1
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Zhang S, Qin Z, Liu L. An ab initio diabatic study of rovibronic spectra of CN. Phys Chem Chem Phys 2024; 26:16998-17010. [PMID: 38835203 DOI: 10.1039/d4cp00829d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/06/2024]
Abstract
An ab initio study of the rovibronic spectra for the cyano radical (CN) based on a diabatic representation is presented. This work considers 17 electronic states, 59 dipole moment curves, 88 spin-orbit coupling curves, and 30 electronic angular momentum coupling curves, which are obtained using the internally contracted multireference configuration interaction method including the Davidson correction (icMRCI + Q) with the aug-cc-pwCV5Z-DK basis set. The diabatic transformations are performed based on a property-based diabatization method to remove the avoided crossings for the D2Π-H2Π and b4Π-24Π pairs. Ab initio potential energy curves of the X2Σ+, B2Σ+, E2Σ+, A2Π, D2Π, H2Π, F2Δ and J2Δ electronic states are shifted to match the experimental electronic excitation energies and the equilibrium internuclear distances. The coupled nuclear motion Schrödinger equations are then solved to obtain the rovibronic spectra of CN for wavenumbers from 0 to 80 000 cm-1. At wavenumbers of 0-30 000 cm-1, our absorption cross sections agree well with available theoretical data. For wavenumbers above 30 000 cm-1, our cross sections are larger than previous data in view of the fact that the transitions involving high-lying electronic states are considered. This work provides an overall prediction of the rovibronic spectrum of CN. Our results are suitable for temperatures below 8000 K and could be useful for the investigations of planetary exploration.
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Affiliation(s)
- Shuai Zhang
- School of Energy and Power Engineering, Shandong University, Jinan, Shandong, 250061, China.
| | - Zhi Qin
- School of Energy and Power Engineering, Shandong University, Jinan, Shandong, 250061, China.
| | - Linhua Liu
- School of Energy and Power Engineering, Shandong University, Jinan, Shandong, 250061, China.
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2
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Arasaki Y, Takatsuka K. Sonification of molecular electronic energy density and its dynamics. RSC Adv 2024; 14:9099-9108. [PMID: 38500631 PMCID: PMC10945511 DOI: 10.1039/d4ra00999a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/08/2024] [Accepted: 02/14/2024] [Indexed: 03/20/2024] Open
Abstract
A method is proposed for sonification of the molecular electronic energy density. The characteristic energetic structures of the individual complicated electronic wavefunctions are extracted in terms of the Energy Natural Orbitals (ENO), which are the eigenfunctions of the electronic energy density operator [K. Takatsuka and Y. Arasaki, J. Chem. Phys., 2021, 154, 094103]. Then, the frequency corresponding to each ENO energy is linearly transformed to the audible range. The time-variation of the population of the ENO serves as the volume (amplitude) of the sound. We demonstrate the sonification and associated voiceprints for a couple of very basic chemical bondings, from across an avoided crossing, and from the bond dissociation of a cluster.
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Affiliation(s)
- Yasuki Arasaki
- Fukui Institute for Fundamental Chemistry, Kyoto University 606-8103 Kyoto Japan
| | - Kazuo Takatsuka
- Fukui Institute for Fundamental Chemistry, Kyoto University 606-8103 Kyoto Japan
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3
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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: 5] [Impact Index Per Article: 2.5] [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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4
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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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5
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Ren M, Liu X, Zhang L, Lin X, Wu W, Chen Z. Compact and accurate ab initio valence bond wave functions for electron transfer: the classic but challenging covalent-ionic interaction in LiF. J Chem Phys 2022; 157:084106. [DOI: 10.1063/5.0097614] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The paper combines the valence bond block diabatization approach (VBBDA) with the idea of orbital breathing. With highly compact wave functions, the breathing orbital valence bond (BOVB) method is applied to investigate several atomic and molecular properties including the electron affinity of F, the adiabatic and diabatic potential energy curves and the dipole moment curves of the two lowest-lying 1Σ+ states, the electronic coupling curve and the crossing distance of the two diabatic states, and the spectroscopic constants of the ground states for LiF. The configuration selection scheme proposed in this work is quite general, requiring only the selection of several de-excitation and excitation orbitals in a sense like the restricted active space self-consistent field method. Practically, this is also the first time that BOVB results are extrapolated to complete basis set limit. Armed with the chemical intuition provided by VB theory, the classic but challenging covalent-ionic interaction in the title molecule is not only conceptually interpreted but is also accurately computed.
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Affiliation(s)
- Mingxing Ren
- College of Chemistry and Chemical Engineering, Xiamen University, China
| | | | - Lina Zhang
- College of Chemistry and Chemical Engineering, Xiamen University, China
| | | | - Wei Wu
- Chemistry, Xiamen University, China
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6
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MacDonell RJ, Patchkovskii S, Schuurman MS. A Comparison of Partial Atomic Charges for Electronically Excited States. J Chem Theory Comput 2022; 18:1061-1071. [PMID: 35015528 DOI: 10.1021/acs.jctc.1c01101] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Partial atomic charges are a useful and intuitive concept for understanding molecular properties and chemical reaction mechanisms, showing how changes in molecular geometry can affect the flow of electronic charge within a molecule. However, the use of partial atomic charges remains relatively uncommon in the characterization of excited-state electronic structure. Here, we show how well-established partial atomic charge methods perform for interatomic, intermolecular, and interbond electron transfer in electronically excited states. Our results demonstrate the utility of real-space partial atomic charges for interpreting the electronic structures that arise in excited-state processes. Furthermore, we show how this analysis can be used to demonstrate that analogous electronic structures arise near photochemically relevant conical intersection regions for several conjugated polyenes. On the basis of our analysis, we find that charges computed using the iterative Hirshfeld approach provide results which are consistent with chemical intuition and are transferable between homologous molecular systems.
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Affiliation(s)
- Ryan J MacDonell
- Department of Chemistry and Biomolecular Sciences, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada
| | - Serguei Patchkovskii
- Max-Born-Institut für Nichtlineare Optik und Kurzzeitspektroskopie, Max-Born-Straße 2A, 12489 Berlin, Germany
| | - Michael S Schuurman
- Department of Chemistry and Biomolecular Sciences, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada.,National Research Council of Canada, 100 Sussex Drive, Ottawa, Ontario K1A 0R6, Canada
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7
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Mahler AD, Thompson LM. Orbital optimization in nonorthogonal multiconfigurational self-consistent field applied to the study of conical intersections and avoided crossings. J Chem Phys 2021; 154:244101. [PMID: 34241370 DOI: 10.1063/5.0053615] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Nonorthogonal approaches to electronic structure methods have recently received renewed attention, with the hope that new forms of nonorthogonal wavefunction Ansätze may circumvent the computational bottleneck of orthogonal-based methods. The basis in which nonorthogonal configuration interaction is performed defines the compactness of the wavefunction description and hence the efficiency of the method. Within a molecular orbital approach, nonorthogonal configuration interaction is defined by a "different orbitals for different configurations" picture, with different methods being defined by their choice of determinant basis functions. However, identification of a suitable determinant basis is complicated, in practice, by (i) exponential scaling of the determinant space from which a suitable basis must be extracted, (ii) possible linear dependencies in the determinant basis, and (iii) inconsistent behavior in the determinant basis, such as disappearing or coalescing solutions, as a result of external perturbations, such as geometry change. An approach that avoids the aforementioned issues is to allow for basis determinant optimization starting from an arbitrarily constructed initial determinant set. In this work, we derive the equations required for performing such an optimization, extending previous work by accounting for changes in the orthogonality level (defined as the dimension of the orbital overlap kernel between two determinants) as a result of orbital perturbations. The performance of the resulting wavefunction for studying avoided crossings and conical intersections where strong correlation plays an important role is examined.
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Affiliation(s)
- Andrew D Mahler
- Department of Chemistry, University of Louisville, 2320 South Brook Street, Louisville, Kentucky 40292, USA
| | - Lee M Thompson
- Department of Chemistry, University of Louisville, 2320 South Brook Street, Louisville, Kentucky 40292, USA
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8
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Affiliation(s)
- Kazuo Takatsuka
- Fukui Institute for Fundamental Chemistry, Kyoto University, 606-8103 Kyoto, Japan
| | - Yasuki Arasaki
- Fukui Institute for Fundamental Chemistry, Kyoto University, 606-8103 Kyoto, Japan
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9
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Varandas AJC. Extrapolation in quantum chemistry: Insights on energetics and reaction dynamics. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2020. [DOI: 10.1142/s0219633620300013] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Since there is no exact solution for problems in physics and chemistry, extrapolation methods may assume a key role in quantitative quantum chemistry. Two topics where it bears considerable impact are addressed, both at the heart of computational quantum chemistry: electronic structure and reaction dynamics. In the first, the problem of extrapolating the energy obtained by solving the electronic Schrödinger equation to the limit of the complete one-electron basis set is addressed. With the uniform-singlet-and-triplet-extrapolation (USTE) scheme at the focal point, the emphasis is on recent updates covering from the energy itself to other molecular properties. The second topic refers to extrapolation of quantum mechanical reactive scattering probabilities from zero total angular momentum to any of the values that it may assume when running quasiclassical trajectories, QCT/QM-[Formula: see text]J. With the extrapolation guided in both cases by physically motivated asymptotic theories, realism is seeked by avoiding unsecure jumps into the unknown. Although, mostly review oriented, a few issues are addressed for the first time here and there. Prospects for future work conclude the overview.
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Affiliation(s)
- A. J. C. Varandas
- School of Physics and Physical Engineering, Qufu Normal University, Qufu 273165, P. R. China
- Department of Physics, Universidade Federal do Espírito Santo, Vitória 29075-910, Brazil
- Department of Chemistry and Chemistry Centre, University of Coimbra, Coimbra 3004-535, Portugal
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10
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Abstract
![]()
We
introduce a new variant of the complete active space second-order
perturbation theory (CASPT2) method that performs similarly to multistate
CASPT2 (MS-CASPT2) in regions of the potential energy surface where
the electronic states are energetically well separated and is akin
to extended MS-CASPT2 (XMS-CASPT2) in case the underlying zeroth-order
references are near-degenerate. Our approach follows a recipe analogous
to that of XMS-CASPT2 to ensure approximate invariance under unitary
transformations of the model states and a dynamic weighting scheme
to smoothly interpolate the Fock operator between state-specific and
state-average regimes. The resulting extended dynamically weighted
CASPT2 (XDW-CASPT2) methodology possesses the most desirable features
of both MS-CASPT2 and XMS-CASPT2, that is, the ability to provide
accurate transition energies and correctly describe avoided crossings
and conical intersections. The reliability of XDW-CASPT2 is assessed
on a number of molecular systems. First, we consider the dissociation
of lithium fluoride, highlighting the distinctive characteristics
of the new approach. Second, the invariance of the theory is investigated
by studying the conical intersection of the distorted allene molecule.
Finally, the relative accuracy in the calculation of vertical excitation
energies is benchmarked on a set of 26 organic compounds. We found
that XDW-CASPT2, albeit being only approximately invariant, produces
smooth potential energy surfaces around conical intersections and
avoided crossings, performing equally well to the strictly invariant
XMS-CASPT2 method. The accuracy of vertical transition energies is
almost identical to MS-CASPT2, with a mean absolute deviation of 0.01–0.02
eV, in contrast to 0.12 eV for XMS-CASPT2.
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Affiliation(s)
- Stefano Battaglia
- Department of Chemistry-BMC, Uppsala University, P.O. Box 576, SE-75123 Uppsala, Sweden
| | - Roland Lindh
- Department of Chemistry-BMC, Uppsala University, P.O. Box 576, SE-75123 Uppsala, Sweden
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11
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Naumkin FY, Wales DJ. Counterion-Trapped-Molecules: From High Polarity and Enriched IR Spectra to Induced Isomerization. Chemphyschem 2020; 21:348-355. [PMID: 31944545 DOI: 10.1002/cphc.201901112] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/20/2019] [Revised: 12/12/2019] [Indexed: 12/25/2022]
Abstract
We report extensive computational studies of some novel intermolecular systems and their properties. Recombination of alkali-halide counterions separated by a noncovalently trapped hydrocarbon molecule is prevented by significant potential energy barriers, resulting in unusual metastable insertion complexes. These systems are extremely polar, while the inserted molecule is strongly counter-polarized, leading to significant cooperative nonadditivity effects. The compression and electric field produced by the counterions favours isomerization of the trapped molecule via a significant reduction of the barriers to bond rearrangement, in a field-induced mechanochemical process. The predicted IR intensity spectra clearly reflect (1) formation of the insertion complex, rather than simple attachment of alkali halide, and (2) isomerization of the trapped molecule, thus allowing experimental access to these events.
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Affiliation(s)
- Fedor Y Naumkin
- On sabbatical leave from Faculty of Science, UOIT, /Ontario Tech University, Oshawa, L1G 0C5, Canada
| | - David J Wales
- Department of Chemistry, University of Cambridge, Cambridge, CB2 1EW, United Kingdom
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12
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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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13
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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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14
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Varandas AJC. CBS extrapolation of Hartree-Fock energy: Pople and Dunning basis sets hand-to-hand on the endeavour. Phys Chem Chem Phys 2019; 21:8022-8034. [PMID: 30932108 DOI: 10.1039/c8cp07847e] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The Hartree-Fock (HF) energy is shown to be extrapolatable from subminimal, minimal, and extended basis sets. Unprecedentedly, it can be reliably extrapolated to the complete basis set limit (CBS) from as small as Pople's STO-2G up to the largest aug-cc-pVXZ basis sets of Dunning's correlation-consistent type and even more complete variants of such ansatzes. The approach is tested on a panoply of small, medium and large molecular systems. As a case study, extrapolation is shown to be particularly reliable and cost-effective (typically an order of magnitude more economical for similar accuracy) when employing a hybrid (STO-2G,extended) basis set pair. The additional cost relative to a single-point calculation with the extended basis set is of no significance. After training the novel scheme with a meager set of 18 systems (TS-18), four test sets covering from neutrals (TS-105) to neutrals plus cations (TS-26) and anions (TS-17), these involving up to third-row elements, as well as tetrapeptide conformers (TS-10) were utilized for its validation. Although the answer to the question of whether all basis sets converge to the same HF/CBS limit is a clear yes, that of whether they show the same convergence rate is open, an issue also examined in the present work. For systems involving atoms up to the second-row of the periodic table the answer seems to be a clear yes, at least when using correlation-consistent basis sets, but it is shown to be a no when the study is extended to anionic systems containing third-row elements. For the latter, augmented correlation consistent basis sets display a faster, perhaps optimal, convergence rate. The implications of this in practice can hardly be anticipated. For example, it cannot be predicted a priori which of such basis sets will yield the best relative energies for those anions, although a logical expectation suggests it to be the augmented ones which turn out to display the fastest convergence. As a blind-test type illustration, the novel scheme is applied to the conformational analysis of 2 tetrapeptides with 5 conformers each, using from subminimal up to extended basis sets as large as cc-pV5Z and aug-cc-pVQZ. The (STO-2G,extended) results so obtained are predicted to be in very good agreement with the best data reported thus far.
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Affiliation(s)
- A J C Varandas
- School of Physics and Physical Engineering, Qufu Normal University, 273165 Qufu, China
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15
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Matsuzaki R, Takatsuka K. Electronic and nuclear fluxes induced by quantum interference in the adiabatic and nonadiabatic dynamics in the Born-Huang representation. J Chem Phys 2019; 150:014103. [DOI: 10.1063/1.5066571] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Rei Matsuzaki
- Fukui Institute for Fundamental Chemistry, Kyoto University, Sakyo-ku, Kyoto 606-8103, Japan
| | - Kazuo Takatsuka
- Fukui Institute for Fundamental Chemistry, Kyoto University, Sakyo-ku, Kyoto 606-8103, Japan
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16
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Robertson C, González-Vázquez J, Corral I, Díaz-Tendero S, Díaz C. Nonadiabatic scattering of NO off Au3
clusters: A simple and robust diabatic state manifold generation method for multiconfigurational wavefunctions. J Comput Chem 2018; 40:794-810. [DOI: 10.1002/jcc.25764] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/20/2018] [Revised: 10/28/2018] [Accepted: 11/01/2018] [Indexed: 01/19/2023]
Affiliation(s)
- Christopher Robertson
- Department of Chemistry and Centre for Scientific Computing; University Of Warwick, CV4 7AL; Coventry United Kingdom
| | - Jesús González-Vázquez
- Departamento de Química Módulo 13; Universidad Autónoma de Madrid, 28049; Madrid Spain
- Institute for Advanced Research in Chemistry (IAdChem); Universidad Autónoma de Madrid, 28049; Madrid Spain
| | - Ines Corral
- Institute for Advanced Research in Chemistry (IAdChem); Universidad Autónoma de Madrid, 28049; Madrid Spain
- Departamento de Química Módulo 13; Universidad Autónoma de Madrid, 28049; Madrid Spain
| | - Sergio Díaz-Tendero
- Condensed Matter Physics Center (IFIMAC); Universidad Autónoma de Madrid, 28049; Madrid Spain
- Departamento de Química Módulo 13; Universidad Autónoma de Madrid, 28049; Madrid Spain
- Institute for Advanced Research in Chemistry (IAdChem); Universidad Autónoma de Madrid, 28049; Madrid Spain
| | - Cristina Díaz
- Departamento de Química Módulo 13; Universidad Autónoma de Madrid, 28049; Madrid Spain
- Institute for Advanced Research in Chemistry (IAdChem); Universidad Autónoma de Madrid, 28049; Madrid Spain
- Condensed Matter Physics Center (IFIMAC); Universidad Autónoma de Madrid, 28049; Madrid Spain
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17
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Matsuzaki R, Takatsuka K. Electronic and nuclear flux analysis on nonadiabatic electron transfer reaction: A view from single-configuration adiabatic born-huang representation. J Comput Chem 2018; 40:148-163. [DOI: 10.1002/jcc.25557] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/26/2018] [Revised: 07/16/2018] [Accepted: 07/24/2018] [Indexed: 12/13/2022]
Affiliation(s)
- Rei Matsuzaki
- Fukui Institute for Fundamental Chemistry; Kyoto University; Sakyou-ku Kyoto Japan
| | - Kazuo Takatsuka
- Fukui Institute for Fundamental Chemistry; Kyoto University; Sakyou-ku Kyoto Japan
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18
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Tóth A, Badankó P, Halász GJ, Vibók Á, Csehi A. Importance of the lowest-lying Π electronic state in the photodissociation dynamics of LiF. Chem Phys 2018. [DOI: 10.1016/j.chemphys.2018.05.002] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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19
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Karton A. Post-CCSD(T) contributions to total atomization energies in multireference systems. J Chem Phys 2018; 149:034102. [DOI: 10.1063/1.5036795] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Amir Karton
- School of Molecular Sciences, The University of Western Australia, Perth, Western Australia 6009, Australia
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20
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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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21
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Li C, Evangelista FA. Driven similarity renormalization group for excited states: A state-averaged perturbation theory. J Chem Phys 2018; 148:124106. [DOI: 10.1063/1.5019793] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Chenyang Li
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
| | - Francesco A. Evangelista
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
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22
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Komarova KG, Remacle F, Levine RD. Propagation of nonstationary electronic and nuclear states: attosecond dynamics in LiF. Mol Phys 2018. [DOI: 10.1080/00268976.2018.1451932] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
Affiliation(s)
- Ksenia G. Komarova
- The Fritz Haber Center for Molecular Dynamics and Institute of Chemistry, The Hebrew University of Jerusalem , Jerusalem, Israel
| | - F. Remacle
- The Fritz Haber Center for Molecular Dynamics and Institute of Chemistry, The Hebrew University of Jerusalem , Jerusalem, Israel
- Theoretical Physical Chemistry, UR MolSys B6c, Université de Liège , Liège, Belgium
| | - R. D. Levine
- The Fritz Haber Center for Molecular Dynamics and Institute of Chemistry, The Hebrew University of Jerusalem , Jerusalem, Israel
- Department of Molecular and Medical Pharmacology, David Geffen School of Medicine and Department of Chemistry and Biochemistry, University of California , Los Angeles, CA, USA
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23
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Practical and reliable approximation of nonadiabatic coupling terms between triplet electronic states using only adiabatic potential energies. Chem Phys Lett 2018. [DOI: 10.1016/j.cplett.2018.02.036] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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24
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Varga Z, Parker KA, Truhlar DG. Direct diabatization based on nonadiabatic couplings: the N/D method. Phys Chem Chem Phys 2018; 20:26643-26659. [DOI: 10.1039/c8cp03410a] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We propose a new diabatization method that is direct, orbital-free, and adiabatic-equivalent based on directly calculated nonadiabatic couplings of states and the adiabatic energy gradients.
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Affiliation(s)
- Zoltan Varga
- Department of Chemistry
- Chemical Theory Center, and Minnesota Supercomputing Institute
- University of Minnesota
- Minneapolis
- USA
| | - Kelsey A. Parker
- Department of Chemistry
- Chemical Theory Center, and Minnesota Supercomputing Institute
- University of Minnesota
- Minneapolis
- USA
| | - Donald G. Truhlar
- Department of Chemistry
- Chemical Theory Center, and Minnesota Supercomputing Institute
- University of Minnesota
- Minneapolis
- USA
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25
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Schriber JB, Evangelista FA. Adaptive Configuration Interaction for Computing Challenging Electronic Excited States with Tunable Accuracy. J Chem Theory Comput 2017; 13:5354-5366. [DOI: 10.1021/acs.jctc.7b00725] [Citation(s) in RCA: 56] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Jeffrey B. Schriber
- Department of Chemistry and
Cherry L. Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, United States
| | - Francesco A. Evangelista
- Department of Chemistry and
Cherry L. Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, United States
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26
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Extrapolation of Hartree–Fock and multiconfiguration self-consistent-field energies to the complete basis set limit. Theor Chem Acc 2016. [DOI: 10.1007/s00214-016-2016-4] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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27
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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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28
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29
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Li SL, Truhlar DG, Schmidt MW, Gordon MS. Model space diabatization for quantum photochemistry. J Chem Phys 2015; 142:064106. [DOI: 10.1063/1.4907038] [Citation(s) in RCA: 41] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Shaohong L. Li
- Department of Chemistry, Chemical Theory Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | - Donald G. Truhlar
- Department of Chemistry, Chemical Theory Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | | | - Mark S. Gordon
- Department of Chemistry, Iowa State University, Ames, Iowa 50011, USA
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30
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Wan MJ, Huang DH, Yang JS, Cao QL, Jin CG, Wang FH. Low-lying electronic states of LiF molecule with inner electrons correlation. Mol Phys 2015. [DOI: 10.1080/00268976.2014.993735] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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31
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Rolik Z, Kállay M. A quasiparticle-based multi-reference coupled-cluster method. J Chem Phys 2014; 141:134112. [DOI: 10.1063/1.4896703] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Zoltán Rolik
- MTA-BME “Lendület” Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, H-1521 Budapest, Hungary
| | - Mihály Kállay
- MTA-BME “Lendület” Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, H-1521 Budapest, Hungary
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32
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Boguslawski K, Tecmer P, Limacher PA, Johnson PA, Ayers PW, Bultinck P, De Baerdemacker S, Van Neck D. Projected seniority-two orbital optimization of the antisymmetric product of one-reference orbital geminal. J Chem Phys 2014; 140:214114. [PMID: 24907997 DOI: 10.1063/1.4880820] [Citation(s) in RCA: 58] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/02/2023] Open
Affiliation(s)
- Katharina Boguslawski
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, 1280 Main Street West, Ontario L8S 4M1, Canada
| | - Paweł Tecmer
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, 1280 Main Street West, Ontario L8S 4M1, Canada
| | - Peter A. Limacher
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, 1280 Main Street West, Ontario L8S 4M1, Canada
| | - Paul A. Johnson
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, 1280 Main Street West, Ontario L8S 4M1, Canada
| | - Paul W. Ayers
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, 1280 Main Street West, Ontario L8S 4M1, Canada
| | - Patrick Bultinck
- Department of Inorganic and Physical Chemistry, Ghent University, Krijgslaan 281 (S3), 9000 Gent, Belgium
| | - Stijn De Baerdemacker
- Center for Molecular Modelling, Ghent University, Technologiepark 903, 9052 Gent, Belgium
| | - Dimitri Van Neck
- Center for Molecular Modelling, Ghent University, Technologiepark 903, 9052 Gent, Belgium
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33
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Coe JP, Paterson MJ. State-averaged Monte Carlo configuration interaction applied to electronically excited states. J Chem Phys 2013; 139:154103. [DOI: 10.1063/1.4824888] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
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34
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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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35
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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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36
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Lei Y, Wang Y, Han H, Song Q, Suo B, Wen Z. New implementation of the configuration-based multi-reference second order perturbation theory. J Chem Phys 2012; 137:144102. [DOI: 10.1063/1.4757264] [Citation(s) in RCA: 14] [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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37
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Gozem S, Schapiro I, Ferre N, Olivucci M. The Molecular Mechanism of Thermal Noise in Rod Photoreceptors. Science 2012; 337:1225-8. [DOI: 10.1126/science.1220461] [Citation(s) in RCA: 89] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
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38
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Varandas AJC. Ab Initio Treatment of Bond-Breaking Reactions: Accurate Course of HO3 Dissociation and Revisit to Isomerization. J Chem Theory Comput 2012; 8:428-41. [DOI: 10.1021/ct200773b] [Citation(s) in RCA: 45] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- A. J. C. Varandas
- Departamento de Química,
Universidade de Coimbra,
3004-535 Coimbra, Portugal
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39
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Mao S, Cheng L, Liu W, Mukherjee D. A spin-adapted size-extensive state-specific multi-reference perturbation theory with various partitioning schemes. II. Molecular applications. J Chem Phys 2012; 136:024106. [DOI: 10.1063/1.3672085] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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40
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Ab Initio Composite Approaches. ACTA ACUST UNITED AC 2012. [DOI: 10.1016/b978-0-444-59440-2.00002-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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41
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Scheit S, Arasaki Y, Takatsuka K. Controlled Dynamics at an Avoided Crossing Interpreted in Terms of Dynamically Fluctuating Potential Energy Curves. J Phys Chem A 2011; 116:2644-53. [DOI: 10.1021/jp2071919] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023]
Affiliation(s)
- Simona Scheit
- Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, Komaba, 153-8902 Tokyo, Japan
| | - Yasuki Arasaki
- Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, Komaba, 153-8902 Tokyo, Japan
| | - Kazuo Takatsuka
- Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, Komaba, 153-8902 Tokyo, Japan
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42
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Varandas AJC. Erratum: “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 nonadiabatic coupling” [J. Chem. Phys. 131, 124128 (2009)]. J Chem Phys 2011. [DOI: 10.1063/1.3641404] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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43
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Shiozaki T, Győrffy W, Celani P, Werner HJ. Communication: Extended multi-state complete active space second-order perturbation theory: Energy and nuclear gradients. J Chem Phys 2011; 135:081106. [DOI: 10.1063/1.3633329] [Citation(s) in RCA: 298] [Impact Index Per Article: 22.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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44
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Alguire E, Subotnik JE. Diabatic couplings for charge recombination via Boys localization and spin-flip configuration interaction singles. J Chem Phys 2011; 135:044114. [DOI: 10.1063/1.3615493] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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45
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Hanauer M, Köhn A. Pilot applications of internally contracted multireference coupled cluster theory, and how to choose the cluster operator properly. J Chem Phys 2011; 134:204111. [DOI: 10.1063/1.3592786] [Citation(s) in RCA: 141] [Impact Index Per Article: 10.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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46
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Rao TR, Mahapatra S. Nuclear motion on the orbitally degenerate electronic ground state of fully deuterated triatomic hydrogen. J Chem Phys 2011; 134:204307. [DOI: 10.1063/1.3593392] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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47
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Shiozaki T, Werner HJ. Explicitly correlated multireference configuration interaction with multiple reference functions: Avoided crossings and conical intersections. J Chem Phys 2011; 134:184104. [DOI: 10.1063/1.3587632] [Citation(s) in RCA: 86] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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48
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49
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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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50
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Send R, Furche F. First-order nonadiabatic couplings from time-dependent hybrid density functional response theory: Consistent formalism, implementation, and performance. J Chem Phys 2010; 132:044107. [DOI: 10.1063/1.3292571] [Citation(s) in RCA: 179] [Impact Index Per Article: 12.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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