4.5 Article

Modeling of Gibbs energies of pure elements down to 0 K using segmented regression

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.calphad.2016.09.001

Keywords

Debye model of heat capacity; Unary description; Nonlinear segmented regression; Statistical analysis

Funding

  1. Collaborative Research Center Statistical modeling of nonlinear dynamic processes of the German Research Foundation (DFG) [SFB 823]
  2. Collaborative Research Center Superalloys Single Crystal [DFG TRR103, TR-103]
  3. Sino-German Cooperation Group GZ 755 Microstructure in Al Alloys [GZ 755]

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A novel thermodynamic modeling strategy of stable solid alloy phases is proposed based on segmented regression approach. The model considers several physical effects (e.g. electronic, vibrational, etc.) and is valid from 0 K up to the melting temperature. The preceding approach has been applied for several pure elements. Results show good agreement with experimental data at low and high temperatures. Since it is not a first attempt to propose a universal physical-based model down to 0 K for the pure elements as an alternative to current SGTE description, we also compare the results to existing models. Analysis of the obtained results shows that the newly proposed model delivers more accurate description down to 0 K for all studied pure elements according to several statistical tests. (C) 2016 Elsevier Ltd. All rights reserved.

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