The grand partition function of dilute biregular solutions

Meguru Nagamori, Kimihisa Ito, Motonori Tokuda

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    It has been demonstrated that the grand partition function (GPF) of biregular solutions contains in one single equation such thermodynamic principles as Henry's law, Raoult's law, the Gibbs-Duhem relation, Raoultian activity coefficients and their finite power series, Wagner's rec-iprocity, Schenck-Frohberg-Steinmetz's interchange, Lupis-Elliott's additivity, Mori-Morooka's disparity, and Darken's quadratic formalism. The logarithm of the Raoultian activity coefficient of species i, In γi should not be expressed by the Taylor series expansion, lest its truncation infringe the Gibbs-Duhem equation. The GPF methodology establishes that In γi, is not a vector but a scalar point function, free from any path dependence. While Darken's quadratic formalism employs three parameters to describe a ternary solution, the present biregularity approximation offers an alternative using seven empirical parameters, in case better accuracy is needed.

    Original languageEnglish
    Pages (from-to)703-711
    Number of pages9
    JournalMetallurgical and Materials Transactions B
    Volume25
    Issue number5
    DOIs
    Publication statusPublished - 1994 Oct

    Fingerprint

    partitions
    Activity coefficients
    Raoult law
    formalism
    Gibbs equations
    Henry law
    Taylor series
    power series
    Interchanges
    coefficients
    series expansion
    logarithms
    approximation
    Thermodynamics
    methodology
    scalars
    thermodynamics

    ASJC Scopus subject areas

    • Metals and Alloys
    • Materials Science(all)

    Cite this

    The grand partition function of dilute biregular solutions. / Nagamori, Meguru; Ito, Kimihisa; Tokuda, Motonori.

    In: Metallurgical and Materials Transactions B, Vol. 25, No. 5, 10.1994, p. 703-711.

    Research output: Contribution to journalArticle

    Nagamori, Meguru ; Ito, Kimihisa ; Tokuda, Motonori. / The grand partition function of dilute biregular solutions. In: Metallurgical and Materials Transactions B. 1994 ; Vol. 25, No. 5. pp. 703-711.
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