## Abstract

The equilibrium relation between Ti and O in liquid Fe has been measured only at 1 873 K on the condition of various kinds of titanium oxides saturation in our previous paper. The present work deals with the equilibrium between Ti and O in liquid Fe saturated with 'Ti_{3}O_{5}' and Ti _{2}O_{3} at 1 823 K and 1 923 K for full understanding temperature dependence. Also, equilibrium phase changes of titanium oxides with various Ti contents in molten Fe have been identified as the equilibrium titanium oxides with electron backscatter diffraction (EBSD) pattern analysis technique. The present results have been thermodynamically evaluated combining with previous results on the various thermodynamic values as a function of temperature. The equilibrium constants and the interaction parameters of Wagner's formalism were given as a function of temperature in the present work as follows. Ti_{2}O_{3}(S) = 2Ti+3O. (-10.61, 0.28<mass%Ti<4.89, at 1823K logK_{Ti2O3}=-42 940/T + 12.94, (1823K<T<1923K) -9.99, 0.40<mass%Ti<6.22, at 1873K (-9.39, 0.52<mass%Ti<2.79, at 1923K e_{O}^{Ti} = -701/T+0.0344, (1 823K<T<1 923K) 'Ti_{3}O_{5}'(s) = 3Ti+5O (-17.50, 0.01<mass%Ti<0.28, at 1823K logK_{'Ti3O5'} = -68280/T +19.95, (1823K<T<1923K) -16.52, 0.006<mass%Ti<0.40, at 1873K -15.56, 0.0045<mass%Ti<0.52, at 1923K e_{O}^{Ti} = -701/T+0.0344, (1 823 K<T<1 923K) The Henry constant of Ti in liquid Fe was estimated as a function of temperature. Inγ_{Ti(l)}^{o}=-20 890/T+6.228, (1 823K<7<1 923K) The self-interaction parameter of Ti in liquid Fe was obtained as a function of temperature. e_{Ti}^{Ti} = 212/T-0.0640, (1 823 K<T<1 923 K) The interaction parameters of Redlich-Kister type polynomial for molten Fe-Ti-O alloy were given as the following values in the present work. ^{0}Ω_{Fe-Ti} =-173 600+51.76 T/J, (1 823K<T<1 923 K) ^{0}Ω_{Ti-O}=-1 189000+82.00T/J, (1 823 K<7<1 923 K) The estimated results based on Wagner's formalism as well as Darken's quadratic formalism with Redlich-Kister type polynomials agreed well with the experimental results at 1 823 to 1 923 K.

Original language | English |
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Pages (from-to) | 729-738 |

Number of pages | 10 |

Journal | Isij International |

Volume | 48 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2008 |

## Keywords

- Electron backscatter diffraction
- Interaction parameter
- Phase equilibria
- Quadratic formalism
- Redlich-Kister polynomial
- Thermodynamics
- Ti deoxidation equilibrium
- Titanium oxides

## ASJC Scopus subject areas

- Mechanics of Materials
- Mechanical Engineering
- Metals and Alloys
- Materials Chemistry

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