The pressure dependence of the diffusivity of transition elements (tables 15 to 19) 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.
G.Rummel, T.Zumkley, M.Eggersmann, K.Freitag, H.Mehrer: Zeitschrift für Metallkunde, 1995, 86[2], 131-40
Table 15
Diffusivity of 54Mn in Al at 925.2K
under Hydrostatic Pressure
Pressure (MPa) | D (m2/s) |
0.1 | 1.54 x 10-16 |
98 | 1.32 x 10-16 |
205 | 9.73 x 10-15 |
282 | 9.31 x 10-15 |
315 | 8.14 x 10-15 |
374.6 | 7.16 x 10-15 |
443.4 | 6.05 x 10-15 |
512.3 | 5.58 x 10-15 |
569.4 | 4.85 x 10-15 |
614.8 | 4.06 x 10-15 |
Table 16
Diffusivity of 59Fe in Al under Hydrostatic Pressure
Temperature (K) | Pressure (MPa) | D (m2/s) |
854 | 37 | 1.90 x 10-16 |
854 | 172 | 1.34 x 10-16 |
854 | 286 | 9.08 x 10-15 |
854 | 310 | 8.52 x 10-15 |
854 | 437 | 5.52 x 10-15 |
854 | 642 | 2.50 x 10-15 |
894 | 6 | 7.03 x 10-16 |
894 | 181 | 3.44 x 10-16 |
894 | 356 | 1.85 x 10-16 |
894 | 520 | 1.17 x 10-16 |
894 | 673 | 5.76 x 10-15 |
Table 17
Diffusivity of 57Co in Al under Hydrostatic Pressure
Temperature (K) | Pressure (MPa) | D (m2/s) |
849.2 | 0.1 | 8.52 x 10-16 |
849.2 | 122.5 | 6.05 x 10-16 |
849.2 | 255.5 | 4.16 x 10-16 |
849.2 | 387.5 | 3.01 x 10-16 |
849.2 | 567 | 1.76 x 10-16 |
762.2 | 0.1 | 5.61 x 10-15 |
762.2 | 27.4 | 4.65 x 10-15 |
762.2 | 242 | 3.10 x 10-15 |
762.2 | 443.3 | 1.65 x 10-15 |
762.2 | 611.2 | 1.15 x 10-15 |
Table 18
Diffusivity of 51Cr in Al at 927K
under Hydrostatic Pressure
Pressure (MPa) | D (m2/s) |
238 | 9.8 x 10-16 |
700 | 3.5 x 10-16 |
455 | 3.3 x 10-16 |
642.5 | 2.1 x 10-16 |
Table 19
Activation Parameters for the Diffusion of Various Elements in Al
Diffusant | Do (m2/s) | Q (kJ/mol) |
Cr | 10 | 282 |
Mn | 0.0087 | 208.2 |
Fe | 0.77 | 221 |
Co | 0.0193 | 168.4 |