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Lazzeri G, Jung H, Bolhuis PG, Covino R. Molecular Free Energies, Rates, and Mechanisms from Data-Efficient Path Sampling Simulations. J Chem Theory Comput 2023; 19:9060-9076. [PMID: 37988412 PMCID: PMC10753783 DOI: 10.1021/acs.jctc.3c00821] [Citation(s) in RCA: 5] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/28/2023] [Revised: 10/24/2023] [Accepted: 10/24/2023] [Indexed: 11/23/2023]
Abstract
Molecular dynamics is a powerful tool for studying the thermodynamics and kinetics of complex molecular events. However, these simulations can rarely sample the required time scales in practice. Transition path sampling overcomes this limitation by collecting unbiased trajectories and capturing the relevant events. Moreover, the integration of machine learning can boost the sampling while simultaneously learning a quantitative representation of the mechanism. Still, the resulting trajectories are by construction non-Boltzmann-distributed, preventing the calculation of free energies and rates. We developed an algorithm to approximate the equilibrium path ensemble from machine-learning-guided path sampling data. At the same time, our algorithm provides efficient sampling, mechanism, free energy, and rates of rare molecular events at a very moderate computational cost. We tested the method on the folding of the mini-protein chignolin. Our algorithm is straightforward and data-efficient, opening the door to applications in many challenging molecular systems.
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Affiliation(s)
- Gianmarco Lazzeri
- Frankfurt
Institute for Advanced Studies, Frankfurt am Main, 60438, Germany
- Goethe
University Frankfurt, Frankfurt
am Main, 60438, Germany
| | - Hendrik Jung
- Goethe
University Frankfurt, Frankfurt
am Main, 60438, Germany
- Department
of Theoretical Biophysics, Max Planck Institute
of Biophysics, Frankfurt
am Main, 60438, Germany
| | - Peter G. Bolhuis
- Van’t
Hoff Institute for Molecular Sciences, University
of Amsterdam, Amsterdam, 1090GD, The Netherlands
| | - Roberto Covino
- Frankfurt
Institute for Advanced Studies, Frankfurt am Main, 60438, Germany
- Goethe
University Frankfurt, Frankfurt
am Main, 60438, Germany
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2
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Vergadou N, Theodorou DN. Molecular Modeling Investigations of Sorption and Diffusion of Small Molecules in Glassy Polymers. MEMBRANES 2019; 9:E98. [PMID: 31398889 PMCID: PMC6723301 DOI: 10.3390/membranes9080098] [Citation(s) in RCA: 36] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/12/2019] [Revised: 07/22/2019] [Accepted: 07/23/2019] [Indexed: 11/16/2022]
Abstract
With a wide range of applications, from energy and environmental engineering, such as in gas separations and water purification, to biomedical engineering and packaging, glassy polymeric materials remain in the core of novel membrane and state-of the art barrier technologies. This review focuses on molecular simulation methodologies implemented for the study of sorption and diffusion of small molecules in dense glassy polymeric systems. Basic concepts are introduced and systematic methods for the generation of realistic polymer configurations are briefly presented. Challenges related to the long length and time scale phenomena that govern the permeation process in the glassy polymer matrix are described and molecular simulation approaches developed to address the multiscale problem at hand are discussed.
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Affiliation(s)
- Niki Vergadou
- Molecular Thermodynamics and Modelling of Materials Laboratory, Institute of Nanoscience and Nanotechnology, National Center for Scientific Research Demokritos, Aghia Paraskevi Attikis, GR-15310 Athens, Greece.
| | - Doros N Theodorou
- School of Chemical Engineering, National Technical University of Athens, GR 15780 Athens, Greece
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3
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Kolokathis PD, Braun OM. KoBra: A rate constant method for prediction of the diffusion of sorbates inside nanoporous materials at different loadings. J Comput Chem 2019; 40:2053-2066. [DOI: 10.1002/jcc.25857] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/21/2018] [Accepted: 04/28/2019] [Indexed: 01/24/2023]
Affiliation(s)
- Panagiotis D. Kolokathis
- School of Chemical Engineering; National Technical University of Athens, Zografou Campus; GR-15780 Athens Greece
| | - Oleg M. Braun
- Institute of Physics; National Academy of Sciences of Ukraine; 03028 Kiev Ukraine
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4
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Kärger J, Ruthven DM. Diffusion in nanoporous materials: fundamental principles, insights and challenges. NEW J CHEM 2016. [DOI: 10.1039/c5nj02836a] [Citation(s) in RCA: 124] [Impact Index Per Article: 15.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Abstract
The increasing complexity of nanoporous catalysts and adsorbents presents a challenge to both the experimental measurement and theoretical modeling of transport behavior.
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Affiliation(s)
- Jörg Kärger
- Faculty of Physics and Earth Sciences
- University of Leipzig
- 04103 Leipzig
- Germany
| | - Douglas M. Ruthven
- Department of Chemical and Biological Engineering
- University of Maine
- Orono
- USA
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5
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Verploegh RJ, Nair S, Sholl DS. Temperature and Loading-Dependent Diffusion of Light Hydrocarbons in ZIF-8 as Predicted Through Fully Flexible Molecular Simulations. J Am Chem Soc 2015; 137:15760-71. [DOI: 10.1021/jacs.5b08746] [Citation(s) in RCA: 135] [Impact Index Per Article: 15.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Affiliation(s)
- Ross J. Verploegh
- School of Chemical & Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0100, United States
| | - Sankar Nair
- School of Chemical & Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0100, United States
| | - David S. Sholl
- School of Chemical & Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0100, United States
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6
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Newsome D, Coppens MO. Molecular dynamics as a tool to study heterogeneity in zeolites – Effect of Na+ cations on diffusion of CO2 and N2 in Na-ZSM-5. Chem Eng Sci 2015. [DOI: 10.1016/j.ces.2014.09.024] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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7
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Kolokathis PD, Pantatosaki E, Gatsiou CA, Jobic H, Papadopoulos GK, Theodorou DN. Dimensionality reduction of free energy profiles of benzene in silicalite-1: calculation of diffusion coefficients using transition state theory. MOLECULAR SIMULATION 2013. [DOI: 10.1080/08927022.2013.840895] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Affiliation(s)
- Panagiotis D. Kolokathis
- School of Chemical Engineering, National Technical University of Athens, Zografou Campus, GR-15780, Athens, Greece
| | - Evangelia Pantatosaki
- School of Chemical Engineering, National Technical University of Athens, Zografou Campus, GR-15780, Athens, Greece
| | - Christina-Anna Gatsiou
- School of Chemical Engineering, National Technical University of Athens, Zografou Campus, GR-15780, Athens, Greece
| | - Hervé Jobic
- Institut de Recherches sur la Catalyse et l' Environnement de Lyon, CNRS, 2 av. Albert Einstein, 69626, Villeurbanne, France
| | - George K. Papadopoulos
- School of Chemical Engineering, National Technical University of Athens, Zografou Campus, GR-15780, Athens, Greece
| | - Doros N. Theodorou
- School of Chemical Engineering, National Technical University of Athens, Zografou Campus, GR-15780, Athens, Greece
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8
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Xi L, Shah M, Trout BL. Hopping of Water in a Glassy Polymer Studied via Transition Path Sampling and Likelihood Maximization. J Phys Chem B 2013; 117:3634-47. [DOI: 10.1021/jp3099973] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023]
Affiliation(s)
- Li Xi
- Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts
02139, United States
| | - Manas Shah
- Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts
02139, United States
| | - Bernhardt L. Trout
- Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts
02139, United States
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9
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Grünwald M, Zayak A, Neaton JB, Geissler PL, Rabani E. Transferable pair potentials for CdS and ZnS crystals. J Chem Phys 2012; 136:234111. [PMID: 22779585 DOI: 10.1063/1.4729468] [Citation(s) in RCA: 41] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A set of interatomic pair potentials is developed for CdS and ZnS crystals. We show that a simple energy function, which has been used to describe the properties of CdSe [E. Rabani, J. Chem. Phys. 116, 258 (2002)], can be parametrized to accurately describe the lattice and elastic constants, and phonon dispersion relations of bulk CdS and ZnS in the wurtzite and rocksalt crystal structures. The predicted coexistence pressure of the wurtzite and rocksalt structures as well as the equation of state are in good agreement with experimental observations. These new pair potentials enable the study of a wide range of processes in bulk and nanocrystalline II-VI semiconductor materials.
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Affiliation(s)
- Michael Grünwald
- Department of Chemistry, University of California, Berkeley, California 94720, USA
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10
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Abouelnasr MKF, Smit B. Diffusion in confinement: kinetic simulations of self- and collective diffusion behavior of adsorbed gases. Phys Chem Chem Phys 2012; 14:11600-9. [DOI: 10.1039/c2cp41147d] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
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12
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Rowley CN, Woo TK. New shooting algorithms for transition path sampling: Centering moves and varied-perturbation sizes for improved sampling. J Chem Phys 2009; 131:234102. [DOI: 10.1063/1.3274203] [Citation(s) in RCA: 5] [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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Simon J, Decrette A, Bellat J, Salazar J. Kinetics of Adsorption ofn-butane on an Aggregate of Silicalite by Transient Non-equilibrium Molecular Dynamics. MOLECULAR SIMULATION 2004. [DOI: 10.1080/08927020410001717254] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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15
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16
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Schüring A, Fritzsche S, Haberlandt R, Vasenkov S, Kärger J. Modeling molecular diffusion in channel networks via displacements between the channel segments. Phys Chem Chem Phys 2004. [DOI: 10.1039/b316174a] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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18
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Fritzsche S, Kärger J. Tracing Memory Effects in Correlated Diffusion Anisotropy in MFI-Type Zeolites by MD Simulation. J Phys Chem B 2003. [DOI: 10.1021/jp026541n] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Siegfried Fritzsche
- University Leipzig, Institute for Theoretical Physics, Augustusplatz 9-11, D-04109 Leipzig, Germany, and University Leipzig, Institute for Experimental Physics I, Linnestrasse 53, D-04103 Leipzig, Germany
| | - J. Kärger
- University Leipzig, Institute for Theoretical Physics, Augustusplatz 9-11, D-04109 Leipzig, Germany, and University Leipzig, Institute for Experimental Physics I, Linnestrasse 53, D-04103 Leipzig, Germany
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Pascual P, Ungerer P, Tavitian B, Pernot P, Boutin A. Development of a transferable guest–host force field for adsorption of hydrocarbons in zeolites : I. Reinvestigation of alkane adsorption in silicalite by grand canonical Monte Carlo simulation. Phys Chem Chem Phys 2003. [DOI: 10.1039/b304209j] [Citation(s) in RCA: 98] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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20
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Stepanov AG, Alkaev MM, Shubin AA, Luzgin MV, Shegai TO, Jobic H. Dynamics of Isobutane inside Zeolite ZSM-5. A Study with Deuterium Solid-State NMR. J Phys Chem B 2002. [DOI: 10.1021/jp0145762] [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)
- Alexander G. Stepanov
- Boreskov Institute of Catalysis, Siberian Branch of the Russian Academy of Sciences, Prospekt Akademika Lavrentieva 5, Novosibirsk 630090, Russia, and Department of Natural Sciences, Novosibirsk State University, Pirogova Street 2, Novosibirsk 630090, Russia, and Institut de Recherches sur la Catalyse, CNRS, 2 av. Albert Einstein, 69626 Villeurbanne, France
| | - Maxim M. Alkaev
- Boreskov Institute of Catalysis, Siberian Branch of the Russian Academy of Sciences, Prospekt Akademika Lavrentieva 5, Novosibirsk 630090, Russia, and Department of Natural Sciences, Novosibirsk State University, Pirogova Street 2, Novosibirsk 630090, Russia, and Institut de Recherches sur la Catalyse, CNRS, 2 av. Albert Einstein, 69626 Villeurbanne, France
| | - Alexander A. Shubin
- Boreskov Institute of Catalysis, Siberian Branch of the Russian Academy of Sciences, Prospekt Akademika Lavrentieva 5, Novosibirsk 630090, Russia, and Department of Natural Sciences, Novosibirsk State University, Pirogova Street 2, Novosibirsk 630090, Russia, and Institut de Recherches sur la Catalyse, CNRS, 2 av. Albert Einstein, 69626 Villeurbanne, France
| | - Mikhail V. Luzgin
- Boreskov Institute of Catalysis, Siberian Branch of the Russian Academy of Sciences, Prospekt Akademika Lavrentieva 5, Novosibirsk 630090, Russia, and Department of Natural Sciences, Novosibirsk State University, Pirogova Street 2, Novosibirsk 630090, Russia, and Institut de Recherches sur la Catalyse, CNRS, 2 av. Albert Einstein, 69626 Villeurbanne, France
| | - Timur O. Shegai
- Boreskov Institute of Catalysis, Siberian Branch of the Russian Academy of Sciences, Prospekt Akademika Lavrentieva 5, Novosibirsk 630090, Russia, and Department of Natural Sciences, Novosibirsk State University, Pirogova Street 2, Novosibirsk 630090, Russia, and Institut de Recherches sur la Catalyse, CNRS, 2 av. Albert Einstein, 69626 Villeurbanne, France
| | - Hervé Jobic
- Boreskov Institute of Catalysis, Siberian Branch of the Russian Academy of Sciences, Prospekt Akademika Lavrentieva 5, Novosibirsk 630090, Russia, and Department of Natural Sciences, Novosibirsk State University, Pirogova Street 2, Novosibirsk 630090, Russia, and Institut de Recherches sur la Catalyse, CNRS, 2 av. Albert Einstein, 69626 Villeurbanne, France
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21
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Bolhuis PG, Chandler D, Dellago C, Geissler PL. Transition path sampling: throwing ropes over rough mountain passes, in the dark. Annu Rev Phys Chem 2002; 53:291-318. [PMID: 11972010 DOI: 10.1146/annurev.physchem.53.082301.113146] [Citation(s) in RCA: 1300] [Impact Index Per Article: 59.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
This article reviews the concepts and methods of transition path sampling. These methods allow computational studies of rare events without requiring prior knowledge of mechanisms, reaction coordinates, and transition states. Based upon a statistical mechanics of trajectory space, they provide a perspective with which time dependent phenomena, even for systems driven far from equilibrium, can be examined with the same types of importance sampling tools that in the past have been applied so successfully to static equilibrium properties.
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Affiliation(s)
- Peter G Bolhuis
- Department of Chemical Engineering, Nieuwe Achtergracht 166, 1018 WV Amsterdam, The Netherlands.
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22
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Geier O, Vasenkov S, Lehmann E, Kärger J, Schemmert U, Rakoczy RA, Weitkamp J. Interference Microscopy Investigation of the Influence of Regular Intergrowth Effects in MFI-Type Zeolites on Molecular Uptake. J Phys Chem B 2001. [DOI: 10.1021/jp010777u] [Citation(s) in RCA: 86] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- O. Geier
- Abteilung Grenzflächenphysik, Universität Leipzig, Linnestrasse 5, D-04103 Leipzig, Germany, and Institut für Technische Chemie, Universität Stuttgart, D-70550 Stuttgart, Germany
| | - S. Vasenkov
- Abteilung Grenzflächenphysik, Universität Leipzig, Linnestrasse 5, D-04103 Leipzig, Germany, and Institut für Technische Chemie, Universität Stuttgart, D-70550 Stuttgart, Germany
| | - E. Lehmann
- Abteilung Grenzflächenphysik, Universität Leipzig, Linnestrasse 5, D-04103 Leipzig, Germany, and Institut für Technische Chemie, Universität Stuttgart, D-70550 Stuttgart, Germany
| | - J. Kärger
- Abteilung Grenzflächenphysik, Universität Leipzig, Linnestrasse 5, D-04103 Leipzig, Germany, and Institut für Technische Chemie, Universität Stuttgart, D-70550 Stuttgart, Germany
| | - U. Schemmert
- Abteilung Grenzflächenphysik, Universität Leipzig, Linnestrasse 5, D-04103 Leipzig, Germany, and Institut für Technische Chemie, Universität Stuttgart, D-70550 Stuttgart, Germany
| | - R. A. Rakoczy
- Abteilung Grenzflächenphysik, Universität Leipzig, Linnestrasse 5, D-04103 Leipzig, Germany, and Institut für Technische Chemie, Universität Stuttgart, D-70550 Stuttgart, Germany
| | - J. Weitkamp
- Abteilung Grenzflächenphysik, Universität Leipzig, Linnestrasse 5, D-04103 Leipzig, Germany, and Institut für Technische Chemie, Universität Stuttgart, D-70550 Stuttgart, Germany
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23
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Vlugt TJH, Smit B. On the efficient sampling of pathways in the transition path ensemble. ACTA ACUST UNITED AC 2001. [DOI: 10.1039/b009865p] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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