“…In the oxide, Fe 3 O 4 , with the spinel-type structure, Frenkeltype defects, which are pairs of cation vacancy and cation interstitial, are dominant at high temperatures, and then the diffusion coefficient of the cation, D C (m 2 /s), changes depending on the oxygen activity, a O 2 , as follows, [22][23][24] Dieckmann et al 22,23) showed that the cation diffusivity in Fe 3 O 4 at the temperature of 1 173 to 1 673 K was dominated by the iron-ion vacancy in the range of high oxygen activity, but by the iron-ion interstitial in the range of low oxygen activity. Also, Töpfer et al 25) showed that the defect concentration and the diffusion coefficient of cations, iron ion and chromium ion, depended on the composition, x, in (Fe 1Ϫx Cr x ) 3 O 4 (xϭ0, 0.1, 0.2, 0.3 and 0.4) at 1 473 K. The diffusion coefficients of iron ion and chromium ion changed with the oxygen activity in a similar manner.…”