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Bhattacharyya D, Ramesh SG. Wavepacket dynamical study of H-atom tunneling in catecholate monoanion: the role of intermode couplings and energy flow. Phys Chem Chem Phys 2023; 25:1923-1936. [PMID: 36541267 DOI: 10.1039/d2cp03803j] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Abstract
We present a study of H-atom tunneling in catecholate monoanion through wavepacket dynamical simulations. In our earlier study of this symmetrical double-well system [Phys. Chem. Chem. Phys., 2022, 24, 10887], a limited number of transition state modes were identified as being important for the tunneling process. These include the imaginary frequency mode Q1, the CO scissor mode Q10, and the OHO bending mode Q29. In this work, starting from non-stationary initial states prepared with excitations in these modes, we have carried out wavepacket dynamics in two and three dimensional spaces. We analyse the dynamical effects of the intermode couplings, in particular the role of energy flow between the studied modes on H-atom tunneling. We find that while Q10 strongly modulates the donor-acceptor distance, it does not exchange energy with Q1. However, excitation in Q29 or Q1 does lead to rapid energy exchange between these modes, which modifies the tunneling rate at early times.
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Affiliation(s)
- Debabrata Bhattacharyya
- Department of Inorganic and Physical Chemistry, Indian Institute of Science, Bangalore, 560012, India.
| | - Sai G Ramesh
- Department of Inorganic and Physical Chemistry, Indian Institute of Science, Bangalore, 560012, India.
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2
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Bhattacharyya D, Ramesh SG. Multidimensional H-atom tunneling in the catecholate monoanion. Phys Chem Chem Phys 2022; 24:10887-10905. [PMID: 35451429 DOI: 10.1039/d1cp04590c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We present the catecholate monoanion as a new model system for the study of multidimensional tunneling. It has a symmetrical O-H double-well structure, and the H atom motion between the two wells is coupled to both low and high frequency modes with different strengths. With a view to studying mode-specific tunneling in the catecholate monoanion, we have developed a full (33) dimensional potential energy surface in transition state (TS) normal modes using a Distributed Gaussian Empirical Valence Bond (DGEVB) based approach. We have computed eigenstates in different subspaces using both unrelaxed and relaxed potentials based on the DGEVB model. With unrelaxed potentials, we present results up to 7D subspaces that include the imaginary frequency mode and six modes coupled to it. With relaxed potentials, we focus on the two most important coupling modes. The structures of the ground and vibrationally excited eigenstates are discussed for both approaches and mode-specific tunneling splitting and their trends are presented.
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Affiliation(s)
- Debabrata Bhattacharyya
- Department of Inorganic and Physical Chemistry, Indian Institute of Science, Bangalore 560012, India.
| | - Sai G Ramesh
- Department of Inorganic and Physical Chemistry, Indian Institute of Science, Bangalore 560012, India.
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3
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Rožić T, Hochlaf M, Ben Said R, Došlić N. A Computational Approach to Nontraditional Intrinsic Luminescence: Vibrationally Resolved Absorption and Fluorescence Spectra of DABCO. J Phys Chem A 2022; 126:1094-1102. [PMID: 35168330 DOI: 10.1021/acs.jpca.1c09256] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Recently, so-called "nontraditional intrinsic luminescence" has been reported in several macromolecular systems. Although DABCO (1,4-diazabicyclo[2.2.2]octane) is the first system in which the effect was observed, a thorough analysis of the optical properties of the molecule, which would reveal the origin of this mysterious effect, is still pending. We perform an advanced post-Hartree-Fock treatment of the low-lying electronic states of this molecule, which need to be described with care because of their pronounced Rydberg character. We take a deeper look into the low-lying electronic transitions of DABCO targeting the explanation of the complex vibronic structures of its absorption and fluorescence spectra. Two electronic states, the 1E'(n+3pxy) and 1A2″(n+3pz) states, contribute to the absorption spectrum in the 39000-46000 cm-1 spectral range. We also reveal the spectroscopic signature of the 1A2″(n+3pz) state. The analyses of the contributions of individual vibrational normal modes allowed the identification of those giving rise to the complex vibronic structures of the spectra. Fluorescence emission arises from the vibronic coupling of the one-photon forbidden transition between the 1A1'(n+3s) state and the electronic ground state. The spectrum, which can be interpreted in terms of populating a few vibrational normal modes, is shifted toward visible wavelengths mostly due to the forced interaction of the lone pair electrons of the two nitrogen atoms. Our work on DABCO may help to rationalize the luminescence of more complex systems containing tertiary amine groups.
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Affiliation(s)
- Tomislav Rožić
- Nano-Science Center & Department of Chemistry, University of Copenhagen, Universitetsparken 5, 2100 København Ø, Denmark
| | - Majdi Hochlaf
- COSYS/LISIS, Université Gustave Eiffel, 5 Bd Descartes 77454, Champs sur Marne, France
| | - Ridha Ben Said
- Chemistry Department, College of Science and Arts at ArRass, Qassim University, PO Box 53, Ar Rass 51921, Saudi Arabia
| | - Nađa Došlić
- Department of Physical Chemistry, R. Bošković Institute, Bijenička 54, 10000 Zagreb, Croatia
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4
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Tikhonov DS. A simplistic computational procedure for tunneling splittings caused by proton transfer. Struct Chem 2021. [DOI: 10.1007/s11224-021-01845-4] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Abstract
AbstractIn this manuscript, we present an approach for computing tunneling splittings for large amplitude motions. The core of the approach is a solution of an effective one-dimensional Schrödinger equation with an effective mass and an effective potential energy surface composed of electronic and harmonic zero-point vibrational energies of small amplitude motions in the molecule. The method has been shown to work in cases of three model motions: nitrogen inversion in ammonia, single proton transfer in malonaldehyde, and double proton transfer in the formic acid dimer. In the current work, we also investigate the performance of different DFT and post-Hartree–Fock methods for prediction of the proton transfer tunneling splittings, quality of the effective Schrödinger equation parameters upon the isotopic substitution, and possibility of a complete basis set (CBS) extrapolation for the resulting tunneling splittings.
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Eraković M, Cvitaš MT. Tunneling splittings of vibrationally excited states using general instanton paths. J Chem Phys 2020; 153:134106. [PMID: 33032414 DOI: 10.1063/5.0024210] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023] Open
Abstract
A multidimensional semiclassical method for calculating tunneling splittings in vibrationally excited states of molecules using Cartesian coordinates is developed. It is an extension of the theory by Mil'nikov and Nakamura [J. Chem. Phys. 122, 124311 (2005)] to asymmetric paths that are necessary for calculating tunneling splitting patterns in multi-well systems, such as water clusters. Additionally, new terms are introduced in the description of the semiclassical wavefunction that drastically improves the splitting estimates for certain systems. The method is based on the instanton theory and builds the semiclassical wavefunction of the vibrationally excited states from the ground-state instanton wavefunction along the minimum action path and its harmonic neighborhood. The splittings of excited states are thus obtained at a negligible added numerical effort. The cost is concentrated, as for the ground-state splittings, in the instanton path optimization and the hessian evaluation along the path. The method can thus be applied without modification to many mid-sized molecules in full dimensionality and in combination with on-the-fly evaluation of electronic potentials. The tests were performed on several model potentials and on the water dimer.
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Affiliation(s)
- Mihael Eraković
- Department of Physical Chemistry, Ruder Bošković Institute, Bijenička Cesta 54, 10000 Zagreb, Croatia
| | - Marko T Cvitaš
- Department of Physical Chemistry, Ruder Bošković Institute, Bijenička Cesta 54, 10000 Zagreb, Croatia
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Abstract
AbstractFormic acid dimer as the prototypical doubly hydrogen-bonded gas-phase species is discussed from the perspective of the three translational and the three rotational degrees of freedom which are lost when two formic acid molecules form a stable complex. The experimental characterisation of these strongly hindered translations and rotations is reviewed, as are attempts to describe the associated fundamental vibrations, their combinations, and their thermal shifts by different electronic structure calculations and vibrational models. A remarkable match is confirmed for the combination of a CCSD(T)-level harmonic treatment and an MP2-level anharmonic VPT2 correction. Qualitatively correct thermal shifts of the vibrational spectra can be obtained from classical molecular dynamics in CCSD(T)-quality force fields. A detailed analysis suggests that this agreement between experiment and composite theoretical treatment is not strongly affected by fortuitous error cancellation but fully converged variational treatments of the six pair or intermolecular modes and their overtones and combinations in this model system would be welcome.
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Liu H, Cao J, Bian W. Double Proton Transfer in the Dimer of Formic Acid: An Efficient Quantum Mechanical Scheme. Front Chem 2019; 7:676. [PMID: 31750286 PMCID: PMC6842929 DOI: 10.3389/fchem.2019.00676] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/19/2019] [Accepted: 09/30/2019] [Indexed: 11/13/2022] Open
Abstract
Double proton transfer plays an important role in biology and chemistry, such as with DNA base pairs, proteins and molecular clusters, and direct information about these processes can be obtained from tunneling splittings. Carboxylic acid dimers are prototypes for multiple proton transfer, of which the formic acid dimer is the simplest one. Here, we present efficient quantum dynamics calculations of ground-state and fundamental excitation tunneling splittings in the formic acid dimer and its deuterium isotopologues. These are achieved with a multidimensional scheme developed by us, in which the saddle-point normal coordinates are chosen, the basis functions are customized for the proton transfer process, and the preconditioned inexact spectral transform method is used to solve the resultant eigenvalue problem. Our computational results are in excellent agreement with the most recent experiments (Zhang et al., 2017; Li et al., 2019).
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Affiliation(s)
- Hao Liu
- Beijing National Laboratory for Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Beijing, China.,School of Chemical Sciences, University of Chinese Academy of Sciences, Beijing, China
| | - Jianwei Cao
- Beijing National Laboratory for Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Beijing, China
| | - Wensheng Bian
- Beijing National Laboratory for Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Beijing, China.,School of Chemical Sciences, University of Chinese Academy of Sciences, Beijing, China
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Qu C, Bowman JM. Quantum approaches to vibrational dynamics and spectroscopy: is ease of interpretation sacrificed as rigor increases? Phys Chem Chem Phys 2019; 21:3397-3413. [DOI: 10.1039/c8cp04990d] [Citation(s) in RCA: 25] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Abstract
The subject of this Perspective is quantum approaches, beyond the harmonic approximation, to vibrational dynamics and IR spectroscopy.
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Affiliation(s)
- Chen Qu
- Department of Chemistry and Cherry L. Emerson Center for Scientific Computation, Emory University
- Atlanta
- USA
| | - Joel M. Bowman
- Department of Chemistry and Cherry L. Emerson Center for Scientific Computation, Emory University
- Atlanta
- USA
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Qu C, Bowman JM. High-dimensional fitting of sparse datasets of CCSD(T) electronic energies and MP2 dipole moments, illustrated for the formic acid dimer and its complex IR spectrum. J Chem Phys 2018; 148:241713. [DOI: 10.1063/1.5017495] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Chen Qu
- Cherry L. Emerson Center for Scientific Computation and Department of Chemistry, Emory University, Atlanta, Georgia 30322, USA
| | - Joel M. Bowman
- Cherry L. Emerson Center for Scientific Computation and Department of Chemistry, Emory University, Atlanta, Georgia 30322, USA
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Qu C, Bowman J. Quantum and classical IR spectra of (HCOOH)2, (DCOOH)2 and (DCOOD)2 using ab initio potential energy and dipole moment surfaces. Faraday Discuss 2018; 212:33-49. [DOI: 10.1039/c8fd00077h] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023]
Abstract
Full-dimensional (24 modes) quantum calculation of the IR spectrum of (DCOOD)2, and comparison with classical MD one.
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Affiliation(s)
- Chen Qu
- Department of Chemistry
- Cherry L. Emerson Center for Scientific Computations
- Emory University
- Atlanta
- USA
| | - Joel M. Bowman
- Department of Chemistry
- Cherry L. Emerson Center for Scientific Computations
- Emory University
- Atlanta
- USA
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Zauleck JPP, de Vivie-Riedle R. Constructing Grids for Molecular Quantum Dynamics Using an Autoencoder. J Chem Theory Comput 2017; 14:55-62. [DOI: 10.1021/acs.jctc.7b01045] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Julius P. P. Zauleck
- Department Chemie, Ludwig-Maximilians-Universität München, D-81377 München, Germany
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12
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Richardson JO. Full- and reduced-dimensionality instanton calculations of the tunnelling splitting in the formic acid dimer. Phys Chem Chem Phys 2017; 19:966-970. [DOI: 10.1039/c6cp07808g] [Citation(s) in RCA: 36] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Nearly all degrees of freedom need to be included for accurate theoretical predictions of quantum dynamics.
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Zauleck JPP, Thallmair S, Loipersberger M, de Vivie-Riedle R. Two New Methods To Generate Internal Coordinates for Molecular Wave Packet Dynamics in Reduced Dimensions. J Chem Theory Comput 2016; 12:5698-5708. [PMID: 27951675 DOI: 10.1021/acs.jctc.6b00800] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The curse of dimensionality still remains as the central challenge of molecular quantum dynamical calculations. Either compromises on the accuracy of the potential landscape have to be made or methods must be used that reduce the dimensionality of the configuration space of molecular systems to a low dimensional one. For dynamic approaches such as grid-based wave packet dynamics that are confined to a small number of degrees of freedom this dimensionality reduction can become a major part of the overall problem. A common strategy to reduce the configuration space is by selection of a set of internal coordinates using chemical intuition. We devised two methods that increase the degree of automation of the dimensionality reduction as well as replace chemical intuition by more quantifiable criteria. Both methods reduce the dimensionality linearly and use the intrinsic reaction coordinate as guidance. The first one solely relies on the intrinsic reaction coordinate (IRC), whereas the second one uses semiclassical trajectories to identify the important degrees of freedom.
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Affiliation(s)
- Julius P P Zauleck
- Department Chemie, Ludwig-Maximilians-Universität München , D-81377 München, Germany
| | - Sebastian Thallmair
- Department Chemie, Ludwig-Maximilians-Universität München , D-81377 München, Germany
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Fillaux F, Cousson A. A neutron diffraction study of the crystal of benzoic acid from 6 to 293 K and a macroscopic-scale quantum theory of the lattice of hydrogen-bonded dimers. Chem Phys 2016. [DOI: 10.1016/j.chemphys.2016.09.016] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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15
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Qu C, Bowman JM. An ab initio potential energy surface for the formic acid dimer: zero-point energy, selected anharmonic fundamental energies, and ground-state tunneling splitting calculated in relaxed 1–4-mode subspaces. Phys Chem Chem Phys 2016; 18:24835-24840. [DOI: 10.1039/c6cp03073d] [Citation(s) in RCA: 59] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We report a full-dimensional, permutationally invariant potential energy surface (PES) for the cyclic formic acid dimer.
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Affiliation(s)
- Chen Qu
- Department of Chemistry and Cherry L. Emerson Center for Scientific Computation
- Emory University
- Atlanta
- USA
| | - Joel M. Bowman
- Department of Chemistry and Cherry L. Emerson Center for Scientific Computation
- Emory University
- Atlanta
- USA
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16
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Mackenzie RB, Dewberry CT, Leopold KR. The Formic Acid–Nitric Acid Complex: Microwave Spectrum, Structure, and Proton Transfer. J Phys Chem A 2014; 118:7975-85. [DOI: 10.1021/jp507060w] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Affiliation(s)
- Rebecca B. Mackenzie
- Department of Chemistry, University of Minnesota, 207 Pleasant
Street, SE, Minneapolis, Minnesota 55455, United States
| | - Christopher T. Dewberry
- Department of Chemistry, University of Minnesota, 207 Pleasant
Street, SE, Minneapolis, Minnesota 55455, United States
| | - Kenneth R. Leopold
- Department of Chemistry, University of Minnesota, 207 Pleasant
Street, SE, Minneapolis, Minnesota 55455, United States
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Novak J, Mališ M, Prlj A, Ljubić I, Kühn O, Došlić N. Photoinduced Dynamics of Formic Acid Monomers and Dimers: The Role of the Double Hydrogen Bond. J Phys Chem A 2012; 116:11467-75. [DOI: 10.1021/jp3074865] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Jurica Novak
- Rudjer Bošković Institute, 10000 Zagreb, Croatia
| | - Momir Mališ
- Rudjer Bošković Institute, 10000 Zagreb, Croatia
| | - Antonio Prlj
- Faculty of Science, University of Zagreb, 10000 Zagreb, Croatia
| | - Ivan Ljubić
- Rudjer Bošković Institute, 10000 Zagreb, Croatia
| | - Oliver Kühn
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - Nađa Došlić
- Rudjer Bošković Institute, 10000 Zagreb, Croatia
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18
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Saritha B, Durga Prasad M. An Electronic Structure Perspective of the Promoter Modes in Proton Transfer Reactions. J Phys Chem A 2011; 115:2802-10. [DOI: 10.1021/jp108579t] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- B. Saritha
- School of Chemistry, University of Hyderabad, Hyderabad 500046, India
| | - M. Durga Prasad
- School of Chemistry, University of Hyderabad, Hyderabad 500046, India
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Petković M, Novak J, Došlić N. Shaping the infrared spectrum of the acetic acid dimer in the OH-stretching range: Multiple conformers and anharmonic coupling. Chem Phys Lett 2009. [DOI: 10.1016/j.cplett.2009.04.014] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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20
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Affiliation(s)
- Özgür Birer
- Present address: Department of Chemistry, Koç University, Rumelifeneri Yolu, 34450 Sariyer Istanbul, Turkey
| | - Martina Havenith
- Department of Physical Chemistry II, Ruhr-University Bochum, Universitätsstraße 150, D-44780 Bochum, Germany;
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Mališ M, Matanović I, Došlić N. A Computational Study of Electronic and Spectroscopic Properties of Formic Acid Dimer Isotopologues. J Phys Chem A 2009; 113:6034-40. [DOI: 10.1021/jp901067u] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Affiliation(s)
- M. Mališ
- Department of Physical Chemistry, R. Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia
| | - I. Matanović
- Department of Physical Chemistry, R. Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia
| | - N. Došlić
- Department of Physical Chemistry, R. Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia
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22
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Barnes GL, Sibert EL. The effects of asymmetric motions on the tunneling splittings in formic acid dimer. J Chem Phys 2008; 129:164317. [DOI: 10.1063/1.3000102] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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23
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Barnes GL, Sibert EL. Elucidating energy disposal pathways following excitation of the symmetric OH stretching band in formic acid dimer. Chem Phys Lett 2008. [DOI: 10.1016/j.cplett.2008.05.090] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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