Reaction rates as virtual constraints in Gibbs energy minimization

Pertti Koukkari, Risto Pajarre, Peter Blomberg

    Research output: Contribution to journalArticleScientificpeer-review

    15 Citations (Scopus)


    The constrained Gibbs energy method has been developed for the use of immaterial entities in the formula conservation matrix of the Gibbs energy minimization problem. The new method enables the association of the conservation matrix with structural, physical, chemical, and energetic properties, and thus the scope of free energy calculations can be extended beyond the conventional studies of global chemical equilibria and phase diagrams. The use of immaterial constraints enables thermochemical calculations in partial equilibrium systems as well as in systems controlled by work factors. In addition, they allow the introduction of mechanistic reaction kinetics to the Gibbsian multiphase analysis. The constrained advancements of reactions are incorporated into the Gibbs energy calculation by using additional virtual phases in the conservation matrix. The virtual components are then utilized to meet the incremental consumption of reactants or the formation of products in the kinetically slow reactions. The respective thermodynamic properties for the intermediate states can be used in reaction rate formulations, e.g., by applying the reaction quotients.
    Original languageEnglish
    Pages (from-to)1063-1074
    Number of pages12
    JournalPure and Applied Chemistry
    Issue number5
    Publication statusPublished - 2011
    MoE publication typeA1 Journal article-refereed


    • constrained Gibbs energy minimization
    • reaction quotients
    • reaction rates
    • virtual components
    • virtual species


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