Homogeneous chiral autocatalysis: A simple, purely stochastic kinetic model

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Abstract

A continuous-time, discrete-state stochastic approach was used to study a simple, chiral autocatalytic model that was composed of the following three reactions: A → 0.5BR + 0.5BS (v1 = k u[A]), A + BR → 2BR (v2 = kc[A][BR]), A + BS → 2BS (v3 = kc[A][BS]). It is shown that the final distribution of enantiomers BR and BS is described by the one-parameter probability function Cxδ(1-x)δ, where x is the molar fraction of BR, δ = 0.5/α -1 (where α = kc/(kuNAV), NA is Avogadro's constant, and V is the volume of the sample), and C = Γ(1/α)/{Γ(0.5/α)}2 (where Γ is the gamma function). Comparison with two published examples shows that the probability function introduced here gives a reasonable interpretation of the experimental results.

Original languageEnglish
Pages (from-to)9475-9478
Number of pages4
JournalJournal of Physical Chemistry A
Volume108
Issue number44
DOIs
Publication statusPublished - Nov 4 2004

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autocatalysis
gamma function
Kinetics
enantiomers
kinetics
Enantiomers

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

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Homogeneous chiral autocatalysis : A simple, purely stochastic kinetic model. / Lente, G.

In: Journal of Physical Chemistry A, Vol. 108, No. 44, 04.11.2004, p. 9475-9478.

Research output: Contribution to journalArticle

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