In the present paper cusp catastrophe is used to model the topological property of poten-tial energy profile of elementary reactions, and four typical situations, which can be trans-formed into two types, have been systematically analyzed with 58 independent elementaryreactions. The main results obtained here are (i) the concept of activation energy is brieflydiscussed and extended; (ii) the reaction O+ CO→CO2 is found to belong to type Ⅳ, not totype Ⅰ;and (iii) there may be some special correlation between α1 and α2. Finally the neces-sary discussions are carried out.
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