In systems of first-order reactlons contammg some u-reversible steps, charactenstlc vectors occur that do not correspond to directly observable straight hne reactlon paths A proJectIon techmaue IS Dresented and discussed that wdl transform such charactenstlc vectors mto artdic~al straight hnk rea&on
Hamiltonian dynamics of chemical reactions. Consecutive first-order reactions and reactions possessing one autocatalytic intermediate
β Scribed by T. Georgian; J. M. Halpin; G. L. Findley
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 618 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0192-8651
No coin nor oath required. For personal study only.
β¦ Synopsis
is applied to all consecutive first-order, single-step reactions, and to all reactions possessing one autocatalytic intermediate. The reaction Hamiltonians presented are shown to be consistent with the phenomenological rate equations and the relationship between reaction form and the form of the reaction potential is discussed. In particular, we show: (1) that the interaction between consecutive reactions manifests itself as a coupling term in the reaction potential, a term which may be eliminated via transition to "normal reaction coordinates" for the chemical system; and (2) that coupled sets of autocatalytic reactions give rise to coupling terms in the reaction Hamiltonian which are characteristic of the reaction mechanism.
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