The self-diffusion of Fe and the impurity diffusion of Ge in this B20 phase were studied as a function of temperature by using the radio-tracer method and the isotopes, 59Fe and 71Ge. The latter was used to simulate Si self-diffusion. Both of the diffusivities were very small, and the values for Fe were some 1 to 2 orders of magnitude smaller than those for Ge. This uncoupled diffusion was explained in terms of vacancy-based diffusion on the Fe and Si sub-lattices. Both of the diffusivities attained a value of about 10-14m2/s at 1683K. The overall results (tables 5 and 6, figure 11) for volume diffusion could be described by:

59Fe      D (m2/s) = 3.44 x 10-3 exp[-3.88(eV/atom)/kT]

71Ge      D (m2/s) = 3.27 x 10-8 exp[-2.09(eV/atom)/kT]

The triple products for grain-boundary diffusion were calculated from the slope of the grain boundary-dominated sections of penetration profiles. The results (tables 7 and 8, figure 12) for boundary diffusion could be described by:

59Fe      D (m3/s) = 4.30 x 104 exp[-4.47(eV/atom)/kT]

71Ge      D (m3/s) = 3.34 x 10-2 exp[-2.42(eV/atom)/kT]

Diffusion in the B20-Type Phase FeSi. M.Salamon, H.Mehrer: Philosophical Magazine A, 1999, 79[9], 2137-55

 

Table 5

Bulk Diffusivity of 59Fe in FeSi

 

Temperature (K)

D (m2/s)

1137

5.64 x 10-20

1168

1.70 x 10-19

1175

3.72 x 10-20

1193

1.41 x 10-19

1223

2.72 x 10-19

1276

1.78 x 10-18

1320

2.40 x 10-18

1325

8.64 x 10-18

1330

5.03 x 10-18

1340

3.22 x 10-18

1372

2.66 x 10-17

1421

5.39 x 10-17

1487

4.32 x 10-16

1522

5.36 x 10-16

1574

1.10 x 10-15

 

 

Table 6

Bulk Diffusivity of 71Ge in FeSi

 

Temperature (K)

D (m2/s)

954

2.88 x 10-19

987

6.35 x 10-19

1020

2.91 x 10-18

1062

4.12 x 10-18

1140

4.38 x 10-17

1164

2.95 x 10-17

1180

9.11 x 10-17

1219

6.47 x 10-17

1259

1.64 x 10-16

1315

2.83 x 10-16

1380

1.66 x 10-15

 

 

Figure 11

Bulk Diffusivity of 59Fe and 71Ge in FeSi

 

 

Table 7

Grain-Boundary Diffusivity of 59Fe in FeSi

 

Temperature (K)

P (m3/s)

1137

3.22 x 10-25

1168

9.36 x 10-25

1175

3.73 x 10-25

1193

4.06 x 10-23

1223

1.48 x 10-23

1276

4.76 x 10-23

1320

4.78 x 10-22

1325

3.02 x 10-22

1330

4.11 x 10-22

1340

2.64 x 10-22

1372

2.66 x 10-21

1421

2.48 x 10-22

1487

6.33 x 10-21

1522

7.88 x 10-20

1574

5.47 x 10-20

 

 

Table 8

Grain-Boundary Diffusivity of 71Ge in FeSi

 

Temperature (K)

P (m3/s)

954

3.27 x 10-24

987

4.91 x 10-24

1020

2.46 x 10-23

1062

4.64 x 10-23

1140

9.51 x 10-22

1164

4.95 x 10-22

1180

9.19 x 10-22

1219

1.56 x 10-21

1259

6.50 x 10-21

1315

7.65 x 10-21

1380

2.68 x 10-20

 

 

Figure 12

Grain Boundary Diffusivity of 59Fe and 71Ge in FeSi