[
    {
        "id": "osp-13656",
        "type": "article-journal",
        "title": "Recurrence Relations for the Equilibrium Means of Distributions Arising in Chemical Reactions",
        "author": [
            {
                "family": "Elsheikh",
                "given": "E.K."
            }
        ],
        "URL": "https://omanscience.com/en/articles/recurrence-relations-for-the-equilibrium-means-of-distributions-arising-in-chemical-reactions",
        "language": "en",
        "issued": {
            "date-parts": [
                [
                    1997
                ]
            ]
        },
        "container-title": "Sultan Qaboos University Journal for Science",
        "volume": "2",
        "page": "77",
        "DOI": "10.24200/squjs.vol2iss0pp77-85",
        "publisher": "Sultan Qaboos University",
        "ISSN": "2308-3921",
        "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."
    }
]