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 |