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A critical thermodynamic assessment of the metastable c-TiAlZrN coatings,   which are reported to spinodally decompose into triple domains, i.e., c-TiN,   c-AlN, and c-ZrN, was performed via the CALculation of PHAse Diagram   (CALPHAD) technique based on the limited experimental data as well as the   first-principles computed free energies. The metastable c-TiAlZrN coatings   were modeled as a pseudo-ternary phase consisting of c-TiN, c-AlN and c-ZrN   species, and described using the substitutional solution model. The   thermodynamic descriptions for the three boundary binaries were directly   taken from either the CALPHAD assessment or the first-principles results   available in the literature except for a re-adjustment of the pseudo-binary   c-AlN/c-ZrN system based on the experimental phase equilibria in the   pseudo-ternary system. The good agreement between the calculated phase   equilibria and the experimental data over the wide temperature range was   obtained, validating the reliability of the presently obtained thermodynamic   descriptions for the c-TiAlZrN system. Based on the present thermodynamic   description, different phase diagrams and thermodynamic properties can be   easily predicted. It is anticipated that the present thermodynamic   description of the metastable c-TiAlZrN coatings can serve as the important   input for the later quantitative description of the microstructure evolution   during service life

A thermodynamic description of metastable c-TiAlZrN coatings with triple spinodally decomposed domains