Abstract
In this paper we derive recurrence relations that describe how the equilibrium mean of the number molecules of a reactant varies with each of the parameters defining the initial state for four basic reversible chemical reactions. In essence, the relations provide a rationale for updating the equilibrium mean following the addition (or removal) of a molecule of one of the types involved in the reaction, there being a relation for each type. With a new parameterization introduced for each reaction, the relations provide a convenient means of evaluating the means, variances and other important moments without any need to work out the underlying distributions. As an application, the relations are used to numerically assess-approximate expressions for the means and variances.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol2iss0pp77-85
- Journal
- Sultan Qaboos University Journal for Science, 2, 77
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Elsheikh, E. (1997). Recurrence Relations for the Equilibrium Means of Distributions Arising in Chemical Reactions. Sultan Qaboos University Journal for Science, 2, 77. https://doi.org/10.24200/squjs.vol2iss0pp77-85
MLA 9
Elsheikh, E.K. "Recurrence Relations for the Equilibrium Means of Distributions Arising in Chemical Reactions." Sultan Qaboos University Journal for Science, vol. 2, 1997, pp. 77. https://doi.org/10.24200/squjs.vol2iss0pp77-85.
Chicago (author–date)
Elsheikh, E.K. 1997. "Recurrence Relations for the Equilibrium Means of Distributions Arising in Chemical Reactions." Sultan Qaboos University Journal for Science 2: 77. https://doi.org/10.24200/squjs.vol2iss0pp77-85.
Harvard
Elsheikh, E. (1997) 'Recurrence Relations for the Equilibrium Means of Distributions Arising in Chemical Reactions', Sultan Qaboos University Journal for Science, 2, pp. 77. doi:10.24200/squjs.vol2iss0pp77-85.
Vancouver
Elsheikh E. Recurrence Relations for the Equilibrium Means of Distributions Arising in Chemical Reactions. Sultan Qaboos University Journal for Science. 1997;2:77. doi:10.24200/squjs.vol2iss0pp77-85
IEEE
E. Elsheikh, "Recurrence Relations for the Equilibrium Means of Distributions Arising in Chemical Reactions," Sultan Qaboos University Journal for Science, vol. 2, pp. 77, 1997, doi: 10.24200/squjs.vol2iss0pp77-85.