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