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Jin S, Fan X, Stamper C, Mole RA, Yu Y, Hong L, Yu D, Baggioli M. On the temperature dependence of the density of states of liquids at low energies. Sci Rep 2024; 14:18805. [PMID: 39138323 PMCID: PMC11322638 DOI: 10.1038/s41598-024-69504-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/24/2024] [Accepted: 08/06/2024] [Indexed: 08/15/2024] Open
Abstract
We report neutron-scattering measurements of the density of states (DOS) of water and liquid Fomblin in a wide range of temperatures. In the liquid phase, we confirm the presence of a universal low-energy linear scaling of the experimental DOS as a function of the frequency, g ( ω ) = a ( T ) ω , which persists at all temperatures. The low-frequency scaling of the DOS exhibits a sharp jump at the melting point of water, below which the standard Debye's law, g ( ω ) ∝ ω 2 , is recovered. On the contrary, in Fomblin, we observe a continuous transition between the two exponents reflecting its glassy dynamics, which is confirmed by structure measurements. More importantly, in both systems, we find that the slope a(T) grows with temperature following an exponential Arrhenius-like form, a ( T ) ∝ exp ( - ⟨ E ⟩ / T ) . We confirm this experimental trend using molecular dynamics simulations and show that the prediction of instantaneous normal mode (INM) theory for a(T) is in qualitative agreement with the experimental data.
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Affiliation(s)
- Sha Jin
- School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
- Wilczek Quantum Center, Shanghai Jiao Tong University, Shanghai, 200240, China
- Shanghai Research Center for Quantum Sciences, Shanghai, 201315, China
| | - Xue Fan
- Shanghai National Center for Applied Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China
- Materials Genome Institute, Shanghai University, Shanghai, 200444, China
- School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA
| | - Caleb Stamper
- Institute for Superconducting and Electronic Materials, University of Wollongong, Wollongong, NSW, 2500, Australia
- The Australian Nuclear Science and Technology Organisation, Lucas Heights, NSW, 2232, Australia
| | - Richard A Mole
- The Australian Nuclear Science and Technology Organisation, Lucas Heights, NSW, 2232, Australia
| | - Yuanxi Yu
- School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
| | - Liang Hong
- School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
- Shanghai National Center for Applied Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China
- Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, 200240, China
| | - Dehong Yu
- The Australian Nuclear Science and Technology Organisation, Lucas Heights, NSW, 2232, Australia.
| | - Matteo Baggioli
- School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China.
- Wilczek Quantum Center, Shanghai Jiao Tong University, Shanghai, 200240, China.
- Shanghai Research Center for Quantum Sciences, Shanghai, 201315, China.
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Stamper C, Cortie D, Yue Z, Wang X, Yu D. Experimental Confirmation of the Universal Law for the Vibrational Density of States of Liquids. J Phys Chem Lett 2022; 13:3105-3111. [PMID: 35362320 DOI: 10.1021/acs.jpclett.2c00297] [Citation(s) in RCA: 8] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
An analytical model describing the vibrational density of states (VDOS) of liquids has long been elusive, owing to the complexities of liquid dynamics. Nevertheless, Zaccone and Baggioli have recently developed such a model which was proposed to be the universal law for the vibrational density of states of liquids. Distinct from the Debye law, g(ω) ∝ ω2, for solids, the universal law for liquids reveals a linear relationship, g(ω) ∝ ω, in the low-energy region. We have confirmed this universal law with experimental VDOS measured by inelastic neutron scattering on real liquid systems including water, liquid metal, and polymer liquids, and have applied this model to extract the effective relaxation rate for the short time dynamics for each liquid. The model has also been further evaluated in the prediction of the specific heat with comparison to existing experimental data as well as with values obtained by different approaches.
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Affiliation(s)
- Caleb Stamper
- Australian Nuclear Science and Technology Organisation, Lucas Heights, New South Wales 2234, Australia
- Institute for Superconducting and Innovative Materials, University of Wollongong, Wollongong, New South Wales 2500, Australia
| | - David Cortie
- Australian Nuclear Science and Technology Organisation, Lucas Heights, New South Wales 2234, Australia
- Institute for Superconducting and Innovative Materials, University of Wollongong, Wollongong, New South Wales 2500, Australia
| | - Zengji Yue
- Institute for Superconducting and Innovative Materials, University of Wollongong, Wollongong, New South Wales 2500, Australia
| | - Xiaolin Wang
- Institute for Superconducting and Innovative Materials, University of Wollongong, Wollongong, New South Wales 2500, Australia
| | - Dehong Yu
- Australian Nuclear Science and Technology Organisation, Lucas Heights, New South Wales 2234, Australia
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3
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Noguere G, Scotta JP, Xu S, Farhi E, Ollivier J, Calzavarra Y, Rols S, Koza M, Marquez Damian JI. Temperature-dependent dynamic structure factors for liquid water inferred from inelastic neutron scattering measurements. J Chem Phys 2021; 155:024502. [PMID: 34266266 DOI: 10.1063/5.0055779] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Temperature-dependent dynamic structure factors S(Q, ω) for liquid water have been calculated using a composite model, which is based on the decoupling approximation of the mean square displacement of the water molecules into diffusion and solid-like vibrational parts. The solid-like vibrational part Svib(Q, ω) is calculated with the phonon expansion method established in the framework of the incoherent Gaussian approximation. The diffusion part Sdiff(Q, ω) relies on the Egelstaff-Schofield translational diffusion model corrected for jump diffusions and rotational diffusions with the Singwi-Sjölander random model and Sears expansion, respectively. Systematics of the model parameters as a function of temperature were deduced from quasi-elastic neutron scattering data analysis reported in the literature and from molecular dynamics (MD) simulations relying on the TIP4P/2005f model. The resulting S(Q, ω) values are confronted by means of Monte Carlo simulations to inelastic neutron scattering data measured with IN4, IN5, and IN6 time-of-flight spectrometers of the Institut Laue-Langevin (ILL) (Grenoble, France). A modest range of temperatures (283-494 K) has been investigated with neutron wavelengths corresponding to incident neutron energies ranging from 0.57 to 67.6 meV. The neutron-weighted multiphonon spectra deduced from the ILL data indicate a slight overestimation by the MD simulations of the frequency shift and broadening of the librational band. The descriptive power of the composite model was suited for improving the comparison to experiments via Bayesian updating of prior model parameters inferred from MD simulations. The reported posterior temperature-dependent densities of state of hydrogen in H2O would represent valuable insights for studying the collective coupling interactions in the water molecule between the inter- and intramolecular degrees of freedom.
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Affiliation(s)
- G Noguere
- CEA, DES, IRESNE, Cadarache, F-13108 Saint Paul Les Durance, France
| | - J P Scotta
- CEA, DES, IRESNE, Cadarache, F-13108 Saint Paul Les Durance, France
| | - S Xu
- CEA, DES, IRESNE, Cadarache, F-13108 Saint Paul Les Durance, France
| | - E Farhi
- Institut Laue-Langevin, F-38042 Grenoble, France
| | - J Ollivier
- Institut Laue-Langevin, F-38042 Grenoble, France
| | - Y Calzavarra
- Institut Laue-Langevin, F-38042 Grenoble, France
| | - S Rols
- Institut Laue-Langevin, F-38042 Grenoble, France
| | - M Koza
- Institut Laue-Langevin, F-38042 Grenoble, France
| | - J I Marquez Damian
- Neutron Physics Departement and Instituto Balseiro, Centro Atomico Bariloche, CNEA, Bariloche, Argentina
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Krauss SW, Schweins R, Magerl A, Zobel M. Free-film small-angle neutron scattering: a novel container-free in situ sample environment with minimized H/D exchange. J Appl Crystallogr 2019; 52:284-288. [PMID: 30996715 PMCID: PMC6448684 DOI: 10.1107/s1600576719000906] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/24/2018] [Accepted: 01/18/2019] [Indexed: 11/10/2022] Open
Abstract
The development of a container-free sample environment which is particularly well suited for in situ reaction studies of liquid samples by small-angle neutron scattering and related techniques is reported. Hydrogen exchange with the humidity from air is reduced by an encapsulating setup in a bag filled with an inert gas such as He. The effectiveness of this measure is quantitatively accessed by infrared absorption and gravimetry, and further correlated with neutron scattering.
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Affiliation(s)
- Sebastian W Krauss
- Chemistry Department, University of Bayreuth, Universitaetsstrasse 30, 95447 Bayreuth, Germany
| | - Ralf Schweins
- Institut Laue-Langevin, DS/LSS, 71 Avenue des Martyrs, Grenoble 38000, France
| | - Andreas Magerl
- Physics Department, Friedrich-Alexander-University Erlangen-Nuremberg, 91052 Erlangen, Germany
| | - Mirijam Zobel
- Chemistry Department, University of Bayreuth, Universitaetsstrasse 30, 95447 Bayreuth, Germany
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Guarini E, Bellissima S, Bafile U, Farhi E, De Francesco A, Formisano F, Barocchi F. Density of states from mode expansion of the self-dynamic structure factor of a liquid metal. Phys Rev E 2017; 95:012141. [PMID: 28208346 DOI: 10.1103/physreve.95.012141] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/29/2016] [Indexed: 11/07/2022]
Abstract
We show that by exploiting multi-Lorentzian fits of the self-dynamic structure factor at various wave vectors it is possible to carefully perform the Q→0 extrapolation required to determine the spectrum Z(ω) of the velocity autocorrelation function of a liquid. The smooth Q dependence of the fit parameters makes their extrapolation to Q=0 a simple procedure from which Z(ω) becomes computable, with the great advantage of solving the problems related to resolution broadening of either experimental or simulated self-spectra. Determination of a single-particle property like the spectrum of the velocity autocorrelation function turns out to be crucial to understanding the whole dynamics of the liquid. In fact, we demonstrate a clear link between the collective mode frequencies and the shape of the frequency distribution Z(ω). In the specific case considered in this work, i.e., liquid Au, analysis of Z(ω) revealed the presence, along with propagating sound waves, of lower frequency modes that were not observed before by means of dynamic structure factor measurements. By exploiting ab initio simulations for this liquid metal we could also calculate the transverse current-current correlation spectra and clearly identify the transverse nature of the above mentioned less energetic modes. Evidence of propagating transverse excitations has actually been reported in various works in the recent literature. However, in some cases, like the present one, these modes are difficult to detect in density fluctuation spectra. We show here that the analysis of the single-particle dynamics is able to unveil their presence in a very effective way. The properties here shown to characterize Z(ω), and the information in it contained therefore allow us to identify it with the density of states (DoS) of the liquid. We demonstrate that only nonhydrodynamic modes contribute to the DoS, thus establishing its purely microscopic origin. Finally, as a by-product of this work, we provide our estimate of the self-diffusion coefficient of liquid gold just above melting.
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Affiliation(s)
- E Guarini
- Dipartimento di Fisica e Astronomia, Università degli Studi di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy
| | - S Bellissima
- Dipartimento di Fisica e Astronomia, Università degli Studi di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy.,Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy
| | - U Bafile
- Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy
| | - E Farhi
- Institut Laue-Langevin, 71 avenue des Martyrs, CS 20156, F-38042 Grenoble Cedex 9, France
| | - A De Francesco
- Consiglio Nazionale delle Ricerche, Istituto Officina dei Materiali c/o Institut Laue-Langevin, 71 avenue des Martyrs, CS 20156, F-38042 Grenoble Cedex 9, France
| | - F Formisano
- Consiglio Nazionale delle Ricerche, Istituto Officina dei Materiali c/o Institut Laue-Langevin, 71 avenue des Martyrs, CS 20156, F-38042 Grenoble Cedex 9, France
| | - F Barocchi
- Dipartimento di Fisica e Astronomia, Università degli Studi di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy
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6
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Amann-Winkel K, Bellissent-Funel MC, Bove LE, Loerting T, Nilsson A, Paciaroni A, Schlesinger D, Skinner L. X-ray and Neutron Scattering of Water. Chem Rev 2016; 116:7570-89. [DOI: 10.1021/acs.chemrev.5b00663] [Citation(s) in RCA: 137] [Impact Index Per Article: 17.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Katrin Amann-Winkel
- Department
of Physics, AlbaNova University Center, Stockholm University, SE-106
91, Stockholm, Sweden
| | | | - Livia E. Bove
- IMPMC, CNRS-UMR 7590, Université P&M Curie, 75252 Paris, France
- Institute
of Condensed Matter Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - Thomas Loerting
- Institute
of Physical Chemistry, University of Innsbruck, 6020 Innsbruck, Austria
| | - Anders Nilsson
- Department
of Physics, AlbaNova University Center, Stockholm University, SE-106
91, Stockholm, Sweden
| | - Alessandro Paciaroni
- Dipartimento
di Fisica e Geologia, Università di Perugia, Via Alessandro
Pascoli, I-06123 Perugia, Italy
| | - Daniel Schlesinger
- Department
of Physics, AlbaNova University Center, Stockholm University, SE-106
91, Stockholm, Sweden
| | - Lawrie Skinner
- Mineral
Physics Institute, Stony Brook University, Stony Brook, New York 11794-2100, United States
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7
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Shi L, Skinner JL. Mixed quantum/classical approach to OH-stretch inelastic incoherent neutron scattering spectroscopy for ambient and supercooled liquid water and ice Ih. J Chem Phys 2015; 143:014503. [DOI: 10.1063/1.4923387] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- L. Shi
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin, Madison, Wisconsin 53706, USA
| | - J. L. Skinner
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin, Madison, Wisconsin 53706, USA
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8
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Farhi E, Ferran G, Haeck W, Pellegrini E, Calzavara Y. Light and heavy water dynamic structure factor for neutron transport codes. J NUCL SCI TECHNOL 2014. [DOI: 10.1080/00223131.2014.984002] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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9
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Ni Y, Skinner JL. Ultrafast pump-probe and 2DIR anisotropy and temperature-dependent dynamics of liquid water within the E3B model. J Chem Phys 2014; 141:024509. [DOI: 10.1063/1.4886427] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022] Open
Affiliation(s)
- Yicun Ni
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin, Madison, Wisconsin 53706, USA
| | - J. L. Skinner
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin, Madison, Wisconsin 53706, USA
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10
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Senesi R, Flammini D, Kolesnikov AI, Murray ÉD, Galli G, Andreani C. The quantum nature of the OH stretching mode in ice and water probed by neutron scattering experiments. J Chem Phys 2013; 139:074504. [DOI: 10.1063/1.4818494] [Citation(s) in RCA: 37] [Impact Index Per Article: 3.4] [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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Tripadus V, Gugiu M, Statescu M, Podlesnyak A. Molecular dynamics in ammonium dihydrogen phosphate using incoherent neutron scattering. Chem Phys 2007. [DOI: 10.1016/j.chemphys.2007.05.003] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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12
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Branca C, Maccarrone S, Magazù S, Maisano G, Bennington SM, Taylor J. Tetrahedral order in homologous disaccharide-water mixtures. J Chem Phys 2005; 122:174513. [PMID: 15910051 DOI: 10.1063/1.1887167] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The present work aims at evidencing the "kosmotrope" nature of trehalose through the analysis of inelastic neutron scattering measurements on trehalose and sucrose water solutions at different temperatures. Neutron spectra were collected by using the spectrometer MARI at the ISIS pulsed neutron source of the Rutherford Appleton Laboratory (Chilton, UK). To study the structural modifications induced on the tetrahedral hydrogen-bond network of water by homologous disaccharides, as a first step, the vibrational properties of pure water at different temperatures have been investigated. In particular, the temperature behavior of the intramolecular OH stretching mode has been analyzed. Successively, the vibrational properties for pure water have been compared with those of the sugar water solutions focusing the attention on the tetrahedral network-forming tendency. Finally, the obtained findings have been compared with previous Raman scattering evidences, and the results interpreted in the frame of recent molecular dynamics simulation works.
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Affiliation(s)
- C Branca
- Dipartimento di Fisica and INFM, Universita' di Messina, Papardo, Messina, Italy
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13
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Branca C, Magazù S, Maisano G, Bennington SM, Fåk B. Vibrational Studies on Disaccharide/H2O Systems by Inelastic Neutron Scattering, Raman, and IR Spectroscopy. J Phys Chem B 2003. [DOI: 10.1021/jp026255b] [Citation(s) in RCA: 45] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- C. Branca
- Dipartimento di Fisica and INFM, Università di Messina, P.O. Box 55, Papardo, 98166 S. Agata di Messina, Italy, and ISIS Pulsed Neutron Facility, Rutheford Appleton Laboratory, Chilton, Didcot, Oxon OX110QX, United Kingdom
| | - S. Magazù
- Dipartimento di Fisica and INFM, Università di Messina, P.O. Box 55, Papardo, 98166 S. Agata di Messina, Italy, and ISIS Pulsed Neutron Facility, Rutheford Appleton Laboratory, Chilton, Didcot, Oxon OX110QX, United Kingdom
| | - G. Maisano
- Dipartimento di Fisica and INFM, Università di Messina, P.O. Box 55, Papardo, 98166 S. Agata di Messina, Italy, and ISIS Pulsed Neutron Facility, Rutheford Appleton Laboratory, Chilton, Didcot, Oxon OX110QX, United Kingdom
| | - S. M. Bennington
- Dipartimento di Fisica and INFM, Università di Messina, P.O. Box 55, Papardo, 98166 S. Agata di Messina, Italy, and ISIS Pulsed Neutron Facility, Rutheford Appleton Laboratory, Chilton, Didcot, Oxon OX110QX, United Kingdom
| | - B. Fåk
- Dipartimento di Fisica and INFM, Università di Messina, P.O. Box 55, Papardo, 98166 S. Agata di Messina, Italy, and ISIS Pulsed Neutron Facility, Rutheford Appleton Laboratory, Chilton, Didcot, Oxon OX110QX, United Kingdom
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14
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Ricci MA, Nardone M, Fontana A, Andreani C, Hahn W. Light and neutron scattering studies of the OH stretching band in liquid and supercritical water. J Chem Phys 1998. [DOI: 10.1063/1.475407] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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15
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Saito S, Ohmine I. Translational and orientational dynamics of a water cluster (H2O)108and liquid water: Analysis of neutron scattering and depolarized light scattering. J Chem Phys 1995. [DOI: 10.1063/1.468580] [Citation(s) in RCA: 55] [Impact Index Per Article: 1.9] [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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Diraison M, Leicknam JC, Tarjus G, Bratos S. Computer simulation study of inelastic neutron scattering from liquid water. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 50:2689-2695. [PMID: 9962308 DOI: 10.1103/physreve.50.2689] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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19
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Lie GC, Grigoras S, Dang LX, Yang D, McLean AD. Monte Carlo simulation of the liquid–vapor interface of water using an ab initio potential. J Chem Phys 1993. [DOI: 10.1063/1.466139] [Citation(s) in RCA: 34] [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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20
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Tarjus G, Diraison M, Leicknam JC, Bratos S. Inelastic neutron scattering from liquid water. Theory and simulation. J Mol Struct 1993. [DOI: 10.1016/0022-2860(93)80134-h] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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21
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Corongiu G, Clementi E. Molecular dynamics simulations with a flexible and polarizable potential: Density of states for liquid water at different temperatures. J Chem Phys 1993. [DOI: 10.1063/1.465105] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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22
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Bratos S, Diraison M, Tarjus G, Leicknam JC. Incoherent inelastic neutron scattering from liquid water: A theoretical investigation. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 45:5556-5565. [PMID: 9907653 DOI: 10.1103/physreva.45.5556] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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23
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24
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Maréchal Y. Infrared spectra of water. I. Effect of temperature and ofH/Disotopic dilution. J Chem Phys 1991. [DOI: 10.1063/1.461630] [Citation(s) in RCA: 182] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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25
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Bratos S, Tarjus G, Diraison M, Leicknam JC. Incoherent inelastic neutron scattering from liquid water: A theoretical study. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 44:2745-2748. [PMID: 9906260 DOI: 10.1103/physreva.44.2745] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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26
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Andreani C, Mayers J, Postorino P, Ricci M. Stretching density of states of the deuterium sites in polycrystalline D2O. Mol Phys 1991. [DOI: 10.1080/00268979100101501] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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27
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Bertolini D, Cassettari M, Ferrario M, Grigolini P, Salvetti G, Tani A. Diffusion effects of hydrogen bond fluctuations. I. The long time regime of the translational and rotational diffusion of water. J Chem Phys 1989. [DOI: 10.1063/1.457191] [Citation(s) in RCA: 49] [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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