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Ranieri U, Del Rosso L, Bove LE, Celli M, Colognesi D, Gaal R, Hansen TC, Koza MM, Ulivi L. Large-cage occupation and quantum dynamics of hydrogen molecules in sII clathrate hydrates. J Chem Phys 2024; 160:164706. [PMID: 38647309 DOI: 10.1063/5.0200867] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/29/2024] [Accepted: 04/05/2024] [Indexed: 04/25/2024] Open
Abstract
Hydrogen clathrate hydrates are ice-like crystalline substances in which hydrogen molecules are trapped inside polyhedral cages formed by the water molecules. Small cages can host only a single H2 molecule, while each large cage can be occupied by up to four H2 molecules. Here, we present a neutron scattering study on the structure of the sII hydrogen clathrate hydrate and on the low-temperature dynamics of the hydrogen molecules trapped in its large cages, as a function of the gas content in the samples. We observe spectral features at low energy transfer (between 1 and 3 meV), and we show that they can be successfully assigned to the rattling motion of a single hydrogen molecule occupying a large water cage. These inelastic bands remarkably lose their intensity with increasing the hydrogen filling, consistently with the fact that the probability of single occupation (as opposed to multiple occupation) increases as the hydrogen content in the sample gets lower. The spectral intensity of the H2 rattling bands is studied as a function of the momentum transfer for partially emptied samples and compared with three distinct quantum models for a single H2 molecule in a large cage: (i) the exact solution of the Schrödinger equation for a well-assessed semiempirical force field, (ii) a particle trapped in a rigid sphere, and (iii) an isotropic three-dimensional harmonic oscillator. The first model provides good agreement between calculations and experimental data, while the last two only reproduce their qualitative trend. Finally, the radial wavefunctions of the three aforementioned models, as well as their potential surfaces, are presented and discussed.
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Affiliation(s)
- Umbertoluca Ranieri
- Centre for Science at Extreme Conditions and School of Physics and Astronomy, University of Edinburgh, EH9 3FD Edinburgh, United Kingdom
- Dipartimento di Fisica, Università di Roma "La Sapienza," I-00185 Rome, Italy
- Center for High Pressure Science and Technology Advanced Research, 1690 Cailun Road, Shanghai 201203, China
| | - Leonardo Del Rosso
- Consiglio Nazionale delle Ricerche, Istituto di Fisica Applicata "Nello Carrara," I-50019 Sesto Fiorentino (FI), Italy
| | - Livia Eleonora Bove
- Dipartimento di Fisica, Università di Roma "La Sapienza," I-00185 Rome, Italy
- Sorbonne Université, UMR, CNRS 7590, Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie (IMPMC), F-75252 Paris, France
- Laboratory of Quantum Magnetism (LQM), École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
| | - Milva Celli
- Consiglio Nazionale delle Ricerche, Istituto di Fisica Applicata "Nello Carrara," I-50019 Sesto Fiorentino (FI), Italy
| | - Daniele Colognesi
- Consiglio Nazionale delle Ricerche, Istituto di Fisica Applicata "Nello Carrara," I-50019 Sesto Fiorentino (FI), Italy
| | - Richard Gaal
- Laboratory of Quantum Magnetism (LQM), École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
| | | | | | - Lorenzo Ulivi
- Consiglio Nazionale delle Ricerche, Istituto di Fisica Applicata "Nello Carrara," I-50019 Sesto Fiorentino (FI), Italy
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2
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Zadeh DH. A new approach to estimate atomic energies. J Mol Model 2019; 25:366. [PMID: 31776795 DOI: 10.1007/s00894-019-4259-1] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/18/2019] [Accepted: 11/12/2019] [Indexed: 12/14/2022]
Abstract
A new approach to estimate atomic energies is introduced. The method is based on utilization of experimental ionization energies as well as conversion of "n-electron atomic systems" to n "one-electron systems." Sample detail calculations are presented with typical graphs to show the distribution of different types of energy within an atom. The breakdown of atomic energies into kinetic, electron-nucleus attraction, and electron-electron repulsion is shown within an atom as well the total of energies of each type for elements. Then in a following step, the variations in kinetic, electron-electron, and electron-nucleus interaction energies of electrons as evidence for atomic shell changes are presented. Furthermore, the article overviews the spatial gaps between orbitals as an added evidence for existence of electronic shells. The findings in this article have significant implications for the structure of atoms and the layout of periodic table. Graphical abstractElectronic energy variations of barium (Ba) for kinetic, electron-electron repulsion, and electron-nucleus energies versus electron number.
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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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5
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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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Benoit DM, Lauvergnat D, Scribano Y. Does cage quantum delocalisation influence the translation–rotational bound states of molecular hydrogen in clathrate hydrate? Faraday Discuss 2018; 212:533-546. [DOI: 10.1039/c8fd00087e] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In this study, we examine the effect of a flexible description of the clathrate hydrate framework on the translation–rotation (TR) eigenstates of guest molecules such as molecular hydrogen.
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Affiliation(s)
- David M. Benoit
- E.A. Milne Centre for Astrophysics
- G.W. Gray Centre for Advanced Materials, Chemistry
- The University of Hull
- UK
| | - David Lauvergnat
- Laboratoire de Chimie Physique
- CNRS
- Univ. Paris-Sud
- Université Paris-Saclay
- Orsay
| | - Yohann Scribano
- Laboratoire Univers et Particules de Montpellier
- UMR-CNRS 5299
- Université de Montpellier
- 34095 Montpellier Cedex
- France
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7
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Alavi S, Ripmeester JA. Simulations of hydrogen gas in clathrate hydrates. MOLECULAR SIMULATION 2017. [DOI: 10.1080/08927022.2017.1295456] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Saman Alavi
- National Research Council of Canada, Ottawa, Canada
- Department of Chemistry and Biomolecular Sciences, University of Ottawa, Ottawa, Canada
| | - John A. Ripmeester
- Department of Chemistry and Biomolecular Sciences, University of Ottawa, Ottawa, Canada
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Powers A, Marsalek O, Xu M, Ulivi L, Colognesi D, Tuckerman ME, Bačić Z. Impact of the Condensed-Phase Environment on the Translation-Rotation Eigenstates and Spectra of a Hydrogen Molecule in Clathrate Hydrates. J Phys Chem Lett 2016; 7:308-313. [PMID: 26727217 DOI: 10.1021/acs.jpclett.5b02611] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
We systematically investigate the manifestations of the condensed-phase environment of the structure II clathrate hydrate in the translation-rotation (TR) dynamics and the inelastic neutron scattering (INS) spectra of an H2 molecule confined in the small dodecahedral cage of the hydrate. The aim is to elucidate the extent to which these properties are affected by the clathrate water molecules beyond the confining cage and the proton disorder of the water framework. For this purpose, quantum calculations of the TR eigenstates and INS spectra are performed for H2 inside spherical clathrate domains of gradually increasing radius and the number of water molecules ranging from 20 for the isolated small cage to more than 1800. For each domain size, several hundred distinct hydrogen-bonding topologies are constructed in order to simulate the effects of the proton disorder. Our study reveals that the clathrate-induced splittings of the j = 1 rotational level and the translational fundamental of the guest H2 are influenced by the condensed-phase environment to a dramatically different degree, the former very strongly and the latter only weakly.
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Affiliation(s)
- Anna Powers
- Department of Chemistry, New York University , New York, New York 10003, United States
| | - Ondrej Marsalek
- Department of Chemistry, New York University , New York, New York 10003, United States
| | - Minzhong Xu
- Department of Chemistry, New York University , New York, New York 10003, United States
| | - Lorenzo Ulivi
- Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi , Via Madonna del Piano 10, I-50019, Sesto Fiorentino, Italy
| | - Daniele Colognesi
- Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi , Via Madonna del Piano 10, I-50019, Sesto Fiorentino, Italy
| | - Mark E Tuckerman
- Department of Chemistry and Courant Institute of Mathematical Sciences, New York University , New York, New York 10003, United States
- NYU-ECNU Center for Computational Chemistry at NYU Shanghai , 3663 Zhongshan Road North, Shanghai, 200062, China
| | - Zlatko Bačić
- Department of Chemistry, New York University , New York, New York 10003, United States
- NYU-ECNU Center for Computational Chemistry at NYU Shanghai , 3663 Zhongshan Road North, Shanghai, 200062, China
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9
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Homayoon Z, Conte R, Qu C, Bowman JM. Full-dimensional, high-level ab initio potential energy surfaces for H2(H2O) and H2(H2O)2 with application to hydrogen clathrate hydrates. J Chem Phys 2015; 143:084302. [DOI: 10.1063/1.4929338] [Citation(s) in RCA: 32] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Zahra Homayoon
- Cherry L. Emerson Center for Scientific Computation and Department of Chemistry, Emory University, Atlanta, Georgia 30322, USA
| | - Riccardo Conte
- Cherry L. Emerson Center for Scientific Computation and Department of Chemistry, Emory University, Atlanta, Georgia 30322, USA
| | - 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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10
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Felker PM. Fully quantal calculation of H2 translation-rotation states in the (p-H2)2@51264 clathrate hydrate inclusion compound. J Chem Phys 2014; 141:184305. [DOI: 10.1063/1.4901057] [Citation(s) in RCA: 11] [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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11
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Plattner N, Meuwly M. The effect of classical and quantum dynamics on vibrational frequency shifts of H2 in clathrate hydrates. J Chem Phys 2014; 140:024311. [DOI: 10.1063/1.4859856] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Nuria Plattner
- Department of Mathematics and Computer Science, Free University Berlin, Arnimallee 6, 14195 Berlin, Germany
| | - Markus Meuwly
- Department of Chemistry, University of Basel, Klingelbergstrasse 80, CH-4056 Basel, Switzerland and Chemistry Department, Brown University, Providence, Rhode Island 02912, USA
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