The behavior of Fe and Ni in monocrystalline material was investigated at temperatures ranging from 651 to 870K, and from 613 to 949K, respectively (tables 40 and 41). 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 and Ni could be described by:
Fe: D (m2/s) = 1.0 x 10-5exp[-2.04(eV)/kT]
Ni: D (m2/s) = 6.2 x 10-5exp[-2.32(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 and Ni 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 40
Diffusivity of Ni in Cu
Temperature (K) | D (m2/s) |
613 | 4.67 x 10-24 |
622 | 8.32 x 10-24 |
637 | 2.10 x 10-23 |
659 | 1.38 x 10-22 |
685.5 | 4.00 x 10-22 |
698 | 1.02 x 10-21 |
705 | 1.87 x 10-21 |
732.5 | 4.28 x 10-21 |
735 | 7.15 x 10-21 |
750 | 1.68 x 10-20 |
766.5 | 3.75 x 10-20 |
782.5 | 9.86 x 10-20 |
801 | 1.44 x 10-19 |
849 | 9.25 x 10-19 |
872 | 3.05 x 10-18 |
921.5 | 1.08 x 10-17 |
949 | 2.22 x 10-17 |
Table 41
Diffusivity of Fe in Cu
Temperature (K) | D (m2/s) |
651 | 1.96 x 10-21 |
663 | 3.35 x 10-21 |
680 | 4.59 x 10-21 |
691 | 1.98 x 10-20 |
704 | 2.34 x 10-20 |
719 | 5.93 x 10-20 |
741 | 1.15 x 10-19 |
756 | 2.80 x 10-19 |
787 | 9.53 x 10-19 |
801 | 1.40 x 10-18 |
830 | 4.14 x 10-18 |
843 | 7.38 x 10-18 |
850 | 8.81 x 10-18 |
870 | 1.55 x 10-17 |