Implementation of an Effective Bond Energy Formalism in the Multicomponent Calphad Approach

Author:

Dupin Nathalie1,Kattner Ursula R.2,Sundman Bo3,Palumbo Mauro4,Fries Suzana G.5

Affiliation:

1. Calcul Thermodynamique, 63670 Orcet, France

2. National Institute of Standards and Technology, Material Measurement Laboratory, Gaithersburg, MD 20899, USA

3. KTH Royal Institute of Technology, 10044 Stockholm, Sweden

4. COMPUMAT, 10095 Grugliasco (TO), Italy

5. Ruhr-University Bochum, 44801 Bochum, Germany

Abstract

Most models currently used for complex phases in the calculation of phase diagrams (Calphad) method are based on the compound energy formalism. The way this formalism is presently used, however, is prone to poor extrapolation behavior in higher-order systems, especially when treating phases with complex crystal structures. In this paper, a partition of the Gibbs energy into effective bond energies, without changing its confgurational entropy expression, is proposed, thereby remarkably improving the extrapolation behavior. The proposed model allows the use of as many sublattices as there are occupied Wyckoff sites and has great potential for reducing the number of necessary parameters, thus allowing shorter computational time. Examples for face centered cubic (fcc) ordering and the σ phase are given.

Funder

Material Measurement Laboratory

Publisher

National Institute of Standards and Technology (NIST)

Subject

General Engineering

Reference33 articles.

1. Saunders N, Miodownik AP (1998) CALPHAD (Calculation of Phase Diagrams): A Comprehensive Guide (Pergamon Press, Elsevier Science, Oxford, UK).

2. Lukas HL, Fries SG, Sundman B (2007) Computational Thermodynamics: The Calphad Method (Cambridge University Press, Cambridge, UK).

3. OpenCalphad. Available at https://github.com/sundmanbo/opencalphad.

4. A compound-energy model of ordering in a phase with sites of different coordination numbers

5. The compound energy formalism

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