2S)) and the second excited state (NH(b1∑g +) + H(2S)) can be generated in these nonadiabatic reaction pathways too.
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Affiliation(s)
- Dequan Wang
- Laboratory
of Theoretical and Computational Chemistry, Institute of Theoretical
Chemistry, Jilin University, Changchun 130023, People’s Republic of China
| | - Guang Shi
- Hematology and Oncology Department and Pain Department, The Second Hospital, Jilin University, Changchun 130041, People’s Republic of China
| | - Liwei Fu
- Laboratory
of Theoretical and Computational Chemistry, Institute of Theoretical
Chemistry, Jilin University, Changchun 130023, People’s Republic of China
| | - Ruilin Yin
- Laboratory
of Theoretical and Computational Chemistry, Institute of Theoretical
Chemistry, Jilin University, Changchun 130023, People’s Republic of China
| | - Youbo Ji
- Hematology and Oncology Department and Pain Department, The Second Hospital, Jilin University, Changchun 130041, People’s Republic of China
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5
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Rocha CMR, Li J, Varandas AJC. Difficulties and Virtues in Assessing the Potential Energy Surfaces of Carbon Clusters via DMBE Theory: Stationary Points of C κ (κ = 2-10) at the Focal Point. J Phys Chem A 2019; 123:3121-3130. [PMID: 30632758 DOI: 10.1021/acs.jpca.8b11632] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The previously reported potential energy surfaces (PESs) of ground-state singlet C3 and triplet C4 are here utilized as input for the construction of approximate cluster expansions for larger Cκ (κ = 5-10) species. Relying primarily on the double many-body expansion (DMBE) approach, global potentials are obtained by summing the total interaction energies of all atomic subclusters up to four-body terms. The notable capability of the final forms in predicting good estimates of the linear global minima and their thermochemical/structural properties may provide important insights into the structure-determining nature of the (2 + 3 + 4) terms. The main difficulties and virtues in assessing Cκ's via DMBE theory are analyzed and new prospects given for the construction of global reliable PESs for the target species.
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Affiliation(s)
- C M R Rocha
- Department of Chemistry and Coimbra Chemistry Centre , University of Coimbra 3004-535 Coimbra , Portugal
| | - Jing Li
- School of Physics and Physical Engineering , Qufu Normal University , Qufu 273165 , P.R. China
| | - A J C Varandas
- Department of Chemistry and Coimbra Chemistry Centre , University of Coimbra 3004-535 Coimbra , Portugal.,School of Physics and Physical Engineering , Qufu Normal University , Qufu 273165 , P.R. China
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6
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Loos PF, Boggio-Pasqua M, Scemama A, Caffarel M, Jacquemin D. Reference Energies for Double Excitations. J Chem Theory Comput 2019; 15:1939-1956. [DOI: 10.1021/acs.jctc.8b01205] [Citation(s) in RCA: 79] [Impact Index Per Article: 15.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | - Martial Boggio-Pasqua
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | - Michel Caffarel
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | - Denis Jacquemin
- Laboratoire CEISAM (UMR 6230), CNRS, Université de Nantes, 44399 Cedex 3 Nantes, France
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Baeck KK, An H. Practical approximation of the non-adiabatic coupling terms for same-symmetry interstate crossings by using adiabatic potential energies only. J Chem Phys 2018; 146:064107. [PMID: 28201877 DOI: 10.1063/1.4975323] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
Abstract
A very simple equation, FijApp=[(∂2(Via-Vja)/∂Q2)/(Via-Vja)]1/2/2, giving a reliable magnitude of non-adiabatic coupling terms (NACTs, Fij's) based on adiabatic potential energies only (Via and Vja) was discovered, and its reliability was tested for several prototypes of same-symmetry interstate crossings in LiF, C2, NH3Cl, and C6H5SH molecules. Our theoretical derivation starts from the analysis of the relationship between the Lorentzian dependence of NACTs along a diabatization coordinate and the well-established linear vibronic coupling scheme. This analysis results in a very simple equation, α=2κ/Δc, enabling the evaluation of the Lorentz function α parameter in terms of the coupling constant κ and the energy gap Δc (Δc=|Via-Vja|Qc ) between adiabatic states at the crossing point QC. Subsequently, it was shown that QC corresponds to the point where FijApp exhibit maximum values if we set the coupling parameter as κ=[(Via-Vja)⋅(∂2(Via-Vja)/∂Q2)]Qc1/2/2. Finally, we conjectured that this relation could give reasonable values of NACTs not only at the crossing point but also at other geometries near QC. In this final approximation, the pre-defined crossing point QC is not required. The results of our test demonstrate that the approximation works much better than initially expected. The present new method does not depend on the selection of an ab initio method for adiabatic electronic states but is currently limited to local non-adiabatic regions where only two electronic states are dominantly involved within a nuclear degree of freedom.
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Affiliation(s)
- Kyoung Koo Baeck
- Department of Chemistry, Gangneung-Wonju National University, Gangwon-do 25457, South Korea
| | - Heesun An
- Department of Chemistry, Gangneung-Wonju National University, Gangwon-do 25457, South Korea
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8
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Rocha CMR, Varandas AJC. Multiple conical intersections in small linear parameter Jahn-Teller systems: the DMBE potential energy surface of ground-state C 3 revisited. Phys Chem Chem Phys 2018; 20:10319-10331. [PMID: 29610812 DOI: 10.1039/c7cp06656b] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
A new single-sheeted DMBE potential energy surface for ground-state C3 is reported. The novel analytical form accurately describes the three symmetry-equivalent C2v disjoint seams, in addition to the symmetry-required D3h one, over the entire configuration space. The present formalism warrants by built-in construction the confluence of the above crossings, and the rotation-in-plane of the C2v seams when the perimeter of the molecule fluctuates. Up to 1050 ab initio energies have been employed in the calibration procedure, of which 421 map the loci of intersection. The calculated energies have been scaled to account for the incompleteness of the basis set and truncation of the MRCI expansion, and fitted analytically with chemical accuracy. The novel form is shown to accurately mimic the region defined by the 4 conical intersections, while exhibiting similar attributes to the previously reported one [J. Chem. Phys., 2015, 143, 074302] at the regions of configuration space away from the crossing seams. Despite being mainly addressed to C3, the present approach should be applicable to adiabatic PESs of any X3 system experiencing similar topological attributes, in particular the small-linear-parameter Jahn-Teller molecules.
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Affiliation(s)
- C M R Rocha
- Departamento de Química, and Centro de Química, Universidade de Coimbra, 3004-535 Coimbra, Portugal.
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Varandas AJC, Rocha CMR. Cn ( n=2-4): current status. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2018; 376:rsta.2017.0145. [PMID: 29431687 PMCID: PMC5805914 DOI: 10.1098/rsta.2017.0145] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 10/27/2017] [Indexed: 05/28/2023]
Abstract
The major aspects of the C2, C3 and C4 elemental carbon clusters are surveyed. For C2, a brief analysis of its current status is presented. Regarding C3, the most recent results obtained in our group are reviewed with emphasis on modelling its potential energy surface which is particularly complicated due to the presence of multiple conical intersections. As for C4, the most stable isomeric forms of both triplet and singlet spin states and their possible interconversion pathways are examined afresh by means of accurate ab initio calculations. The main strategies for modelling the ground triplet C4 potential are also discussed. Starting from a truncated cluster expansion and a previously reported DMBE form for C3, an approximate four-body term is calibrated from the ab initio energies. The final six-dimensional global DMBE form so obtained reproduces all known topographical aspects while providing an accurate description of the C4 linear-rhombic isomerization pathway. It is therefore commended for both spectroscopic and reaction dynamics studies.This article is part of the theme issue 'Modern theoretical chemistry'.
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Affiliation(s)
- A J C Varandas
- Department of Chemistry and Coimbra Chemistry Center, University of Coimbra 3004-535 Coimbra, Portugal
| | - C M R Rocha
- Department of Chemistry and Coimbra Chemistry Center, University of Coimbra 3004-535 Coimbra, Portugal
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Tamura H. Diabatization for Time-Dependent Density Functional Theory: Exciton Transfers and Related Conical Intersections. J Phys Chem A 2016; 120:9341-9347. [PMID: 27801581 DOI: 10.1021/acs.jpca.6b09854] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Intermolecular exciton transfers and related conical intersections are analyzed by diabatization for time-dependent density functional theory. The diabatic states are expressed as a linear combination of the adiabatic states so as to emulate the well-defined reference states. The singlet exciton coupling calculated by the diabatization scheme includes contributions from the Coulomb (Förster) and electron exchange (Dexter) couplings. For triplet exciton transfers, the Dexter coupling, charge transfer integral, and diabatic potentials of stacked molecules are calculated for analyzing direct and superexchange pathways. We discuss some topologies of molecular aggregates that induce conical intersections on the vanishing points of the exciton coupling, namely boundary of H- and J-aggregates and T-shape aggregates, as well as canceled exciton coupling to the bright state of H-aggregate, i.e., selective exciton transfer to the dark state. The diabatization scheme automatically accounts for the Berry phase by fixing the signs of reference states while scanning the coordinates.
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Affiliation(s)
- Hiroyuki Tamura
- Department of Chemical System Engineering, School of Engineering, The University of Tokyo , 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
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11
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Galvão B, Mota V, Varandas A. Modeling cusps in adiabatic potential energy surfaces using a generalized Jahn-Teller coordinate. Chem Phys Lett 2016. [DOI: 10.1016/j.cplett.2016.07.029] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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12
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A practical and efficient diabatization that combines Lorentz and Laplace functions to approximate nonadiabatic coupling terms. J Chem Phys 2015; 143:194102. [DOI: 10.1063/1.4935607] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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13
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Rocha CMR, Varandas AJC. Accurate ab initio-based double many-body expansion potential energy surface for the adiabatic ground-state of the C3 radical including combined Jahn-Teller plus pseudo-Jahn-Teller interactions. J Chem Phys 2015; 143:074302. [DOI: 10.1063/1.4928434] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022] Open
Affiliation(s)
- C. M. R. Rocha
- Departamento de Química, and Centro de Química, Universidade de Coimbra, 3004-535 Coimbra, Portugal
| | - A. J. C. Varandas
- Departamento de Química, and Centro de Química, Universidade de Coimbra, 3004-535 Coimbra, Portugal
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Das A, Mukhopadhyay D. Study of nonadiabatic effects in low-lying electronic states of HCNH with implication in its dissociation to HCN and HNC. J Phys Chem A 2013; 117:8680-90. [PMID: 23675649 DOI: 10.1021/jp403068v] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Abnormal abundance of HNC in interstellar spaces has been the motivation of many experimental as well as theoretical studies of the branching ratio [HNC]/[HCN] in the dissociation of HCNH, right after its formation from electron capture by HCNH(+), available in the upper atmosphere. In the present work we were interested in nonadiabatic studies involving the dissociation channel of HCNH leading to the formation of HNC. This study reports for the first time that the conical intersection (CI) between the states 1(2)Σ(+) and 2(2)Σ(+) exists only in some bent geometry (and not in the collinear geometry) where both of these states have A' symmetry. This finding is important as this CI is crucial in the dissociation of HCNH. We further report that these two states strongly couple with 1(2)Π, the lowest electronic state of collinear HCNH. Hence we construct a three-state Hilbert subspace (HSS), comprising of the states 1(2)Π, 1(2)Σ(+), and 2(2)Σ(+), in a configuration space where these states interact very strongly and the adiabatic-to-diabatic transformation angles (mixing angle) yield meaningful values of topological (Berry) phase. This leads to the construction of the corresponding three-state diabatic potentials. We advocate that these diabatic potentials, considering both the linear as well as bent configurations, nicely elucidate the formation of the HNC molecule by the CH bond dissociation of HCNH molecule.
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Affiliation(s)
- Anita Das
- Department of Chemistry, University of Calcutta , Kolkata - 700009, India
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15
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Jahn–Teller intersections involving excited states of the F+H2 system: Identification and influence on the reaction system. Chem Phys 2013. [DOI: 10.1016/j.chemphys.2012.12.007] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Galvão BRL, Caridade PJSB, Varandas AJC. N(4S /2D)+N2: Accurateab initio-based DMBE potential energy surfaces and surface-hopping dynamics. J Chem Phys 2012; 137:22A515. [DOI: 10.1063/1.4737858] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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17
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Shi D, Zhang X, Sun J, Zhu Z. MRCI study on spectroscopic and molecular properties of B1Δg, , C1Πg, , and 11Δuelectronic states of the C2radical. Mol Phys 2011. [DOI: 10.1080/00268976.2011.564593] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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18
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Joseph S, Varandas AJC. Accurate MRCI and CC Study of the Most Relevant Stationary Points and Other Topographical Attributes for the Ground-State C2H2 Potential Energy Surface. J Phys Chem A 2010; 114:13277-87. [DOI: 10.1021/jp109830s] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- S. Joseph
- 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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19
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Joseph S, Varandas AJC. Ab initio Based DMBE Potential Energy Surface for the Ground Electronic State of the C2H Molecule. J Phys Chem A 2010; 114:2655-64. [DOI: 10.1021/jp910269w] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- S. Joseph
- 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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Varandas AJC. Accurate ab initio potential energy curves for the classic Li–F ionic-covalent interaction by extrapolation to the complete basis set limit and modeling of the radial nonadiabatic coupling. J Chem Phys 2009; 131:124128. [DOI: 10.1063/1.3237028] [Citation(s) in RCA: 58] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023] Open
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