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Yang H, Drossinos Y, Hogan CJ. Excess thermal energy and latent heat in nanocluster collisional growth. J Chem Phys 2019; 151:224304. [PMID: 31837664 DOI: 10.1063/1.5129918] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Nanoclusters can form and grow by nanocluster-monomer collisions (condensation) and nanocluster-nanocluster collisions (coagulation). During growth, product nanoclusters have elevated thermal energies due to potential and thermal energy exchange following a collision. Even though nanocluster collisional heating may be significant and strongly size dependent, no prior theory describes this phenomenon for collisions of finite-size clusters. We derive a model to describe the excess thermal energy of collisional growth, defined as the kinetic energy increase in the product cluster, and latent heat of collisional growth, defined as the heat released to the background upon thermalization of the nonequilibrium cluster. Both quantities are composed of a temperature-independent term related to potential energy minimum differences and a size- and temperature-dependent term, which hinges upon heat capacity and energy partitioning. Example calculations using gold nanoclusters demonstrate that collisional heating can be important and strongly size dependent, particularly for reactive collisions involving nanoclusters composed of 14-20 atoms. Excessive latent heat release may have considerable implications in cluster formation and growth.
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Affiliation(s)
- Huan Yang
- Department of Mechanical Engineering, University of Minnesota, 111 Church St. SE, Minneapolis, Minnesota 55455, USA
| | - Yannis Drossinos
- European Commission, Joint Research Centre, 21027 Ispra (VA), Italy
| | - Christopher J Hogan
- Department of Mechanical Engineering, University of Minnesota, 111 Church St. SE, Minneapolis, Minnesota 55455, USA
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Asgari M, Behnejad H, Fortunelli A. Composition-dependent melting behaviour of Na xK 55–xcore–shell nanoalloys. Mol Phys 2014. [DOI: 10.1080/00268976.2014.919039] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Trzpit M, Soulard M, Patarin J, Desbiens N, Cailliez F, Boutin A, Demachy I, Fuchs AH. The effect of local defects on water adsorption in silicalite-1 zeolite: a joint experimental and molecular simulation study. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2007; 23:10131-9. [PMID: 17715950 DOI: 10.1021/la7011205] [Citation(s) in RCA: 97] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/16/2023]
Abstract
We report a joint experimental and molecular simulation study of water condensation in silicalite-1 zeolite. A sample was synthesized using the fluoride route and was found to contain essentially no defects. A second sample synthesized using the hydroxide route was found to contain a small amount of silanol groups. The thermodynamics of water condensation was studied in these two samples, as well as in a commercial sample, in order to understand the effect of local defects on water adsorption. The molecular simulation study enabled us to qualitatively reproduce the experimentally observed condensation thermodynamics features. A shift and a rounding of the condensation transition was observed with an increasing hydrophilicity of the local defect, but the condensation transition was still observed above the water saturation vapor pressure P0. Both experiments and simulations agree on the fact that a small water uptake can be observed at very low pressure, but that the bulk liquid does not form from the gas phase below P0. The picture that emerges from the observed water condensation mechanism is the existence of a heterogeneous internal surface that is overall hydrophobic, despite the existence of hydrophilic "patches". This heterogeneous surface configuration is thermodynamically stable in a wide range of reduced pressures (from P/P0 = 0.2 to a few thousands), until the condensation transition takes place.
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Affiliation(s)
- M Trzpit
- Laboratoire des Matériaux à Porosité Contrôlée, CNRS, Ecole Nationale Supérieure de Chimie de Mulhouse and Université de Haute-Alsace, 68093 Mulhouse, France
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Calvo F, Parneix P. Statistical evaporation of rotating clusters. III. Molecular clusters. J Chem Phys 2004; 120:2780-7. [PMID: 15268424 DOI: 10.1063/1.1633258] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023] Open
Abstract
Unimolecular evaporation of weakly bound clusters made of rigid molecules is considered from the points of view of statistical theories and molecular dynamics simulations. We explicitly work out expressions for the kinetic energy released and product angular momentum distributions within the sphere+sphere and sphere+linear rigid body assumptions of phase space theory (PST). Various approximations are investigated, including the shape of the interaction potential between the two fragments and the anharmonicity of the vibrational density of states. The comparison between phase space theory and simulation for nitrogen and methane clusters shows a quantitative agreement, thereby suggesting that PST is accurate in predicting statistical observables in a wide range of systems under various physical conditions.
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Affiliation(s)
- F Calvo
- Laboratoire de Physique Quantique, IRSAMC, Universite Paul Sabatier, 118 Route de Narbonne, F31062 Toulouse, France.
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Hewage JW, Amar FG. Structural motifs and stability of small argon–nitrogen clusters. J Chem Phys 2003. [DOI: 10.1063/1.1614751] [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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Qi Y, Çağin T, Johnson WL, Goddard WA. Melting and crystallization in Ni nanoclusters: The mesoscale regime. J Chem Phys 2001. [DOI: 10.1063/1.1373664] [Citation(s) in RCA: 314] [Impact Index Per Article: 13.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Calvo F. Thermal Stability of the Solidlike and Liquidlike Phases of (C60)n Clusters. J Phys Chem B 2001. [DOI: 10.1021/jp0036487] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023]
Affiliation(s)
- F. Calvo
- DRFMC/SI2A, CEA Grenoble, 17 rue des Martyrs, F38054 Grenoble Cedex, France, and University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, U.K
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Lee YJ, Lee EK, Kim S, Nieminen RM. Effect of potential energy distribution on the melting of clusters. PHYSICAL REVIEW LETTERS 2001; 86:999-1002. [PMID: 11177994 DOI: 10.1103/physrevlett.86.999] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/28/2000] [Indexed: 05/23/2023]
Abstract
We find that the potential energy distribution of atoms in clusters can consistently explain many important phenomena related to the phase changes of clusters, such as the nonmonotonic variation of melting temperature with size, the dependence of melting, boiling, and sublimation temperatures on the interatomic potentials, the existence of a surface-melted phase, and the absence of a premelting peak in heat capacity curves. We also find a new type of premelting mechanism in double icosahedral Pd19 clusters, where one of the two internal atoms escapes to the surface at the premelting temperature.
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Affiliation(s)
- Y J Lee
- Department of Chemistry and School of Molecular Science, Korea Advanced Institute of Science and Technology, Taejon
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Lee YJ, Maeng JY, Lee EK, Kim B, Kim S, Han KK. Melting behaviors of icosahedral metal clusters studied by Monte Carlo simulations. J Comput Chem 2000. [DOI: 10.1002/(sici)1096-987x(20000415)21:5<380::aid-jcc4>3.0.co;2-c] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Calvo F, Spiegelmann F. Mechanisms of phase transitions in sodium clusters: From molecular to bulk behavior. J Chem Phys 2000. [DOI: 10.1063/1.480862] [Citation(s) in RCA: 129] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Calvo F, Torchet G, de Feraudy MF. Structural transitions in nitrogen molecular clusters: Experiment and simulation. J Chem Phys 1999. [DOI: 10.1063/1.479226] [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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Calvo F. Largest Lyapunov exponent in molecular systems. II: Quaternion coordinates and application to methane clusters. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999; 60:2771-8. [PMID: 11970082 DOI: 10.1103/physreve.60.2771] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/15/1999] [Indexed: 04/18/2023]
Abstract
We present a numerical procedure for extracting Lyapunov characteristic exponents from classical molecular-dynamics simulations of molecular systems. The theoretical frame chosen to describe the orientational degrees of freedom is the quaternions scheme. We apply the method to small methane clusters. Two different model potentials are used to investigate the role of internal molecular motion on the nonlinear dynamics, and several parameters are calculated to study the thermodynamics and chaotic dynamics of these clusters. Evidence is found for a solidlike to plasticlike phase transition occurring with the release of the orientational degrees of freedom, at low temperatures below the melting point. The largest Lyapunov exponent increases significantly during this transition, but it exhibits no particular variation during melting.
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Affiliation(s)
- F Calvo
- Laboratoire Collisions, Agrégats, Réactivité, CNRS UMR 5589, Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes, Université Paul Sabatier, 118 Route de Narbonne, F31062 Toulouse Cedex, France.
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Fatemi FK, Fatemi DJ, Bloomfield LA. Thermal isomerization in isolated cesium–halide cluster anions. J Chem Phys 1999. [DOI: 10.1063/1.478407] [Citation(s) in RCA: 4] [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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Maillet JB, Boutin A, Buttefey S, Calvo F, Fuchs AH. From molecular clusters to bulk matter. I. Structure and thermodynamics of small CO2, N2, and SF6 clusters. J Chem Phys 1998. [DOI: 10.1063/1.476509] [Citation(s) in RCA: 59] [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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Affiliation(s)
- F. Calvo
- Laboratoire Collisions, Agrégats, Réactivité (UMR 5589, CNRS), IRSAMC, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse Cédex 4, France
| | - P. Labastie
- Laboratoire Collisions, Agrégats, Réactivité (UMR 5589, CNRS), IRSAMC, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse Cédex 4, France
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Maillet JB, Boutin A, Fuchs AH. The Melting Phase Transition in Small Carbon Dioxide Clusters. MOLECULAR SIMULATION 1997. [DOI: 10.1080/08927029708024158] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Fatemi FK, Fatemi DJ, Bloomfield LA. Thermal Isomerization in Isolated Cesium-Halide Clusters. PHYSICAL REVIEW LETTERS 1996; 77:4895-4898. [PMID: 10062662 DOI: 10.1103/physrevlett.77.4895] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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