1
|
Ferraz CHA. Random packing dynamics of [Formula: see text]-triplets. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2023; 46:98. [PMID: 37833612 DOI: 10.1140/epje/s10189-023-00361-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/17/2023] [Accepted: 10/03/2023] [Indexed: 10/15/2023]
Abstract
In this paper, we used a combination of DEM and the multi-sphere method to investigate the random packing dynamics of [Formula: see text]-triplets. These triplets consist of three overlapping primary spheres, forming a bent structure with a bond angle of [Formula: see text] and belonging to the [Formula: see text] symmetry group. The motivation for choosing such a structural arrangement is twofold: first, to understand how bent-shaped structures influence packing dynamics, and secondly, to investigate how mesoscopic or macroscopic particles possessing symmetry similar to that found in more elementary particles impact packing observables. To ensure non-overlapping particles at the beginning of the simulations, the confinement box was divided into basic cells. Each triplet was then inserted into a basic cell with a random orientation. After that, the system is allowed to settle under gravity toward the bottom of the box. An implicit leapfrog algorithm with quaternion acceleration was used to numerically integrate the rotational motion equations. Through a molecular approach, we consider the impact of long-range cohesive forces by employing a Lennard-Jones (LJ)-type potential. Packing processes are studied assuming different long-range interaction strengths. Different quantities are studied including packing density and orientation pair correlation function. In addition, the force probability distributions in the random packing structures have been analyzed.
Collapse
Affiliation(s)
- Carlos Handrey Araujo Ferraz
- Exact and Natural Sciences Center, Universidade Federal Rural do Semi-Árido-UFERSA, PO Box 0137, Mossoró, RN, CEP 59625-900, Brazil.
| |
Collapse
|
2
|
Molecular models for O2 and N2 from the second virial coefficient. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.119419] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
|
3
|
von Domaros M, Perlt E. Anharmonic effects in the quantum cluster equilibrium method. J Chem Phys 2017; 146:124114. [PMID: 28388115 DOI: 10.1063/1.4978958] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
The well-established quantum cluster equilibrium (QCE) model provides a statistical thermodynamic framework to apply high-level ab initio calculations of finite cluster structures to macroscopic liquid phases using the partition function. So far, the harmonic approximation has been applied throughout the calculations. In this article, we apply an important correction in the evaluation of the one-particle partition function and account for anharmonicity. Therefore, we implemented an analytical approximation to the Morse partition function and the derivatives of its logarithm with respect to temperature, which are required for the evaluation of thermodynamic quantities. This anharmonic QCE approach has been applied to liquid hydrogen chloride and cluster distributions, and the molar volume, the volumetric thermal expansion coefficient, and the isobaric heat capacity have been calculated. An improved description for all properties is observed if anharmonic effects are considered.
Collapse
Affiliation(s)
- Michael von Domaros
- Mulliken Center for Theoretical Chemistry, University of Bonn, Beringstr. 6, D-53115 Bonn, Germany
| | - Eva Perlt
- Mulliken Center for Theoretical Chemistry, University of Bonn, Beringstr. 6, D-53115 Bonn, Germany
| |
Collapse
|
4
|
Determination of the Structure of Fluid Deuterium Chloride by Neutron Diffraction at High Pressure. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bbpc.19910950507] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
|
5
|
Gutwerk D, Bausenwein T, Bertagnolli H. The determination of Lennard-Jones potential parameters of fluid hydrogenchloride by RISM calculations over a broad range of densities. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bbpc.19940980705] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
|
6
|
CUMMINGS PETERT, JACKSON GEORGE, ROWLINSON JOHNS. Keith E. Gubbins: A celebration of statistical mechanics. Mol Phys 2009. [DOI: 10.1080/00268970210142666] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
|
7
|
Chialvo AA, Horita J. Liquid-vapor equilibrium isotopic fractionation of water: how well can classical water models predict it? J Chem Phys 2009; 130:094509. [PMID: 19275411 DOI: 10.1063/1.3082401] [Citation(s) in RCA: 14] [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 liquid-vapor equilibrium isotopic fractionation of water is determined by molecular-based simulation, via Gibbs ensemble Monte Carlo and isothermal-isochoric molecular dynamics involving two radically different but realistic models, the extended simple point charge, and the Gaussian charge polarizable models. The predicted temperature dependence of the liquid-vapor equilibrium isotopic fractionation factors for H(2) (18)O/H(2) (16)O, H(2) (17)O/H(2) (16)O, and (2)H(1)H(16)O/(1)H(2) (16)O are compared against the most accurate experimental datasets to assess the ability of these intermolecular potential models to describe quantum effects according to the Kirkwood-Wigner free energy perturbation variant Planck's over h(2)-expansion. Predictions of the vapor pressure isotopic effect for the H(2) (18)O/H(2) (16)O and H(2) (17)O/H(2) (16)O pairs are also presented in comparison with experimental data and two recently proposed thermodynamic modeling approaches. Finally, the simulation results are used to discuss some approximations behind the microscopic interpretation of isotopic fractionation based on the underlying rototranslational coupling.
Collapse
Affiliation(s)
- Ariel A Chialvo
- Chemical Sciences Division, Aqueous Chemistry and Geochemistry Group, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6110, USA.
| | | |
Collapse
|
8
|
Sesé LM. Feynman-Hibbs potentials and path integrals for quantum Lennard-Jones systems: Theory and Monte Carlo simulations. Mol Phys 2008. [DOI: 10.1080/00268979500101571] [Citation(s) in RCA: 81] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
9
|
Molecular Dynamics with General Holonomic Constraints and Application to Internal Coordinate Constraints. REVIEWS IN COMPUTATIONAL CHEMISTRY 2007. [DOI: 10.1002/9780470125892.ch2] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register]
|
10
|
Steinhauser O, Boresch S, Bertagnolli H. Nonadditive Monte Carlo Simulation of Liquid Hydrogen Chloride Difference Algorithm and Parallel Implementation. MOLECULAR SIMULATION 2006. [DOI: 10.1080/08927029108022449] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- O. Steinhauser
- a Institut für Theoretische Chemie, Universität Wien , Währingerstraβe 17, A-1090 , Vienna , Austria
| | - S. Boresch
- a Institut für Theoretische Chemie, Universität Wien , Währingerstraβe 17, A-1090 , Vienna , Austria
| | - H. Bertagnolli
- b Institut für Physikalische Chemie, Universität Würzburg , Marcusstraβe 9-11, D-W-8700 , Würzburg , Germany
| |
Collapse
|
11
|
Tildesley D, Streett W, Steele W. The mean squared force and mean squared torque in molecular liquids. Mol Phys 2006. [DOI: 10.1080/00268978000100981] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
12
|
|
13
|
|
14
|
Krynicki K, Changdar S, Powles J. Self diffusion coefficient for fluid hydrogen chloride and liquid deuterium chloride. Mol Phys 2006. [DOI: 10.1080/00268978000100651] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
15
|
Sokolić F, Guissani Y, Guillot B. Molecular dynamics simulations of thermodynamic and structural properties of liquid SO2. Mol Phys 2006. [DOI: 10.1080/00268978500102291] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
16
|
Andreani C, Morales P, Rocca D. On the dynamical properties of liquid hydrogen chloride: a light scattering experiment. Mol Phys 2006. [DOI: 10.1080/00268978100102561] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
17
|
Powles J, Osae E, Dore J, Chieux P. The structure of liquid deuterium chloride by slow-neutron scattering. Mol Phys 2006. [DOI: 10.1080/00268978100101871] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- J.G. Powles
- a The Physics Laboratories, University of Kent , Canterbury , England
| | - E.K. Osae
- a The Physics Laboratories, University of Kent , Canterbury , England
| | - J.C. Dore
- a The Physics Laboratories, University of Kent , Canterbury , England
| | - P. Chieux
- b Institut Laue-Langevin , Grenoble , France
| |
Collapse
|
18
|
|
19
|
Haymet A, Morse MD, Rice SA. Structural test for intermolecular force models of crystalline HC1. Mol Phys 2006. [DOI: 10.1080/00268978100102211] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- A.D.J. Haymet
- a The Department of Chemistry and The James Franck Institute , The University of Chicago , Chicago , Illinois , 60637 , U.S.A
| | - Michael D. Morse
- a The Department of Chemistry and The James Franck Institute , The University of Chicago , Chicago , Illinois , 60637 , U.S.A
| | - Stuart A. Rice
- a The Department of Chemistry and The James Franck Institute , The University of Chicago , Chicago , Illinois , 60637 , U.S.A
| |
Collapse
|
20
|
|
21
|
|
22
|
Affiliation(s)
- Franz Vesely
- a Institut für Experimentalphysik , Strudlhofgasse 4, A-1090 , Vienna , Austria
| | - William A. Steele
- b Department of Chemistry , The Pennsylvania State University , University Park , 16802 , USA
| |
Collapse
|
23
|
Affiliation(s)
- Joseph Cipriani
- a Laboratoire de Spectrochimie Moléculaire Université Pierre et Marie Curie , 4 Place Jussieu-F-75005, Paris , France
| | - Bernard Silvi
- a Laboratoire de Spectrochimie Moléculaire Université Pierre et Marie Curie , 4 Place Jussieu-F-75005, Paris , France
| |
Collapse
|
24
|
Lombardero M, Martín C, Lomba E. Structure and thermodynamics of heteronuclear two-centre Lennard-Jones fluids from Monte Carlo simulation and a reference hypernetted chain equation. Mol Phys 2006. [DOI: 10.1080/00268979400100901] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
25
|
Powles J, McGrath E, Gubbins K. A computer simulation for a simple model of liquid hydrogen chloride-time correlation functions. Mol Phys 2006. [DOI: 10.1080/00268978000101371] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- J.G. Powles
- a The Physics Laboratories , University of Kent , Canterbury , England
| | - E. McGrath
- a The Physics Laboratories , University of Kent , Canterbury , England
| | - K.E. Gubbins
- b Chemical Engineering Department , Cornell University , Ithaca , N.Y. , U.S.A
| |
Collapse
|
26
|
|
27
|
Affiliation(s)
- S. Murad
- a School of Chemical Engineering, Cornell University , Ithaca , N.Y. , U.S.A
- c Energy Engineering Department , University of Illinois , Chicago , 60680 , U.S.A
| | - K.E. Gubbins
- a School of Chemical Engineering, Cornell University , Ithaca , N.Y. , U.S.A
| | - J.G. Powles
- b Physics Laboratories , University of Kent , Canterbury , England
| |
Collapse
|
28
|
|
29
|
Evans W, Powles J. The computer simulation of the dielectric properties of polar liquids. The dielectric constant and relaxation of liquid hydrogen chloride. Mol Phys 2006. [DOI: 10.1080/00268978200100541] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
|
30
|
Dubois V, Pasquarello A. Ab initio molecular dynamics of liquid hydrogen chloride. J Chem Phys 2006; 122:114512. [PMID: 15836234 DOI: 10.1063/1.1869972] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We carried out an ab initio molecular dynamics simulation of liquid hydrogen chloride (l-HCl) at a temperature of 313 K. Comparison with inelastic neutron scattering data shows that the simulation achieves an overall good description of the structural correlations, improving significantly upon a description based on classical interaction potentials. Despite some minor differences between theory and experiment in the H-H partial structure factor, the simulation gives a description of the hydrogen bonding in impressive agreement with experiment, for both the amount and the bond-length distribution of the bonds. In the simulation, 40% of the molecules are nonbonded, while the hydrogen-bonded chains are short, principally consisting of dimers (25%) and trimers (15%). Neighboring molecules in the simulation are found to form L-shaped arrangements, like in the isolated (HCl)(2) dimer and in crystalline phases of HCl. The time correlation of the molecular-axis orientation is found to be characterized by a very short decay time (0.13 ps), consistent with the short length of the hydrogen-bonded chains. Other dynamical properties investigated in this work include the diffusion coefficient and the vibrational density of states. We evaluated the molecular dipole of the HCl molecule in the liquid using a definition based on the coupling of rotational modes to an external electric field. The average dipole moment (1.53 D) derived in this way is found to be considerably larger than for the isolated molecule (1.11 D). Our results show that the dipole moment in [script-l]-HCl undergoes large fluctuations, both in orientation and in modulus. Upon the onset of an external field, such dipole fluctuations concur to reduce the fluctuations of the dielectric response.
Collapse
Affiliation(s)
- Vincent Dubois
- Institut de Théorie des Phénomènes Physiques (ITP), Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland
| | | |
Collapse
|
31
|
Dubois V, Umari P, Pasquarello A. Dielectric susceptibility of dipolar molecular liquids by ab initio molecular dynamics: application to liquid HCl. Chem Phys Lett 2004. [DOI: 10.1016/j.cplett.2004.04.021] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
32
|
Arbuckle BW, Clancy P. Effects of the Ewald sum on the free energy of the extended simple point charge model for water. J Chem Phys 2002. [DOI: 10.1063/1.1451245] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
33
|
Andreani C, Ricci MA, Nardone M, Ricci FP, Soper AK. Orientational correlations and hydrogen bonding in liquid hydrogen chloride. J Chem Phys 1997. [DOI: 10.1063/1.474368] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
34
|
Abstract
The Berne-Pechukas-Kushick potential for linear molecules, together with a central electric point dipole, has been used as the model for polar liquids in a series of molecular dynamics computer simulations. Different simulations used Ewald summation, spherical cut off and spherical cut off with reaction field correction to sum the dipole-dipole interactions, and the relative merits of these methods are discussed. Results for thermodynamic properties and the distribution function
h
∆
(
r
) are presented. Results for the autocorrelation functions for dipole orientation and angular velocity are also presented, and discussed in terms of memory functions, particularly with regard to the Steele perturbation theory. The complex, frequency-dependent dielectric constant has been calculated from the memory function of the autocorrelation function of the periodic cube dipole moment, and results are presented in the form of Cole-Cole plots. The ‘dielectric friction’ approach to polar liquids is examined against the evidence of the molecular dynamics data. Attention is drawn to the behaviour of the cross correlations between dipole orientations and their importance to the problem of dielectric relaxation is emphasized.
Collapse
|
35
|
Báez LA, Clancy P. Existence of a density maximum in extended simple point charge water. J Chem Phys 1994. [DOI: 10.1063/1.467949] [Citation(s) in RCA: 130] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
36
|
Martín C, Lomba E, Lombardero M, Lado F, Ho/ye JS. Integral equation and simulation studies of a realistic model for liquid hydrogen chloride. J Chem Phys 1994. [DOI: 10.1063/1.466586] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
37
|
|
38
|
Steinhauser O, Boresch S, Bertagnolli H. The effect of density variation on the structure of liquid hydrogen chloride. A Monte Carlo study. J Chem Phys 1990. [DOI: 10.1063/1.459015] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
39
|
|
40
|
Sesé L, Gómez P, Sueiro F. An application of quantum chemical methodology to liquid phase studies: Monte Carlo simulation of nonrigid acetone dissolved in carbon disulfide. J Mol Liq 1986. [DOI: 10.1016/0167-7322(86)80027-7] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
|
41
|
Sesé L. A molecular quantum mechanics approach to evaluate molecular properties in liquid phase using statistical mechanics. J Mol Liq 1985. [DOI: 10.1016/0167-7322(85)80014-3] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
42
|
|
43
|
|
44
|
Levesque D, Weis J, Oxtoby DW. A molecular dynamics simulation of rotational and vibrational relaxation in liquid HCl. J Chem Phys 1983. [DOI: 10.1063/1.445868] [Citation(s) in RCA: 60] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
45
|
Votava C, Ahlrichs R, Geiger A. The HCl–HCl interaction: From quantum mechanical calculations to properties of the liquid. J Chem Phys 1983. [DOI: 10.1063/1.444630] [Citation(s) in RCA: 58] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
46
|
Powles JG, Wojcik M. The hydrogen chloride dimer energy from the second virial coefficient. J Chem Phys 1983. [DOI: 10.1063/1.445358] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
47
|
|
48
|
Hirata F, Pettitt BM, Rossky PJ. Application of an extended RISM equation to dipolar and quadrupolar fluids. J Chem Phys 1982. [DOI: 10.1063/1.443606] [Citation(s) in RCA: 273] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
49
|
A comparison of the multipole-expansion and point-charge models of the electrostatic energy between polar diatomic molecules. Chem Phys Lett 1981. [DOI: 10.1016/0009-2614(81)85215-3] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
|
50
|
|