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Deiters UK, Sadus RJ. Interatomic Interactions Responsible for the Solid-Liquid and Vapor-Liquid Phase Equilibria of Neon. J Phys Chem B 2021; 125:8522-8531. [PMID: 34288687 DOI: 10.1021/acs.jpcb.1c04272] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The role of interatomic interactions on the solid-liquid and vapor-liquid equilibria of neon is investigated via molecular simulation using a combination of two-body ab initio, three-body, and quantum potentials. A new molecular simulation approach for determining phase equilibria is also reported and a comparison is made with the available experimental data. The combination of two-body plus quantum influences has the greatest overall impact on the accuracy of the prediction of solid-liquid equilibria. However, the combination of two-body + three-body + quantum interactions is required to approach an experimental accuracy for solid-liquid equilibria, which extends to pressures of tens of GPa. These interactions also combine to predict vapor-liquid equilibria to a very high degree of accuracy, including a very good estimate of the critical properties.
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Affiliation(s)
- Ulrich K Deiters
- Institute for Physical Chemistry, Faculty of Mathematics and Natural Sciences, University of Cologne, Greinstr 4-6, Köln D-50939, Germany
| | - Richard J Sadus
- Department of Computer Science and Software Engineering, Swinburne University of Technology, P.O. Box 218, Hawthorn 3122 Victoria, Australia
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2
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Alamre A, Badhrees I, Death B, Licciardi C, Sinclair D. Isotopic Dependence of Vapor Pressure in Xenon. ACS OMEGA 2020; 5:28977-28983. [PMID: 33225128 PMCID: PMC7675565 DOI: 10.1021/acsomega.0c02883] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 06/16/2020] [Accepted: 10/01/2020] [Indexed: 06/11/2023]
Abstract
The vapor pressure isotopic effect (VPIE) of xenon has been measured using cryogenic distillation. The still is calibrated with argon and krypton and yields a measurement of ln(p 130/p 136) ≃ (0.26 ± 0.04) × 10-3, where p 130 and p 136 are the vapor pressures of 130Xe and 136Xe at the nominal boiling point, respectively. The dependence of the VPIE across the isotopes for the three elements is found to be approximately linear with atomic mass, and all values are consistent with theoretical expectations.
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Affiliation(s)
- Amal Alamre
- Physics
Department, Carleton University, Ottawa, Ontario K1S 5B6, Canada
| | - Ibtesam Badhrees
- Physics
Department, Carleton University, Ottawa, Ontario K1S 5B6, Canada
| | - Brandon Death
- Physics
Department, Carleton University, Ottawa, Ontario K1S 5B6, Canada
| | - Caio Licciardi
- Department
of Physics, Laurentian University, Sudbury, Ontario P3E 2C6, Canada
| | - David Sinclair
- Physics
Department, Carleton University, Ottawa, Ontario K1S 5B6, Canada
- TRIUMF, Vancouver, British Columbia V6T 2A3, Canada
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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.
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Affiliation(s)
- Ariel A Chialvo
- Chemical Sciences Division, Aqueous Chemistry and Geochemistry Group, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6110, USA.
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Ramírez R, Herrero CP. Quantum path-integral study of the phase diagram and isotope effects of neon. J Chem Phys 2008; 129:204502. [DOI: 10.1063/1.3023036] [Citation(s) in RCA: 26] [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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Chialvo AA, Horita J. Liquid-vapor isotopic fractionation factors of diatomic fluids: A direct comparison between molecular simulation and experiment. J Chem Phys 2006; 125:34510. [PMID: 16863365 DOI: 10.1063/1.2215611] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Liquid-vapor fractionation factors of molecular fluids are studied by molecular-based simulation, Gibbs ensemble Monte Carlo, and isothermal-isochoric molecular dynamics of realistic models for N(2), O(2), and CO. The temperature dependence of the fractionation factors for (15)N(14)N(14)N(2), (15)N(2)(14)N(2), (18)O(16)O(16)O(2), (18)O(2)(16)O(2), (13)C(16)O(12)C(16)O, and (12)C(18)O(12)C(16)O along the vapor-liquid coexistence curves as predicted by simulation is compared with the existing experimental data to assess the accuracy of Planck's(2)-order Kirkwood-Wigner free energy expansion for specific model parametrizations. Predictions of the fractionation factors for other isotopologue pairs, including (18)O(17)O(16)O(2), (16)O(17)O(16)O(2), and (17)O(2)(16)O(2), as well as tests of some approximations behind the microscopic interpretation of the fractionation factors are also given.
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Affiliation(s)
- Ariel A Chialvo
- Aqueous Chemistry and Geochemistry Group, Chemical Sciences Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6110, USA.
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Chialvo AA, Horita J. Isotopic effect on phase equilibria of atomic fluids and their mixtures: A direct comparison between molecular simulation and experiment. J Chem Phys 2003. [DOI: 10.1063/1.1594178] [Citation(s) in RCA: 12] [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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Canongia Lopes JN, Pádua AAH, Rebelo LPN, Bigeleisen J. Calculation of vapor pressure isotope effects in the rare gases and their mixtures using an integral equation theory. J Chem Phys 2003. [DOI: 10.1063/1.1545445] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Peek DA, Fujita I, Schmidt MC, Simmons RO. Single-particle kinetic energies in solid neon. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:9680-9687. [PMID: 10000852 DOI: 10.1103/physrevb.45.9680] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Lee MW, Bigeleisen J. Calculation of the mean force constants of the rare gases and the rectilinear law of mean force. J Chem Phys 1977. [DOI: 10.1063/1.434815] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.2] [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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Thompson S. The neon-neon interatomic potential from a study of the liquid-vapour isotope separation factor. Mol Phys 1976. [DOI: 10.1080/00268977600102161] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Yato Y, Lee MW, Bigeleisen J. Phase equilibrium isotope effects in molecular solids and liquids. Vapor pressures of the isotopic nitrous oxide molecules. J Chem Phys 1975. [DOI: 10.1063/1.431478] [Citation(s) in RCA: 14] [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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Bilkadi Z, Lee MW, Bigeleisen J. Phase equilibrium isotope effects in molecular solids and liquids. Vapor pressures of the isotopic carbon dioxide molecules. J Chem Phys 1975. [DOI: 10.1063/1.430772] [Citation(s) in RCA: 16] [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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McConville GT. New values of sublimation energy L0 for natural neon and its isotopes. J Chem Phys 1974. [DOI: 10.1063/1.1680868] [Citation(s) in RCA: 44] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Lee MW, Eshelman DM, Bigeleisen J. Vapor Pressures of Isotopic Krypton Mixtures. Intermolecular Forces in Solid and Liquid Krypton. J Chem Phys 1972. [DOI: 10.1063/1.1677907] [Citation(s) in RCA: 24] [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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Lee MW, Fuks S, Bigeleisen J. Vapor Pressures of36Ar and40Ar. Intermolecular Forces in Solid and Liquid Argon. J Chem Phys 1970. [DOI: 10.1063/1.1673880] [Citation(s) in RCA: 42] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Brouwer J, Van Den Meijdenberg C, Beenakker J. Specific heat of the liquid mixtures of neon and hydrogen isotopes in the phase-separation region. ACTA ACUST UNITED AC 1970. [DOI: 10.1016/0031-8914(70)90056-x] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Klein ML, Blizard W, Goldman VV. Calculation of the Vapor‐Pressure Ratio of the Isotopes of Solid Ne and Ar. J Chem Phys 1970. [DOI: 10.1063/1.1673197] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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O'Neil JR, Clayton RN, Mayeda TK. Oxygen Isotope Fractionation in Divalent Metal Carbonates. J Chem Phys 1969. [DOI: 10.1063/1.1671982] [Citation(s) in RCA: 1749] [Impact Index Per Article: 31.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Ishida T, Bigeleisen J. Vapor Pressure of the Isotopic Ethylenes. IV. Liquid Ethylene‐d3and ‐d4. J Chem Phys 1968. [DOI: 10.1063/1.1670078] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Batchelder DN, Losee DL, Simmons RO. Isotope Effects in the Lattice Constant and Thermal Expansion ofNe20andNe22Single Crystals. ACTA ACUST UNITED AC 1968. [DOI: 10.1103/physrev.173.873] [Citation(s) in RCA: 47] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Bigeleisen J, Cragg CB, Jeevanandam M. Vapor Pressures of Isotopic Methanes—Evidence for Hindered Rotation. J Chem Phys 1967. [DOI: 10.1063/1.1701635] [Citation(s) in RCA: 33] [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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Bigeleisen J. Chemistry of Isotopes: Isotope chemistry has opened new areas of chemical physics, geochemistry, and molecular biology. Science 1965; 147:463-71. [PMID: 17749220 DOI: 10.1126/science.147.3657.463] [Citation(s) in RCA: 71] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Abstract
With the exception of the field of chemical kinetics, a brief survey has been presented of the principles of isotope chemistry and their utility in the ever-unfolding panorama of scientific research. We have come a long way since Soddy and Fajans arrived at the concept of chemical twins-isotopes. There are still places to go.
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Klein ML, Reissland JA. Anharmonic Forces and the Vapor‐Pressure Ratio of Monatomic Isotopic Solids. II. J Chem Phys 1964. [DOI: 10.1063/1.1726351] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Klein ML. Anharmonic Forces and the Vapor‐Pressure Ratio of Monatomic Isotopic Solids. J Chem Phys 1964. [DOI: 10.1063/1.1725955] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Bigeleisen J, Ribnikar SV, Van Hook WA. Molecular Geometry and the Vapor Pressure of Isotopic Molecules. The Equivalent Isomerscis‐,gem‐, andtrans‐Dideuteroethylenes. J Chem Phys 1963. [DOI: 10.1063/1.1733685] [Citation(s) in RCA: 29] [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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Bigeleisen J, Stern MJ, Van Hook WA. Molecular Geometry and the Vapor Pressure of Isotopic Molecules. C2H3D and C12H2=C13H2. J Chem Phys 1963. [DOI: 10.1063/1.1733686] [Citation(s) in RCA: 28] [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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Vapour pressure of isotopic solids by a steady flow method: Argon between 72 °K and triple point. ACTA ACUST UNITED AC 1962. [DOI: 10.1007/bf02731258] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Bigeleisen J, Ribnikar SV. Structural Effects in the Vapor Pressures of Isotopic Molecules. O18 and N15 Substitution in N2O. J Chem Phys 1961. [DOI: 10.1063/1.1732042] [Citation(s) in RCA: 21] [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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