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OP-II-3

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PP-I-42NEW APPROACH OF DEFINITION OF NUMBER OF STATIONARYSTATES FOR CATALYTIC REACTIONSPatmar E.S., Koltsov N.I.Chuvash State University, Cheboksary, RussiaE-mail: edi75@mail.ru, koltsovni@mail.ruOne of stages of the decision of a return problem of chemical kinetics isdiscrimination of mechanisms of reactions on number of internal stationary states(ISS) - stationary states in which concentration of all intermediate substancesnonzero. In work [1] the criterion of multiplicity of stationary states has beendeveloped. This criterion allows to hold on discrimination of mechanisms on the basisof a realization two ISS. However this method does not give an opportunity todetermine a realization of three and more ISS. In [2] is shown that ISS number cangrow wrilimited all bounds with growth intermediate substances number. In [3] thepossibility of exponentional increases in ISS number with growth of quantity ofintermediate substances is established: for the mechanisms with three intermediatesubstances probably up to 9 ISS, for the mechanisms with four intermediatesubstances – 27 ISS’s and in general for mechanisms with n intermediatesubstances are possible 3 n–1 ISS. We develop the new approach for definition ofnumber ISS for one-route catalytic reactions. It consists in the following:1) from investigated set of equations stationary expressions for constants of stagerates are defined;2) the set of all possible values of concentration of intermediate substances breakson n-dimensional (as a rule rectangular) areas;3) for each of these areas possible values of constants of stage rates (area of valuesof constants) are counted up;4) maximum number ISS from a condition is defined that it does not surpass numberof areas of concentration of intermediate substances for which values of stagerates constants can be identical.The resulted approach allows not only to position a realizability of certain numberISS but also and to construct the areas characterised by set number ISS. Therefore itis applicable both at discrimination of mechanisms and for a finding of conditions atwhich concrete number ISS for investigated reaction is realised.For the reaction295

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