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Spin-flip reactions of Zr + C2H6 researched by relativistic density functional theory
Authors:Yi Xiao  Xian-Yang Chen  Yi-Xiang Qiu  Shu-Guang Wang
Institution:1. School of Chemistry and Chemical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China
Abstract:Density functional theory (DFT) with relativistic corrections of zero-order regular approximation (ZORA) has been applied to explore the reaction mechanisms of ethane dehydrogenation by Zr atom with triplet and singlet spin-states. Among the complicated minimum energy reaction path, the available states involves three transition states (TS), and four stationary states (1) to (4) and one intersystem crossing with spin-flip (marked by ?): 3 Zr + C 2 H 6 3 Zr-CH 3 -CH 3 ( 3 1) → 3 TS 1/2 3 ZrH-CH 2 -CH 3 ( 3 2) → 3 TS 2/3 ? 1 ZrH2-CH2 = CH2 ( 1 3) → 1 TS 3/4 1 ZrH 3 -CH = CH 2 ( 1 4). The minimum energy crossing point is determined with the help of the DFT fractional-occupation-number (FON) approach. The spin inversion leads the reaction pathway transferring from the triplet potential energy surface (PES) to the singlet’s accompanying with the activation of the second C-H bond. The overall reaction is calculated to be exothermic by about 231 kJ mol?1. Frequency and NBO analysis are also applied to confirm with the experimental observed data.
Reaction 3 Zr + C 2 H 6 → 3 ZrH ? CH 2 ? CH 3 ? 1 ZrH 2 ? CH 2 = CH 2 → 1 ZrH 3 ? CH = CH 2 $ {}^{\mathbf{3}}\mathrm{Zr}+{\mathrm{C}}_{\mathbf{2}}{\mathrm{H}}_{\mathbf{6}}{\to}^{\mathbf{3}}\mathrm{Zr}\mathrm{H}-{\mathrm{C}\mathrm{H}}_{\mathbf{2}}-{\mathrm{C}\mathrm{H}}_{\mathbf{3}}{\Rightarrow}^{\mathbf{1}}{\mathrm{ZrH}}_2-{\mathrm{C}\mathrm{H}}_2={\mathrm{C}\mathrm{H}}_2{\to}^{\mathbf{1}}{\mathrm{ZrH}}_{\mathbf{3}}-\mathrm{CH}={\mathrm{C}\mathrm{H}}_{\mathbf{2}} $ proceeds via spin-flip surface hopping over several transition states has been investigated. The minimum energy crossing point is determined with the help of the DFT fractional-occupation-number (FON) approach.
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