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Albert S, Bauerecker S, Bekhtereva ES, Bolotova IB, Hollenstein H, Quack M, Ulenikov ON. High resolution FTIR spectroscopy of fluoroform 12CHF3 and critical analysis of the infrared spectrum from 25 to 1500 cm−1. Mol Phys 2018. [DOI: 10.1080/00268976.2017.1392628] [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]
Affiliation(s)
- S. Albert
- Physical Chemistry, ETH-Zürich, Zürich, Switzerland
| | - S. Bauerecker
- Physical Chemistry, ETH-Zürich, Zürich, Switzerland
- Institut für Physikalische und Theoretische Chemie, Technische Universität Braunschweig, Braunschweig, Germany
| | - E. S. Bekhtereva
- Physical Chemistry, ETH-Zürich, Zürich, Switzerland
- Institute of Physics and Technology, National Research Tomsk Polytechnic University, Tomsk, Russia
| | | | | | - M. Quack
- Physical Chemistry, ETH-Zürich, Zürich, Switzerland
| | - O. N. Ulenikov
- Physical Chemistry, ETH-Zürich, Zürich, Switzerland
- Institute of Physics and Technology, National Research Tomsk Polytechnic University, Tomsk, Russia
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2
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Makri N. Communication: Modular path integral: Quantum dynamics via sequential necklace linking. J Chem Phys 2018; 148:101101. [DOI: 10.1063/1.5024411] [Citation(s) in RCA: 28] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Nancy Makri
- Departments of Chemistry and Physics, University of Illinois, Urbana, Illinois 61801, USA
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Albert S, Bekhtereva E, Bolotova I, Chen Z, Fábri C, Hollenstein H, Quack M, Ulenikov O. Isotope effects on the resonance interactions and vibrational quantum dynamics of fluoroform 12,13CHF 3. Phys Chem Chem Phys 2017; 19:26527-26534. [PMID: 28956885 DOI: 10.1039/c7cp04762b] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We report a comparison of the analysis of the low energy spectrum of 13CHF3 and 12CHF3 from the THz (FIR) range to the ν1 fundamental at high resolution (δ[small nu, Greek, tilde] < 0.001 cm-1 or otherwise Doppler limited) on the basis of FTIR spectra taken both with ordinary light sources and with the synchrotron radiation from the Swiss Light Source. Several vibrational levels are accurately determined including, in particular, the 2ν4 CH-bending overtone and the ν1 CH-stretching fundamental of 13CHF3. Comparison of experimental results with those from accurate full dimensional vibrational calculations allows for a study of the time-dependent quantum dynamics of intramolecular vibrational redistribution (IVR) in the CH chromophore both on short time scales (fs) and longer time scales (ps) when coupling to the lower frequency modes becomes important and where the 12C/13C isotope effects are very large.
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Affiliation(s)
- Sieghard Albert
- Physical Chemistry, ETH-Zürich, CH-8093, Zürich, Switzerland.
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Doriol LJ, Gatti F, Iung C, Meyer HD. Computation of vibrational energy levels and eigenstates of fluoroform using the multiconfiguration time-dependent Hartree method. J Chem Phys 2008; 129:224109. [DOI: 10.1063/1.3020716] [Citation(s) in RCA: 101] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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6
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Influence of kinetic coupling in rectilinear coordinates on the vibrational spectrum of fluoroform. Chem Phys Lett 2008. [DOI: 10.1016/j.cplett.2008.10.025] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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7
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Iung C, Pasin G. Variational Calculation of Specific, Highly Excited Vibrational States in DFCO: Comparison with Experimental Data. J Phys Chem A 2007; 111:10426-33. [PMID: 17880188 DOI: 10.1021/jp0734272] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
A stimulated emission pumping spectra of jet-cooled DFCO performed by Crane et al. (J. Mol. Spectrosc. 1997, 183, 273) has provided a great number of ro-vibrational lines up to 9000 cm(-1) of excitation energy. By combining a Jacobi-Wilson (JW) approach with a Davidson scheme, we calculate the lines provided by the experiment up to 9000 cm(-1) using an ab initio global potential energy surface (PES) developed by Kato et al. (J. Chem. Phys. 1997, 107, 6114). Comparisons between experimental and calculated data provide a critical test of the quality of the PES used. We show that the variational calculated energies can be efficiently corrected by taking into account the error observed for the A' fundamental transitions nu(i) (i = 1, ..., 5) and the first overtone 2nu(6). A detailed analysis of the eigenstates obtained by the calculation allows one to quantify the coupling between the different modes. Such an information is essential to understand and predict the energy flow through a DFCO molecule that is initially excited.
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Affiliation(s)
- Christophe Iung
- Equipe de Chimie Théorique, Méthodologies et Modélisation, Institut Gerhardt, UMR 5253 CNRS-UMII-ENSCM, CC 014, Université Montpellier II 34095 Montpellier Cedex 05, France.
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8
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Karlsson HO. Reduced-Order Modeling, Error Estimation, and the Role of the Start-Vector: The Recursive Residue Generation Method Revisited. J Phys Chem A 2007; 111:10263-8. [PMID: 17663534 DOI: 10.1021/jp072647c] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The recursive residue generation method (RRGM) [Wyatt, R. E. Adv. Chem. Phys. 1989, 73, 231] is re-derived using the formalism of reduced-order modeling [Bai, Z. Appl. Numerical Math. 2002, 43, 9]. A stopping criteria for the RRGM recursions is proposed, on the basis of an expression for an upper bound to the absolute error [Bai, Z.; Ye, Q. Electron. Trans. Numerical Anal. 1998, 7, 1]. It is further pointed out that, in general, the start-vector has a negligible effect on the convergence of the RRGM.
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Affiliation(s)
- Hans O Karlsson
- Quantum Chemistry, Department of Physical and Analytical Chemistry, Uppsala University Box 518, SE-751 20 Uppsala, Sweden
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9
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Recursive Solutions to Large Eigenproblems in Molecular Spectroscopy and Reaction Dynamics. REVIEWS IN COMPUTATIONAL CHEMISTRY 2007. [DOI: 10.1002/9780470189078.ch7] [Citation(s) in RCA: 49] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/21/2023]
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10
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Ramesh SG, Sibert EL. Relaxation of the CH stretch in liquid CHBr3: Solvent effects and decay rates using classical nonequilibrium simulations. J Chem Phys 2006; 125:244513. [PMID: 17199361 DOI: 10.1063/1.2403876] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
This article addresses two questions regarding the decay of the CH stretch in liquid CHBr3. The first is whether the initial steps of the relaxation primarily involve energy redistribution within the excited molecule alone. Gas phase quantum mechanical and classical calculations are performed to examine the role of the solvent in this process. At the fundamental excitation level, it is found that CH stretch decay is, in fact, strongly solvent driven. The second question is on the applicability of a fully classical approach to the calculation of CH stretch condensed phase decay rates. To this end, nonequilibrium molecular dynamics simulations are performed. The results are compared with quantum mechanical rates computed previously. The two methods are found to be in fair agreement with each other. However, care must be exercised in the interpretation of the classical results.
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Affiliation(s)
- Sai G Ramesh
- Department of Chemistry, and Theoretical Chemistry Institute, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA
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Sprague MM, Ramesh SG, Sibert EL. Combination of perturbative and variational methods for calculating molecular spectra: Calculation of the υ=3–5 CH stretch overtone spectrum of CHF3. J Chem Phys 2006; 124:114307. [PMID: 16555888 DOI: 10.1063/1.2178297] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023] Open
Abstract
Highly excited states of the CHF3 molecule belonging to the third, fourth, and fifth Fermi polyad are calculated using a combination of the Van Vleck perturbation theory and a variational treatment. The perturbation theory preconditions the Hamiltonian matrix by transforming away all couplings except those between nearly degenerate states. This transformation is implemented so that eigenvalues can be found with significantly smaller matrices than that which would be needed in the original normal mode representation. Even with preconditioning, at the energies as high as 3-5 quanta in the CH stretch, it is not possible to directly diagonalize the Hamiltonian matrix due to the large basis sets required. Iterative methods, particularly the block-Davidson method, are explored for finding the eigenvalues. The methods are compared and the advantages discussed.
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Affiliation(s)
- Megan M Sprague
- Department of Chemistry and Theoretical Chemistry Institute, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA
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12
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Dawes R, Carrington T. How to choose one-dimensional basis functions so that a very efficient multidimensional basis may be extracted from a direct product of the one-dimensional functions: Energy levels of coupled systems with as many as 16 coordinates. J Chem Phys 2005; 122:134101. [PMID: 15847449 DOI: 10.1063/1.1863935] [Citation(s) in RCA: 77] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In this paper we propose a scheme for choosing basis functions for quantum dynamics calculations. Direct product bases are frequently used. The number of direct product functions required to converge a spectrum, compute a rate constant, etc., is so large that direct product calculations are impossible for molecules or reacting systems with more than four atoms. It is common to extract a smaller working basis from a huge direct product basis by removing some of the product functions. We advocate a build and prune strategy of this type. The one-dimensional (1D) functions from which we build the direct product basis are chosen to satisfy two conditions: (1) they nearly diagonalize the full Hamiltonian matrix; (2) they minimize off-diagonal matrix elements that couple basis functions with diagonal elements close to those of the energy levels we wish to compute. By imposing these conditions we increase the number of product functions that can be removed from the multidimensional basis without degrading the accuracy of computed energy levels. Two basic types of 1D basis functions are in common use: eigenfunctions of 1D Hamiltonians and discrete variable representation (DVR) functions. Both have advantages and disadvantages. The 1D functions we propose are intermediate between the 1D eigenfunction functions and the DVR functions. If the coupling is very weak, they are very nearly 1D eigenfunction functions. As the strength of the coupling is increased they resemble more closely DVR functions. We assess the usefulness of our basis by applying it to model 6D, 8D, and 16D Hamiltonians with various coupling strengths. We find approximately linear scaling.
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Affiliation(s)
- Richard Dawes
- Département de Chimie, Université de Montréal, Case Postale 6128, Succursale Centre-ville, Montréal, Québec H3C 3J7, Canada.
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Ramesh SG, Sibert EL. A study of the vibrations of fluoroform with a sixth order nine-dimensional potential: a combined perturbative-variational approach. Mol Phys 2005. [DOI: 10.1080/00268970512331316247] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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14
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Breidung J, Cosléou J, Demaison * J, Sarka K, Thiel W. Ab initioanharmonic force field, molecular parameters, equilibrium structure and enthalpy of formation of fluoroform. Mol Phys 2004. [DOI: 10.1080/00268970412331287089] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Saitow KI, Nakayama H, Ishii K, Nishikawa K. Attractive and Repulsive Intermolecular Interactions of a Polar Molecule: Short-Range Structure of Neat Supercritical CHF3 Investigated by Raman Spectroscopy. J Phys Chem A 2004. [DOI: 10.1021/jp049225c] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]
Affiliation(s)
- Ken-ichi Saitow
- Department of Physics, Faculty of Science, Chiba University, Yayoi, Inage, Chiba 263-8522, Japan
| | - Hideyuki Nakayama
- Department of Chemistry, Faculty of Science, Gakushuin University, Mejiro, Toshima, Tokyo 171-8588, Japan
| | - Kikujiro Ishii
- Department of Chemistry, Faculty of Science, Gakushuin University, Mejiro, Toshima, Tokyo 171-8588, Japan
| | - Keiko Nishikawa
- Division of Diversity Science, Graduate School of Science and Technology, Chiba University, Yayoi, Inage, Chiba 263-8522, Japan
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Iung C, Gatti F, Meyer HD. Intramolecular vibrational energy redistribution in the highly excited fluoroform molecule: A quantum mechanical study using the multiconfiguration time-dependent Hartree algorithm. J Chem Phys 2004; 120:6992-8. [PMID: 15267599 DOI: 10.1063/1.1668639] [Citation(s) in RCA: 39] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The present paper is devoted to a detailed study of the intramolecular vibrational energy redistribution in fluoroform initiated by a local mode excitation of the CH stretch [nnu(CH) (n=1,...,4)]. All nine internal degrees of freedom are explicitly taken into account and the full quantum mechanical simulation is performed by means of the multiconfiguration time-dependent Hartree algorithm. The existence of different time scales considerably complicates the dynamics. The mode-to-mode energy transfer is analyzed by calculating the evolution of the partial energies of all vibrational modes. This study emphasizes the crucial role played by the two-dimensional FCH bending modes which act as an energy reservoir. The fast energy flow into these bending modes significantly hinders an energy flow from the CH chromophore. Finally, our results are compared with those obtained previously with the wave operator sorting algorithm approach.
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Affiliation(s)
- Christophe Iung
- LSDSMS (UMR 5636), CC 014, Université Montpellier II 34095 Montpellier Cedex 05, France
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Marquardt R, Quack M. Global Analytical Potential Hypersurface for Large Amplitude Nuclear Motion and Reactions in Methane II. Characteristic Properties of the Potential and Comparison to Other Potentials and Experimental Information. J Phys Chem A 2004. [DOI: 10.1021/jp037305v] [Citation(s) in RCA: 78] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Roberto Marquardt
- Laboratoire de Chimie Theorique, Université de Marne-la-Vallée, 5 Bd Descartes (Champs-sur-Marne), F-77454 Marne-la-Vallée CEDEX 2, France
| | - Martin Quack
- Physical Chemistry, ETH Zürich, CH-8093 Zürich, Switzerland
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Saitow KI, Otake K, Nakayama H, Ishii K, Nishikawa K. Local density enhancement in neat supercritical fluid due to attractive intermolecular interactions. Chem Phys Lett 2003. [DOI: 10.1016/s0009-2614(02)01851-1] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Marquardt R, Quack M, Thanopulos I. Dynamical Chirality and the Quantum Dynamics of Bending Vibrations of the CH Chromophore in Methane Isotopomers. J Phys Chem A 2000. [DOI: 10.1021/jp994245d] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Roberto Marquardt
- Laboratorium für Physikalische Chemie, ETH-Zürich (Zentrum), 8092 - Zürich, Switzerland
| | - Martin Quack
- Laboratorium für Physikalische Chemie, ETH-Zürich (Zentrum), 8092 - Zürich, Switzerland
| | - Ioannis Thanopulos
- Laboratorium für Physikalische Chemie, ETH-Zürich (Zentrum), 8092 - Zürich, Switzerland
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Wong V, Gruebele M. How Does Vibrational Energy Flow Fill the Molecular State Space? J Phys Chem A 1999. [DOI: 10.1021/jp9919361] [Citation(s) in RCA: 58] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Affiliation(s)
- V. Wong
- Department of Chemistry and Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
| | - M. Gruebele
- Department of Chemistry and Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
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Bigwood R, Gruebele M, Leitner DM, Wolynes PG. The vibrational energy flow transition in organic molecules: theory meets experiment. Proc Natl Acad Sci U S A 1998; 95:5960-4. [PMID: 9600899 PMCID: PMC27567 DOI: 10.1073/pnas.95.11.5960] [Citation(s) in RCA: 83] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023] Open
Abstract
Most large dynamical systems are thought to have ergodic dynamics, whereas small systems may not have free interchange of energy between degrees of freedom. This assumption is made in many areas of chemistry and physics, ranging from nuclei to reacting molecules and on to quantum dots. We examine the transition to facile vibrational energy flow in a large set of organic molecules as molecular size is increased. Both analytical and computational results based on local random matrix models describe the transition to unrestricted vibrational energy flow in these molecules. In particular, the models connect the number of states participating in intramolecular energy flow to simple molecular properties such as the molecular size and the distribution of vibrational frequencies. The transition itself is governed by a local anharmonic coupling strength and a local state density. The theoretical results for the transition characteristics compare well with those implied by experimental measurements using IR fluorescence spectroscopy of dilution factors reported by Stewart and McDonald [Stewart, G. M. & McDonald, J. D. (1983) J. Chem. Phys. 78, 3907-3915].
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Affiliation(s)
- R Bigwood
- Department of Chemistry and Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
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Affiliation(s)
- Izhack Oref
- The author is in the Department of Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel
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Spectroscopy and quantum dynamics of hydrogen fluoride clusters. ACTA ACUST UNITED AC 1998. [DOI: 10.1016/s1063-5467(98)80009-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/07/2023]
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Boyarkin OV, Lubich L, Settle RDF, Perry DS, Rizzo TR. Intramolecular energy transfer in highly vibrationally excited methanol. I. Ultrafast dynamics. J Chem Phys 1997. [DOI: 10.1063/1.475041] [Citation(s) in RCA: 74] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Davis MJ. Investigating intramolecular dynamics: Hierarchical analysis and the topography of energy flow. J Chem Phys 1997. [DOI: 10.1063/1.474812] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
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Maynard A, Wyatt RE, Iung C. A quantum dynamical study of CH overtones in fluoroform. II. Eigenstate analysis of the vCH=1 and vCH=2 regions. J Chem Phys 1997. [DOI: 10.1063/1.473850] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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