Abstract
This paper is part of a series aiming at elucidating the mechanisms involved in the non-Arrhenius behavior of the four-body OH + HX (X = H, F,Cl, Br and I) reactions. These reactions are very important in atmospheric chemistry. Additionally, these four-body reactions are also of basic relevance for chemical kinetics. Their kinetics has manifested non-Arrhenius behavior: the experimental rate constants for the OH + HCl and OH + H2 reactions, when extended to low temperatures, show a concave curvature in the Arrhenius plot, a phenomenon designated as sub-Arrhenius behavior, while reactions with HBr and HI are considered as typical processes that exhibit negative temperature dependence of the rate constants (anti-Arrhenius behavior). From a theoretical point of view, these reactions have been studied in order to obtain the potential energy surface and to reproduce these complex rate constants using the Transition State Theory. Here, in order to understand the non-Arrhenius mechanism, we exploit recent information from ab initio molecular dynamics. For OH + HI and OH + HBr, the visualizations of rearrangements of bonds along trajectories has shown how molecular reorientation occurs in order that the reactants encounter a mutual angle of approach favorable for them to proceed to reaction. Besides the demonstration of the crucial role of stereodynamics, additional documentation was also provided on the interesting manifestation of the roaming phenomenon, both regarding the search for reactive configurations sterically favorable to reaction and the subsequent departure of products involving their vibrational excitation. Under moderate tunneling regime, the OH + H2 reaction was satisfactory described by deformed-Transition-State Theory. In the same reaction, the catalytic effect of water can be assessed by path integral molecular dynamics. For the OH + HCl reaction, the theoretical rate coefficients calculated with Bell tunneling correction were in good agreement with experimental data in the entire temperature range 200–2000 K, with minimal effort compared to much more elaborate treatments. Furthermore, the Born-Oppenheimer molecular dynamics simulation showed that the orientation process was less effective than for HBr and HI reactions, emphasizing the role of the quantum tunneling effect of penetration of an energy barrier in the reaction path along the potential energy surface. These results can shed light on the clarification of the different non-Arrhenius mechanisms involved in four-body reaction, providing rate constants and their temperature dependence of relevance for pure and applied chemical kinetics.
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References
Lilington, J.: Light Water Reactor Safety (1994)
Zuo, J., Zhao, B., Guo, H., Xie, D.: Rate coefficients of the HCl + OH → Cl + H2O reaction from ring polymer molecular dynamics. J. Phys. Chem. A 120, 3433–3440 (2016)
Zuo, J., Zhao, B., Guo, H., Xie, D.: A global coupled cluster potential energy surface for HCl + OH ↔ Cl + H2O. Phys. Chem. Chem. Phys. 15, 9770–9777 (2017)
Kaufman, F., Del Greco, F.P.: Fast reactions of OH radicals. Symp. Combust. 9, 659–668 (1963)
Orkin, V.L., Kozlov, S.N., Poskrebyshev, G.A., Kurylo, M.J.: Rate constant for the reaction of OH with H2 between 200 and 480 K. J. Phys. Chem. A 110, 6978–6985 (2006)
Lam, K.Y., Davidson, D.F., Hanson, R.K.: A shock tube study of H2 + OH → H2O + H using OH laser absorption. Int. J. Chem. Kinet. 45, 363–373 (2013)
Meisner, J., Kästner, J.: Reaction rates and kinetic isotope effects of H2 + OH → H2O + H. J. Chem. Phys. 144, 174303 (2016)
Ravishankara, A.R., Wine, P.H., Wells, J.R.: The OH + HBr reaction revisited 447, 83–85 (1985)
Sims, I.R., Smith, I.W.M., Clary, D.C., Bocherel, P., Rowe, B.R.: Ultra-low temperature kinetics of neutral-neutral reactions - new experimental and theoretical results for OH + HBr between 295 K and 23 K. J. Chem. Phys. 101, 1748–1751 (1994)
Atkinson, D.B., Jaramillo, V.I., Smith, M.A.: Low-temperature kinetic behavior of the bimolecular reaction OH + HBr (76 − 242 K). J. Phys. Chem. A 101, 3356–3359 (1997)
Bedjanian, Y., Riffault, V., Le Bras, G., Poulet, G.: Kinetic study of the reactions of OH and OD with HBr and DBr. J. Photochem. Photobiol. A Chem. 128, 15–25 (1999)
Jaramillo, V.I., Smith, M.A.: Temperature-dependent kinetic isotope effects in the gas-phase reaction: OH + HBr. J. Phys. Chem. A 105, 5854–5859 (2001)
Mullen, C., Smith, M.A.: Temperature dependence and kinetic isotope effects for the OH + HBr reaction and H/D isotopic variants at low temperatures (53–135 K) measured using a pulsed supersonic Laval nozzle flow reactor. J. Phys. Chem. A 109, 3893–3902 (2005)
Jaramillo, V.I., Gougeon, S., Le Picard, S.D., Canosa, A., Smith, M.A., Rowe, B.R.: A consensus view of the temperature dependence of the gas phase reaction: OH + HBr → H2O + Br. Int. J. Chem. Kinet. 34, 339–344 (2002)
Takacs, G.A., Glass, G.P.: Reactions of hydroxyl radicals with some hydrogen halides. J. Phys. Chem. 77, 1948–1951 (1973)
Mac Leod, H., Balestra, C., Jourdain, J.L., Laverdet, G., Bras, G.L.E.: Kinetic study of the reaction OH + HI by laser photolysis-resonance fluorescence. Int. J. Chem. Kinet. 22, 1167–1176 (1990)
Lancar, I.T., Mellouki, A., Poulet, G.: Kinetics of the reactions of hydrogen iodide with hydroxyl and nitrate radicals. Chem. Phys. Lett. 177, 554–558 (1991)
Butkovskaya, N.I., Setser, D.W.: Dynamics of OH and OD radical reactions with HI and GeH4 studied by infrared chemiluminescence of the H2O and HDO products. J. Chem. Phys. 106, 5028–5042 (1997)
Campuzano-Jost, P., Crowley, J.N.: Kinetics of the reaction of OH with HI between 246 and 353 K. J. Phys. Chem. A 103, 2712–2719 (1999)
Moise, A., Parker, D.H., Ter Meulen, J.J.: State-to-state inelastic scattering of OH by HI: a comparison with OH-HCI and OH-HBr. J. Chem. Phys. 126, 124302 (2007)
Inada, Y., Akagane, K.: Non-empirical analysis of the chemical reactions of iodine with steam; I + H2O → HI + OH and I + H2O → IOH + H, in severe light water reactor accidents. J. Nucl. Sci. Technol. 34, 217–221 (1997)
Canneaux, S., Xerri, B., Louis, F., Cantrel, L.: Theoretical study of the gas-phase reactions of iodine atoms (2P3/2) with H2, H2O, HI, and OH. J. Phys. Chem. A 114, 9270–9288 (2010)
Hao, Y., Gu, J., Guo, Y., Zhang, M., Xie, Y., Schaefer III, H.F.: Spin-orbit corrected potential energy surface features for the I (2P3/2) + H2O → HI + OH forward and reverse reactions. Phys. Chem. Chem. Phys. 16, 2641–2646 (2014)
Takacs, G.A., Glass, G.P.: Reactions of hydrogen atoms and hydroxyl radicals with hydrogen bromide. J. Phys. Chem. 77, 1060–1064 (1973)
Smith, I.W.M., Zellner, R.: Rate measurements of reaction of OH by resonance absorption. J. Chem. Soc., Faraday Trans. 8, 1045–1056 (1973)
Wilson, W.E., O’Donovan, J.T., Fristrom, R.M.: Flame inhibition by halogen compounds. In: 12th Symposium on Combustion (1969)
Tsai, P., Che, D., Nakamura, M., Lin, K., Kasai, T.: Orientation dependence in the four-atom reaction of OH + HBr using the single-state oriented OH radical beam. Phys. Chem. Chem. Phys. 12, 2532–2534 (2010)
Tsai, P.-Y., Che, D., Nakamura, M., Lin, K., Kasai, T.: Orientation dependence for Br formation in the reaction of oriented OH radical with HBr molecule. Phys. Chem. Chem. Phys. 13, 1419–1423 (2011)
Che, D.-C., Matsuo, T., Yano, Y., Bonnet, L., Kasai, T.: Negative collision energy dependence of Br formation in the OH + HBr reaction. Phys. Chem. Chem. Phys. 10, 1419–1423 (2008)
Che, D.-C., Doi, A., Yamamoto, Y., Okuno, Y., Kasai, T.: Collision energy dependence for the Br formation in the reaction of OD + HBr. Phys. Scr. 80, 48110 (2009)
Clary, D.C., Stoecklint, T.S., Wickham, A.G., Stoecklin, T.S., Wickham, A.G.: Rate constants for chemical reactions of radicals at low temperatures. J. Chem. Soc., Faraday Trans. 89, 2185–2191 (1993)
Clary, D.C., Nyman, G., Hernandez, R.: Mode selective chemistry in the reactions of OH with HBr and HCl. J. Chem. Phys. 101, 3704–3714 (1994)
Nizamov, B., Setser, D.W., Wang, H., Peslherbe, G.H., Hase, W.L., Nizamov, B., Setser, D.W.: Quasiclassical trajectory calculations for the OH (X2Π) and OD (X2Π) + HBr reactions: energy partitioning and rate constants. J. Chem. Phys. 105, 9897–9911 (1996)
de Oliveira-Filho, A.G.S., Ornellas, F.R., Bowman, J.M.: Quasiclassical trajectory calculations of the rate constant of the OH + HBr → Br + H2O reaction using a full-dimensional Ab initio potential energy surface over the temperature range 5 to 500 K. J. Phys. Chem. Lett. 5, 706–712 (2014)
de Oliveira-Filho, A.G.S., Ornellas, F.R., Bowman, J.M.: Energy disposal and thermal rate constants for the OH + HBr and OH + DBr reactions: quasiclassical trajectory calculations on an accurate potential energy surface. J. Phys. Chem. A 118, 12080 (2014)
Zhang, M., Hao, Y., Guo, Y., Xie, Y., Schaefer, H.F.: Anchoring the potential energy surface for the Br + H2O → HBr + OH reaction. Theor. Chem. Acc. 133, 1513 (2014)
Zahniser, M.S., Kaufman, F.: Kinetics of the reaction of OH with HCl. Chem. Phys. Lett. 27, 507–510 (1974)
Keyser, L.F.: High-pressure flow kinetics. A study of the hydroxyl + hydrogen chloride reaction from 2 to 100 torr. J. Phys. Chem. 88, 4750–4758 (1984)
Molina, M., Molina, L., Smith, C.: The rate of the reaction of OH with HCl. Int. J. Chem. Kinet. 16, 1151–1160 (1984)
Husain, D., Plane, J.M.C., Slater, N.K.H.: Kinetic investigation of the reactions of OH(X2Π) with the hydrogen halides, HCl, DCl, HBr and DBr by time-resolved resonance fluorescence (A2∑ + −X2Π). J. Chem. Soc. Faraday Trans. 2 77, 1949 (1981)
Ravishankara, A.R., Wine, P.H., Wells, J.R., Thompson, R.L.: Kinetic study of the reaction of OH with HCl from 240 to 1055 K. Chem. Phys. Lett. 17, 1281–1297 (1985)
Smith, I.W.M., Williams, M.D.: Effects of isotopic substitution and vibrational excitation on reaction rates. J. Chem. Soc., Faraday Trans. 2(80), 1043–1055 (1986)
Sharkey, P., Smith, I.W.M.: Kinetics of elementary reactions at low temperatures: rate. J. Chem. Soc., Faraday Trans. 89, 631–638 (1993)
Battin-Leclerc, F., Kim, I.K., Talukdar, R.K., Portmann, R.W., Ravishankara, A.R., Steckler, R., Brown, D.: Rate coefficients for the reactions of OH and OD with HCl and DCl between 200 and 400 K. J. Phys. Chem. A 103, 3237–3244 (1999)
Bryukov, M.G., Dellinger, B.: Kinetics of the Gas-Phase Reaction of OH with HCl, 936–943 (2006)
Meisner, J., Kästner, J.: Reaction rates and kinetic isotope effects of H2 + OH → H2O + H, 174303 (2016)
Aquilanti, V., Mundim, K.C., Cavalli, S., Fazio, D., Aguilar, A., Lucas, J.M.: Exact activation energies and phenomenological description of quantum tunneling for model potential energy surfaces. The F + H2 reaction at low temperature. Chem. Phys. 398, 186–191 (2012)
Cavalli, S., Aquilanti, V., Mundim, K.C., De Fazio, D.: Theoretical reaction kinetics astride the transition between moderate and deep tunneling regimes: the F + HD case. J. Phys. Chem. A 118, 6632–6641 (2014)
Silva, V.H.C., Aquilanti, V., de Oliveira, H.C.B., Mundim, K.C.: Uniform description of non-Arrhenius temperature dependence of reaction rates, and a heuristic criterion for quantum tunneling vs classical non-extensive distribution. Chem. Phys. Lett. 590, 201–207 (2013)
Carvalho-Silva, V.H., Aquilanti, V., de Oliveira, H.C.B., Mundim, K.C.: Deformed transition-state theory: deviation from Arrhenius behavior and application to bimolecular hydrogen transfer reaction rates in the tunneling regime. J. Comput. Chem. 38, 178–188 (2017)
Guo, Y., Zhang, M., Xie, Y., Schaefer, H.F.: Communication: some critical features of the potential energy surface for the Cl + H2O → HCl + OH forward and reverse reactions. J. Chem. Phys. 139, 10–14 (2013)
Li, J., Dawes, R., Guo, H.: Kinetic and dynamic studies of the Cl(2Pu) + H2O(X ̃1A 1) → HCl(X ̃1Σ +) + OH(X ̃2Π) reaction on an ab initio based full-dimensional global potential energy surface of the ground electronic state of ClH2O. J. Chem. Phys. 139, (2013)
Zuo, J., Li, Y., Guo, H., Xie, D.: Rate coefficients of the HCl + OH → Cl + H2O reaction from ring polymer molecular dynamics. J. Phys. Chem. A 120, 3433–3440 (2016)
Zuo, J., Xie, C., Guo, H., Xie, D.: Accurate determination of tunneling affected rate coefficients : theory assessing experiment. J. Phys. Chem. Lett. 8, 3392–3397 (2017)
Mallick, S., Sarkar, S., Bandyopadhyay, B., Kumar, P.: Effect of ammonia and formic acid on the OH• + HCl reaction in the troposphere: competition between single and double hydrogen atom transfer pathways. J. Phys. Chem. A 122, 350–363 (2018)
Li, J., Corchado, J.C., Espinosa-Garcia, J., Guo, H.: Final state-resolved mode specificity in HX + OH → X + H2O (X = F and Cl) reactions: a quasi-classical trajectory study. J. Chem. Phys. 142, 84314 (2015)
Song, H., Guo, H.: Mode specificity in the HCl + OH → Cl + H2O reaction: Polanyi’s rules vs sudden vector projection model. J. Phys. Chem. A 119, 826–831 (2015)
Bonnet, L., Larrégaray, P., Duguay, B., Rayes, J.-C., Che, D.-C., Kasai, T.: Stereoselectivity as a probe of unexpected reaction pathways. Chem. Soc. Jpn. 80, 707–710 (2007)
Cireasa, R., Beek, M.C., Van, Moise, A., Meulen, J.J.: Inelastic state-to-state scattering of OH (, J = 3/2, f) by HCl. 74319 (2005)
Chen, J., Xu, X., Xu, X., Zhang, D.H.: A global potential energy surface for the H2 + OH ↔ H2O + H reaction using neural networks. J. Chem. Phys. 138, 154301 (2013)
Martí, C., Pacifici, L., Laganà, A., Coletti, C.: A quantum-classical study of the OH + H2 reactive and inelastic collisions. Chem. Phys. Lett. 674, 103–108 (2017)
Ohno, K., Ito, M., Ichihara, M., Ito, M.: Molecular hydrogen as an emerging therapeutic medical gas for neurodegenerative and other diseases. Oxid. Med. Cell. Longev. (2012)
Dole, M., Wilson, F.R., Fife, W.P.: Hyperbaric hydrogen therapy: a possible treatment for cancer. Science 190, 152–154 (1975)
Ostojic, S.M.: Molecular hydrogen: an inert gas turns clinically effective. Ann. Med. 47, 301–304 (2015)
Ohsawa, I., Ishikawa, M., Takahashi, K., Watanabe, M., Nishimaki, K., Yamagata, K., Katsura, K., Katayama, Y., Asoh, S., Ohta, S.: Hydrogen acts as a therapeutic antioxidant by selectively reducing cytotoxic oxygen radicals. Nat. Med. 13, 688–694 (2007)
Ichihara, M., Sobue, S., Ito, M., Ito, M., Hirayama, M., Ohno, K.: Beneficial biological effects and the underlying mechanisms of molecular hydrogen - comprehensive review of 321 original articles. Med. Gas Res. 5, 1–21 (2015)
Bhattacharya, S., Panda, A.N., Meyer, H.D.: Multiconfiguration time-dependent Hartree approach to study the OH + H2 reaction. J. Chem. Phys. 132, 8 (2010)
Hao, Y., Gu, J., Guo, Y., Zhang, M., Xie, Y., Schaefer III, H.F.: Spin–orbit corrected potential energy surface features for the I (2P3/2) + H2O → HI + OH forward and reverse reactions. Phys. Chem. Chem. Phys. 16, 2641 (2014)
Li, J., Li, Y., Guo, H.: Communication: covalent nature of XH2O (X F, Cl, and Br) interactions. J. Chem. Phys. 138 (2013)
Marx, D., Hutter, J.: Ab initio molecular dynamics: Theory and implementation. Mod. Methods Algorithms Quantum Chem. 1, 301–449 (2000)
Paranjothy, M., Sun, R., Zhuang, Y., Hase, W.L.: Direct chemical dynamics simulations: coupling of classical and quasiclassical trajectories with electronic structure theory. WIRE Comput. Mol. Sci. 3, 296–316 (2013)
Marx, D., Hutter, J.: Ab Initio Molecular Dynamics: Basic Theory and Advanced Methods. Cambridge University Press, New York (2009)
Kasai, T., Che, D.-C., Okada, M., Tsai, P.-Y., Lin, K.-C., Palazzetti, F., Aquilanti, V.: Directions of chemical change: experimental characterization of the stereodynamics of photodissociation and reactive processes. Phys. Chem. Chem. Phys. 16, 9776 (2014)
Cireasa, R., Moise, A., Ter Meulen, J.J.: Steric effects in state-to-state scattering of OH (2Π3/2, J = 3/2, f) by HCl. J. Chem. Phys. 123, 8 (2005)
Coutinho, N.D., Silva, V.H.C., de Oliveira, H.C.B., Camargo, A.J., Mundim, K.C., Aquilanti, V.: Stereodynamical origin of anti-arrhenius kinetics: negative activation energy and roaming for a four-atom reaction. J. Phys. Chem. Lett. 6, 1553–1558 (2015)
CPMDversion 3.17.1: Copyright IBM (2012)
Perdew, J.P., Burke, K., Ernzerhof, M.: Generalized gradient approximation made simple. Phys. Rev. Lett. 78, 1396 (1997). [Phys. Rev. Lett. 77, 3865 (1996)]
Vanderbilt, D.: Soft self-consistent pseudopotentials in a generalized eigenvalue formalism. Phys. Rev. B 41, 7892–7895 (1990)
Martyna, G.J., Klein, M.L., Tuckerman, M.: Nose-Hoover chains: the canonical ensemble via continuous dynamics. J. Chem. Phys. 97, 2635–2643 (1992)
Coutinho, N.D., Aquilanti, V., Silva, V.H.C., Camargo, A.J., Mundim, K.C., de Oliveira, H.C.B.: Stereodirectional origin of anti-arrhenius kinetics for a tetraatomic hydrogen exchange reaction: born-oppenheimer molecular dynamics for OH + HBr. J. Phys. Chem. A 120, 5408–5417 (2016)
Coutinho, N.D., Carvalho-Silva, V.H., de Oliveira, H.C.B., Aquilanti, V.: The HI + OH → H2O + I reaction by first-principles molecular dynamics: stereodirectional and anti-Arrhenius kinetics. In: Gervasi, O., et al. (eds.) ICCSA 2017. LNCS, vol. 10408, pp. 297–313. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-62404-4_22
Coutinho, N.D., Sanches-Neto, F.O., Carvalho-Silva, V.H., de Oliveira, H.C.B., Ribeiro, L.A., Aquilanti, V.: Kinetics of the OH + HCl → H2O + Cl reaction: rate determining roles of stereodynamics and roaming, and the of quantum tunnelling. Submitted (2018)
Hause, M.L., Herath, N., Zhu, R., Lin, M.C., Suits, A.G.: Roaming-mediated isomerization in the photodissociation of nitrobenzene. Nat. Chem. 3, 932–937 (2011)
Herath, N., Suits, A.G.: Roaming radical reactions. J. Phys. Chem. Lett. 2, 642–647 (2011)
Tsai, P.-Y., Chao, M.-H., Kasai, T., Lin, K.-C., Lombardi, A., Palazzetti, F., Aquilanti, V.: Roads leading to roam. Role of triple fragmentation and of conical intersections in photochemical reactions: experiments and theory on methyl formate. Phys. Chem. Chem. Phys. 16, 2854–2865 (2014)
Lombardi, A., Palazzetti, F., Aquilanti, V., Li, H.-K., Tsai, P.-Y., Kasai, T., Lin, K.-C.: Rovibrationally excited molecules on the verge of a triple breakdown: molecular and roaming mechanisms in the photodecomposition of methyl formate. J. Phys. Chem. A 120, 5155–5162 (2016)
Nakamura, M., Tsai, P.-Y., Kasai, T., Lin, K.-C., Palazzetti, F., Lombardi, A., Aquilanti, V.: Dynamical, spectroscopic and computational imaging of bond breaking in photodissociation: roaming and role of conical intersections. Faraday Discuss. 177, 77–98 (2015)
Husain, D., Plane, J.M.C., Xiang, C.C.: Kinetic studies of the reactions of OH(X2Π) with hydrogen chloride and deuterium chloride at elevated temperatures by time-resolved resonance fluorescence (A2∑+ – X2Π). J. Chem. Soc., Faraday Trans. 2(80), 713–728 (1984)
Bryukov, M.G., Dellinger, B., Knyazev, V.D.: Kinetics of the gas-phase reaction of OH with HCl. J. Phys. Chem. A 110, 936–943 (2006)
Sanches-Neto, F.O., Coutinho, N.D., Carvalho-Silva, V.H.: A novel assessment of the role of the methyl radical and water formation channel in the CH3OH + H reaction. Phys. Chem.Chem. Phys. Submit
Marx, D., Parrinello, M.: Ab initio path integral molecular dynamics: basic ideas. J. Chem. Phys. 104, 4077–4082 (1996)
Bell, R.P.: The Tunnel Effect in Chemistry. Chapman and Hall, London (1980)
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The authors are grateful for the support given by CAPES and CNPq. Valter H. Carvalho-Silva thanks PrP/UEG for research funding programs through PROBIP and PRÓ-PROJETOS programs. This research is also supported by the High Performance Computing Center at the Universidade Estadual de Goiás (UEG).
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Coutinho, N.D., Aquilanti, V., Sanches-Neto, F.O., Vaz, E.C., Carvalho-Silva, V.H. (2018). First-Principles Molecular Dynamics and Computed Rate Constants for the Series of OH-HX Reactions (X = H or the Halogens): Non-Arrhenius Kinetics, Stereodynamics and Quantum Tunnel. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2018. ICCSA 2018. Lecture Notes in Computer Science(), vol 10964. Springer, Cham. https://doi.org/10.1007/978-3-319-95174-4_47
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