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Quintas-Sánchez E, Dawes R, Lee K, McCarthy MC. Automated Construction of Potential Energy Surfaces Suitable to Describe van der Waals Complexes with Highly Excited Nascent Molecules: The Rotational Spectra of Ar-CS( v) and Ar-SiS( v). J Phys Chem A 2020; 124:4445-4454. [PMID: 32368913 DOI: 10.1021/acs.jpca.0c02685] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Some reactions produce extremely hot nascent products which nevertheless can form sufficiently long-lived van der Waals (vdW) complexes-with atoms or molecules from a bath gas-as to be observed via microwave spectroscopy. Theoretical calculations of such unbound resonance states can be much more challenging than ordinary bound-state calculations depending on the approach employed. One encounters not just the floppy, and perhaps multiwelled potential energy surface (PES) characteristic of vdWs complexes, but in addition, one must contend with excitation of the intramolecular modes and its corresponding influence on the PES. Straightforward computation of the (resonance) rovibrational levels of interest, involves the added complication of the unbound nature of the wave function, often treated with techniques such as introducing a complex absorbing potential. Here, we have demonstrated that a simplified approach of making a series of vibrationally effective PESs for the intermolecular coordinates-one for each reaction product vibrational quantum number of interest-can produce vdW levels for the complex with spectroscopic accuracy. This requires constructing a series of appropriately weighted lower-dimensional PESs for which we use our freely available PES-fitting code AUTOSURF. The applications of this study are the Ar-CS and Ar-SiS complexes, which are isovalent to Ar-CO and Ar-SiO, the latter of which we considered in a previously reported study. Using a series of vibrationally effective PESs, rovibrational levels and predicted microwave transition frequencies for both complexes were computed variationally. A series of shifting rotational transition frequencies were also computed as a function of the diatom vibrational quantum number. The predicted transitions were used to guide and inform an experimental effort to make complementary observations. Comparisons are given for the transitions that are within the range of the spectrometer and were successfully recorded. Calculations of the rovibrational level pattern agree to within 0.2% with experimental measurements.
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Affiliation(s)
- Ernesto Quintas-Sánchez
- Department of Chemistry, Missouri University of Science and Technology, Rolla, Missouri 65409, United States
| | - Richard Dawes
- Department of Chemistry, Missouri University of Science and Technology, Rolla, Missouri 65409, United States
| | - Kelvin Lee
- Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, United States
| | - Michael C McCarthy
- Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, United States.,School of Engineering and Applied Sciences, Harvard University, 29 Oxford Street, Cambridge, Massachusetts 02138, United States
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2
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Felker PM, Lauvergnat D, Scribano Y, Benoit DM, Bačić Z. Intramolecular stretching vibrational states and frequency shifts of (H2)2 confined inside the large cage of clathrate hydrate from an eight-dimensional quantum treatment using small basis sets. J Chem Phys 2019; 151:124311. [DOI: 10.1063/1.5124051] [Citation(s) in RCA: 20] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Peter M. Felker
- Department of Chemistry and Biochemistry, University of California, Los Angeles, California 90095-1569, USA
| | - David Lauvergnat
- Laboratoire de Chimie Physique, UMR-CNRS 8000, Université de Paris-Sud, Orsay F-91405, France
| | - Yohann Scribano
- Laboratoire Univers et Particule de Montpellier, Université de Montpellier, UMR-CNRS 5299, 34095 Montpellier Cedex, France
| | - David M. Benoit
- Department of Physics and Mathematics, E. A. Milne Centre for Astrophysics and G. W. Gray Centre for Advanced Materials, The University of Hull, Cottingham Road, Kingston upon Hull HU6 7RX, United Kingdom
| | - Zlatko Bačić
- Department of Chemistry, New York University, New York, New York 10003, USA
- NYU-ECNU Center for Computational Chemistry at NYU Shanghai, 3663 Zhongshan Road North, Shanghai 200062, China
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Lauvergnat D, Felker P, Scribano Y, Benoit DM, Bačić Z. H2, HD, and D2in the small cage of structure II clathrate hydrate: Vibrational frequency shifts from fully coupled quantum six-dimensional calculations of the vibration-translation-rotation eigenstates. J Chem Phys 2019; 150:154303. [DOI: 10.1063/1.5090573] [Citation(s) in RCA: 21] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- David Lauvergnat
- Laboratoire de Chimie Physique, UMR-CNRS 8000, Université de Paris-Sud, Orsay F-91405, France
| | - Peter Felker
- Department of Chemistry and Biochemistry, University of California, Los Angeles, California 90095-1569, USA
| | - Yohann Scribano
- Laboratoire Univers et Particules de Montpellier, Université de Montpellier, UMR-CNRS 5299, 34095 Montpellier Cedex, France
| | - David M. Benoit
- Department of Physics and Mathematics, E.A. Milne Centre for Astrophysics and G. W. Gray Centre for Advanced Materials, The University of Hull, Cottingham Road, Kingston upon Hull HU6 7RX, United Kingdom
| | - Zlatko Bačić
- Department of Chemistry, New York University, New York, New York 10003, USA
- NYU-ECNU Center for Computational Chemistry at NYU Shanghai, 3663 Zhongshan Road North, Shanghai, 200062, China
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Powers A, Scribano Y, Lauvergnat D, Mebe E, Benoit DM, Bačić Z. The effect of the condensed-phase environment on the vibrational frequency shift of a hydrogen molecule inside clathrate hydrates. J Chem Phys 2018; 148:144304. [DOI: 10.1063/1.5024884] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Anna Powers
- Department of Chemistry, New York University, New York, New York 10003, USA
| | - Yohann Scribano
- Laboratoire Univers et Particules de Montpellier, Université de Montpellier, LUPM-UMR CNRS 5299, 34095 Montpellier Cedex, France
| | - David Lauvergnat
- Laboratoire de Chimie Physique UMR CNRS 8000-Université de Paris-Sud, Orsay F-91405, France
| | - Elsy Mebe
- Laboratoire de Chimie Physique UMR CNRS 8000-Université de Paris-Sud, Orsay F-91405, France
| | - David M. Benoit
- E.A. Milne Centre for Astrophysics & G.W. Gray Centre for Advanced Materials, Chemistry, The University of Hull, Cottingham Road, Kingston upon Hull HU6 7RX, United Kingdom
| | - Zlatko Bačić
- Department of Chemistry, New York University, New York, New York 10003, USA
- NYU-ECNU Center for Computational Chemistry at NYU Shanghai, 3663 Zhongshan Road North, Shanghai 200062, China
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Pitsevich G, Malevich A, Kozlovskaya E, Shalamberidze E, Doroshenko I, Pogorelov V, Mahnach E, Sapeshko V, Balevicius V. MP4 study of the multimode coupling in protonated water dimer. J Mol Struct 2017. [DOI: 10.1016/j.molstruc.2017.03.022] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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6
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Pham T, Forrest KA, Space B, Eckert J. Dynamics of H2 adsorbed in porous materials as revealed by computational analysis of inelastic neutron scattering spectra. Phys Chem Chem Phys 2016; 18:17141-58. [DOI: 10.1039/c6cp01863g] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
This perspective article reviews the different types of quantum and classical mechanical methods that have been implemented to interpret the INS spectra for H2 adsorbed in porous materials.
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Affiliation(s)
- Tony Pham
- Department of Chemistry
- University of South Florida
- Tampa
- USA
| | | | - Brian Space
- Department of Chemistry
- University of South Florida
- Tampa
- USA
| | - Juergen Eckert
- Department of Chemistry
- University of South Florida
- Tampa
- USA
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Xu M, Ye S, Lawler R, Turro NJ, Bačić Z. HD in C₆₀: theoretical prediction of the inelastic neutron scattering spectrum and its temperature dependence. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2013; 371:20110630. [PMID: 23918712 DOI: 10.1098/rsta.2011.0630] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/02/2023]
Abstract
We report rigorous quantum calculations of the inelastic neutron scattering (INS) spectra of HD@C₆₀, over a range of temperatures from 0 to 240 K and for two incident neutron wavelengths used in recent experimental investigations. The computations were performed using our newly developed methodology, which incorporates the coupled five-dimensional translation-rotation (T-R) eigenstates of the guest molecule as the initial and final states of the INS transitions, and yields highly detailed spectra. Depending on the incident neutron wavelength, the number of computed INS transitions varies from almost 500 to over 2000. The low-temperature INS spectra display the fingerprints of the coupling between the translational and rotational motions of the entrapped HD molecule, which is responsible for the characteristic splitting patterns of the T-R energy levels. INS transitions from the ground T-R state of HD to certain sublevels of excited T-R multiplets have zero intensity and are absent from the spectra. This surprising finding is explained by the new INS selection rule introduced here. The calculated spectra exhibit strong temperature dependence. As the temperature increases, numerous new peaks appear, arising from the transitions originating in excited T-R states which become populated. Our calculations show that the higher temperature features typically comprise two or more transitions close in energy and with similar intensities, interspersed with numerous other transitions whose intensities are negligible. This implies that accurately calculated energies and intensities of INS transitions which our methodology provides will be indispensable for reliable interpretation and assignment of the experimental spectra of HD@C₆₀ and related systems at higher temperatures.
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Affiliation(s)
- Minzhong Xu
- Department of Chemistry, New York University, New York, NY 10003, USA
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Xu M, Ye S, Powers A, Lawler R, Turro NJ, Bačić Z. Inelastic neutron scattering spectrum of H2@C60 and its temperature dependence decoded using rigorous quantum calculations and a new selection rule. J Chem Phys 2013; 139:064309. [DOI: 10.1063/1.4817534] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Matanović I, Belof JL, Space B, Sillar K, Sauer J, Eckert J, Bačić Z. Hydrogen adsorbed in a metal organic framework-5: Coupled translation-rotation eigenstates from quantum five-dimensional calculations. J Chem Phys 2012; 137:014701. [DOI: 10.1063/1.4730906] [Citation(s) in RCA: 40] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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10
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Ye S, Xu M, Bačić Z, Lawler R, Turro NJ. Quantum Dynamics of a Hydrogen Molecule Inside an Anisotropic Open-Cage Fullerene: Coupled Translation-Rotation Eigenstates and Comparison with Inelastic Neutron Scattering Spectroscopy. J Phys Chem A 2010; 114:9936-47. [DOI: 10.1021/jp104367j] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Shufeng Ye
- State Key Laboratory of Precision Spectroscopy and Department of Physics, Institute of Theoretical and Computational Science, East China Normal University, Shanghai 200062, China, Department of Chemistry, New York University, New York, New York 10003, Department of Chemistry, Brown University, Providence, Rhode Island 02912, and Department of Chemistry, Columbia University, New York, New York 10027
| | - Minzhong Xu
- State Key Laboratory of Precision Spectroscopy and Department of Physics, Institute of Theoretical and Computational Science, East China Normal University, Shanghai 200062, China, Department of Chemistry, New York University, New York, New York 10003, Department of Chemistry, Brown University, Providence, Rhode Island 02912, and Department of Chemistry, Columbia University, New York, New York 10027
| | - Zlatko Bačić
- State Key Laboratory of Precision Spectroscopy and Department of Physics, Institute of Theoretical and Computational Science, East China Normal University, Shanghai 200062, China, Department of Chemistry, New York University, New York, New York 10003, Department of Chemistry, Brown University, Providence, Rhode Island 02912, and Department of Chemistry, Columbia University, New York, New York 10027
| | - Ronald Lawler
- State Key Laboratory of Precision Spectroscopy and Department of Physics, Institute of Theoretical and Computational Science, East China Normal University, Shanghai 200062, China, Department of Chemistry, New York University, New York, New York 10003, Department of Chemistry, Brown University, Providence, Rhode Island 02912, and Department of Chemistry, Columbia University, New York, New York 10027
| | - Nicholas J. Turro
- State Key Laboratory of Precision Spectroscopy and Department of Physics, Institute of Theoretical and Computational Science, East China Normal University, Shanghai 200062, China, Department of Chemistry, New York University, New York, New York 10003, Department of Chemistry, Brown University, Providence, Rhode Island 02912, and Department of Chemistry, Columbia University, New York, New York 10027
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11
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Matanović I, Xu M, Moskowitz JW, Eckert J, Bačić Z. Methane molecule confined in the small and large cages of structure I clathrate hydrate: Quantum six-dimensional calculations of the coupled translation-rotation eigenstates. J Chem Phys 2009; 131:224308. [DOI: 10.1063/1.3268623] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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12
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Xu M, Sebastianelli F, Gibbons BR, Bačić Z, Lawler R, Turro NJ. Coupled translation-rotation eigenstates of H2 in C60 and C70 on the spectroscopically optimized interaction potential: Effects of cage anisotropy on the energy level structure and assignments. J Chem Phys 2009; 130:224306. [DOI: 10.1063/1.3152574] [Citation(s) in RCA: 66] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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13
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Xu M, Sebastianelli F, Bačić Z. Coupled Translation−Rotation Eigenstates of H2, HD, and D2 in the Large Cage of Structure II Clathrate Hydrate: Comparison with the Small Cage and Rotational Raman Spectroscopy. J Phys Chem A 2009; 113:7601-9. [DOI: 10.1021/jp901951k] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Minzhong Xu
- Department of Chemistry, New York University, New York, New York 10003
| | | | - Zlatko Bačić
- Department of Chemistry, New York University, New York, New York 10003
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14
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Xu M, Sebastianelli F, Bačić Z, Lawler R, Turro NJ. H2, HD, and D2 inside C60: Coupled translation-rotation eigenstates of the endohedral molecules from quantum five-dimensional calculations. J Chem Phys 2008; 129:064313. [DOI: 10.1063/1.2967858] [Citation(s) in RCA: 74] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
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15
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Xu M, Sebastianelli F, Bačić Z. Quantum dynamics of H2, D2, and HD in the small dodecahedral cage of clathrate hydrate: Evaluating H2-water nanocage interaction potentials by comparison of theory with inelastic neutron scattering experiments. J Chem Phys 2008; 128:244715. [DOI: 10.1063/1.2945895] [Citation(s) in RCA: 64] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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16
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Xu M, Sebastianelli F, Bačić Z, Lawler R, Turro NJ. Quantum dynamics of coupled translational and rotational motions of H2 inside C60. J Chem Phys 2008; 128:011101. [DOI: 10.1063/1.2828556] [Citation(s) in RCA: 71] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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17
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Xu M, Sebastianelli F, Bačić Z. Hydrogen Molecule in the Small Dodecahedral Cage of a Clathrate Hydrate: Quantum Translation−Rotation Dynamics at Higher Excitation Energies. J Phys Chem A 2007; 111:12763-71. [DOI: 10.1021/jp076296d] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Minzhong Xu
- Department of Chemistry, New York University, New York, New York 10003
| | | | - Zlatko Bačić
- Department of Chemistry, New York University, New York, New York 10003
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18
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Xu M, Bacić Z. Wave function delocalization and large-amplitude vibrations of helium on corrugated aromatic microsurfaces: tetracene.He and pentacene.He van der Waals complexes. J Phys Chem A 2007; 111:7653-63. [PMID: 17530836 DOI: 10.1021/jp072218e] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We report accurate quantum three-dimensional calculations of highly excited intermolecular vibrational states of the van der Waals (vdW) complexes tetracene.He and pentacene.He in the S1 excited electronic state. The aromatic molecules were taken to be rigid and the intermolecular potential energy surfaces (IPESs) were modeled as a sum of atom-atom Lennard-Jones pair potentials. The IPESs are corrugated in the direction of the long (x) axis of the aromatic molecules, due to the presence of the symmetrically equivalent global double minimum for tetracene.He, and a triple minimum (central global minimum and two equivalent local minima) for pentacene.He, on each side of the aromatic plane. Both IPESs have two additional minor equivalent local minima further away from the center of the molecule. The vdW vibrational states analyzed in this work cover about 80% of the well depths of the IPESs. The mode coupling is generally weak for those states whose out-of-plane (z) mode is unexcited. However, the z-mode fundamental is strongly coupled to the short-axis (y) in-plane mode, so that the pure z-mode excitation could not be identified. The He atom exhibits large in-plane spatial delocalizaton already in the ground vdW vibrational state, which increases rapidly upon the excitation of the in-plane x and y modes, with little hindrance by the corrugation of the aromatic microsurfaces. For the vdW vibrational energies considered, the He atom spatial delocalization reaches Deltax and Deltay values of approximately 5 and 4 A, respectively, and is limited only by the finite size of the aromatic substrates. Side-crossing delocalization of the wave functions on both sides of the molecular plane is found at excitation energies >30 cm(-1), giving rise to the energy splittings of the pairs of states symmetric/antisymmetric with respect to the aromatic plane; the splittings show strong vdW vibrational mode specificity.
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Affiliation(s)
- Minzhong Xu
- Department of Chemistry, New York University, New York, New York 10003, USA
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19
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Xie D, Ran H, Zhou Y. Potential energy surfaces and predicted infrared spectra for van der Waals complexes: dependence on one intramolecular vibrational coordinate. INT REV PHYS CHEM 2007. [DOI: 10.1080/01442350701437926] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Sebastianelli F, Xu M, Kanan DK, Bacić Z. One and Two Hydrogen Molecules in the Large Cage of the Structure II Clathrate Hydrate: Quantum Translation−Rotation Dynamics Close to the Cage Wall. J Phys Chem A 2007; 111:6115-21. [PMID: 17583332 DOI: 10.1021/jp073259d] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We have performed a rigorous theoretical study of the quantum translation-rotation (T-R) dynamics of one and two H2 and D2 molecules confined inside the large hexakaidecahedral (5(12)6(4)) cage of the sII clathrate hydrate. For a single encapsulated H2 and D2 molecule, accurate quantum five-dimensional calculations of the T-R energy levels and wave functions are performed that include explicitly, as fully coupled, all three translational and the two rotational degrees of freedom of the hydrogen molecule, while the cage is taken to be rigid. In addition, the ground-state properties, energetics, and spatial distribution of one and two p-H2 and o-D2 molecules in the large cage are calculated rigorously using the diffusion Monte Carlo method. These calculations reveal that the low-energy T-R dynamics of hydrogen molecules in the large cage are qualitatively different from that inside the small cage, studied by us recently. This is caused by the following: (i) The large cage has a cavity whose diameter is about twice that of the small cage for the hydrogen molecule. (ii) In the small cage, the potential energy surface (PES) for H2 is essentially flat in the central region, while in the large cage the PES has a prominent maximum at the cage center, whose height exceeds the T-R zero-point energy of H2/D2. As a result, the guest molecule is excluded from the central part of the large cage, its wave function localized around the off-center global minimum. Peculiar quantum dynamics of the hydrogen molecule squeezed between the central maximum and the cage wall manifests in the excited T-R states whose energies and wave functions differ greatly from those for the small cage. Moreover, they are sensitive to the variations in the hydrogen-bonding topology, which modulate the corrugation of the cage wall.
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Xu M, Elmatad YS, Sebastianelli F, Moskowitz JW, Bacić Z. Hydrogen Molecule in the Small Dodecahedral Cage of a Clathrate Hydrate: Quantum Five-Dimensional Calculations of the Coupled Translation−Rotation Eigenstates. J Phys Chem B 2006; 110:24806-11. [PMID: 17149897 DOI: 10.1021/jp066437w] [Citation(s) in RCA: 79] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Abstract
We report quantum five-dimensional (5D) calculations of the energy levels and wave functions of the hydrogen molecule, para-H2 and ortho-H2, confined inside the small dodecahedral (H2O)20 cage of the sII clathrate hydrate. All three translational and the two rotational degrees of freedom of H2 are included explicitly, as fully coupled, while the cage is treated as rigid. The 5D potential energy surface (PES) of the H2-cage system is pairwise additive, based on the high-quality ab initio 5D (rigid monomer) PES for the H2-H2O complex. The bound state calculations involve no dynamical approximations and provide an accurate picture of the quantum 5D translation-rotation dynamics of H2 inside the cage. The energy levels are assigned with translational (Cartesian) and rotational quantum numbers, based on calculated root-mean-square displacements and probability density plots. The translational modes exhibit negative anharmonicity. It is found that j is a good rotational quantum number, while the threefold degeneracy of the j = 1 level is lifted completely. There is considerable translation-rotation coupling, particularly for excited translational states.
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Jiang H, Xu M, Hutson JM, Bacić Z. ArnHF van der Waals clusters revisited: II. Energetics and HF vibrational frequency shifts from diffusion Monte Carlo calculations on additive and nonadditive potential-energy surfaces for n=1-12. J Chem Phys 2005; 123:054305. [PMID: 16108637 DOI: 10.1063/1.1991856] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The ground-state energies and HF vibrational frequency shifts of Ar(n)HF clusters have been calculated on the nonadditive potential-energy surfaces (PESs) for n=2-7 and on the pairwise-additive PESs for the clusters with n=1-12, using the diffusion Monte Carlo (DMC) method. For n>3, the calculations have been performed for the lowest-energy isomer and several higher-lying isomers which are the closest in energy. They provide information about the isomer dependence of the HF redshift, and enable direct comparison with the experimental data recently obtained in helium nanodroplets. The agreement between theory and experiment is excellent, in particular, for the nonadditive DMC redshifts. The relative, incremental redshifts are reproduced accurately even at the lower level of theory, i.e., the DMC and quantum five-dimensional (rigid Ar(n)) calculations on the pairwise-additive PESs. The nonadditive interactions make a significant contribution to the frequency shift, on the order of 10%-12%, and have to be included in the PESs in order for the theory to yield accurate magnitude of the HF redshift. The energy gaps between the DMC ground states of the cluster isomers are very different from the energy separation of their respective minima on the PES, due to the considerable variations in the intermolecular zero-point energy of different Ar(n)HF isomers.
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Affiliation(s)
- Hao Jiang
- Department of Chemistry, New York University, New York, New York 10003, USA
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23
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Mitroy J, Ovsiannikov VD. Generating van der Waals coefficients to arbitrary orders of the atom–atom interaction. Chem Phys Lett 2005. [DOI: 10.1016/j.cplett.2005.06.092] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Jiang H, Bacić Z. HF in clusters of molecular hydrogen. I. Size evolution of quantum solvation by parahydrogen molecules. J Chem Phys 2005; 122:244306. [PMID: 16035756 DOI: 10.1063/1.1927528] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We present a theoretical study of the quantum solvation of the HF molecule by a small number of parahydrogen molecules, having n = 1-13 solvent particles. The minimum-energy cluster structures determined for n = 1-12 have all of the H(2) molecules in the first solvent shell. The first solvent shell closes at n = 12 and its geometry is icosahedral, with the HF molecule at the center. The quantum-mechanical ground-state properties of the clusters are calculated exactly using the diffusion Monte Carlo method. The zero-point energy of (p-H(2))(n)HF clusters is unusually large, amounting to 86% of the potential well depth for n > 7. The radial probability distribution functions (PDFs) confirm that the first solvent shell is complete for n = 12, and that the 13th p-H(2) molecule begins to fill the second solvent shell. The p-H(2) molecules execute large-amplitude motions and are highly mobile, making the solvent cage exceptionally fluxional. The anisotropy of the solvent, very pronounced for small clusters, decreases rapidly with increasing n, so that for n approximately 8-9 the solvent environment is practically isotropic. The analysis of the pair angular PDF reveals that for a given n, the parahydrogen solvent density around the HF is modulated in a pattern which clearly reflects the lowest-energy cluster configuration. The rigidity of the solvent clusters displays an interesting size dependence, increasing from n = 6 to 9, becoming floppier for n = 10, and increasing again up to n = 12, as the solvent shell is filled. The rigidity of the solvent cage appears to reach its maximum for n = 12, the point at which the first solvent shell is closed.
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Affiliation(s)
- Hao Jiang
- Department of Chemistry, New York University, New York, 10003, USA
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25
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Russo MF, Curotto E. Stereographic projections path integral for inertia ellipsoids: Applications to Arn–HF clusters. J Chem Phys 2004; 120:2110-21. [PMID: 15268349 DOI: 10.1063/1.1636694] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The DeWitt formula for inertia ellipsoids mapped by stereographic projection coordinates is developed. We discover that by remapping the quaternion parameter space with stereographic projections, considerable simplification of the differential geometry for the inertia ellipsoid with spherical symmetry takes place. The metric tensor is diagonal and contains only one independent element in that case. We find no difficulties testing and implementing the DeWitt formula for the inertia ellipsoids of asymmetric tops mapped by stereographic projections. The path integral algorithm for the treatment of Rm x S2 manifolds based on a mixture of Cartesian and stereographic projection coordinates is tested for small Arn-HF clusters in the n = 2 to n = 5 range. In particular, we determine the quantum effects of the red shift and the isomerization patterns at finite temperatures. Our findings are consistent with previously reported computations and experimental data for small Arn-HF clusters.
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Affiliation(s)
- M F Russo
- Department of Chemistry and Physics, Arcadia University, Glenside, Pennsylvania 19038, USA
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Skone JH, Curotto E. Canonical parallel tempering simulations of Arn–HF clusters (n=1→12): Thermodynamic properties and the redshift as a function of temperature. J Chem Phys 2002. [DOI: 10.1063/1.1503305] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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27
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Xu M, Bačić Z, Hutson JM. Clusters containing open-shell molecules. III. Quantum five-dimensional/two-surface bound-state calculations on ArnOH van der Waals clusters (X2Π, n=4 to 12). J Chem Phys 2002. [DOI: 10.1063/1.1497967] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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28
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Xu M, Bačić Z, Hutson JM. Clusters containing open-shell molecules. II. Equilibrium structures of ArnOH Van der Waals clusters (X2Π, n=1 to 15). J Chem Phys 2002. [DOI: 10.1063/1.1497966] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Moskowitz JW, Bačić Z, Sarsa A, Schmidt KE. Relative stabilities of the two isomers of the methanol-water dimer: The effects of the internal rotations of the hydroxyl and methyl groups of methanol. J Chem Phys 2001. [DOI: 10.1063/1.1373694] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Curotto E. The HF stretch red shift as a function of internal energy in Ar[sub n]–HF (n=12,54): Comparisons in the microcanonical ensemble. J Chem Phys 2001. [DOI: 10.1063/1.1349088] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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32
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Nauta K, Miller RE. Infrared spectroscopy and structures of Ar[sub n]–HF in liquid helium nanodroplets. J Chem Phys 2001. [DOI: 10.1063/1.1392378] [Citation(s) in RCA: 52] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Aguado AM, Curotto E. On the finite temperature red shift in Ar12–HF: can isomerizations in clusters be observed by spectroscopy? Chem Phys Lett 2000. [DOI: 10.1016/s0009-2614(00)01111-8] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Ghayal MR, Curotto E. The melting of Ar54–HF: A canonical parallel tempering simulation. J Chem Phys 2000. [DOI: 10.1063/1.1288190] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022] Open
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35
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Experimental and theoretical challenges in the chemistry of noncovalent intermolecular interaction and clustering. ACTA ACUST UNITED AC 2000. [DOI: 10.1016/s0166-1280(00)00388-2] [Citation(s) in RCA: 49] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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36
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Bahel A, Bačić Z. Six-dimensional quantum treatment of the vibrations of diatomic adsorbates on solid surfaces: CO on Cu(100). J Chem Phys 1999. [DOI: 10.1063/1.480494] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Hutson JM, Liu S, Moskowitz JW, Bačić Z. Nonadditive intermolecular forces in Arn–HF van der Waals clusters: Effects on the HF vibrational frequency shift. J Chem Phys 1999. [DOI: 10.1063/1.480179] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Silvi B, Wieczorek R, Latajka Z, Alikhani ME, Dkhissi A, Bouteiller Y. Critical analysis of the calculated frequency shifts of hydrogen-bonded complexes. J Chem Phys 1999. [DOI: 10.1063/1.480038] [Citation(s) in RCA: 54] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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39
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Ghayal MR, Curotto E. Core to surface exchange and the melting of Ar12–HF (η=0); A j-walking-molecular-dynamics simulation. J Chem Phys 1999. [DOI: 10.1063/1.479821] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [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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Interplay of electric field effects and vibrational polarization in ArnHF clusters. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)00491-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Wang YS, Chang HC, Jiang JC, Lin SH, Lee YT, Chang HC. Structures and Isomeric Transitions of NH4+(H2O)3-6: From Single to Double Rings. J Am Chem Soc 1998. [DOI: 10.1021/ja9802908] [Citation(s) in RCA: 101] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Yih-Sheng Wang
- Contribution from the Department of Chemistry, National Taiwan University, Taipei, Taiwan 106, R.O.C., and Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, R.O.C
| | - Hai-Chou Chang
- Contribution from the Department of Chemistry, National Taiwan University, Taipei, Taiwan 106, R.O.C., and Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, R.O.C
| | - Jyh-Chiang Jiang
- Contribution from the Department of Chemistry, National Taiwan University, Taipei, Taiwan 106, R.O.C., and Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, R.O.C
| | - Sheng H. Lin
- Contribution from the Department of Chemistry, National Taiwan University, Taipei, Taiwan 106, R.O.C., and Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, R.O.C
| | - Yuan T. Lee
- Contribution from the Department of Chemistry, National Taiwan University, Taipei, Taiwan 106, R.O.C., and Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, R.O.C
| | - Huan-Cheng Chang
- Contribution from the Department of Chemistry, National Taiwan University, Taipei, Taiwan 106, R.O.C., and Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106, R.O.C
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van Mourik T, Dunning TH. Ab initio characterization of the structure and energetics of the ArHF complex. J Chem Phys 1997. [DOI: 10.1063/1.475148] [Citation(s) in RCA: 51] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
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Anderson DT, Davis S, Nesbitt DJ. Sequential solvation of HCl in argon: High resolution infrared spectroscopy of ArnHCl (n=1,2,3). J Chem Phys 1997. [DOI: 10.1063/1.474458] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Affiliation(s)
- Timothy S. Zwier
- Department of Chemistry, Purdue University, West Lafayette, Indiana 47907-1393
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Vibrational line shifts of hydrogen halides in a rare gas environment: HF/DF and HC1/DC1 in Ar matrices and clusters. Chem Phys Lett 1996. [DOI: 10.1016/0009-2614(96)00718-x] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Niyaz P, Bačić Z, Moskowitz JW, Schmidt KE. ArnHF (n = 1–4) van der Waals clusters: a quantum Monte Carlo study of ground state energies, structures and HF vibrational frequency shifts. Chem Phys Lett 1996. [DOI: 10.1016/s0009-2614(96)00124-8] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Olthof EHT, Avoird AVD, Wormer PES. Vibration and rotation of CO in C60 and predicted infrared spectrum. J Chem Phys 1996. [DOI: 10.1063/1.470809] [Citation(s) in RCA: 34] [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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Schröder T, Schinke R, Liu S, Bac̆ić Z, Moskowitz JW. Photodissociation of HF in ArnHF (n=1–14,54) van der Waals clusters: Effects of the solvent cluster size on the solute fragmentation dynamics. J Chem Phys 1995. [DOI: 10.1063/1.470034] [Citation(s) in RCA: 43] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023] Open
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