The behavior of Fe in monocrystalline material was investigated at temperatures ranging from 651 to 870K (table 43). Ion-beam sputtering and secondary-ion mass spectrometry were used to measure the concentration versus depth profiles. It was found that the diffusion of Fe could be described by:
D (m2/s) = 1.0 x 10-5exp[-2.04(eV)/kT]
It was noted that these results were consistent with previously reported high-temperature tracer data. By combining the latter data with the present low-temperature results, a curvature of the Arrhenius plot was revealed. This curvature was attributed to the contribution that was made by di-vacancies at high temperatures. The variation of the diffusivities of Fe as a function of temperature could be explained by using a modified electrostatic model for impurity diffusion and by assuming effective values for the charge difference between host atoms and impurities.
A.Almazouzi, M.P.Macht, V.Naundorf, G.Neumann: Physical Review B, 1996, 54[2], 857-63
Table 44
Parameters for H Isotope Diffusion in Cu Single Crystals at 720 to 1200K
Isotope | Do (cm2/s) | E (kcal/mol) |
H | 1.13 x 10-2 | 9.286 |
D | 7.30 x 10-3 | 8.794 |
T | 6.12 x 10-3 | 8.717 |