The pressure dependence of the diffusivity of transition elements (table 15) was studied by using the radio-tracer method, with serial sectioning by microtome. The radio-isotopes were implanted so as to avoid problems with oxide hold-up and with the low solubility of transition elements. Diffusion annealing was then carried out in a high-pressure cell at Ar pressures of up to 0.8GPa. The activation volumes for diffusion were determined by isothermal annealing. It was recalled that the activation volumes of non-transition elements were close to one atomic volume, and were not very different from the activation volume for self-diffusion. On the other hand, the transition elements had diffusion activation volumes of between 2.7 and 1.67 atomic volumes. They were also characterized by high activation enthalpies and pre-exponential factors. The results were explained in terms of differences, in vacancy-solute interaction, between transition and non-transition solutes. The results could be described by:
D (m2/s) = 1.0 x 101 exp[-282(kJ/mol)/RT]
G.Rummel, T.Zumkley, M.Eggersmann, K.Freitag, H.Mehrer: Zeitschrift für Metallkunde, 1995, 86[2], 131-40
Table 17
Diffusion of 71Ge along [111] Tilt Grain Boundaries in Al
Temperature (K) | Tilt Angle (º) | sδD (m3/s) |
518 | 34.15 | 2.04 x 10-19 |
518 | 34.53 | 1.37 x 10-19 |
518 | 36.77 | 3.53 x 10-19 |
518 | 37.27 | 3.35 x 10-19 |
518 | 38.31 | 4.14 x 10-20 |
518 | 38.60 | 6.81 x 10-20 |
518 | 38.94 | 2.19 x 10-19 |
518 | 39.07 | 2.90 x 10-19 |
518 | 39.58 | 3.24 x 10-19 |
518 | 40.66 | 3.78 x 10-19 |
518 | 41.41 | 3.26 x 10-19 |
564 | 34.15 | 4.93 x 10-19 |
564 | 34.53 | 2.34 x 10-19 |
564 | 36.77 | 8.19 x 10-19 |
564 | 37.27 | 4.34 x 10-19 |
564 | 38.31 | 7.69 x 10-20 |
564 | 38.60 | 2.45 x 10-19 |
564 | 38.94 | 5.37 x 10-19 |
564 | 39.07 | 2.67 x 10-19 |
564 | 39.58 | 7.45 x 10-19 |
564 | 40.66 | 7.99 x 10-19 |
Table 17 (continued)
Diffusion of 71Ge along [111] Tilt Grain Boundaries in Al
Temperature (K) | Tilt Angle (º) | sδD (m3/s) |
564 | 41.41 | 5.22 x 10-19 |
591 | 34.15 | 6.97 x 10-19 |
591 | 34.53 | 4.84 x 10-19 |
591 | 37.27 | 5.70 x 10-19 |
594 | 36.77 | 1.34 x 10-18 |
594 | 38.31 | 1.85 x 10-19 |
594 | 38.60 | 5.44 x 10-19 |
591 | 38.94 | 7.07 x 10-19 |
594 | 39.07 | 4.35 x 10-19 |
591 | 39.58 | 9.03 x 10-19 |
591 | 41.41 | 6.35 x 10-19 |
635 | 34.15 | 1.19 x 10-18 |
635 | 34.53 | 1.13 x 10-18 |
634 | 36.77 | 2.39 x 10-18 |
635 | 37.27 | 1.31 x 10-18 |
634 | 38.31 | 5.16 x 10-19 |
634 | 38.60 | 5.58 x 10-19 |
635 | 38.94 | 1.72 x 10-18 |
634 | 39.07 | 1.62 x 10-18 |
635 | 40.66 | 2.09 x 10-18 |
635 | 41.41 | 3.27 x 10-18 |
680 | 36.77 | 3.48 x 10-18 |