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