| A simple, universal theory and method for computer plotting of stable equilibrium phase diagrams of a multisystem——SFM method |
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| 引用本文： | 胡家文,殷辉安,唐明林. A simple, universal theory and method for computer plotting of stable equilibrium phase diagrams of a multisystem——SFM method[J]. 中国科学B辑(英文版), 2000, 43(2): 215-224. DOI: 10.1007/BF03027313 |
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| 作者姓名： | 胡家文 殷辉安 唐明林 |
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| 作者单位： | HU Jiawen,YIN Huian,TANG MinglinDepartment of Applied Chemistry,Chengdu University of Technology,Chengdu 610059,China Correspondence should be addressed to Yin Huian |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China(Grant Nos.49070178,49773200). |
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| 摘 要： | A new easy method has been presented to calculate the variable intervals corresponding to the stable univariant curves and to discriminate the stabilities of invariant points. This method and the one reported previously constitute a simple and universal theory for the computer-plotting of the equilibriumphase diagrams of a multisystem——sign function matrix (SFM) discrimination method. Its main steps are:determining the stable univariant scheme according to the derivative (or difference) of △rGm; grouping the univariant curves by comparisons of the mutual relations among them; determining the existing intervals of the variables for the stable curves by comparisons of coordinate values of the curves about the invariant point; determining the stabilities of invariant points by comparisons of relations between the common curves and the invariant points. This method is suitable for any kind of phase diagram of closed or open systems in a phase diagram "space" with either 2 or more than 2 dimensions.
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| 收稿时间： | 1994-08-17 |
A simple, universal theory and method for computer plotting of stable equilibrium phase diagrams of a multisystem SFM method |
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| HU Jiawen,YIN Huian,TANG Minglin. A simple, universal theory and method for computer plotting of stable equilibrium phase diagrams of a multisystem SFM method[J]. Science in China(Chemistry), 2000, 43(2): 215-224. DOI: 10.1007/BF03027313 |
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| Authors: | HU Jiawen YIN Huian TANG Minglin |
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| Affiliation: | (1) Institut für Geowissenschaften und Lithosphärenforschung der Justus-Liebig-Universität, Senckenberstr. 3, D-35390 Giessen, Germany;(2) Department of Chemistry, Arizona State University, 85287-1604 Tempe, AZ, USA;(3) Geologisk Institut, Aarhus Universitet, DK-8000 Arhus C, Denmark; |
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| Abstract: | A new easy method has been presented to calculate the variable intervals corresponding to the stable univariant curves and to discriminate the stabilities of invariant points. This method and the one reported previously constitute a simple and universal theory for the computer-plotting of the equilibrium phase diagrams of a multisystem sign function matrix (SFM) discrimination method. Its main steps are: determining the stable univariant scheme according to the derivative (or difference) of ΔrGm; grouping the univariant curves by comparisons of the mutual relations among them; determining the existing intervals of the variables for the stable curves by comparisons of coordinate values of the curves about the invariant point; determining the stabilities of invariant points by comparisons of relations between the common curves and the invariant points. This method is suitable for any kind of phase diagram of closed or open systems in a phase diagram "space" with either 2 or more than 2 dimensions. |
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| Keywords: | multisystem computer-plotting of a phase diagram stability of invariant point sign function discrimination matrix. |
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