Premium
The application of symbolic computing to chemical kinetic reaction schemes
Author(s) -
Holmes Mark H.,
Bell Jonathan
Publication year - 1991
Publication title -
journal of computational chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.907
H-Index - 188
eISSN - 1096-987X
pISSN - 0192-8651
DOI - 10.1002/jcc.540121009
Subject(s) - computation , matrix (chemical analysis) , computer science , conservation law , ternary operation , symbolic computation , scheme (mathematics) , mathematics , chemical equation , algorithm , algebra over a field , theoretical computer science , chemistry , pure mathematics , mathematical analysis , chromatography , programming language
Abstract Given a reaction mechanism we show how a symbolic computation approach can be used to develop the kinetic equations by identifying the reaction scheme with an equivalent matrix. Our method is also applicable in cases where the stoichiometric matrix approach fails. The specific algorithm that is written applies to schemes where individual reactions are at most ternary, but the way to generalize the procedure is also discussed. By using symbolic computing it is possible to determine general properties of the system. We demonstrate this by showing how to use the matrix to determine the system's conservation laws, which in turn can be used to reduce the number of equations in the system. As another application it is shown how to determine some of the species which have a zero equilibrium state. To illustrate the procedure, example reaction schemes are investigated.