Thermal decomposition of 1,1,2,2‐tetramethylcyclopropane in a single‐pulse shock tube

1,1,2,2‐Tetramethylcyclopropane (TTMC) has been decomposed in a single‐pulse shock tube. The main reaction process isSide reactions are unimportant. From comparative rate experiments (with cyclohexene decomposition as standard) the rate expression for these reactions are\documentclass{article}\pagestyle{empty}\begin{document}$$ k_1 = 10^{14.82} \exp \left( {{{ - 31,320} \mathord{\left/ {\vphantom {{ - 31,320} {\rm T}}} \right. \kern-\nulldelimiterspace} {\rm T}}} \right)\sec ^{ - 1} $$\end{document}\documentclass{article}\pagestyle{empty}\begin{document}$$ k_2 \sim 10^{16.0} \exp \left( {{{ - 35,050} \mathord{\left/ {\vphantom {{ - 35,050} T}} \right. \kern-\nulldelimiterspace} T}} \right)\sec ^{ - 1} $$\end{document}These numbers are consistent with a «best» value for cyclohexene decomposition of\documentclass{article}\pagestyle{empty}\begin{document}$$ k\left( {c{\rm C}_{\rm 6} {\rm H}_{{\rm 10}} \to 1,3 - {\rm C}_{\rm 4} {\rm H}_{\rm 6} + {\rm C}_{\rm 2} {\rm H}_{\rm 4} } \right) = 10^{15.15} \exp \left( {{{33,500} \mathord{\left/ {\vphantom {{33,500} {\rm T}}} \right. \kern-\nulldelimiterspace} {\rm T}}} \right)\sec ^{ - 1} $$\end{document}