An in situ low-angle X-ray diffraction technique was used to investigate interdiffusion in various metal/amorphous-Si nm-scale compositionally modulated multi-layers. The interdiffusivities were deduced by monitoring the decay of the first-order modulation peak as a function of annealing time. Activation enthalpies and pre-exponential factors for interdiffusion in the multi-layers were determined (table 11). The relationship between the atomic-size difference and interdiffusion (table 12) was investigated. The results suggested that a collective atomic-jump mechanism governed interdiffusion in the multi-layers; perhaps involving 8 to 15 atoms moving between extended non-equilibrium defects by thermal activation.
Interdiffusion in nanometer-scale multilayers investigated by in situ low-angle X-ray diffraction W.H.Wang, H.Y.Bai, M.Zhang, J.H.Zhao, X.Y.Zhang, W.K.Wang: Physical Review B, 1999, 59[16], 10811-22
Table 11
Parameters for Interdiffusion in Multi-Layers
System | E (eV) | Do (m2/s) |
Mo/Si | 0.37 | 6.20 x 10-21 |
Ni/Si | 0.69 | 2.13 x 10-17 |
Ag/Si | 0.24 | 2.02 x 10-20 |
Nb/Si | 0.55 | 2.20 x 10-18 |
Table 12
Bulk Interdiffusivities in Multi-Layers as a Function of Radius Difference
System | Δr/r (%) | D (m2/s) |
Mo/Si | 5.2 | 5.20 x 10-25 |
Ni/Si | 6.2 | 4.12 x 10-24 |
Ag/Si | 8.7 | 8.22 x 10-24 |
Nb/Si | 10.1 | 2.68 x 10-24 |