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Chen W, Wang K, Miao X, Zhang J, Song A, Chen X, Luo J, Ma T. Ultralow-Friction at Cryogenic Temperature Induced by Hydrogen Correlated Quantum Effect. SMALL (WEINHEIM AN DER BERGSTRASSE, GERMANY) 2024:e2400083. [PMID: 38501844 DOI: 10.1002/smll.202400083] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/04/2024] [Revised: 02/23/2024] [Indexed: 03/20/2024]
Abstract
Temperature is one of the governing factors affecting friction of solids. Undesired high friction state has been generally reported at cryogenic temperatures due to the prohibition of thermally activated processes, following conventional Arrhenius equation. This has brought huge difficulties to lubrication at extremely low temperatures in industry. Here, the study uncovers a hydrogen-correlated sub-Arrhenius friction behavior in hydrogenated amorphous carbon (a-C:H) film at cryogenic temperatures, and a stable ultralow-friction over a wide temperature range (103-348 K) is achieved. This is attributed to hydrogen-transfer-induced mild structural ordering transformation, confirmed by machine-learning-based molecular dynamics simulations. The anomalous sub-Arrhenius temperature dependence of structural ordering transformation rate is well-described by a quantum mechanical tunneling (QMT) modified Arrhenius model, which is correlated with quantum delocalization of hydrogen in tribochemical reactions. This work reveals a hydrogen-correlated friction mechanism overcoming the Arrhenius temperature dependence and provides a new pathway for achieving ultralow friction under cryogenic conditions.
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Affiliation(s)
- Weiqi Chen
- State Key Laboratory of Tribology in Advanced Equipment, Tsinghua University, Beijing, 100084, China
| | - Kang Wang
- State Key Laboratory of Tribology in Advanced Equipment, Tsinghua University, Beijing, 100084, China
- Xi'an Modern Chemistry Research Institute, Xi'an, Shanxi, 710065, China
| | - Xinran Miao
- State Key Laboratory of Tribology in Advanced Equipment, Tsinghua University, Beijing, 100084, China
| | - Jie Zhang
- School of Mechanical Engineering, University of Science and Technology Beijing, Beijing, 100083, China
| | - Aisheng Song
- State Key Laboratory of Tribology in Advanced Equipment, Tsinghua University, Beijing, 100084, China
| | - Xinchun Chen
- State Key Laboratory of Tribology in Advanced Equipment, Tsinghua University, Beijing, 100084, China
| | - Jianbin Luo
- State Key Laboratory of Tribology in Advanced Equipment, Tsinghua University, Beijing, 100084, China
| | - Tianbao Ma
- State Key Laboratory of Tribology in Advanced Equipment, Tsinghua University, Beijing, 100084, China
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2
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Xiahou C, Connor JNL, De Fazio D, Sokolovski D. A single resonance Regge pole dominates the forward-angle scattering of the state-to-state F + H 2 → FH + H reaction at Etrans = 62.09 meV. Phys Chem Chem Phys 2024; 26:3647-3666. [PMID: 38224460 DOI: 10.1039/d3cp04734b] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2024]
Abstract
The aim of the present paper is to bring clarity, through simplicity, to the important and long-standing problem: does a resonance contribute to the forward-angle scattering of the F + H2 reaction? We reduce the problem to its essentials and present a well-defined, yet rigorous and unambiguous, investigation of structure in the differential cross sections (DCSs) of the following three state-to-state reactions at a translational energy of 62.09 meV: F + H2(vi = 0, ji = 0, mi = 0) → FH(vf = 3, jf = 0, 1, 2, mf = 0) + H, where vi, ji, mi and vf, jf, mf are the initial and final vibrational, rotational and helicity quantum numbers respectively. Firstly, we carry out quantum-scattering calculations for the Fu-Xu-Zhang potential energy surface, obtaining accurate numerical scattering matrix elements for indistinguishable H2. The calculations use a time-independent method, with hyperspherical coordinates and an enhanced Numerov method. Secondly, the following theoretical techniques are employed to analyse structures in the DCSs: (a) full and Nearside-Farside (NF) partial wave series (PWS) and local angular momentum theory, including resummations of the full PWS up to second order. (b) The recently introduced "CoroGlo" test, which lets us distinguish between glory and corona scattering at forward angles for a Legendre PWS. (c) Six asymptotic (semiclassical) forward-angle glory theories and three asymptotic farside rainbow theories, valid for rainbows at sideward-scattering angles. (d) Complex angular momentum (CAM) theories of forward and backward scattering, with the Regge pole positions and residues computed by Thiele rational interpolation. Thirdly, our conclusions for the three PWS DCSs are: (a) the forward-angle peaks arise from glory scattering. (b) A broad (hidden) farside rainbow is present at sideward angles. (c) A single Regge pole contributes to the DCS across the whole angular range, being most prominent at forward angles. This proves that a resonance contributes to the DCSs for the three transitions. (d) The diffraction oscillations in the DCSs arise from NF interference, in particular, interference between the Regge pole and direct subamplitudes.
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Affiliation(s)
- Chengkui Xiahou
- School of Pharmacy, Qilu Medical University, Zibo Economic Zone, Zibo City 255300, Shandong, People's Republic of China
| | - J N L Connor
- Department of Chemistry, The University of Manchester, Manchester M13 9PL, UK.
| | - Dario De Fazio
- Istituto di Struttura della Materia-Consiglio Nazionale delle Ricerche, 00016 Roma, Italy
| | - Dmitri Sokolovski
- Department of Physical Chemistry, University of the Basque Country, 48940 Leioa, Bizkaia, Spain
- IKERBASQUE, Basque Foundation for Science, 48011, Bilbao, Spain
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3
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Sohini Chakraborty, Mathew MM, Simon R, George N, Vadakkekara A, Mary NL. Antibacterial Activity of Polymer Blend Nanocomposites with the Incorporation of Bentonite and Gold Nanorods. POLYMER SCIENCE SERIES B 2021. [DOI: 10.1134/s1560090421050031] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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4
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Bai Y, Buren B, Yang Z, Chen M. Time-dependent wave packet dynamics study of non-adiabatic Li(2p) + HD → LiH/LiD + D/H reaction in a diabatic representation. Chem Phys Lett 2021. [DOI: 10.1016/j.cplett.2020.138279] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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5
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Rosa ACP, Cruz C, Santana WS, Brito E, Moret MA. Non-Arrhenius behavior and fragile-to-strong transition of glass-forming liquids. Phys Rev E 2020; 101:042131. [PMID: 32422727 DOI: 10.1103/physreve.101.042131] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/14/2020] [Accepted: 04/03/2020] [Indexed: 11/07/2022]
Abstract
Characterization of the non-Arrhenius behavior of glass-forming liquids is a broad avenue for research toward the understanding of the formation mechanisms of noncrystalline materials. In this context, this paper explores the main properties of the viscosity of glass-forming systems, considering super-Arrhenius diffusive processes. We establish the viscous activation energy as a function of the temperature, measure the degree of fragility of the system, and characterize the fragile-to-strong transition through the standard Angell's plot. Our results show that the non-Arrhenius behavior observed in fragile liquids can be understood through the non-Markovian dynamics that characterize the diffusive processes of these systems. Moreover, the fragile-to-strong transition corresponds to a change in the spatiotemporal range of correlations during the glass transition process.
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Affiliation(s)
- A C P Rosa
- Grupo de Informação Quântica e Física Estatística, Centro de Ciências Exatas e das Tecnologias, Universidade Federal do Oeste da Bahia, Rua Bertioga, 892, Morada Nobre I, 47810-059 Barreiras, Bahia, Brazil
| | - C Cruz
- Grupo de Informação Quântica e Física Estatística, Centro de Ciências Exatas e das Tecnologias, Universidade Federal do Oeste da Bahia, Rua Bertioga, 892, Morada Nobre I, 47810-059 Barreiras, Bahia, Brazil
| | - W S Santana
- Grupo de Informação Quântica e Física Estatística, Centro de Ciências Exatas e das Tecnologias, Universidade Federal do Oeste da Bahia, Rua Bertioga, 892, Morada Nobre I, 47810-059 Barreiras, Bahia, Brazil
| | - E Brito
- Grupo de Informação Quântica e Física Estatística, Centro de Ciências Exatas e das Tecnologias, Universidade Federal do Oeste da Bahia, Rua Bertioga, 892, Morada Nobre I, 47810-059 Barreiras, Bahia, Brazil
| | - M A Moret
- Programa de Modelagem Computacional-SENAI-CIMATEC, 41650-010 Salvador, Bahia, Brazil.,Universidade do Estado da Bahia (UNEB), 41150-000 Salvador, Bahia, Brazil
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6
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From the Kinetic Theory of Gases to the Kinetics of Rate Processes: On the Verge of the Thermodynamic and Kinetic Limits. MOLECULES (BASEL, SWITZERLAND) 2020; 25:molecules25092098. [PMID: 32365840 PMCID: PMC7248839 DOI: 10.3390/molecules25092098] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 04/08/2020] [Revised: 04/27/2020] [Accepted: 04/28/2020] [Indexed: 11/24/2022]
Abstract
A variety of current experiments and molecular dynamics computations are expanding our understanding of rate processes occurring in extreme environments, especially at low temperatures, where deviations from linearity of Arrhenius plots are revealed. The thermodynamic behavior of molecular systems is determined at a specific temperature within conditions on large volume and number of particles at a given density (the thermodynamic limit): on the other side, kinetic features are intuitively perceived as defined in a range between the extreme temperatures, which limit the existence of each specific phase. In this paper, extending the statistical mechanics approach due to Fowler and collaborators, ensembles and partition functions are defined to evaluate initial state averages and activation energies involved in the kinetics of rate processes. A key step is delayed access to the thermodynamic limit when conditions on a large volume and number of particles are not fulfilled: the involved mathematical analysis requires consideration of the role of the succession for the exponential function due to Euler, precursor to the Poisson and Boltzmann classical distributions, recently discussed. Arguments are presented to demonstrate that a universal feature emerges: Convex Arrhenius plots (super-Arrhenius behavior) as temperature decreases are amply documented in progressively wider contexts, such as viscosity and glass transitions, biological processes, enzymatic catalysis, plasma catalysis, geochemical fluidity, and chemical reactions involving collective phenomena. The treatment expands the classical Tolman’s theorem formulated quantally by Fowler and Guggenheim: the activation energy of processes is related to the averages of microscopic energies. We previously introduced the concept of “transitivity”, a function that compactly accounts for the development of heuristic formulas and suggests the search for universal behavior. The velocity distribution function far from the thermodynamic limit is illustrated; the fraction of molecules with energy in excess of a certain threshold for the description of the kinetics of low-temperature transitions and of non-equilibrium reaction rates is derived. Uniform extension beyond the classical case to include quantum tunneling (leading to the concavity of plots, sub-Arrhenius behavior) and to Fermi and Bose statistics has been considered elsewhere. A companion paper presents a computational code permitting applications to a variety of phenomena and provides further examples.
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7
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De Fazio D, Aquilanti V, Cavalli S. Benchmark Quantum Kinetics at Low Temperatures toward Absolute Zero and Role of Entrance Channel Wells on Tunneling, Virtual States, and Resonances: The F + HD Reaction. J Phys Chem A 2020; 124:12-20. [PMID: 31829589 DOI: 10.1021/acs.jpca.9b08435] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
This paper reports a study of the quantum reaction dynamics and kinetics of the F + HD reaction at low and ultralow temperatures, focusing on the range from the Wigner limit up to 50 K. Close coupling time-independent quantum reactive scattering calculations for the production of HF and DF molecules have been carried out on two potential energy surfaces differing in the description of the reaction entrance channel. This case is computationally more demanding than the cases of F with H2 and D2 ( De Fazio et al. Frontiers in Chemistry 2019 , 7 , 328 ) but offers a wider phenomenology regarding the roles of quantum mechanical effects of tunneling, of virtual states, and of resonances. The results show that at the temperatures in the cold and ultracold regimes small changes in the entrance channel long-range interaction induce surprising near threshold features. The presence of a virtual state close to the reactive threshold gives rise to a marked anti-Arrhenius behavior of the rate constants below 100 mK. This effect enhances reaction rates by about 2 orders of magnitude, making them of the same order as those at room temperature and confining the onset of the Wigner regime in the microkelvin region.
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Affiliation(s)
- Dario De Fazio
- Istituto di Struttura della materia-Consiglio Nazionale delle Ricerche , 00016 Roma , Italy
| | - Vincenzo Aquilanti
- Istituto di Struttura della materia-Consiglio Nazionale delle Ricerche , 00016 Roma , Italy.,Dipartimento di Chimica, Biologia e Biotecnologie , Università di Perugia , 06123 Perugia , Italy
| | - Simonetta Cavalli
- Dipartimento di Chimica, Biologia e Biotecnologie , Università di Perugia , 06123 Perugia , Italy
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8
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Rosa Junior ACP, Cruz C, Santana WS, Moret MA. Characterization of the non-Arrhenius behavior of supercooled liquids by modeling nonadditive stochastic systems. Phys Rev E 2019; 100:022139. [PMID: 31574742 DOI: 10.1103/physreve.100.022139] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/12/2019] [Indexed: 11/07/2022]
Abstract
The characterization of the formation mechanisms of amorphous solids is a large avenue for research, since understanding its non-Arrhenius behavior is challenging to overcome. In this context, we present one path toward modeling the diffusive processes in supercooled liquids near glass transition through a class of nonhomogeneous continuity equations, providing a consistent theoretical basis for the physical interpretation of its non-Arrhenius behavior. More precisely, we obtain the generalized drag and diffusion coefficients that allow us to model a wide range of non-Arrhenius processes. This provides a reliable measurement of the degree of fragility of the system and an estimation of the fragile-to-strong transition in glass-forming liquids, as well as a generalized Stokes-Einstein equation, leading to a better understanding of the classical and quantum effects on the dynamics of nonadditive stochastic systems.
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Affiliation(s)
- A C P Rosa Junior
- Grupo de Informação Quântica, Centro de Ciências Exatas e das Tecnologias, Universidade Federal do Oeste da Bahia, Rua Bertioga, 892, Morada Nobre I, 47810-059 Barreiras, Bahia, Brazil
| | - C Cruz
- Grupo de Informação Quântica, Centro de Ciências Exatas e das Tecnologias, Universidade Federal do Oeste da Bahia, Rua Bertioga, 892, Morada Nobre I, 47810-059 Barreiras, Bahia, Brazil
| | - W S Santana
- Grupo de Informação Quântica, Centro de Ciências Exatas e das Tecnologias, Universidade Federal do Oeste da Bahia, Rua Bertioga, 892, Morada Nobre I, 47810-059 Barreiras, Bahia, Brazil
| | - M A Moret
- Programa de Modelagem Computacional-SENAI-CIMATEC, 41650-010 Salvador, Bahia, Brazil.,Universidade do Estado da Bahia (UNEB), 41150-000 Salvador, Bahia, Brazil
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9
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Machado HG, Sanches-Neto FO, Coutinho ND, Mundim KC, Palazzetti F, Carvalho-Silva VH. "Transitivity": A Code for Computing Kinetic and Related Parameters in Chemical Transformations and Transport Phenomena. Molecules 2019; 24:E3478. [PMID: 31557893 PMCID: PMC6803931 DOI: 10.3390/molecules24193478] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/16/2019] [Revised: 09/04/2019] [Accepted: 09/08/2019] [Indexed: 12/25/2022] Open
Abstract
The Transitivity function, defined in terms of the reciprocal of the apparent activation energy, measures the propensity for a reaction to proceed and can provide a tool for implementing phenomenological kinetic models. Applications to systems which deviate from the Arrhenius law at low temperature encouraged the development of a user-friendly graphical interface for estimating the kinetic and thermodynamic parameters of physical and chemical processes. Here, we document the Transitivity code, written in Python, a free open-source code compatible with Windows, Linux and macOS platforms. Procedures are made available to evaluate the phenomenology of the temperature dependence of rate constants for processes from the Arrhenius and Transitivity plots. Reaction rate constants can be calculated by the traditional Transition-State Theory using a set of one-dimensional tunneling corrections (Bell (1935), Bell (1958), Skodje and Truhlar and, in particular, the deformed ( d -TST) approach). To account for the solvent effect on reaction rate constant, implementation is given of the Kramers and of Collins-Kimball formulations. An input file generator is provided to run various molecular dynamics approaches in CPMD code. Examples are worked out and made available for testing. The novelty of this code is its general scope and particular exploit of d -formulations to cope with non-Arrhenius behavior at low temperatures, a topic which is the focus of recent intense investigations. We expect that this code serves as a quick and practical tool for data documentation from electronic structure calculations: It presents a very intuitive graphical interface which we believe to provide an excellent working tool for researchers and as courseware to teach statistical thermodynamics, thermochemistry, kinetics, and related areas.
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Affiliation(s)
- Hugo G Machado
- Grupo de Química Teórica e Estrutural de Anápolis, Centro de Pesquisa e Pós-Graduação. Universidade Estadual de Goiás, 75132-400 Anápolis, GO, Brazil.
- Instituto de Química, Universidade de Brasília, Caixa Postal 4478, 70904-970 Brasília, Brazil.
| | - Flávio O Sanches-Neto
- Grupo de Química Teórica e Estrutural de Anápolis, Centro de Pesquisa e Pós-Graduação. Universidade Estadual de Goiás, 75132-400 Anápolis, GO, Brazil.
- Instituto de Química, Universidade de Brasília, Caixa Postal 4478, 70904-970 Brasília, Brazil.
| | - Nayara D Coutinho
- Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia, 06123 Perugia, Italy.
| | - Kleber C Mundim
- Instituto de Química, Universidade de Brasília, Caixa Postal 4478, 70904-970 Brasília, Brazil.
| | - Federico Palazzetti
- Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia, 06123 Perugia, Italy.
| | - Valter H Carvalho-Silva
- Grupo de Química Teórica e Estrutural de Anápolis, Centro de Pesquisa e Pós-Graduação. Universidade Estadual de Goiás, 75132-400 Anápolis, GO, Brazil.
- Instituto de Química, Universidade de Brasília, Caixa Postal 4478, 70904-970 Brasília, Brazil.
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10
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De Fazio D, Aquilanti V, Cavalli S. Quantum Dynamics and Kinetics of the F + H 2 and F + D 2 Reactions at Low and Ultra-Low Temperatures. Front Chem 2019; 7:328. [PMID: 31157204 PMCID: PMC6527900 DOI: 10.3389/fchem.2019.00328] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/05/2019] [Accepted: 04/24/2019] [Indexed: 11/29/2022] Open
Abstract
Integral cross sections and rate constants for the prototypical chemical reactions of the fluorine atom with molecular hydrogen and deuterium have been calculated over a wide interval of collision energy and temperature ranging from the sub-thermal (50 K) down to the ultra-cold regimes (0.5 mK). Rigorous close coupling time-independent quantum reactive scattering calculations have been carried out on two potential energy surfaces, differing only at long-range in the reactants' channel. The results show that tunnel, resonance and virtual state effects enhance under-barrier reactivity giving rise to pronounced deviations from the Arrhenius law as temperature is lowered. Within the ultra-cold domain (below 1 mK), the reactivity is governed by virtual state effects and by tunneling through the reaction barrier; in the cold regime (1 mK–1 K), the shape resonances in the entrance channel of the potential energy surface make the quantum tunneling contribution larger so enhancing cross sections and rate constants by about one order of magnitude; at higher temperatures (above 10 K), the tunneling pathway enhanced by the constructive interference between two Feshbach resonances trapped in the reaction exit channel competes with the thermally activated mechanism, as the energy gets closer to the reaction barrier height. The results show that at low temperatures cross sections and rate constants are extremely sensitive to small changes in the long-range intermolecular interaction in the entrance channel of the potential energy surface, as well as to isotopic substitution.
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Affiliation(s)
- Dario De Fazio
- Istituto di Struttura della Materia, Consiglio Nazionale Delle Ricerche (CNR), Rome, Italy
| | - Vincenzo Aquilanti
- Dipartimento di Chimica, Biologia e Biotecnologie, Università degli Studi di Perugia, Perugia, Italy
| | - Simonetta Cavalli
- Dipartimento di Chimica, Biologia e Biotecnologie, Università degli Studi di Perugia, Perugia, Italy
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11
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Carvalho-Silva VH, Coutinho ND, Aquilanti V. Temperature Dependence of Rate Processes Beyond Arrhenius and Eyring: Activation and Transitivity. Front Chem 2019; 7:380. [PMID: 31192196 PMCID: PMC6548831 DOI: 10.3389/fchem.2019.00380] [Citation(s) in RCA: 51] [Impact Index Per Article: 10.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/26/2019] [Accepted: 05/10/2019] [Indexed: 12/02/2022] Open
Abstract
Advances in the understanding of the dependence of reaction rates from temperature, as motivated from progress in experiments and theoretical tools (e. g., molecular dynamics), are needed for the modeling of extreme environmental conditions (e.g., in astrochemistry and in the chemistry of plasmas). While investigating statistical mechanics perspectives (Aquilanti et al., 2017b, 2018), the concept of transitivity was introduced as a measure for the propensity for a reaction to occur. The Transitivity plot is here defined as the reciprocal of the apparent activation energy vs. reciprocal absolute temperature. Since the transitivity function regulates transit in physicochemical transformations, not necessarily involving reference to transition-state hypothesis of Eyring, an extended version is here proposed to cope with general types of transformations. The transitivity plot permits a representation where deviations from Arrhenius behavior are given a geometrical meaning and make explicit a positive or negative linear dependence of transitivity for sub- and super-Arrhenius cases, respectively. To first-order in reciprocal temperature, the transitivity function models deviations from linearity in Arrhenius plots as originally proposed by Aquilanti and Mundim: when deviations are increasingly larger, other phenomenological formulas, such as Vogel-Fulcher-Tammann, Nakamura-Takayanagi-Sato, and Aquilanti-Sanches-Coutinho-Carvalho are here rediscussed from the transitivity concept perspective and with in a general context. Emphasized is the interest of introducing into this context modifications to a very successful tool of theoretical kinetics, Eyring's Transition-State Theory: considering the behavior of the transitivity function at low temperatures, in order to describe deviation from Arrhenius behavior under the quantum tunneling regime, a "d-TST" formulation was previously introduced (Carvalho-Silva et al., 2017). In this paper, a special attention is dedicated to a derivation of the temperature dependence of viscosity, making explicit reference to feature of the transitivity function, which in this case generally exhibits a super-Arrhenius behavior. This is of relevance also for advantages of using the transitivity function for diffusion-controlled phenomena.
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Affiliation(s)
- Valter H. Carvalho-Silva
- Grupo de Química Teórica e Estrutural de Anápolis, Campus de Ciências Exatas e Tecnológicas, Universidade Estadual de Goiás, Anápolis, Brazil
| | - Nayara D. Coutinho
- Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia, Perugia, Italy
| | - Vincenzo Aquilanti
- Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia, Perugia, Italy
- Istituto di Struttura della Materia, Consiglio Nazionale delle Ricerche, Rome, Italy
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12
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Coutinho ND, Sanches-Neto FO, Carvalho-Silva VH, de Oliveira HCB, Ribeiro LA, Aquilanti V. Kinetics of the OH+HCl→H 2 O+Cl reaction: Rate determining roles of stereodynamics and roaming and of quantum tunneling. J Comput Chem 2018; 39:2508-2516. [PMID: 30365178 DOI: 10.1002/jcc.25597] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/28/2018] [Revised: 08/15/2018] [Accepted: 08/20/2018] [Indexed: 02/03/2023]
Abstract
The OH + HCl → H2 O + Cl reaction is one of the most studied four-body systems, extensively investigated by both experimental and theoretical approaches. Here, as a continuation of our previous work on the OH + HBr and OH + HI reactions, which manifest an anti-Arrhenius behavior that was explained by stereodynamic and roaming effects, we extend the strategy to understand the transition to the sub-Arrhenius behavior occurring for the HCl case. As previously, we perform first-principles on-the-fly Born-Oppenheimer molecular dynamics calculations, thermalized at four temperatures (50, 200, 350, and 500 K), but this time we also apply a high-level transition-state-theory, modified to account for tunneling conditions. We find that the theoretical rate constants calculated with Bell tunneling corrections are in good agreement with extensive experimental data available for this reaction in the ample temperature range: (i) simulations show that the roles of molecular orientation in promoting this reaction and of roaming in finding the favorable path are minor than in the HBr and HI cases, and (ii) dominating is the effect of quantum mechanical penetration through the energy barrier along the reaction path on the potential energy surface. The discussion of these results provides clarification of the origin on different non-Arrhenius mechanisms observed along this series of reactions. © 2018 Wiley Periodicals, Inc.
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Affiliation(s)
- Nayara D Coutinho
- Instituto de Química, Universidade de Brasília, Caixa Postal 4478, 70904-970, Brasília, Brazil
| | - Flavio O Sanches-Neto
- Grupo de Química Teórica e Estrutural de Anápolis, Ciências Exatas e Tecnológicas, Universidade Estadual de Goiás, CP 459, 75001-970, Anápolis, GO, Brazil
| | | | - Heibbe C B de Oliveira
- Instituto de Química, Universidade de Brasília, Caixa Postal 4478, 70904-970, Brasília, Brazil
| | - Luiz A Ribeiro
- Institute of Physics, University of Brasilia, Brasilia, 70910-900, Brazil
| | - Vincenzo Aquilanti
- Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia, Via Elce di Sotto 8, 06123, Perugia, Italy.,Istituto di Struttura della Materia, Consiglio Nazionale delle Ricerche, Area dela Ricerca di Roma Tor Vergata, Via del Fosso del Cavaliere, 00133, Rome, Italy
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13
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From statistical thermodynamics to molecular kinetics: the change, the chance and the choice. RENDICONTI LINCEI. SCIENZE FISICHE E NATURALI 2018. [DOI: 10.1007/s12210-018-0749-9] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/26/2022]
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14
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Naskar P, Talukder S, Chaudhury P, Ghosh S. The effect of stochastic barrier fluctuation on semiclassical transmission probability and Shannon entropy of a symmetric double well potential. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY 2018; 118:e25667. [DOI: 10.1002/qua.25667] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 07/19/2023]
Affiliation(s)
- Pulak Naskar
- Department of Chemistry; University of Calcutta, 92 A P C Road; Kolkata 700 009 India
| | - Srijeeta Talukder
- Department of Physical Chemistry; Indian Association for the Cultivation of Science, Jadavpur; Kolkata 700 032 India
| | - Pinaki Chaudhury
- Department of Chemistry; University of Calcutta, 92 A P C Road; Kolkata 700 009 India
| | - Subhasree Ghosh
- Department of Chemistry; Serampore College; Serampore, Hooghly, West Bengal 712201 India
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15
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Sanches-Neto FO, Coutinho ND, Carvalho-Silva VH. A novel assessment of the role of the methyl radical and water formation channel in the CH 3OH + H reaction. Phys Chem Chem Phys 2018; 19:24467-24477. [PMID: 28890979 DOI: 10.1039/c7cp03806b] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
A number of experimental and theoretical papers accounted almost exclusively for two channels in the reaction of atomic hydrogen with methanol: H-abstraction from the methyl (R1) and hydroxyl (R2) functional groups. Recently, several astrochemical studies claimed the importance of another channel for this reaction, which is crucial for kinetic simulations related to the abundance of molecular constituents in planetary atmospheres: methyl radical and water formation (R3 channel). Here, motivated by the lack of and uncertainties about the experimental and theoretical kinetic rate constants for the third channel, we developed first-principles Car-Parrinello molecular dynamics thermalized at two significant temperatures - 300 and 2500 K. Furthermore, the kinetic rate constant of all three channels was calculated using a high-level deformed-transition state theory (d-TST) at a benchmark electronic structure level. d-TST is shown to be suitable for describing the overall rate constant for the CH3OH + H reaction (an archetype of the moderate tunnelling regime) with the precision required for practical applications. Considering the experimental ratios at 1000 K, kR1/kR2 ≈ 0.84 and kR1/kR3 ≈ 15-40, we provided a better estimate when compared with previous theoretical work: 7.47 and 637, respectively. The combination of these procedures explicitly demonstrates the role of the third channel in a significant range of temperatures and indicates its importance considering the thermodynamic control to estimate methyl radical and water formation. We expect that these results can help to shed new light on the fundamental kinetic rate equations for the CH3OH + H reaction.
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Affiliation(s)
- Flávio O Sanches-Neto
- Grupo de Química Teórica de Anápolis Campus de Ciências Exatas e Tecnológicas, Universidade Estadual de Goiás, Caixa Postal 459, 75001-970, Anápolis, GO, Brazil.
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16
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Talukder S, Chaudhury P, Ghosh S. Simulated annealing-based optimal control over tunneling process through SDWP and Eckart barrier: A momentum basis representation. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY 2017; 117:e25388. [DOI: 10.1002/qua.25388] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 07/19/2023]
Affiliation(s)
- Srijeeta Talukder
- Department of Physical Chemistry; Indian Association for the Cultivation of Science; Jadavpur India
| | - Pinaki Chaudhury
- Department of Chemistry; University of Calcutta; 92 A P C Road Kolkata 700 009 India
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17
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Aquilanti V, Coutinho ND, Carvalho-Silva VH. Kinetics of low-temperature transitions and a reaction rate theory from non-equilibrium distributions. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2017; 375:rsta.2016.0201. [PMID: 28320904 PMCID: PMC5360900 DOI: 10.1098/rsta.2016.0201] [Citation(s) in RCA: 31] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 12/14/2016] [Indexed: 05/14/2023]
Abstract
This article surveys the empirical information which originated both by laboratory experiments and by computational simulations, and expands previous understanding of the rates of chemical processes in the low-temperature range, where deviations from linearity of Arrhenius plots were revealed. The phenomenological two-parameter Arrhenius equation requires improvement for applications where interpolation or extrapolations are demanded in various areas of modern science. Based on Tolman's theorem, the dependence of the reciprocal of the apparent activation energy as a function of reciprocal absolute temperature permits the introduction of a deviation parameter d covering uniformly a variety of rate processes, from those where quantum mechanical tunnelling is significant and d < 0, to those where d > 0, corresponding to the Pareto-Tsallis statistical weights: these generalize the Boltzmann-Gibbs weight, which is recovered for d = 0. It is shown here how the weights arise, relaxing the thermodynamic equilibrium limit, either for a binomial distribution if d > 0 or for a negative binomial distribution if d < 0, formally corresponding to Fermion-like or Boson-like statistics, respectively. The current status of the phenomenology is illustrated emphasizing case studies; specifically (i) the super-Arrhenius kinetics, where transport phenomena accelerate processes as the temperature increases; (ii) the sub-Arrhenius kinetics, where quantum mechanical tunnelling propitiates low-temperature reactivity; (iii) the anti-Arrhenius kinetics, where processes with no energetic obstacles are rate-limited by molecular reorientation requirements. Particular attention is given for case (i) to the treatment of diffusion and viscosity, for case (ii) to formulation of a transition rate theory for chemical kinetics including quantum mechanical tunnelling, and for case (iii) to the stereodirectional specificity of the dynamics of reactions strongly hindered by the increase of temperature.This article is part of the themed issue 'Theoretical and computational studies of non-equilibrium and non-statistical dynamics in the gas phase, in the condensed phase and at interfaces'.
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Affiliation(s)
- Vincenzo Aquilanti
- Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia, via Elce di Sotto 8, 06123 Perugia, Italy
- Instituto de Física, Universidade Federal da Bahia, 40210 Salvador, Brazil
- Istituto di Struttura della Materia, Consiglio Nazionale delle Ricerche, 00016 Rome, Italy
| | - Nayara Dantas Coutinho
- Instituto de Química, Universidade de Brasília, Caixa Postal 4478, 70904-970 Brasília, Brazil
| | - Valter Henrique Carvalho-Silva
- Grupo de Química Teórica e Estrutural de Anápolis, Campus de Ciências Exatas e Tecnológicas, Universidade Estadual de Goiás, CP 459, 75001-970 Anápolis, GO, Brazil
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18
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Carvalho-Silva VH, Aquilanti V, de Oliveira HCB, Mundim KC. Deformed transition-state theory: Deviation from Arrhenius behavior and application to bimolecular hydrogen transfer reaction rates in the tunneling regime. J Comput Chem 2016; 38:178-188. [PMID: 27859380 DOI: 10.1002/jcc.24529] [Citation(s) in RCA: 33] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2016] [Revised: 09/24/2016] [Accepted: 10/10/2016] [Indexed: 12/14/2022]
Abstract
A formulation is presented for the application of tools from quantum chemistry and transition-state theory to phenomenologically cover cases where reaction rates deviate from Arrhenius law at low temperatures. A parameter d is introduced to describe the deviation for the systems from reaching the thermodynamic limit and is identified as the linearizing coefficient in the dependence of the inverse activation energy with inverse temperature. Its physical meaning is given and when deviation can be ascribed to quantum mechanical tunneling its value is calculated explicitly. Here, a new derivation is given of the previously established relationship of the parameter d with features of the barrier in the potential energy surface. The proposed variant of transition state theory permits comparison with experiments and tests against alternative formulations. Prescriptions are provided and implemented to three hydrogen transfer reactions: CH4 + OH → CH3 + H2 O, CH3 Cl + OH → CH2 Cl + H2 O and H2 + CN → H + HCN, widely investigated both experimentally and theoretically. © 2016 Wiley Periodicals, Inc.
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Affiliation(s)
- Valter H Carvalho-Silva
- Grupo de Química Teórica e Estrutural de Anápolis, Unidade Universitária de Ciências Exatas e Tecnológicas, Universidade Estadual de Goiás, P.O. Box 459, 75001-970, Anápolis, GO, Brazil
| | - Vincenzo Aquilanti
- Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia, Via Elce di Sotto 8, 06123, Perugia, Italy. Instituto de Física, Universidade Federal da Bahia, 40210, Salvador, Brazil.,Istituto di Struttura della Materia, Consiglio Nazionale delle Ricerche, 00016, Rome, Italy
| | - Heibbe C B de Oliveira
- Instituto de Química, Universidade de Brasília, Caixa Postal 4478, 70904-970, Brasília, Brazil
| | - Kleber C Mundim
- Instituto de Química, Universidade de Brasília, Caixa Postal 4478, 70904-970, Brasília, Brazil
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19
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Coutinho ND, Aquilanti V, Silva VHC, Camargo AJ, Mundim KC, de Oliveira HCB. Stereodirectional Origin of anti-Arrhenius Kinetics for a Tetraatomic Hydrogen Exchange Reaction: Born-Oppenheimer Molecular Dynamics for OH + HBr. J Phys Chem A 2016; 120:5408-17. [PMID: 27205872 DOI: 10.1021/acs.jpca.6b03958] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
Abstract
Among four-atom processes, the reaction OH + HBr → H2O + Br is one of the most studied experimentally: its kinetics has manifested an unusual anti-Arrhenius behavior, namely, a marked decrease of the rate constant as the temperature increases, which has intrigued theoreticians for a long time. Recently, salient features of the potential energy surface have been characterized and most kinetic aspects can be considered as satisfactorily reproduced by classical trajectory simulations. Motivation of the work reported in this paper is the investigation of the stereodirectional dynamics of this reaction as the prominent reason for the peculiar kinetics: we started in a previous Letter ( J. Phys. Chem. Lett. 2015 , 6 , 1553 - 1558 ) a first-principles Born-Oppenheimer "canonical" molecular dynamics approach. Trajectories are step-by-step generated on a potential energy surface quantum mechanically calculated on-the-fly and are thermostatically equilibrated to correspond to a specific temperature. Here, refinements of the method permitted a major increase of the number of trajectories and the consideration of four temperatures -50, +200, +350, and +500 K, for which the sampling of initial conditions allowed us to characterize the stereodynamical effect. The role is documented of the adjustment of the reactants' mutual orientation to encounter the entrance into the "cone of acceptance" for reactivity. The aperture angle of this cone is dictated by a range of directions of approach compatible with the formation of the specific HOH angle of the product water molecule; and consistently the adjustment is progressively less effective the higher the kinetic energy. Qualitatively, this emerging picture corroborates experiments on this reaction, involving collisions of aligned and oriented molecular beams, and covering a range of energies higher than the thermal ones. The extraction of thermal rate constants from this molecular dynamics approach is discussed and the systematic sampling of the canonical ensemble is indicated as needed for quantitative comparison with the kinetic experiments.
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Affiliation(s)
- Nayara D Coutinho
- Instituto de Química, Universidade de Brasília , 4478, 70904-970 Brasília, Brazil
| | - Vincenzo Aquilanti
- Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia , Via Elce di Sotto 8, 06123, Perugia, Italy.,Instituto de Física, Universidade Federal da Bahia , 40210 Salvador, Brazil.,Istituto di Struttura della Materia, Consiglio Nazionale delle Ricerche , 00016 Rome, Italy
| | - Valter H C Silva
- Grupo de Química Teórica e Estrutural de Anápolis, Ciências Exatas e Tecnológicas, Universidade Estadual de Goiás , 0459, 75001-970 Anápolis, GO Brazil
| | - Ademir J Camargo
- Grupo de Química Teórica e Estrutural de Anápolis, Ciências Exatas e Tecnológicas, Universidade Estadual de Goiás , 0459, 75001-970 Anápolis, GO Brazil
| | - Kleber C Mundim
- Instituto de Química, Universidade de Brasília , 4478, 70904-970 Brasília, Brazil
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20
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De Fazio D, Cavalli S, Aquilanti V. Benchmark Quantum Mechanical Calculations of Vibrationally Resolved Cross Sections and Rate Constants on ab Initio Potential Energy Surfaces for the F + HD Reaction: Comparisons with Experiments. J Phys Chem A 2016; 120:5288-99. [PMID: 27186680 DOI: 10.1021/acs.jpca.6b01471] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Dario De Fazio
- Istituto di Struttura della
Materia, Consiglio Nazionale delle Ricerche, 00016 Roma, Italy
| | - Simonetta Cavalli
- Dipartimento di Chimica,
Biologia e Biotecnologie, Università di Perugia, 06123 Perugia, Italy
| | - Vincenzo Aquilanti
- Dipartimento di Chimica,
Biologia e Biotecnologie, Università di Perugia, 06123 Perugia, Italy
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21
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Esposito F, Coppola CM, De Fazio D. Complementarity between Quantum and Classical Mechanics in Chemical Modeling. The H + HeH+ → H2 + + He Reaction: A Rigourous Test for Reaction Dynamics Methods. J Phys Chem A 2015; 119:12615-26. [PMID: 26583384 DOI: 10.1021/acs.jpca.5b09660] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
In this work we present a dynamical study of the H + HeH+ → H2+ + He reaction in a collision energy range from 0.1 meV to 10 eV, suitable to be used in applicative models. The paper extends and complements a recent work [ Phys. Chem. Chem. Phys. 2014, 16, 11662] devoted to the characterization of the reactivity from the ultracold regime up to the three-body dissociation breakup. In particular, the accuracy of the quasi-classical trajectory method below the three-body dissociation threshold has been assessed by a detailed comparison with previous calculations performed with different reaction dynamics methods, whereas the reliability of the results in the high energy range has been checked by a direct comparison with the available experimental data. Integral cross sections for several HeH+ roto-vibrational states have been analyzed and used to understand the extent of quantum effects in the reaction dynamics. By using the quasi-classical trajectory method and quantum mechanical close coupling data, respectively, in the high and low collision energy ranges, we obtain highly accurate thermal rate costants until 15 000 K including all (178) the roto-vibrational bound and quasi-bound states of HeH+. The role of the collision-induced dissociation is also discussed and explicitly calculated for the ground roto-vibrational state of HeH+.
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Affiliation(s)
- Fabrizio Esposito
- Consiglio Nazionale delle Ricerche, Istituto di Nanotecnologia, via Amendola 122/d, 70126 Bari, Italy
| | - Carla Maria Coppola
- Consiglio Nazionale delle Ricerche, Istituto di Nanotecnologia, via Amendola 122/d, 70126 Bari, Italy.,INAF-Osservatorio Astrofisico di Arcetri , 50125 Firenze, Italy
| | - Dario De Fazio
- Consiglio Nazionale delle Ricerche, Istituto di Struttura della Materia, Area della Ricerca di Roma 1, 00016 Roma, Italy
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22
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Yu D, Chen J, Cong S, Sun Z. Theoretical Study of FH2– Electron Photodetachment Spectra on New Ab Initio Potential Energy Surfaces. J Phys Chem A 2015; 119:12193-208. [DOI: 10.1021/acs.jpca.5b06153] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Dequan Yu
- State
Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical
and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, People’s Republic of China
- School
of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, People’s Republic of China
| | - Jun Chen
- State
Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical
and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, People’s Republic of China
| | - Shulin Cong
- School
of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, People’s Republic of China
| | - Zhigang Sun
- State
Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical
and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, People’s Republic of China
- Center
for Advanced Chemical Physics and 2011 Frontier Center for Quantum
Science and Technology, University of Science and Technology of China, 96 Jinzhai Road, Hefei 230026, People’s Republic of China
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23
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Coutinho ND, Silva VHC, de Oliveira HCB, Camargo AJ, Mundim KC, Aquilanti V. Stereodynamical Origin of Anti-Arrhenius Kinetics: Negative Activation Energy and Roaming for a Four-Atom Reaction. J Phys Chem Lett 2015; 6:1553-8. [PMID: 26263312 DOI: 10.1021/acs.jpclett.5b00384] [Citation(s) in RCA: 39] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
The OH + HBr → H2O + Br reaction, prototypical of halogen-atom liberating processes relevant to mechanisms for atmospheric ozone destruction, attracted frequent attention of experimental chemical kinetics: the nature of the unusual reactivity drop from low to high temperatures eluded a variety of theoretical efforts, ranking this one among the most studied four-atom reactions. Here, inspired by oriented molecular-beams experiments, we develop a first-principles stereodynamical approach. Thermalized sets of trajectories, evolving on a multidimensional potential energy surface quantum mechanically generated on-the-fly, provide a map of most visited regions at each temperature. Visualizations of rearrangements of bonds along trajectories and of the role of specific angles of reactants' mutual approach elucidate the mechanistic change from the low kinetic energy regime (where incident reactants reorient to find the propitious alignment leading to reaction) to high temperature (where speed hinders adjustment of directionality and roaming delays reactivity).
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Affiliation(s)
- Nayara D Coutinho
- †Unidade Universitária de Ciências Exatas e Tecnológicas, 75001-970, Anápolis, and Unidade de Ipameri, Ipameri, Universidade Estadual de Goiás, 75780-000 Goiás, Brazil
- ‡Instituto de Química, Universidade de Brasília, Caixa Postal 4478, 70904-970 Brasília, Brazil
| | - Valter H C Silva
- †Unidade Universitária de Ciências Exatas e Tecnológicas, 75001-970, Anápolis, and Unidade de Ipameri, Ipameri, Universidade Estadual de Goiás, 75780-000 Goiás, Brazil
| | - Heibbe C B de Oliveira
- ‡Instituto de Química, Universidade de Brasília, Caixa Postal 4478, 70904-970 Brasília, Brazil
| | - Ademir J Camargo
- †Unidade Universitária de Ciências Exatas e Tecnológicas, 75001-970, Anápolis, and Unidade de Ipameri, Ipameri, Universidade Estadual de Goiás, 75780-000 Goiás, Brazil
| | - Kleber C Mundim
- ‡Instituto de Química, Universidade de Brasília, Caixa Postal 4478, 70904-970 Brasília, Brazil
| | - Vincenzo Aquilanti
- §Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia, Via Elce di Sotto 8, 06123 Perugia, Italy
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24
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Description of the effect of temperature on food systems using the deformed Arrhenius rate law: deviations from linearity in logarithmic plots vs. inverse temperature. RENDICONTI LINCEI-SCIENZE FISICHE E NATURALI 2015. [DOI: 10.1007/s12210-015-0407-4] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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25
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Sokolovski D, Akhmatskaya E, Echeverría-Arrondo C, De Fazio D. Complex angular momentum theory of state-to-state integral cross sections: resonance effects in the F + HD → HF(v′ = 3) + D reaction. Phys Chem Chem Phys 2015; 17:18577-89. [DOI: 10.1039/c5cp01169h] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
State-to-state reactive integral cross sections (ICSs) are often affected by quantum mechanical resonances, especially in the neighborhood of a reactive threshold.
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Affiliation(s)
- D. Sokolovski
- Departmento de Química-Física
- Universidad del País Vasco
- UPV/EHU
- Leioa
- Spain
| | - E. Akhmatskaya
- IKERBASQUE
- Basque Foundation for Science
- Bilbao
- Spain
- Basque Center for Applied Mathematics (BCAM)
| | | | - D. De Fazio
- Istituto di Struttura della Materia
- CNR
- 00016 Roma
- Italy
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