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Are There Only Fold Catastrophes in the Diels-Alder Reaction Between Ethylene and 1,3-Butadiene?

机译:在乙烯和1,3-丁二烯之间的Diels-ald反应中只有折叠灾难?

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摘要

This work revisits the topological characterization of the Diels-Alder reaction between 1,3-butadiene and ethylene. In contrast to the currently accepted rationalization, we here provide strong evidence in support of a representation in terms of seven structural stability domains separated by a sequence of 10 elementary catastrophes, but all are only of the fold type (F and F+), that is, C4H6 + C2H4:1-7-[FF]F[F+F+][F+F+][FF]F+- 0: C6H10. Such an unexpected finding provides fundamental new insights opening simplifying perspectives concerning the rationalization of the CC bond formation in pericyclic reactions in terms of the simplest Thom's elementary catastrophe, namely, the one-(state) variable, one-(control) parameter function.
机译:这项工作重新审视了1,3-丁二烯和乙烯之间Diels-Alder反应的拓扑特征。与目前公认的合理化相反,我们在这里提供了强有力的证据,支持七个结构稳定域的表示,这些域由一系列10个基本灾难分隔开,但都只是褶皱类型(F和F+),即C4H6+C2H4:1-7-[FF]F[F+F+][F+F+]F+-0:C6H10。这样一个意想不到的发现提供了基本的新见解,打开了简化的视角,从最简单的Thom基本突变,即单(状态)变量、单(控制)参数函数的角度,探讨了环反应中CC键形成的合理化。

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