The behavior of -phase solid solutions exhibited the entire range of characteristics of anomalous diffusion in group-IVb elements. Arrhenius plots of the interdiffusion coefficients (table 91) indicated the operation of a mono-vacancy diffusion mechanism. A temperature dependence of the migration energy resulted from softening of the phonon LA(2/3)<111> mode. A curvature of the Arrhenius plots was attributed to the temperature-dependent T1(1/2)<110> mode. At temperatures of between 1000 and 1900C, the interdiffusion coefficients of these alloys could be assumed to be independent of the composition.
D.Ansel, A.Margottet, M.Boliveau, J.Debuigne: Scripta Materialia, 1996, 34[5], 749-55
Table 91
Interdiffusion in the Hf-Zr System
Temperature (C) | Zr (at%) | D (cm2/s) |
1820 | 10 | 1.01 x 10-7 |
1900 | 10 | 1.38 x 10-7 |
1820 | 15 | 1.03 x 10-7 |
1900 | 15 | 1.39 x 10-7 |
1820 | 20 | 1.05 x 10-7 |
1900 | 20 | 1.39 x 10-7 |
1820 | 25 | 1.07 x 10-7 |
1900 | 25 | 1.38 x 10-7 |
1600 | 30 | 4.41 x 10-8 |
1700 | 30 | 5.49 x 10-8 |
1820 | 30 | 1.08 x 10-7 |
1900 | 30 | 1.40 x 10-7 |
1600 | 35 | 4.46 x 10-8 |
1700 | 35 | 6.08 x 10-8 |
1820 | 35 | 1.09 x 10-7 |
1900 | 35 | 1.41 x 10-7 |
1500 | 40 | 2.45 x 10-8 |
1600 | 40 | 4.50 x 10-8 |
1700 | 40 | 6.29 x 10-8 |
1820 | 40 | 1.10 x 10-7 |
1900 | 40 | 1.42 x 10-7 |
1500 | 45 | 2.53 x 10-8 |
1600 | 45 | 4.56 x 10-8 |
1700 | 45 | 6.48 x 10-8 |
1820 | 45 | 1.10 x 10-7 |
1900 | 45 | 1.45 x 10-7 |
1500 | 50 | 2.59 x 10-8 |
1600 | 50 | 4.60 x 10-8 |
1700 | 50 | 6.57 x 10-8 |
1820 | 50 | 1.10 x 10-7 |
1400 | 55 | 1.30 x 10-8 |
1500 | 55 | 2.79 x 10-8 |
1600 | 55 | 4.73 x 10-8 |
1700 | 55 | 6.58 x 10-8 |
1820 | 55 | 1.11 x 10-7 |
1400 | 60 | 1.33 x 10-8 |
1500 | 60 | 2.80 x 10-8 |
1600 | 60 | 4.84 x 10-8 |
1700 | 60 | 6.46 x 10-8 |
1820 | 60 | 1.12 x 10-7 |
1300 | 65 | 7.53 x 10-9 |
1400 | 65 | 1.34 x 10-8 |
1500 | 65 | 2.68 x 10-8 |
1600 | 65 | 4.79 x 10-8 |
1700 | 65 | 6.35 x 10-8 |
1820 | 65 | 1.13 x 10-7 |
1300 | 70 | 7.55 x 10-9 |
1400 | 70 | 1.34 x 10-8 |
1500 | 70 | 2.66 x 10-8 |
1600 | 70 | 4.67 x 10-8 |
1700 | 70 | 6.36 x 10-8 |
1820 | 70 | 1.14 x 10-7 |
1200 | 75 | 4.11 x 10-9 |
1300 | 75 | 7.62 x 10-9 |
1400 | 75 | 1.41 x 10-8 |
1500 | 75 | 2.71 x 10-8 |
1600 | 75 | 4.55 x 10-8 |
1700 | 75 | 6.37 x 10-8 |
1820 | 75 | 1.15 x 10-7 |
1200 | 80 | 4.46 x 10-9 |
1300 | 80 | 7.82 x 10-9 |
1400 | 80 | 1.51 x 10-8 |
1500 | 80 | 2.69 x 10-8 |
1600 | 80 | 4.45 x 10-8 |
1700 | 80 | 6.39 x 10-8 |
1820 | 80 | 1.18 x 10-7 |
1100 | 85 | 2.36 x 10-9 |
1200 | 85 | 4.46 x 10-9 |
1300 | 85 | 8.17 x 10-9 |
1400 | 85 | 1.51 x 10-8 |
1500 | 85 | 2.56 x 10-8 |
1600 | 85 | 4.39 x 10-8 |
1700 | 85 | 6.45 x 10-8 |
1820 | 85 | 1.21 x 10-7 |
1100 | 90 | 2.78 x 10-9 |
1200 | 90 | 4.45 x 10-9 |
1300 | 90 | 8.42 x 10-9 |
1400 | 90 | 1.38 x 10-8 |
1500 | 90 | 2.49 x 10-8 |
1600 | 90 | 4.42 x 10-8 |
1700 | 90 | 6.46 x 10-8 |
1820 | 90 | 1.22 x 10-7 |
1000 | 95 | 9.60 x 10-10 |
1100 | 95 | 2.86 x 10-9 |
1200 | 95 | 4.55 x 10-9 |
1300 | 95 | 9.93 x 10-9 |
1400 | 95 | 1.34 x 10-8 |
1500 | 95 | 2.55 x 10-8 |
1600 | 95 | 4.52 x 10-8 |
1700 | 95 | 6.79 x 10-8 |
1820 | 95 | 1.22 x 10-7 |