Interdiffusion was studied in Cu-rich α-phase alloys by using couple techniques at 1023 to 1133K. The concentration profiles indicated that the diffusion distance of Mn was longer than that of Ni. The interdiffusion fluxes showed that zero-flux planes existed in the diffusion zones. The effect of the indirect fluxes became larger with increasing Mn or Ni concentration. The diffusion paths were S-shaped. The direct coefficients, DMnMnCu and DNiNiCu, were positive and the indirect coefficients, DMnNiCu and DNiMnCu, were negative. The 4 interdiffusion coefficients were very sensitive to the Ni and Mn concentrations. The temperature dependences of the coefficients could be described by the expressions:
DMnMnCu (table 100): D(m2/s) = 0.00064 exp[-219(kJ/mol)/RT]
DMnNiCu (table 101): D(m2/s) = -0.022 exp[-259(kJ/mol)/RT]
DNiMnCu (table 102): D(m2/s) = -0.0002 exp[-218(kJ/mol)/RT]
DNiNiCu (table 103): D(m2/s) = 0.00017 exp[-220(kJ/mol)/RT]
On the basis of the estimated values of the interaction parameters, it was concluded that the interaction energy of the Ni-Mn bonds was much larger than those of the Cu-Ni and Cu-Mn bonds.
T.Takahashi, M.Katoh, Y.Minamino, T.Yamane: Journal of the Japan Institute of Metals, 1987, 51[8], 701-9
Table 99
Interdiffusion Parameters for the Cu-Mn System
Mn(at%) | Do (cm2/s) | E (kJ/mol) |
5 | 0.37 | 187 |
10 | 0.56 | 187 |
15 | 0.51 | 183 |
20 | 0.53 | 181 |
25 | 0.66 | 181 |
30 | 1.17 | 186 |
35 | 1.33 | 189 |
40 | 2.34 | 197 |
45 | 10.7 | 216 |
50 | 93.6 | 241 |
55 | 41.0 | 239 |
60 | 2.1 | 218 |
65 | 0.14 | 198 |
70 | 0.07 | 195 |
75 | 0.16 | 204 |
Table 100
Interdiffusion Coefficient, DMnMnCu, for Cu-Ni-Mn Alloys at 1073K
Ni(at%) | Mn(at%) | D (m2/s) |
0.11 | 3.5 | 2.4 x 10-14 |
0.23 | 11.7 | 6.3 x 10-14 |
0.27 | 11.9 | 5.7 x 10-14 |
0.29 | 6.9 | 4.3 x 10-14 |
0.43 | 7.2 | 2.4 x 10-14 |
1.5 | 3.2 | 1.8 x 10-14 |
2.5 | 15.7 | 7.7 x 10-14 |
continued
Table 100 (continued)
Interdiffusion Coefficient, DMnMnCu, for Cu-Ni-Mn Alloys at 1073K
Ni(at%) | Mn(at%) | D (m2/s) |
2.6 | 15.8 | 9.7 x 10-14 |
2.9 | 6.7 | 2.5 x 10-14 |
4.1 | 7.5 | 2.5 x 10-14 |
4.3 | 4.7 | 2.0 x 10-14 |
5.1 | 0.98 | 9.7 x 10-15 |
5.2 | 0.99 | 1.0 x 10-14 |
5.2 | 12.7 | 3.6 x 10-14 |
5.6 | 13.1 | 3.2 x 10-14 |
7.2 | 6.4 | 1.4 x 10-14 |
8.9 | 10.5 | 2.0 x 10-14 |
9.0 | 26.7 | 6.5 x 10-14 |
9.2 | 7.5 | 1.4 x 10-14 |
9.2 | 23.8 | 6.4 x 10-15 |
9.3 | 1.6 | 8.9 x 10-15 |
10.7 | 1.8 | 6.6 x 10-15 |
10.8 | 16.7 | 4.0 x 10-14 |
11.9 | 11.9 | 1.6 x 10-14 |
12.5 | 12.2 | 1.8 x 10-14 |
12.8 | 9.3 | 1.1 x 10-14 |
13.2 | 9.5 | 1.5 x 10-14 |
14.1 | 18.7 | 2.8 x 10-14 |
14.9 | 2.3 | 6.3 x 10-15 |
15.0 | 2.4 | 4.8 x 10-15 |
16.4 | 14.5 | 1.5 x 10-14 |
16.7 | 20.5 | 2.0 x 10-14 |
17.0 | 11.2 | 1.1 x 10-14 |
17.9 | 15.6 | 1.3 x 10-14 |
19.2 | 12.1 | 1.0 x 10-14 |
20.1 | 3.0 | 3.5 x 10-15 |
22.9 | 3.3 | 3.1 x 10-15 |
Table 101
Interdiffusion Coefficient, DMnNiCu, for Cu-Ni-Mn Alloys at 1073K
Ni(at%) | Mn(at%) | D (m2/s) |
0.11 | 3.5 | -1.2 x 10-14 |
0.23 | 11.7 | -9.2 x 10-14 |
0.27 | 11.9 | -6.1 x 10-14 |
0.29 | 6.9 | -4.2 x 10-14 |
0.43 | 7.2 | -2.3 x 10-15 |
1.5 | 3.2 | -7.7 x 10-15 |
2.5 | 15.7 | -5.5 x 10-14 |
2.6 | 15.8 | -7.8 x 10-14 |
2.9 | 6.7 | -1.2 x 10-14 |
4.1 | 7.5 | -1.2 x 10-14 |
4.3 | 4.7 | -8.9 x 10-15 |
5.1 | 0.98 | -9.6 x 10-16 |
5.2 | 0.99 | -1.0 x 10-15 |
5.2 | 12.7 | -2.3 x 10-14 |
5.6 | 13.1 | -1.9 x 10-14 |
7.2 | 6.4 | -5.7 x 10-15 |
8.9 | 10.5 | -7.9 x 10-15 |
9.0 | 26.7 | -4.3 x 10-14 |
9.2 | 7.5 | -5.7 x 10-15 |
9.2 | 23.8 | -3.8 x 10-14 |
9.3 | 1.6 | -1.1 x 10-15 |
10.7 | 1.8 | -8.0 x 10-16 |
10.8 | 16.7 | -2.2 x 10-14 |
11.9 | 11.9 | -6.1 x 10-15 |
12.5 | 12.2 | -7.3 x 10-15 |
12.8 | 9.3 | -4.2 x 10-15 |
13.2 | 9.5 | -6.2 x 10-15 |
14.1 | 18.7 | -1.4 x 10-14 |
14.9 | 2.3 | -9.2 x 10-16 |
15.0 | 2.4 | -6.3 x 10-16 |
continued
Table 101 (continued)
Interdiffusion Coefficient, DMnNiCu, for Cu-Ni-Mn Alloys at 1073K
Ni(at%) | Mn(at%) | D (m2/s) |
16.4 | 14.5 | -6.2 x 10-15 |
16.7 | 20.5 | -8.9 x 10-15 |
17.0 | 11.2 | -4.5 x 10-15 |
17.9 | 15.6 | -5.5 x 10-15 |
19.2 | 12.1 | -4.1 x 10-15 |
20.1 | 3.0 | -4.1 x 10-16 |
22.9 | 3.3 | -3.9 x 10-16 |
Table 102
Interdiffusion Coefficient, DNiMnCu, for Cu-Ni-Mn Alloys at 1073K
Ni(at%) | Mn(at%) | D (m2/s) | |
0.11 | 3.5 | -1.0 x 10-16 | |
0.23 | 11.7 | -5.0 x 10-16 | |
0.27 | 11.9 | -4.4 x 10-16 | |
0.29 | 6.9 | -6.7 x 10-16 | |
0.43 | 7.2 | -6.8 x 10-16 | |
1.5 | 3.2 | -2.0 x 10-15 | |
2.5 | 15.7 | -5.0 x 10-15 | |
2.6 | 15.8 | -5.8 x 10-15 | |
2.9 | 6.7 | -3.6 x 10-15 | |
4.1 | 7.5 | -4.5 x 10-15 | |
4.3 | 4.7 | -5.0 x 10-15 | |
5.1 | 0.98 | -4.9 x 10-15 | |
5.2 | 0.99 | -3.6 x 10-15 | |
5.2 | 12.7 | -4.1 x 10-15 | |
5.6 | 13.1 | -5.1 x 10-15 | |
7.2 | 6.4 | -5.7 x 10-15 | |
8.9 | 10.5 | -3.4 x 10-15 | |
9.0 | 26.7 | -1.0 x 10-14 | |
9.2 | 7.5 | -2.5 x 10-15 | |
continued
Table 102 (continued)
Interdiffusion Coefficient, DNiMnCu, for Cu-Ni-Mn Alloys at 1073K
Ni(at%) | Mn(at%) | D (m2/s) |
9.2 | 23.8 | -1.1 x 10-14 |
9.3 | 1.6 | -8.7 x 10-15 |
10.7 | 1.8 | -4.0 x 10-16 |
10.8 | 16.7 | -1.1 x 10-14 |
11.9 | 11.9 | -5.3 x 10-15 |
12.5 | 12.2 | -5.0 x 10-15 |
12.8 | 9.3 | -3.6 x 10-15 |
13.2 | 9.5 | -4.4 x 10-15 |
14.1 | 18.7 | -9.5 x 10-15 |
14.9 | 2.3 | -2.8 x 10-15 |
15.0 | 2.4 | -2.0 x 10-15 |
16.4 | 14.5 | -5.3 x 10-15 |
16.7 | 20.5 | -8.0 x 10-15 |
17.0 | 11.2 | -4.3 x 10-15 |
17.9 | 15.6 | -5.5 x 10-15 |
19.2 | 12.1 | -4.7 x 10-15 |
20.1 | 3.0 | -1.6 x 10-15 |
22.9 | 3.3 | -2.4 x 10-15 |
Table 103
Interdiffusion Coefficient, DNiNiCu, for Cu-Ni-Mn Alloys at 1073K
Ni(at%) | Mn(at%) | D (m2/s) |
0.11 | 3.5 | 1.5 x 10-15 |
0.23 | 11.7 | 3.3 x 10-15 |
0.27 | 11.9 | 2.9 x 10-15 |
0.29 | 6.9 | 2.7 x 10-15 |
0.43 | 7.2 | 2.5 x 10-15 |
1.5 | 3.2 | 2.1 x 10-15 |
2.5 | 15.7 | 6.9 x 10-15 |
2.6 | 15.8 | 7.7 x 10-15 |
continued
Table 103 (continued)
Interdiffusion Coefficient, DNiNiCu, for Cu-Ni-Mn Alloys at 1073K
Ni(at%) | Mn(at%) | D (m2/s) |
2.9 | 6.7 | 3.6 x 10-15 |
4.1 | 7.5 | 4.1 x 10-15 |
4.3 | 4.7 | 3.3 x 10-15 |
5.1 | 0.98 | 1.2 x 10-15 |
5.2 | 0.99 | 1.0 x 10-15 |
5.2 | 12.7 | 3.9 x 10-15 |
5.6 | 13.1 | 4.6 x 10-15 |
7.2 | 6.4 | 3.3 x 10-15 |
8.9 | 10.5 | 2.9 x 10-15 |
9.0 | 26.7 | 7.6 x 10-15 |
9.2 | 7.5 | 1.8 x 10-15 |
9.2 | 23.8 | 1.0 x 10-14 |
9.3 | 1.6 | 1.9 x 10-15 |
10.7 | 1.8 | 6.7 x 10-16 |
10.8 | 16.7 | 7.5 x 10-15 |
11.9 | 11.9 | 3.9 x 10-15 |
12.5 | 12.2 | 3.7 x 10-15 |
12.8 | 9.3 | 2.2 x 10-15 |
13.2 | 9.5 | 2.5 x 10-15 |
14.1 | 18.7 | 5.8 x 10-15 |
14.9 | 2.3 | 1.1 x 10-15 |
15.0 | 2.4 | 9.5 x 10-16 |
16.4 | 14.5 | 3.8 x 10-15 |
16.7 | 20.5 | 4.3 x 10-15 |
17.0 | 11.2 | 2.4 x 10-15 |
17.9 | 15.6 | 4.0 x 10-15 |
19.2 | 12.1 | 2.5 x 10-15 |
20.1 | 3.0 | 8.1 x 10-16 |
22.9 | 3.3 | 9.7 x 10-16 |
Table 104
Diffusion Parameters for the Cu-Si System
Si (at%) | Do (m2/s) | E (kJ/mol) |
0 | 1.9 x 10-5 | 188 |
2 | 2.1 x 10-5 | 184 |
4 | 2.8 x 10-5 | 181 |
6 | 3.4 x 10-5 | 177 |
8 | 3.4 x 10-5 | 172 |