33. A New Model of the Excess Gibbs Energy of Mixing for a Regular Solution

Yasushi Kakuda, Etsuo Uchida, Naova Imai

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    The excess Gibbs energy of mixing for a regular solution can be derived systematically by defining the interaction energy for particle groups composed of closest neighbors at equivalent site. The internal energy of a system is regarded as the sum of the interaction energy for particle groups and the excess function is derived from the sum of the interaction energy change caused by the formations of particle groups. In the present paper, we have derived the excess Gibbs energy of mixing for ternary and quaternary regular solutions with a closest packing. For a ternary regular solution, the molar excess Gibbs energy of mixing is given as follows, where Xiis a mole fraction of the component i and Wijkis an interaction parameter of [ijk] triplet. The following expressions for w-component systems are derived by the similar method by supposing interaction energy among r particles. Some previously proposed models can be derived from our model.

    Original languageEnglish
    Pages (from-to)163-168
    Number of pages6
    JournalProceedings of the Japan Academy Series B: Physical and Biological Sciences
    Volume70
    Issue number10
    DOIs
    Publication statusPublished - 1994

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    energy
    interactions
    internal energy
    methodology

    Keywords

    • Excess Gibbs energy
    • Quaternary system
    • Regular solution
    • Ternary system
    • Thermodynamics

    ASJC Scopus subject areas

    • General

    Cite this

    33. A New Model of the Excess Gibbs Energy of Mixing for a Regular Solution. / Kakuda, Yasushi; Uchida, Etsuo; Imai, Naova.

    In: Proceedings of the Japan Academy Series B: Physical and Biological Sciences, Vol. 70, No. 10, 1994, p. 163-168.

    Research output: Contribution to journalArticle

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