####
J. Japan Inst. Metals, Vol. 54, No. 2 (1990),

pp. 139-145

##
Analysis of Ordering and Phase Separation in a bcc Fe-Si-V Ternary System Based on the Bragg-Williams-Gorsky Model

**
Pi Zhi Zhao**^{1}, Takao Kozakai^{2} and Toru Miyazaki^{1}

^{1}Graduate Student, Nagoya Institute of Technology, Nagoya

^{2}Department of Materials Science and Engineering, Nagoya Institute of Technology, Nagoya

#### Abstract:

Free energy of the Fe-base ternary ordering alloys where B2 and DO_{3} ordered structures are formed is evaluated by a statistical approach employing the Bragg-Williams-Gorsky approximation: the magnetic interactions are taken into account between the first and the second nearest neighbour spins of atoms as well as the usual atomic interactions up to the second nearest neighbours. An application of this model was performed on the Fe-Si-V ternary ordering system. The equilibrium phase diagrams of the Fe-Si-V systems given by the present calculation are consistent with the previously obtained experimental results. It becomes also clear in the calculation that not only the two-phase field becomes much wider but also the driving force for the phase separation increases by considering the ferromagnetic interaction.

(Received 1989/9/21)

#### Keywords:

free energy, Bragg-Williams-Gorsky model, ferromagnetic effect, ordering and phase separation, phase diagram, iron-silicon-vanadium

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