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