1
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Zhang S, Wang F, Peng H, Yan J, Pan G. Flexible Highly Sensitive Pressure Sensor Based on Ionic Liquid Gel Film. ACS OMEGA 2018; 3:3014-3021. [PMID: 31458567 PMCID: PMC6641298 DOI: 10.1021/acsomega.7b01575] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/03/2017] [Accepted: 12/05/2017] [Indexed: 05/15/2023]
Abstract
Flexible, semitransparent ionic liquid gel (ionogels) film was first fabricated by in situ polymerization. The optimized ionogels exhibited excellent mechanical properties, high conductivity, and force sensing characteristics. The multifunctional sensor based on the ionogel film was constructed and provided the high sensitivity of 15.4 kPa-1 and wide detection range sensing from 5 Pa to 5 kPa. Moreover, the aforementioned sensor demonstrated excellent mechanical stability against repeated external deformations (for 3000 cycles under 90° bending). Importantly, the sensor showed advantages in detection of environmental changes to the external stimulus of subtle signals, including a rubber blower blowing the sensor, gently touching, torsion, and bending.
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Affiliation(s)
- Shaohui Zhang
- Suzhou
Institute of Nano-tech and Nano-bionics, Chinese Academy of Sciences, Ruoshui Road 398, Suzhou 215123, P. R. China
- College
of Chemistry and Environmental Engineering, Changchun University of Science and Technology, Weixing Road 7089, Changchun 130022, P. R. China
| | - Fengxia Wang
- Suzhou
Institute of Nano-tech and Nano-bionics, Chinese Academy of Sciences, Ruoshui Road 398, Suzhou 215123, P. R. China
- E-mail:
| | - Hongdan Peng
- Suzhou
Institute of Nano-tech and Nano-bionics, Chinese Academy of Sciences, Ruoshui Road 398, Suzhou 215123, P. R. China
| | - Jinghui Yan
- College
of Chemistry and Environmental Engineering, Changchun University of Science and Technology, Weixing Road 7089, Changchun 130022, P. R. China
| | - Gebo Pan
- Suzhou
Institute of Nano-tech and Nano-bionics, Chinese Academy of Sciences, Ruoshui Road 398, Suzhou 215123, P. R. China
- E-mail:
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2
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Wang D, Zhang H, Yu WW, Tang Z. Thermal Evolution of One-Dimensional Iodine Chains. J Phys Chem Lett 2017; 8:2463-2468. [PMID: 28511017 DOI: 10.1021/acs.jpclett.7b00840] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
In one-dimensional (1D) systems, the definition of three common states of matter (solid, liquid, and gas) becomes obscure because it has been theoretically predicted that a 1D system has no phase transition. Due to technical difficulty in tracking 1D thermal evolution, hardly any experimental evidence has demonstrated whether there exist these three states. Here we report Raman experimental observation that 1D iodine molecular chains formed inside the nanosized channel undergo continuous transformation from chain structure to single molecules with increasing temperature, without having a sudden change as commonly observed in phase transition. At low temperatures, short-range order exists and manifests itself as long chains in structure, which gradually break into shorter chains with increasing temperature. The 1D system progressively gets more and more disordered, which is in agreement with the theoretical derivations. Our work may benefit the emerging molecular scale electronics.
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Affiliation(s)
- Dingdi Wang
- State Key Laboratory on Integrated Optoelectronics, College of Electronic Science and Engineering, Jilin University , Changchun 130012, China
- Department of Physics, The Hong Kong University of Science and Technology , Clear Water Bay, Kowloon, Hong Kong
| | - Haijing Zhang
- Department of Physics, The Hong Kong University of Science and Technology , Clear Water Bay, Kowloon, Hong Kong
| | - William W Yu
- State Key Laboratory on Integrated Optoelectronics, College of Electronic Science and Engineering, Jilin University , Changchun 130012, China
- Department of Chemistry and Physics, Louisiana State University , Shreveport, Louisiana 71115, United States
| | - Zikang Tang
- The Institute of Applied Physics and Materials Engineering, University of Macau , Avenida da Universidade, Taipa, Macau
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3
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Yang Y, Zhang H. Origin and nature of spontaneous shape fluctuations in "small" nanoparticles. ACS NANO 2014; 8:7465-7477. [PMID: 24992502 PMCID: PMC4334263 DOI: 10.1021/nn502767t] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 05/21/2014] [Accepted: 07/03/2014] [Indexed: 06/03/2023]
Abstract
Normally chemically inert materials such as Au have been found to be catalytically active in the form of particles whose size is about 1 nm. Direct and indirect observations of various types of metal nanoparticles (NPs) in this size range, under catalytically relevant conditions for fuel-cell operation and catalysis, have indicated that such "small" particles can exhibit large spontaneous shape fluctuations and significant changes in shape and chemical activity in response to alterations in environmental conditions. NPs also normally exhibit facile coalescence when in proximity, impacting their stability and reactivity in applications. We perform molecular dynamics simulations on Ni nanoparticles, a commonly used NP in catalytic applications and carbon nanotube growth, in the ≈1 nm size regime where large-scale shape fluctuations have been observed experimentally. An analysis of the large-scale shape fluctuations observed in our simulations of these "small" NPs indicates that they are accompanied by collective motion of Ni atoms through the NP center, and we quantify these dynamic structures and their impact on NP shape. In contrast, stringlike collective atomic motion is confined to the NP interfacial region of NPs having a diameter greater than a few nanometers, and correspondingly, the overall NP shape remains roughly spherical, a case studied in our prior Ni NP simulations. Evidently, the large spontaneous NP shape fluctuations reflect a change in character of the collective atomic dynamics when the NPs become critically small in size.
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4
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Pyfer KL, Kafader JO, Yalamanchali A, Jarrold MF. Melting of Size-Selected Gallium Clusters with 60–183 Atoms. J Phys Chem A 2014; 118:4900-6. [DOI: 10.1021/jp503315r] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Katheryne L. Pyfer
- Chemistry Department, Indiana University 800 E. Kirkwood Avenue, Bloomington Indiana 47405, United States
| | - Jared O. Kafader
- Chemistry Department, Indiana University 800 E. Kirkwood Avenue, Bloomington Indiana 47405, United States
| | - Anirudh Yalamanchali
- Chemistry Department, Indiana University 800 E. Kirkwood Avenue, Bloomington Indiana 47405, United States
| | - Martin F. Jarrold
- Chemistry Department, Indiana University 800 E. Kirkwood Avenue, Bloomington Indiana 47405, United States
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5
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Susan A, Joshi K. Rationalizing the role of structural motif and underlying electronic structure in the finite temperature behavior of atomic clusters. J Chem Phys 2014. [DOI: 10.1063/1.4871118] [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
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6
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Santamaría-Holek I, Pérez-Madrid A. Thermostatistical description of small systems in nonequilibrium conditions: energy conversion and harvesting. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 89:012144. [PMID: 24580209 DOI: 10.1103/physreve.89.012144] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/26/2013] [Indexed: 06/03/2023]
Abstract
Hysteresis cycles are very important features of energy conversion and harvesting devices, such as batteries. The efficiency of these may be strongly affected by the physical size of the system. Here, we show that in systems which are small enough, the existence of physical boundaries which produce nonhomogeneities of the interaction potential gives rise to inflections and barriers in the associated free energy. This in turn brings on irreversible processes which can be triggered under suitable external conditions imposed by a heat bath. As an example, by controlling the temperature, the state of a small system may be impelled to oscillate between two different structural configurations or aggregation states avoiding equilibrium coexistence and therefore dissipating energy. This cyclical behavior associated with a hysteresis cycle may be prototypical of energy conversion, storage, or generating nanodevices, as exemplified by Li-ion insertion batteries.
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Affiliation(s)
- I Santamaría-Holek
- UMDIJ-Facultad de Ciencias, Universidad Nacional Autónoma de México Campus Juriquilla, Querétaro 76230, México
| | - A Pérez-Madrid
- Departament de Física Fonamental, Facultat de Física, Universitat de Barcelona, Marti i Franques 1, 08028 Barcelona, Spain
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7
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Ceriotti M, Tribello GA, Parrinello M. Demonstrating the Transferability and the Descriptive Power of Sketch-Map. J Chem Theory Comput 2013; 9:1521-32. [DOI: 10.1021/ct3010563] [Citation(s) in RCA: 92] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Affiliation(s)
- Michele Ceriotti
- Physical and Theoretical Chemistry
Laboratory, University of Oxford, South Parks Road, Oxford OX1 3QZ,
United Kingdom
| | - Gareth A. Tribello
- Computational
Science, Department
of Chemistry and Applied Biosciences, ETH Zurich and Facoltà
di Informatica, Instituto di Scienza Computationali, Università della Svizzera Italiana, Via Giuseppe
Buffi 13, CH-6900, Lugano, Switzerland
| | - Michele Parrinello
- Computational
Science, Department
of Chemistry and Applied Biosciences, ETH Zurich and Facoltà
di Informatica, Instituto di Scienza Computationali, Università della Svizzera Italiana, Via Giuseppe
Buffi 13, CH-6900, Lugano, Switzerland
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8
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Susan A, Kibey A, Kaware V, Joshi K. Correlation between the variation in observed melting temperatures and structural motifs of the global minima of gallium clusters: An ab initio study. J Chem Phys 2013; 138:014303. [DOI: 10.1063/1.4772470] [Citation(s) in RCA: 14] [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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9
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Lemarchand CA. Molecular dynamics simulations of a hard sphere crystal and reaction-like mechanism for homogeneous melting. J Chem Phys 2012; 136:234505. [DOI: 10.1063/1.4729753] [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
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10
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Kang J, Wei SH, Kim YH. Origin of the Diverse Melting Behaviors of Intermediate-Size Nanoclusters: Theoretical Study of AlN (N = 51−58, 64). J Am Chem Soc 2010; 132:18287-91. [DOI: 10.1021/ja107683m] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Joongoo Kang
- National Renewable Energy Laboratory, Golden, Colorado 80401, United States Graduate School of Nanoscience and Technology (WCU), KAIST, Daejeon 305-701, Korea
| | - Su-Huai Wei
- National Renewable Energy Laboratory, Golden, Colorado 80401, United States Graduate School of Nanoscience and Technology (WCU), KAIST, Daejeon 305-701, Korea
| | - Yong-Hyun Kim
- National Renewable Energy Laboratory, Golden, Colorado 80401, United States Graduate School of Nanoscience and Technology (WCU), KAIST, Daejeon 305-701, Korea
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11
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12
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Schön JC, Jansen M. Determination of candidate structures for Lennard-Jones-crystals through cell optimisation. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bbpc.19940981207] [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]
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13
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Kang J, Kim YH. Half-solidity of tetrahedral-like Al(55) clusters. ACS NANO 2010; 4:1092-1098. [PMID: 20055435 DOI: 10.1021/nn901536a] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
A new dynamic melting state, which has both solid and liquid characteristics, is revealed from first-principles molecular dynamics simulations of Al(55) clusters. In thermal fluctuations near the melting point, the low-energy tetrahedral-like Al(55) survives through rapid, collective surface transformations-such as parity conversions and correlated diffusion of two distant vacancies-without losing its structural orders. The emergence of the collective motions is solely due to efficient thermal excitation of soft phonon modes at nanoscale. A series of spontaneous surface reconfigurations result in a mixture or effective flow of surface atoms as is random color shuffling of a Rubik's cube. This novel flexible solid state (termed as half-solidity) provides useful insights into understanding stability, flexibility, and functionality of nanosystems near or below melting temperatures.
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Affiliation(s)
- Joongoo Kang
- National Renewable Energy Laboratory, Golden, CO 80401, USA
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14
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15
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Böning J, Filinov A, Ludwig P, Baumgartner H, Bonitz M, Lozovik YE. Melting of trapped few-particle systems. PHYSICAL REVIEW LETTERS 2008; 100:113401. [PMID: 18517784 DOI: 10.1103/physrevlett.100.113401] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/08/2007] [Indexed: 05/26/2023]
Abstract
In small confined systems predictions for the melting point strongly depend on the choice of quantity and on the way it is computed, even yielding divergent and ambiguous results. We present a very simple quantity that allows us to control these problems-the variance of the block averaged interparticle distance fluctuations.
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Affiliation(s)
- J Böning
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, D-24098 Kiel, Germany
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16
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Wales DJ, Doye JPK, Miller MA, Mortenson PN, Walsh TR. Energy Landscapes: From Clusters to Biomolecules. ADVANCES IN CHEMICAL PHYSICS 2007. [DOI: 10.1002/9780470141748.ch1] [Citation(s) in RCA: 123] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
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17
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Duan H, Ding F, Rosén A, Harutyunyan AR, Curtarolo S, Bolton K. Size dependent melting mechanisms of iron nanoclusters. Chem Phys 2007. [DOI: 10.1016/j.chemphys.2007.01.005] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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18
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Call ST, Zubarev DY, Boldyrev AI. Global minimum structure searches via particle swarm optimization. J Comput Chem 2007; 28:1177-86. [PMID: 17299774 DOI: 10.1002/jcc.20621] [Citation(s) in RCA: 116] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023]
Abstract
Novel implementation of the evolutionary approach known as particle swarm optimization (PSO) capable of finding the global minimum of the potential energy surface of atomic assemblies is reported. This is the first time the PSO technique has been used to perform global optimization of minimum structure search for chemical systems. Significant improvements have been introduced to the original PSO algorithm to increase its efficiency and reliability and adapt it to chemical systems. The developed software has successfully found the lowest-energy structures of the LJ(26) Lennard-Jones cluster, anionic silicon hydride Si(2)H(5) (-), and triply hydrated hydroxide ion OH(-) (H(2)O)(3). It requires relatively small population sizes and demonstrates fast convergence. Efficiency of PSO has been compared with simulated annealing, and the gradient embedded genetic algorithm.
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Affiliation(s)
- Seth T Call
- Department of Computer Science, Utah State University, Logan, Utah 84322-0300, USA
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19
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Noya EG, Doye JPK. Structural transitions in the 309-atom magic number Lennard-Jones cluster. J Chem Phys 2006; 124:104503. [PMID: 16542084 DOI: 10.1063/1.2173260] [Citation(s) in RCA: 66] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The thermal behavior of the 309-atom Lennard-Jones cluster, whose structure is a complete Mackay icosahedron, has been studied by parallel tempering Monte Carlo simulations. Surprisingly for a magic number cluster, the heat capacity shows a very pronounced peak before melting, which is attributed to several coincident structural transformation processes. The main transformation is somewhat akin to surface roughening and involves a cooperative condensation of vacancies and adatoms that leads to the formation of pits and islands one or two layers thick on the Mackay icosahedron. The second transition in order of importance involves a whole scale transformation of the cluster structure and leads to a diverse set of twinned structures that are assemblies of face-centered-cubic tetrahedra with six atoms along their edges, i.e., one atom more than the edges of the 20 tetrahedra that make up the 309-atom Mackay icosahedron. A surface reconstruction of the icosahedron from a Mackay to an anti-Mackay overlayer is also observed, but with a lower probability.
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Affiliation(s)
- Eva G Noya
- University Chemical Laboratory, Cambridge CB2 1EW, United Kingdom
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20
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21
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Alavi S, Thompson DL. A molecular-dynamics study of structural and physical properties of nitromethane nanoparticles. J Chem Phys 2004; 120:10231-9. [PMID: 15268047 DOI: 10.1063/1.1730074] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The structural and physical properties of nanoparticles of nitromethane are studied by using molecular dynamics methods with a previously developed force field. [Agrawal et al., J. Chem. Phys. 119, 9617 (2003).] This force field accurately predicts solid- and liquid-state properties as well as melting of bulk nitromethane. Molecular dynamics simulations of nanoparticles with 480, 240, 144, 96, 48, and 32 nitromethane molecules have been carried out at various temperatures. The carbon-carbon radial distribution function, dipole-dipole correlation function, core density, internal enthalpy, and atomic diffusion coefficients of the nanoparticles were calculated at each temperature. These properties were used to characterize the physical phases and thus determine the melting transitions of the nanoparticles. The melting temperatures predicted by the various properties are consistent with one another and show that the melting temperature increases with particle size, approaching the bulk limit for the largest particle. A size dependence of melting points has been observed in experimental and theoretical studies of atomic nanoparticles, and this is a further demonstration of the effect for large nanoparticles of complex molecular materials.
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Affiliation(s)
- Saman Alavi
- Department of Chemistry, Oklahoma State University, Stillwater, OK 74078, USA.
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22
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Abstract
Melting in Na(n) clusters described with an empirical embedded-atom potential has been reexamined in the size range 55</=n</=147 with a special attention at sizes close to 130. Contrary to previous findings, premelting effects are also present at such medium sizes, and they turn out to be even stronger than the melting process itself for Na(133) or Na(135). These results indicate that the empirical potential is qualitatively inadequate to model sodium clusters.
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Affiliation(s)
- F Calvo
- Laboratoire de Physique Quantique, IRSAMC, Université Paul Sabatier, 118 Route de Narbonne, F31062 Toulouse Cedex, France
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23
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24
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Westergren J, Nordholm S, Rosén A. Melting of palladium clusters—Canonical and microcanonical Monte Carlo simulation. Phys Chem Chem Phys 2003. [DOI: 10.1039/b208653k] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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25
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Linhananta A, Zhou Y. The role of sidechain packing and native contact interactions in folding: Discontinuous molecular dynamics folding simulations of an all-atom Gō model of fragment B of Staphylococcal protein A. J Chem Phys 2002. [DOI: 10.1063/1.1514574] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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26
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Zhou Y, Karplus M, Ball KD, Berry RS. The distance fluctuation criterion for melting: Comparison of square-well and Morse potential models for clusters and homopolymers. J Chem Phys 2002. [DOI: 10.1063/1.1426419] [Citation(s) in RCA: 189] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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27
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Zhou Y, Linhananta A. Thermodynamics of an All-Atom Off-Lattice Model of the Fragment B of Staphylococcal Protein A: Implication for the Origin of the Cooperativity of Protein Folding. J Phys Chem B 2002. [DOI: 10.1021/jp013824r] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Yaoqi Zhou
- Department of Physiology & Biophysics, State University of New York at Buffalo, 124 Sherman Hall, Buffalo, New York 14214
| | - Apichart Linhananta
- Department of Physiology & Biophysics, State University of New York at Buffalo, 124 Sherman Hall, Buffalo, New York 14214
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28
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29
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Nigra P, Carignano MA, Kais S. Study of phase changes of the water octamer using parallel tempering and multihistogram methods. J Chem Phys 2001. [DOI: 10.1063/1.1385795] [Citation(s) in RCA: 43] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023] Open
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30
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Doye JP, Calvo F. Entropic effects on the size dependence of cluster structure. PHYSICAL REVIEW LETTERS 2001; 86:3570-3. [PMID: 11328025 DOI: 10.1103/physrevlett.86.3570] [Citation(s) in RCA: 84] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/22/2000] [Revised: 02/15/2001] [Indexed: 05/18/2023]
Abstract
We show that the vibrational entropy can play a crucial role in determining the equilibrium structure of clusters by constructing structural phase diagrams showing how the structure depends upon both size and temperature. These phase diagrams are obtained for example rare gas and metal clusters.
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Affiliation(s)
- J P Doye
- University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom
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31
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Umirzakov IH. Exact equilibrium statistical mechanics of two particles interacting via Lennard-Jones and Morse potentials. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 2000; 61:7188-7191. [PMID: 11088416 DOI: 10.1103/physreve.61.7188] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/14/1999] [Revised: 12/17/1999] [Indexed: 05/23/2023]
Abstract
The exact classical statistical phase-space volume is obtained for a finite system consisting of two particles interacting via both Lennard-Jones and Morse potentials and confined in a spherical volume. The case when the center of mass of the system is fixed at the center of the sphere is also considered. It is shown that the microcanonical caloric curve of the system can have properties similar to those of large clusters, and the equation of state of the system can have behavior similar to that of bulk systems. It is also shown that the fixing of the center of mass of the system can appreciably change the properties of the microcanonical caloric curve and the equation of state of the system.
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Affiliation(s)
- I H Umirzakov
- Institute of Thermophysics, Novosibirsk 630090, Russia
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32
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Borrmann P, Stamerjohanns H, Hilf ER, Jund P, Kim SG, Tománek D. Thermodynamics of finite magnetic two-isomer systems. J Chem Phys 1999. [DOI: 10.1063/1.480423] [Citation(s) in RCA: 6] [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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33
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Umirzakov IH. Van der Waals type loop in microcanonical caloric curves of finite systems. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999; 60:7550-3. [PMID: 11970706 DOI: 10.1103/physreve.60.7550] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/26/1999] [Indexed: 04/18/2023]
Abstract
The entropy is usually related to the energy density of states. This relation is approximate for the finite systems (clusters) and an exact relation connects the entropy with the phase volume of the system. These relations give the same results only in the thermodynamic limit. We consider the microcanonical caloric curves determined via both the approximate and exact relations. It is proved that if the caloric curve obtained from the exact relation has a van der Waals type loop (or S bend), then the caloric curve obtained from the approximate relation has S-bend, and the reverse statement is not correct. Using properties of the system at low and high energies we have shown that a van der Waals type loop in the caloric curve of the finite system requires a positive value of the second derivative of the logarithm of the canonical total energy distribution function at least at one value of the energy. The latter is the weaker necessary condition for S-bend to occur in the caloric curve than that obtained earlier.
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Affiliation(s)
- I H Umirzakov
- Institute of Thermophysics, Novosibirsk 630090, Russia
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34
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Doye JPK, Miller MA, Wales DJ. Evolution of the potential energy surface with size for Lennard-Jones clusters. J Chem Phys 1999. [DOI: 10.1063/1.480217] [Citation(s) in RCA: 199] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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35
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Vekhter B, Berry RS. Modeling self-assembling of proteins: Assembled structures, relaxation dynamics, and phase coexistence. J Chem Phys 1999. [DOI: 10.1063/1.477831] [Citation(s) in RCA: 35] [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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36
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Mehra V, Prasad A, Ramaswamy R. Melting behavior of heterogenous atomic clusters: Gapless coexisting phases in (Ar–Xe)13. J Chem Phys 1999. [DOI: 10.1063/1.478110] [Citation(s) in RCA: 2] [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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37
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Phases and Phase Changes of Small Systems. ACTA ACUST UNITED AC 1999. [DOI: 10.1007/978-3-642-58389-6_1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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38
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Doye JPK, Wales DJ, Miller MA. Thermodynamics and the global optimization of Lennard-Jones clusters. J Chem Phys 1998. [DOI: 10.1063/1.477477] [Citation(s) in RCA: 158] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Zhou Y, Karplus M, Wichert JM, Hall CK. Equilibrium thermodynamics of homopolymers and clusters: Molecular dynamics and Monte Carlo simulations of systems with square-well interactions. J Chem Phys 1997. [DOI: 10.1063/1.474186] [Citation(s) in RCA: 165] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Wales DJ, Doye JPK. Global Optimization by Basin-Hopping and the Lowest Energy Structures of Lennard-Jones Clusters Containing up to 110 Atoms. J Phys Chem A 1997. [DOI: 10.1021/jp970984n] [Citation(s) in RCA: 2261] [Impact Index Per Article: 83.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- David J. Wales
- University Chemical Laboratories, Lensfield Road, Cambridge CB2 1EW, U.K
| | - Jonathan P. K. Doye
- FOM Institute for Atomic and Molecular Physics, Kruislaan 407, 1098 SJ Amsterdam, The Netherlands
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Vekhter B, Berry RS. Phase coexistence in clusters: An “experimental” isobar and an elementary model. J Chem Phys 1997. [DOI: 10.1063/1.473636] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Vekhter B, Ball KD, Rose J, Berry RS. Vibrational relaxation of clusters: Relation to potential surface topography. J Chem Phys 1997. [DOI: 10.1063/1.473502] [Citation(s) in RCA: 29] [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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Rytkönen A, Valkealahti S, Manninen M. Melting and evaporation of argon clusters. J Chem Phys 1997. [DOI: 10.1063/1.473327] [Citation(s) in RCA: 53] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Chitra R, Yashonath S. Inverse Surface Melting in Confined Clusters: Ar13 in Zeolite L. J Phys Chem B 1997. [DOI: 10.1021/jp961872j] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- R. Chitra
- Solid State and Structural Chemistry Unit and Supercomputer Education and Research Centre, Indian Institute of Science, Bangalore 560012, India
| | - S. Yashonath
- Solid State and Structural Chemistry Unit and Supercomputer Education and Research Centre, Indian Institute of Science, Bangalore 560012, India
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Zhou Y, Hall CK, Karplus M. First-Order Disorder-to-Order Transition in an Isolated Homopolymer Model. PHYSICAL REVIEW LETTERS 1996; 77:2822-2825. [PMID: 10062054 DOI: 10.1103/physrevlett.77.2822] [Citation(s) in RCA: 104] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Calvo F, Labastie P. Evidence for surface melting in clusters made of double icosahedron units. Chem Phys Lett 1996. [DOI: 10.1016/0009-2614(96)00608-2] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Schön JC, Jansen M. Auf dem Weg zur Syntheseplanung in der Festkörperchemie: Vorhersage existenzfähiger Strukturkandidaten mit Verfahren zur globalen Strukturoptimierung. Angew Chem Int Ed Engl 1996. [DOI: 10.1002/ange.19961081204] [Citation(s) in RCA: 70] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Maillet JB, Boutin A, Fuchs AH. Numerical evidence of an embryonic orientational phase transition in small nitrogen clusters. PHYSICAL REVIEW LETTERS 1996; 76:4336-4339. [PMID: 10061264 DOI: 10.1103/physrevlett.76.4336] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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