D + DBr反应的态-态动力学研究

袁方园; 朱子亮

doi:10.7498/aps.69.20200321

摘要

在0—2.0 eV的碰撞能范围内采用含时量子波包方法和二阶分裂算符传播子对初始量子态为(v₀ = 0, j₀ = 0)的D + DBr反应进行了态分辨理论水平上的动力学计算. 计算了抽取反应通道D + DBr → Br + D₂和置换反应通道$ \rm D' + DBr \to D + D'Br $的反应概率、积分截面、微分截面、产物的振动和转动分布以及速率常数等动力学性质, 并与相应的理论和实验结果进行了比较. 结果表明: 计算的速率常数与实验结果十分符合. 微分截面的结果表明: 对于抽取反应, 前向的剥离反应机制在反应过程中占据主导地位; 对于置换反应, 头碰头的反弹机制占据主导地位.

关键词:

Abstract

The state-to-state quantum dynamics studies of the abstraction channel D + DBr → Br + D₂ and exchange channel $\rm D' + DBr \to D + D'Br$ of the D +DBr reaction are carried out by using the time-dependent wave packet method with second-order split operator in a collision energy range from 0 to 2.0 eV. The potential energy surface reported by Li et al. (Li W T, He D, Sun Z G 2019 J. Chem. Phys. 151 185102) is adopted in this work. The dynamics properties such as reaction probability, integral cross section (ICS), differential cross section (DCS), the distribution of product ro-vibrational states, specific-state rate constant, etc. are reported and compared with available theoretical and experimental values. The ICSs are compared with the values reported by Zhang et al. and good agreement is achieved between each other, except a little difference at high collision energy. The specific-state rate constants of the title reaction are studied in a temperature range from 200 to 1000 K and present values are in good agreement with experimental data and the Zhang et al.’s results. For abstraction reaction, the backward DCSs reflect the head on “rebound” mechanism dominates in the low collision energy region and abstract mechanism plays a dominant role for the abstraction reaction at high collision energy. In addition, sideward DCSs are observed which stem from the crossing of the two electronic states on the potential energy surface and these values are not reliable. For exchange reaction, the head on “rebound” mechanism dominates the reaction in the collision energy range studied. However, the forward and sideward DCSs are more and more apparent as the collision energy increases.

Keywords:

作者及机构信息

潍坊科技学院通识学院, 寿光　262700

通信作者: 袁方园, yuanfy0505@163.com

Authors and contacts

College of General Education, Weifang University of Science and Technology, Shouguang 262700, China

Corresponding author: Yuan Fang-Yuan, yuanfy0505@163.com

文章全文

参考文献

[1]	Husain D, Slater K H 1980 J. Chem. Soc., Faraday Trans. 76 606 Google Scholar
[2]	Jourdain J L, Lebras G, Combourieu J 1981 Chem. Phys. Lett. 78 483 Google Scholar
[3]	Seakins P W, Pilling M J 1991 J. Phys. Chem. 95 9878 Google Scholar
[4]	Talukdar R K, Warren R F, Vaghijiani G L, Ravishankara A R 1992 Int. J. Chem. Kinet. 24 973 Google Scholar
[5]	Mitchell T J, Gonzalez A C, Benson S W 1995 J. Phys. Chem. 99 16960 Google Scholar
[6]	Umemoto H, Wada Y, Tsunashima S, Takayanagi T, Sato S 1990 Chem. Phys. 143 333 Google Scholar
[7]	Aker P M, Germann G J, Tabor K D, Valentini J J 1989 J. Chem. Phys. 90 4809 Google Scholar
[8]	Aker P M, Germann G J, Valentini J J 1989 J. Chem. Phys. 90 4795 Google Scholar
[9]	Aker P M, Valentini J J 1993 Int. Rev. Phys. Chem. 12 363 Google Scholar
[10]	Pomerantz A E, Camden J P, Chiou A S, Ausfelder F, Chawla N, Hase W L, Zare R N 2005 J. Am. Chem. Soc. 127 16368 Google Scholar
[11]	Lynch G C, Truhlar D G, Brown F B, Zhao J G 1995 J. Phys. Chem. 99 207 Google Scholar
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[20]	Xie C J, Jiang B, Xie D Q 2011 J. Chem. Phys. 134 184303 Google Scholar
[21]	Jiang B, Xie C J, Xie D Q 2011 J. Chem. Phys. 135 164311 Google Scholar
[22]	Xie C J, Jiang B, Xie D Q, Sun Z G 2012 J. Chem. Phys. 136 114310 Google Scholar
[23]	Zhang A J, Zhang P Y, Chu T S, Han K L, He G Z 2012 J. Chem. Phys. 137 194305 Google Scholar
[24]	Zhang A J, Jia J F, Wu H S, He G Z 2014 J. Mol. Model. 20 2367 Google Scholar
[25]	Li W T, He D, Sun Z G 2019 J. Chem. Phys. 151 185102 Google Scholar
[26]	李文涛, 于文涛, 姚明海 2018 物理学报 67 103401 Google Scholar Li W T, Yu W T, Yao M H 2018 Acta Phys. Sin. 67 103401 Google Scholar
[27]	张静, 魏巍, 高守宝, 孟庆田 2015 物理学报 64 063101 Google Scholar Zhang J, Wei W, Gao S B, Meng Q T 2015 Acta Phys. Sin. 64 063101 Google Scholar
[28]	段志欣, 邱明辉, 姚翠霞 2014 物理学报 63 063402 Google Scholar Duan Z X, Qiu M H, Yao C X 2014 Acta Phys. Sin. 63 063402 Google Scholar
[29]	袁美玲, 李文涛 2019 物理学报 68 083401 Google Scholar Yuan M L, Li W T 2019 Acta Phys. Sin. 68 083401 Google Scholar
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施引文献

图 1 势能面的最小能量路径　(a) 抽取反应通道; (b) 置换反应通道

Fig. 1. Minimum energy path of the potential energy surface: (a) Abstraction channel; (b) exchange channel.

下载: 全尺寸图片幻灯片

图 2 若干总角动量J的反应概率　(a) 抽取反应; (b) 置换反应

Fig. 2. The reaction probabilities of several selected total angular momentum J: (a) Abstraction reaction; (b) exchange reaction.

下载: 全尺寸图片幻灯片

图 3 (a) 抽取反应总积分截面和文献[24]的结果比较; (b) 抽取反应振动分辨的积分截面

Fig. 3. (a) Comparison between present total integral cross section of abstraction reaction and the values obtained from Ref. [24]; (b) the vibrational state-resolved integral cross section of abstraction reaction.

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图 4 在若干选择的碰撞能下, 产物D₂的振转态分布

Fig. 4. The ro-vibrational distribution of D₂ at several selected collision energies.

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图 5 置换反应总的积分截面和振动分辨的积分截面

Fig. 5. The total and vibrational state-resolved integral cross section of exchange reaction.

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图 6 在若干选择的碰撞能下, 置换反应的产物的振转分布

Fig. 6. The ro-vibrational distribution of products for exchange reaction at several selected collision energies.

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图 7 (a) 在若干碰撞能下, 抽取反应的微分截面; (b) 在若干碰撞能下, 置换反应的微分截面

Fig. 7. (a) The differential cross sections of abstraction reaction at several selected collision energies; (b) the differential cross sections of exchange reaction at several selected collision energies.

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图 8 (a) 在200−1000 K温度范围内, 抽取反应的速率常数以及文献[1,6,24]的结果; (b) 在0−3000 K温度范围内, 置换反应的速率常数

Fig. 8. (a) The rate constant of abstraction reaction and the values obtained from Refs.[1,6,24] in the temperature range from 200 to 1000 K; (b) the rate constant of the exchange reaction in the temperature range from 0 to 3000 K.

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[1]	Husain D, Slater K H 1980 J. Chem. Soc., Faraday Trans. 76 606 Google Scholar
[2]	Jourdain J L, Lebras G, Combourieu J 1981 Chem. Phys. Lett. 78 483 Google Scholar
[3]	Seakins P W, Pilling M J 1991 J. Phys. Chem. 95 9878 Google Scholar
[4]	Talukdar R K, Warren R F, Vaghijiani G L, Ravishankara A R 1992 Int. J. Chem. Kinet. 24 973 Google Scholar
[5]	Mitchell T J, Gonzalez A C, Benson S W 1995 J. Phys. Chem. 99 16960 Google Scholar
[6]	Umemoto H, Wada Y, Tsunashima S, Takayanagi T, Sato S 1990 Chem. Phys. 143 333 Google Scholar
[7]	Aker P M, Germann G J, Tabor K D, Valentini J J 1989 J. Chem. Phys. 90 4809 Google Scholar
[8]	Aker P M, Germann G J, Valentini J J 1989 J. Chem. Phys. 90 4795 Google Scholar
[9]	Aker P M, Valentini J J 1993 Int. Rev. Phys. Chem. 12 363 Google Scholar
[10]	Pomerantz A E, Camden J P, Chiou A S, Ausfelder F, Chawla N, Hase W L, Zare R N 2005 J. Am. Chem. Soc. 127 16368 Google Scholar
[11]	Lynch G C, Truhlar D G, Brown F B, Zhao J G 1995 J. Phys. Chem. 99 207 Google Scholar
[12]	Kurosaki Y, Takayanagi T 2003 J. Chem. Phys. 119 7838 Google Scholar
[13]	Kurosaki Y, Takayanagi T 2005 Chem. Phys. Lett. 406 121 Google Scholar
[14]	Quan W L, Song Q, Tang B Y 2007 Chem. Phys. Lett. 437 165 Google Scholar
[15]	Quan W L, Song Q, Tang B Y 2007 Chem. Phys. Lett. 442 228 Google Scholar
[16]	Quan W L, Tang P Y, Tang B Y 2007 Int. J. Quantum Chem. 107 657 Google Scholar
[17]	Fu B, Zhang D H 2007 J. Phys. Chem. A 111 9516 Google Scholar
[18]	Fu B, Zhou Y, Zhang D H 2008 J. Theor. Comput. Chem. 7 777 Google Scholar
[19]	Jiang B, Xie C J, Xie D Q 2011 J. Chem. Phys. 134 114301 Google Scholar
[20]	Xie C J, Jiang B, Xie D Q 2011 J. Chem. Phys. 134 184303 Google Scholar
[21]	Jiang B, Xie C J, Xie D Q 2011 J. Chem. Phys. 135 164311 Google Scholar
[22]	Xie C J, Jiang B, Xie D Q, Sun Z G 2012 J. Chem. Phys. 136 114310 Google Scholar
[23]	Zhang A J, Zhang P Y, Chu T S, Han K L, He G Z 2012 J. Chem. Phys. 137 194305 Google Scholar
[24]	Zhang A J, Jia J F, Wu H S, He G Z 2014 J. Mol. Model. 20 2367 Google Scholar
[25]	Li W T, He D, Sun Z G 2019 J. Chem. Phys. 151 185102 Google Scholar
[26]	李文涛, 于文涛, 姚明海 2018 物理学报 67 103401 Google Scholar Li W T, Yu W T, Yao M H 2018 Acta Phys. Sin. 67 103401 Google Scholar
[27]	张静, 魏巍, 高守宝, 孟庆田 2015 物理学报 64 063101 Google Scholar Zhang J, Wei W, Gao S B, Meng Q T 2015 Acta Phys. Sin. 64 063101 Google Scholar
[28]	段志欣, 邱明辉, 姚翠霞 2014 物理学报 63 063402 Google Scholar Duan Z X, Qiu M H, Yao C X 2014 Acta Phys. Sin. 63 063402 Google Scholar
[29]	袁美玲, 李文涛 2019 物理学报 68 083401 Google Scholar Yuan M L, Li W T 2019 Acta Phys. Sin. 68 083401 Google Scholar
[30]	Zhai H S, Liang G L, Ding J X, Liu Y F 2019 Chin. Phys. B 28 053401 Google Scholar
[31]	Feit M D, Fleck J A, Steiger A 1982 J. Comput. Phys. 47 412 Google Scholar
[32]	Fleck J A, Morris Jr J R, Feit M D 1976 Appl. Phys. 10 129
[33]	Light J C, Hamilton I P, Lill J V 1985 J. Chem. Phys. 82 1400 Google Scholar
[34]	Gómez-Carrasco S, Roncero O 2006 J. Chem. Phys. 125 054102 Google Scholar
[35]	Sun Z G, Lin X, Lee S Y, Zhang D H 2009 J. Phys. Chem. A 113 4145 Google Scholar
[36]	Polanyi J C 1987 Angew. Chem. Int. Ed. 26 952 Google Scholar
[37]	Yue D G, Zhang L L, Zhao J, Song Y Z, Meng Q T 2019 Eur. Phys. J. D 73 219 Google Scholar

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D + DBr反应的态-态动力学研究