Multi-layers were investigated by using an in situ low-angle X-ray diffraction technique (table 1). The temperature-dependent interdiffusivities could be described by Arrhenius relationships (figure 1). It was concluded that the extremely small values of the pre-exponential factor (table 2), and a clear correlation between the pre-exponential factor and the activation energy for interdiffusion suggested that a collective jump mechanism which involved between 8 and 15 atoms governed interdiffusion in the monolayers.
Collective Interdiffusion in Compositionally Modulated Multilayers. W.H.Wang, H.Y.Bai, W.K.Wang: Journal of Applied Physics, 1999, 86[8], 4262-6
Table 1
Interdiffusivity between Monolayers at 458K
System | D (m2/s) |
Ag/Bi | 2.0 x 10-23 |
Ag/Si | 8.22 x 10-24 |
Fe/Mo | 4.1 x 10-25 |
Fe/Ti | 1.75 x 10-24 |
Mo/Si | 5.2 x 10-25 |
Nb-Si | 2.68 x 10-24 |
Ni/Si | 4.12 x 10-24 |
Table 2
Arrhenius Parameters for Interdiffusion between Monolayers
System | Do (m2/s) | E (eV) |
Ag/Bi | 4.30 x 10-21 | 0.21 |
Ag/Si | 2.02 x 10-20 | 0.24 |
Fe/Mo | 2.13 x 10-21 | 0.33 |
Fe/Ti | l.50 x 10-22 | 0.29 |
Mo/Si | 6.20 x 10-21 | 0.37 |
Nb/Si | 2.20 x 10-18 | 0.55 |
Ni/Si | 2.13 x 10-17 | 0.69 |
Figure 1
Interdiffusivity of Monolayers