1997
DOI: 10.1002/bbpc.19971010323
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Unimolecular decomposition of large organic radicals with low reaction thresholds: Decomposition and reversible isomerization of n‐pentyl radicals

Abstract: The decomposition kinetics of n-pentyl radicals in the high temperature regime where steady state distributions are not achieved and reversible isomerization to decomposing 2-pentyl radicals is of importance has been analyzed through the solution of the time-dependent master equation. The reactions are characterized by low activation thresholds and lead to large rate constants that vary with time. Particular attention is paid to branching ratios for direct decomposition of the n-pentyl radical and the decompos… Show more

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Cited by 34 publications
(44 citation statements)
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“…When these eigenvalues are not well separated, as tends to happen at high temperatures for low barrier processes such as the dissociation of a weakly-bound radical R [37,38], the dissociation and energy relaxation occur in unison and the chemical conversion cannot be represented with a simple rate law.…”
Section: Chemical Reactions and Phenomenological Rate Coefficientsmentioning
confidence: 99%
“…When these eigenvalues are not well separated, as tends to happen at high temperatures for low barrier processes such as the dissociation of a weakly-bound radical R [37,38], the dissociation and energy relaxation occur in unison and the chemical conversion cannot be represented with a simple rate law.…”
Section: Chemical Reactions and Phenomenological Rate Coefficientsmentioning
confidence: 99%
“…The high pressure rate expressions can then be used to project results over all temperatures and pressures. A serious problem is the high temperature situation where rate constants are no longer constant (Tsang, Bedanov & Zachariah, 1996) due to the occurrence of a dynamic situation arising as the molecular energy distributions change. Fortunately at these high temperatures only the branching ratios are of importance.…”
Section: Pah and Sootmentioning
confidence: 99%
“…Our implementation is, however, based on the solution of the timedependent master equation [6] using the Householder and QR algorithms for tridiagonalization and the determination of eigenvalues and functions. This leads to the determination of the complete time evolution, beginning with the initial transient and ending with the steady-state distribution, of the system.…”
Section: Master Equation Treatmentmentioning
confidence: 99%
“…Rate constants have meaning only under the latter conditions. The details of our approach have been summarized in a series of recent papers [6][7][8]. A Windows-based program has been prepared.…”
Section: Master Equation Treatmentmentioning
confidence: 99%