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García-Alfonso E, Barranco M, Bonhommeau DA, Halberstadt N, Pi M, Calvo F. Clustering, collision, and relaxation dynamics in pure and doped helium nanoclusters: Density- vs particle-based approaches. J Chem Phys 2022; 157:014106. [DOI: 10.1063/5.0091942] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The clustering, collision, and relaxation dynamics of pristine and doped helium nanodroplets is theoretically investigated in cases of pickup and clustering of heliophilic argon, collision of heliophobic cesium atoms, and coalescence of two droplets brought into contact by their mutual long-range van der Waals interaction. Three approaches are used and compared with each other. The He time-dependent density functional theory method considers the droplet as a continuous medium and accounts for its superfluid character. The ring-polymer molecular dynamics method uses a path-integral description of nuclear motion and incorporates zero-point delocalization while bosonic exchange effects are ignored. Finally, the zero-point averaged dynamics approach is a mixed quantum–classical method in which quantum delocalization is described by attaching a frozen wavefunction to each He atom, equivalent to classical dynamics with effective interaction potentials. All three methods predict that the growth of argon clusters is significantly hindered by the helium host droplet due to the impeding shell structure around the dopants and kinematic effects freezing the growing cluster in metastable configurations. The effects of superfluidity are qualitatively manifested by different collision dynamics of the heliophilic atom at high velocities, as well as quadrupole oscillations that are not seen with particle-based methods, for droplets experiencing a collision with cesium atoms or merging with each other.
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Affiliation(s)
- Ernesto García-Alfonso
- Laboratoire Collisions, Agrégats, Réactivité (LCAR), Université de Toulouse, CNRS, 31062 Toulouse, France
| | - Manuel Barranco
- Laboratoire Collisions, Agrégats, Réactivité (LCAR), Université de Toulouse, CNRS, 31062 Toulouse, France
- Department FQA, Facultat de Física, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain
- Institute of Nanoscience and Nanotechnology (IN2UB), Universitat de Barcelona, Barcelona, Spain
| | - David A. Bonhommeau
- Université de Reims Champagne Ardenne, CNRS, GSMA UMR 7331, 51100 Reims, France
| | - Nadine Halberstadt
- Laboratoire Collisions, Agrégats, Réactivité (LCAR), Université de Toulouse, CNRS, 31062 Toulouse, France
| | - Martí Pi
- Department FQA, Facultat de Física, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain
- Institute of Nanoscience and Nanotechnology (IN2UB), Universitat de Barcelona, Barcelona, Spain
| | - Florent Calvo
- Université Grenoble Alpes, CNRS, LIPHY, F38000 Grenoble, France
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2
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Samala N, Agmon N. Thermally Induced Hydrogen-Bond Rearrangements in Small Water Clusters and the Persistent Water Tetramer. ACS OMEGA 2019; 4:22581-22590. [PMID: 31909342 PMCID: PMC6941388 DOI: 10.1021/acsomega.9b03326] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/08/2019] [Accepted: 11/26/2019] [Indexed: 06/10/2023]
Abstract
Small water clusters absorb heat and catalyze pivotal atmospheric reactions. Yet, experiments produced conflicting results on water cluster distribution under atmospheric conditions. Additionally, it is unclear which "phase transitions" such clusters exhibit, at what temperatures, and what are their underlying molecular mechanisms. We find that logarithmically small tails in the radial probability densities of (H2O) n clusters (n = 2 - 6) provide direct testimony for such transitions. Using the best available water potential (MB-pol), an advanced thermostating algorithm (g-BAOAB), and sufficiently long trajectories, we map the "bifurcation", "melting", and (hitherto unexplored) "vaporization" transitions, finding that both melting and vaporization proceed via a "monomer on a ring" conformer, exhibiting huge distance fluctuations at the vaporization temperatures (T v). T v may play a role in determining the atmospheric cluster size distribution such that the dimer and tetramer, with their exceptionally low/high T v values, are under/over-represented in these distributions, as indeed observed in nondestructive mass spectrometric measurements.
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3
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Leitner DM, Yamato T. MAPPING ENERGY TRANSPORT NETWORKS IN PROTEINS. REVIEWS IN COMPUTATIONAL CHEMISTRY 2018. [DOI: 10.1002/9781119518068.ch2] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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4
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Shigeta Y, Harada R, Sato R, Kitoh-Nishioka H, Bui TKM, Sato A, Tokiwa T, Kyan A, Ishii Y, Kimatsuka M, Yamasaki S, Kayanuma M, Shoji M. Classical cumulant dynamics for statistical chemical physics. MOLECULAR SIMULATION 2017. [DOI: 10.1080/08927022.2017.1315770] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Yasuteru Shigeta
- Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan
| | - Ryuhei Harada
- Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan
| | - Ryuma Sato
- Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan
| | | | - Thi Kieu My Bui
- Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan
| | - Akimasa Sato
- Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan
| | - Takaki Tokiwa
- Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan
| | - Akane Kyan
- Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan
| | - Yuki Ishii
- Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan
| | - Masato Kimatsuka
- Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan
| | - Sotaro Yamasaki
- Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan
| | - Megumi Kayanuma
- Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan
| | - Mitsuo Shoji
- Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan
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5
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Pandey HD, Leitner DM. Thermodynamics of Hydration Water around an Antifreeze Protein: A Molecular Simulation Study. J Phys Chem B 2017; 121:9498-9507. [DOI: 10.1021/acs.jpcb.7b05892] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Hari Datt Pandey
- Department of Chemistry and
Chemical Physics Program, University of Nevada, Reno, Nevada 89557, United States
| | - David M. Leitner
- Department of Chemistry and
Chemical Physics Program, University of Nevada, Reno, Nevada 89557, United States
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6
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Brown SE, Götz AW, Cheng X, Steele RP, Mandelshtam VA, Paesani F. Monitoring Water Clusters “Melt” Through Vibrational Spectroscopy. J Am Chem Soc 2017; 139:7082-7088. [DOI: 10.1021/jacs.7b03143] [Citation(s) in RCA: 55] [Impact Index Per Article: 7.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Affiliation(s)
| | | | - Xiaolu Cheng
- Department
of Chemistry and Henry Eyring Center for Theoretical Chemistry, University of Utah, Salt Lake City, Utah 84112, United States
| | - Ryan P. Steele
- Department
of Chemistry and Henry Eyring Center for Theoretical Chemistry, University of Utah, Salt Lake City, Utah 84112, United States
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7
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Coughtrie DJ, Tew DP. A Gaussian wave packet phase-space representation of quantum canonical statistics. J Chem Phys 2015; 143:044102. [DOI: 10.1063/1.4927235] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- David J. Coughtrie
- School of Chemistry, University of Bristol, Bristol BS8 1TS, United Kingdom
| | - David P. Tew
- School of Chemistry, University of Bristol, Bristol BS8 1TS, United Kingdom
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8
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Vítek A, Kalus R. Phase transitions in free water nanoparticles. Theoretical modeling of [H2O]48 and [H2O]118. Phys Chem Chem Phys 2015; 17:10532-7. [PMID: 25804607 DOI: 10.1039/c4cp04909h] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Classical parallel-tempering Monte Carlo simulations of [H2O]48 and [H2O]118 have been performed in the isothermal-isobaric ensemble and a two-dimensional multiple-histogram method has been used to calculate the heat capacity of the two clusters. A semiempirical procedure is proposed for the inclusion of quantum effects and transformed heat capacity profiles are compared with state-of-the-art experimental data [C. Hock et al., Phys. Rev. Lett., 2009, 103, 073401]. A very good agreement is achieved. A detailed analysis of the simulation data is provided to gain an insight into the nature of the phase change which takes place in the two clusters at T ≈ 100 K.
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Affiliation(s)
- Aleš Vítek
- IT4Innovations National Supercomputing Center, VSB - Technical University of Ostrava, 17. listopadu 15, 708 33 Ostrava, Czech Republic.
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9
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Hernández-Rojas J, Calvo F, Noya EG. Applicability of Quantum Thermal Baths to Complex Many-Body Systems with Various Degrees of Anharmonicity. J Chem Theory Comput 2015; 11:861-70. [DOI: 10.1021/ct500678z] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Javier Hernández-Rojas
- Departamento
de Física and IUdEA, Universidad de La Laguna, 38205, La Laguna, Tenerife, Spain
| | - Florent Calvo
- Laboratoire
Interdisciplinaire
de Physique, Rue de la Piscine, Campus Saint Martin d’Hères, 38000 Grenoble, France
| | - Eva Gonzalez Noya
- Instituto
Química-Física Rocasolano, Consejo Superior de Investigaciones Científicas, Calle Serrano 119, 28006 Madrid, Spain
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10
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Saller MAC, Habershon S. Basis Set Generation for Quantum Dynamics Simulations Using Simple Trajectory-Based Methods. J Chem Theory Comput 2014; 11:8-16. [DOI: 10.1021/ct500657f] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Maximilian A. C. Saller
- Department
of Chemistry and
Centre for Scientific Computing, University of Warwick, Coventry, CV4 7AL, United Kingdom
| | - Scott Habershon
- Department
of Chemistry and
Centre for Scientific Computing, University of Warwick, Coventry, CV4 7AL, United Kingdom
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11
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Coughtrie DJ, Tew DP. The Nosé-Hoover looped chain thermostat for low temperature thawed Gaussian wave-packet dynamics. J Chem Phys 2014; 140:194106. [PMID: 24852529 DOI: 10.1063/1.4875517] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We have used a generalised coherent state resolution of the identity to map the quantum canonical statistical average for a general system onto a phase-space average over the centre and width parameters of a thawed Gaussian wave packet. We also propose an artificial phase-space density that has the same behaviour as the canonical phase-space density in the low-temperature limit, and have constructed a novel Nosé-Hoover looped chain thermostat that generates this density in conjunction with variational thawed Gaussian wave-packet dynamics. This forms a new platform for evaluating statistical properties of quantum condensed-phase systems that has an explicit connection to the time-dependent Schrödinger equation, whilst retaining many of the appealing features of path-integral molecular dynamics.
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Affiliation(s)
- David J Coughtrie
- Centre for Computational Chemistry, School of Chemistry, University of Bristol, Bristol BS8 1TS, United Kingdom
| | - David P Tew
- Centre for Computational Chemistry, School of Chemistry, University of Bristol, Bristol BS8 1TS, United Kingdom
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12
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13
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14
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Habershon S. Path integral density matrix dynamics: A method for calculating time-dependent properties in thermal adiabatic and non-adiabatic systems. J Chem Phys 2013; 139:104107. [DOI: 10.1063/1.4819322] [Citation(s) in RCA: 7] [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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15
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Akimov AV, Neukirch AJ, Prezhdo OV. Theoretical Insights into Photoinduced Charge Transfer and Catalysis at Oxide Interfaces. Chem Rev 2013; 113:4496-565. [DOI: 10.1021/cr3004899] [Citation(s) in RCA: 402] [Impact Index Per Article: 36.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
Affiliation(s)
- Alexey V. Akimov
- Department of Chemistry, University of Rochester, Rochester, New York 14627,
United States
- Chemistry
Department, Brookhaven National Laboratory, Upton, New York 11973-5000,
United States
| | - Amanda J. Neukirch
- Department
of Physics and Astronomy, University of Rochester, Rochester, New York 14627,
United States
| | - Oleg V. Prezhdo
- Department of Chemistry, University of Rochester, Rochester, New York 14627,
United States
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16
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Akimov AV, Prezhdo OV. Formulation of quantized Hamiltonian dynamics in terms of natural variables. J Chem Phys 2012; 137:224115. [DOI: 10.1063/1.4770224] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [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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Cartarius H, Pollak E. First-order corrections to semiclassical Gaussian partition functions for clusters of atoms. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2011.06.020] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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18
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Conte R, Pollak E. Continuum limit frozen Gaussian approximation for the reduced thermal density matrix of dissipative systems. J Chem Phys 2012; 136:094101. [DOI: 10.1063/1.3682241] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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19
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Garashchuk S. Calculation of the zero-point energy from imaginary-time quantum trajectory dynamics in Cartesian coordinates. Theor Chem Acc 2012. [DOI: 10.1007/s00214-011-1083-9] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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20
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Georgescu I, Mandelshtam VA. A fast variational Gaussian wavepacket method: Size-induced structural transitions in large neon clusters. J Chem Phys 2011; 135:154106. [DOI: 10.1063/1.3651473] [Citation(s) in RCA: 8] [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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21
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Kaneko T, Akimoto T, Yasuoka K, Mitsutake A, Zeng XC. Size-Dependent Phase Changes in Water Clusters. J Chem Theory Comput 2011; 7:3083-7. [DOI: 10.1021/ct200458m] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Affiliation(s)
| | | | | | | | - Xiao Cheng Zeng
- Department of Chemistry, University of Nebraska-Lincoln, Lincoln, Nebraska 68588, United States
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22
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Georgescu I, Deckman J, Fredrickson LJ, Mandelshtam VA. Thermal Gaussian molecular dynamics for quantum dynamics simulations of many-body systems: Application to liquid para-hydrogen. J Chem Phys 2011; 134:174109. [PMID: 21548675 DOI: 10.1063/1.3585648] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Ionut Georgescu
- Chemistry Department, University of California at Irvine, Irvine, California 92697, USA.
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23
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Holden GL, Freeman DL. Monte Carlo Investigation of the Thermodynamic Properties of (H2O)n and (H2O)nH2 (n = 2−20) Clusters. J Phys Chem B 2011; 115:4725-44. [DOI: 10.1021/jp201082p] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Glen L. Holden
- Department of Chemistry, University of Rhode Island, Kingston, Rhode Island 02881, United States
| | - David L. Freeman
- Department of Chemistry, University of Rhode Island, Kingston, Rhode Island 02881, United States
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24
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Cartarius H, Pollak E. Imaginary time Gaussian dynamics of the Ar3 cluster. J Chem Phys 2011; 134:044107. [DOI: 10.1063/1.3530592] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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25
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Jansen R, Wysong I, Gimelshein S, Zeifman M, Buck U. Nonequilibrium numerical model of homogeneous condensation in argon and water vapor expansions. J Chem Phys 2010; 132:244105. [DOI: 10.1063/1.3447379] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.1] [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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Hernández-Rojas J, Calvo F, Rabilloud F, Bretón J, Gomez Llorente JM. Modeling Water Clusters on Cationic Carbonaceous Seeds. J Phys Chem A 2010; 114:7267-74. [DOI: 10.1021/jp101584n] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- J. Hernández-Rojas
- Departamento de Física Fundamental II and IUdEA, Universidad de La Laguna, 38205, La Laguna, Tenerife, Spain, and LASIM, Université de Lyon and CNRS UMR 5579, Bât. A. Kastler, 43 Bd du 11 Novembre 1918, F69622 Villeurbanne Cedex, France
| | - F. Calvo
- Departamento de Física Fundamental II and IUdEA, Universidad de La Laguna, 38205, La Laguna, Tenerife, Spain, and LASIM, Université de Lyon and CNRS UMR 5579, Bât. A. Kastler, 43 Bd du 11 Novembre 1918, F69622 Villeurbanne Cedex, France
| | - F. Rabilloud
- Departamento de Física Fundamental II and IUdEA, Universidad de La Laguna, 38205, La Laguna, Tenerife, Spain, and LASIM, Université de Lyon and CNRS UMR 5579, Bât. A. Kastler, 43 Bd du 11 Novembre 1918, F69622 Villeurbanne Cedex, France
| | - J. Bretón
- Departamento de Física Fundamental II and IUdEA, Universidad de La Laguna, 38205, La Laguna, Tenerife, Spain, and LASIM, Université de Lyon and CNRS UMR 5579, Bât. A. Kastler, 43 Bd du 11 Novembre 1918, F69622 Villeurbanne Cedex, France
| | - J. M. Gomez Llorente
- Departamento de Física Fundamental II and IUdEA, Universidad de La Laguna, 38205, La Laguna, Tenerife, Spain, and LASIM, Université de Lyon and CNRS UMR 5579, Bât. A. Kastler, 43 Bd du 11 Novembre 1918, F69622 Villeurbanne Cedex, France
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Conte R, Pollak E. Comparison between different Gaussian series representations of the imaginary time propagator. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 81:036704. [PMID: 20365901 DOI: 10.1103/physreve.81.036704] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/20/2009] [Revised: 01/27/2010] [Indexed: 05/29/2023]
Abstract
A useful approximation for the thermal operator exp(-betaH[over ]) is based on its representation in terms of either frozen or thawed Gaussian states. Such approximate representations are leading-order terms in respective series representations of the thermal operator. A numerical study of the convergence properties of the frozen Gaussian series representation has been recently published. In this paper, we extend the previous study to include also the convergence properties of the more expensive thawed Gaussian series representation of the thermal operator. We consider three different formulations for the series representation and apply them to a quartic double-well potential to find that the thawed Gaussian series representation converges faster than the frozen Gaussian one. Further analysis is presented as to the convergence properties and the numerical efficiency of three different thawed Gaussian series representation. The unsymmetrized form converges most rapidly, however, the lower order approximations of the symmetrized forms are more accurate. Comparison with a standard discretized path-integral evaluation demonstrates that the Gaussian based perturbation series representation converges much faster.
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Affiliation(s)
- Riccardo Conte
- Chemical Physics Department, Weizmann Institute of Science, 76100 Rehovoth, Israel.
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28
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González BS, Noya EG, Vega C, Sesé LM. Nuclear Quantum Effects in Water Clusters: The Role of the Molecular Flexibility. J Phys Chem B 2010; 114:2484-92. [DOI: 10.1021/jp910770y] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Briesta S. González
- Departamento Química Física I, Facultad de Ciencias Químicas, Universidad Complutense de Madrid, 28040 Madrid, Spain
| | - Eva G. Noya
- Departamento Química Física I, Facultad de Ciencias Químicas, Universidad Complutense de Madrid, 28040 Madrid, Spain
| | - Carlos Vega
- Departamento Química Física I, Facultad de Ciencias Químicas, Universidad Complutense de Madrid, 28040 Madrid, Spain
| | - Luis M. Sesé
- Departamento Ciencias y Técnicas Fisicoquímicas, Facultad de Ciencias, UNED, Paseo Senda del Rey 9, 28040 Madrid, Spain
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29
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Asare E, Musah AR, Curotto E, Freeman DL, Doll JD. The thermodynamic and ground state properties of the TIP4P water octamer. J Chem Phys 2009; 131:184508. [DOI: 10.1063/1.3259047] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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30
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Hock C, Schmidt M, Kuhnen R, Bartels C, Ma L, Haberland H, van Issendorff B. Calorimetric observation of the melting of free water nanoparticles at cryogenic temperatures. PHYSICAL REVIEW LETTERS 2009; 103:073401. [PMID: 19792643 DOI: 10.1103/physrevlett.103.073401] [Citation(s) in RCA: 65] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/20/2009] [Indexed: 05/28/2023]
Abstract
We present an experimental study of the thermodynamics of free, size-selected water cluster anions consisting of 48 and 118 molecules. The measured caloric curves of the clusters are bulklike at low temperatures but show a well-defined, particle-size specific transition at 93+/-3 K for (H2O)48- and 118+/-3 K for (H2O)118-. At the transition temperature the heat capacity strongly increases, which marks the onset of melting.
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Affiliation(s)
- C Hock
- Universität Freiburg, Hermann-Herder-Strasse 3, Freiburg 79104, Germany
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31
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Zhang DH, Shao J, Pollak E. Frozen Gaussian series representation of the imaginary time propagator theory and numerical tests. J Chem Phys 2009; 131:044116. [PMID: 19655846 DOI: 10.1063/1.3190328] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Thawed Gaussian wavepackets have been used in recent years to compute approximations to the thermal density matrix. From a numerical point of view, it is cheaper to employ frozen Gaussian wavepackets. In this paper, we provide the formalism for the computation of thermal densities using frozen Gaussian wavepackets. We show that the exact density may be given in terms of a series, in which the zeroth order term is the frozen Gaussian. A numerical test of the methodology is presented for deep tunneling in the quartic double well potential. In all cases, the series is observed to converge. The convergence of the diagonal density matrix element is much faster than that of the antidiagonal one, suggesting that the methodology should be especially useful for the computation of partition functions. As a by product of this study, we find that the density matrix in configuration space can have more than two saddle points at low temperatures. This has implications for the use of the quantum instanton theory.
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Affiliation(s)
- Dong H Zhang
- Center of Theory and Computational Chemistry and State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
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32
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Deckman J, Mandelshtam VA. Effects of Quantum Delocalization on Structural Changes in Lennard-Jones Clusters. J Phys Chem A 2009; 113:7394-402. [DOI: 10.1021/jp900095f] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Affiliation(s)
- Jason Deckman
- Chemistry Department, University of California at Irvine, Irvine, California 92697
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33
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Calvo F, Parneix P, Basire M. Quantum densities of states of fluxional polyatomic systems from a superposition approximation. J Chem Phys 2009; 130:154101. [DOI: 10.1063/1.3115178] [Citation(s) in RCA: 6] [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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Douady J, Calvo F, Spiegelman F. Structure, stability, and infrared spectroscopy of (H2O)nNH4+ clusters: A theoretical study at zero and finite temperature. J Chem Phys 2008; 129:154305. [DOI: 10.1063/1.2987304] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Liu J, Miller WH. Linearized semiclassical initial value time correlation functions with maximum entropy analytic continuation. J Chem Phys 2008; 129:124111. [PMID: 19045010 DOI: 10.1063/1.2981065] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Jian Liu
- Department of Chemistry and K. S. Pitzer Center for Theoretical Chemistry, University of California, Berkeley, California 94720-1460, USA
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Deckman J, Frantsuzov PA, Mandelshtam VA. Quantum transitions in Lennard-Jones clusters. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2008; 77:052102. [PMID: 18643115 DOI: 10.1103/physreve.77.052102] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/10/2008] [Indexed: 05/26/2023]
Abstract
The ground states of Lennard-Jones (LJ) clusters are estimated by finding the Gaussian wave packets that minimize the energy functional. A "phase diagram" for LJ_{n} as a function of size (n=31,...,45) and de Boer quantum delocalization length (Lambdain[0;0.3]) is constructed, showing the stability ranges for the two competing structural motifs, the Mackay and anti-Mackay icosahedra. An increase of Lambda has an effect similar to heating and as such may induce structural transformations.
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Affiliation(s)
- Jason Deckman
- Chemistry Department, University of California at Irvine, Irvine, California 92697, USA
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