The tracer diffusion of 181Hf, 95Nb and 95Zr was measured in the body-centered cubic structures of these Hf-Nb alloys in order to determine whether the Arrhenius plot for self-diffusion exhibited any curvature; as in the case of body-centered cubic Zr-Nb alloys. In the case of the latter alloys, a continuous change in the diffusion anomaly with respect to self-diffusion in pure body-centered cubic Zr had been found. This reflected the systematic variation in electronic structure which occurred upon alloying group-V with group-VI body-centered cubic transition metals. The classification of self-diffusion in body-centered cubic Hf as normal or anomalous had not been possible because of its existence range of only 485K. The alloying of Hf with Nb stabilized the body-centered cubic structure to lower temperatures and considerably extended its existence range. Because the phonon-related diffusion model predicted self-diffusion in body-centered cubic Hf to lead to curved Arrhenius plots, it was expected that such curvature would be exhibited by the Hf-Nb alloys. However, measurements (tables 4 to 11) yielded straight plots for the present alloys.
P.Knorr, C.Herzig: Journal of Physics - Condensed Matter, 1995, 7[48], 9185-200
Table 4
Diffusivity of 181Hf in Hf-18at%Nb
Temperature (K)
|
D(m2/s) |
1257 |
1.57 x 10-15 |
1276 | 1.55 x 10-15 |
1319 | 5.19 x 10-15 |
1388 | 1.28 x 10-14 |
1529 | 1.20 x 10-13 |
1633 | 1.71 x 10-13 |
1785 | 9.91 x 10-13 |
1853 | 1.56 x 10-12 |
1981 | 3.54 x 10-12 |
2051 | 4.86 x 10-12 |
2173 | 1.35 x 10-11
|
Table 5
Diffusivity of 95Zr in Hf-18at%Nb
Temperature (K)
|
D(m2/s) |
1257 |
2.38 x 10-15 |
1319 | 7.00 x 10-15 |
1529 | 1.76 x 10-13 |
1633 | 2.40 x 10-13 |
1981 | 4.96 x 10-12 |
2173 | 1.85 x 10-11
|
Table 6
Diffusivity of 95Nb in Hf-18at%Nb
Temperature (K)
|
D(m2/s) |
1257 |
7.97 x 10-16 |
1319 | 3.18 x 10-15 |
1529 | 6.62 x 10-14 |
1633 | 1.04 x 10-13 |
1981 | 3.05 x 10-12 |
2173 | 1.33 x 10-11
|
Table 7
Diffusivity of 181Hf in Hf-10at%Nb
Temperature (K)
|
D(m2/s) |
1758 |
9.36 x 10-13 |
1863 | 2.16 x 10-12 |
2003 | 4.63 x 10-12 |
2113 | 8.68 x 10-12 |
2268 | 1.78 x 10-11
|
Table 8
Diffusivity of 95Zr in Hf-10at%Nb
Temperature (K)
|
D(m2/s) |
1758 |
1.16 x 10-12 |
1863 | 2.96 x 10-12 |
2113 | 1.14 x 10-11 |
2268 | 2.42 x 10-11
|
Table 9
Diffusivity of 95Nb in Hf-10at%Nb
Temperature (K)
|
D(m2/s) |
1758 |
8.22 x 10-13 |
1863 | 1.59 x 10-12 |
2113 | 7.53 x 10-12 |
2268 | 1.79 x 10-11
|
Table 10
Diffusion Parameters for 181Hf, 95Nb and 95Zr in Hf-Nb Alloys
Nb(at%) |
Isotope |
Do(m2/s) |
Q(kJ/mol)
|
18 |
Hf |
2.23 x 10-6 |
219.4 |
18 | Zr | 3.07 x 10-6 | 219.3 |
18 | Nb | 4.82 x 10-6 | 234.7 |
10 | Hf | 4.15 x 10-7 | 189.5 |
10 | Zr | 6.97 x 10-7 | 193.3 |
10 | Nb | 7.26 x 10-7 | 200.9
|
Table 11
Partial Correlation Factors for 181Hf and 95Nb in Hf-Nb Alloys
Temperature (K) |
Nb(at%) |
Isotope |
f
|
2100 |
10 |
Hf |
0.725 |
2100 | 10 | Nb | 0.749 |
2100 | 18 | Hf | 0.722 |
2100 | 18 | Nb | 0.750 |
2000 | 10 | Hf | 0.724 |
2000 | 10 | Nb | 0.757 |
2000 | 18 | Hf | 0.720 |
2000 | 18 | Nb | 0.759 |
1900 | 10 | Hf | 0.723 |
1900 | 10 | Nb | 0.765 |
1900 | 18 | Hf | 0.718 |
1900 | 18 | Nb | 0.770 |
1800 | 10 | Hf | 0.722 |
1800 | 10 | Nb | 0.773 |
1800 | 18 | Hf | 0.716 |
1800 | 18 | Nb | 0.779 |
1700 | 10 | Hf | 0.721 |
1700 | 10 | Hf | 0.782 |
1700 | 18 | Hf | 0.713 |
1700 | 18 | Hf | 0.790 |
1600 | 18 | Hf | 0.711 |
1600 | 18 | Hf | 0.802 |
1500 | 18 | Hf | 0.708 |
1500 | 18 | Hf | 0.815 |
1400 | 18 | Hf | 0.705 |
1400 | 18 | Hf | 0.829 |
1300 | 18 | Hf | 0.702 |
1300 | 18 | Hf | 0.843
|