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2006 | OriginalPaper | Buchkapitel

20. The CALPHAD Method

verfasst von : Hiroshi Ohtani, Prof.

Erschienen in: Springer Handbook of Materials Measurement Methods

Verlag: Springer Berlin Heidelberg

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Abstract

Phase diagrams offer various areas of materials science and technology indispensable information for the comprehension of the properties of materials. The microstructure of solid materials is generally classified according to the size of the constituents – for example, at the electron, atomic, or granular level (see Chap. 3). Accordingly, fundamental principles like quantum mechanics, statistical mechanics, or thermodynamics are applied individually to describe the physical properties. Phases are important features of material because they characterize homogeneous aggregations of matter with respect to chemical composition and uniform crystal structure. The various functions of a material are closely related to the phases and structures of the material's composition. Therefore, to develop a material with a maximum level of desired functions, it is essential to undertake design of the structure in advance.
Phase diagrams are composed by means of experimental measurements, as well as statistical thermodynamic analysis. The construction of phase diagram calculations based on experiments and thermodynamic analysis are generally referred to as the calculation of phase diagrams (CALPHAD) approach [20.1]. This method provides a very accurate understanding of the properties originating in the macroscopic character of the material under study.
This chapter is organized in three parts:
  • In the first part, a brief outline of the CALPHAD method is summarized.
  • In the second part, the method for deriving the Gibbs free energies incorporating the ab initio calculations is presented in order to clarify the uncertainty of thermodynamic properties for metastable solution phases, taking theFe–Be-based bcc phase as an example. Some results for metastable phase equilibria in the Fe–Be,
    and Co–Al binary systems are shown.
  • In the third part the application to predict thermodynamic properties of compound phases is discussed. The thermodynamic modeling for the Perovskite carbide with an E21-type structure in the Fe–Al–C, Co–Al–C and Ni–Al–C ternary systems is illustrated, and constructions of phase diagrams are performed.

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20.1.
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20.17.
Zurück zum Zitat H. Ohtani, Y. Chen, M. Hasebe: Phase separation of the B2 structure accompanied by an ordering in Co–Al and Ni–Al binary systems, Mater. Trans. 45, 1489–1498 (2004)CrossRef H. Ohtani, Y. Chen, M. Hasebe: Phase separation of the B2 structure accompanied by an ordering in Co–Al and Ni–Al binary systems, Mater. Trans. 45, 1489–1498 (2004)CrossRef
20.18.
Zurück zum Zitat H. Ohtani, M. Yamano, M. Hasebe: Thermodynamic analysis of the Fe–Al–C ternary system by incorporating ab initio energetic calculations into the CALPHAD approach, ISIJ Intern. 44, 1738–1747 (2004)CrossRef H. Ohtani, M. Yamano, M. Hasebe: Thermodynamic analysis of the Fe–Al–C ternary system by incorporating ab initio energetic calculations into the CALPHAD approach, ISIJ Intern. 44, 1738–1747 (2004)CrossRef
20.19.
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20.20.
Zurück zum Zitat Y. Kimura, M. Takahashi, S. Miura, T. Suzuki, Y. Mishima: Phase stability and relations of multi-phase alloys based on B2 CoAl and E21 Co3AlC, Intermet. 3, 413–425 (1995)CrossRef Y. Kimura, M. Takahashi, S. Miura, T. Suzuki, Y. Mishima: Phase stability and relations of multi-phase alloys based on B2 CoAl and E21 Co3AlC, Intermet. 3, 413–425 (1995)CrossRef
20.21.
Zurück zum Zitat M. Palm, G. Inden: Experimental determination of phase equilibria in the Fe–Al–C system, Intermet. 3, 443–454 (1995)CrossRef M. Palm, G. Inden: Experimental determination of phase equilibria in the Fe–Al–C system, Intermet. 3, 443–454 (1995)CrossRef
20.22.
Zurück zum Zitat H. Ohtani, M. Yamano, M. Hasebe: Thermodynamic analysis of the Co–Al–C and Ni–Al–C systems by incorporating ab initio energetic calculations into the CALPHAD approach, Comp. Coupling Phase Diag. Thermochem. 28, 177–190 (2004) H. Ohtani, M. Yamano, M. Hasebe: Thermodynamic analysis of the Co–Al–C and Ni–Al–C systems by incorporating ab initio energetic calculations into the CALPHAD approach, Comp. Coupling Phase Diag. Thermochem. 28, 177–190 (2004)
Metadaten
Titel
The CALPHAD Method
verfasst von
Hiroshi Ohtani, Prof.
Copyright-Jahr
2006
DOI
https://doi.org/10.1007/978-3-540-30300-8_20

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