The diffusivity of 71Ge was measured (tables 26 and 27) in a series of bi-crystals with symmetrical near Σ =7 θ = 38.2º (12¯3)[111] tilt grain boundaries. The precise orientations of the bi-crystals were measured by using a modified Kossel technique. The tilt angles ranged from 34.15 to 41.41º. Boundary diffusion measurements were performed by serial sectioning parallel to the tilt axis, in the type-B kinetic regime, at temperatures ranging from 518 to 680K. A characteristic non-continuous dependence of the measured grain-boundary diffusion parameter upon the tilt angle was observed at all temperatures. The grain-boundary diffusion parameter exhibited a distinct minimum at the orientation of the ideal Σ =7 θ = 38.2º (12¯3)[111] boundary, while the corresponding Arrhenius parameters were at their maxima. The orientation dependence of the grain-boundary diffusion was explained in terms of the concept of CSL boundaries. No clear effect of twist angle or second tilt angle upon grain-boundary diffusion was observed.

T.Surholt, D.A.Molodov, C.Herzig: Acta Materialia, 1998, 46[15], 5345-55

 

Table 26

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

continued

 

Table 26 (continued)

Diffusion of 71Ge along [111] Tilt Grain Boundaries in Al

 

Temperature (K)

Tilt Angle (º)

sδD (m3/s)

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

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

Table 27

Arrhenius Parameters for 71Ge Diffusion in Al [111] Tilt Boundaries

 

Tilt Angle (º)

sδD (m3/s)

E (kJ/mol)

34.15

3.0 x 10-15

41.11

34.53

1.3 x 10-14

49.84

36.77

6.6 x 10-15

42.18

37.27

9.6 x 10-15

47.25

38.31

9.2 x 10-14

64.10

38.60

2.8 x 10-14

55.07

38.94

1.1 x 10-14

46.89

39.07

1.5 x 10-15

38.26

39.58

1.7 x 10-15

36.80

40.66

4.1 x 10-15

40.00

41.41

7.7 x 10-17

23.49