Kt. Jacob et al., Synergistic use of thermogravimetric and electrochemical techniques for thermodynamic study of TiOx (1.67 <= x <= 2.0) at 1573 K, MATER T JIM, 41(6), 2000, pp. 681-689
A thermodynamic study of the Ti-O system at 1573 K has been conducted using
a combination of thermogravimetric and emf techniques. The results indicat
e that the variation of oxygen potential with the nonstoichiometric paramet
er delta in stability domain of TiO2-delta with rutile structure can be rep
resented by the relation, Delta mu o(2) = -6RT In delta - 711970(+/-1600) J
/mol. The corresponding relation between non-stoichiometric parameter delta
and partial pressure of oxygen across the whole stability range of TiO2-de
lta at 1573 K is delta proportional to P-O2(-1/6). It is therefore evident
that the oxygen deficient behavior of nonstoichiometric TiO2-delta is domin
ated by the presence of doubly charged oxygen vacancies and free electrons.
The high-precision measurements enabled the resolution of oxygen potential
steps corresponding to the different Magneli phases (Ti-n O2n-1) up to n =
15. Beyond this value of n, the oxygen potential steps were too small to b
e resolved. Based on composition of the Magneli phase in equilibrium with T
iO2-delta, the maximum value of n is estimated to be 28. The chemical poten
tial of titanium was derived as a function of composition using the Gibbs-D
uhem relation. Gibbs energies of formation of the Magneli phases were deriv
ed from the chemical potentials of oxygen and titanium. The values of -2441
.8(+/-5.8) kJ/mol for Ti4O7 and -1775.4(+/-4.3) kJ/mol for Ti3O5 Obtained i
n this study refine values of -2436.2(+/-26.1) kJ/mol and -1771.3(+/-6.9) k
J/mol, respectively, given in the JANAF thermochemical tables.