The diffusion of P from a POCl3 source into (111)-oriented n-type single crystals was studied using sectioning by anodic oxidation, and 4-point resistivity techniques. The concentration profiles were fitted to a solution of Fick’s equation involving a moving boundary which separated into two distinct phases. It was concluded that the surface region constituted a different phase to the remainder of the diffused layer. For the short diffusion times used, the phase boundary reaction was the rate-limiting process and the phase boundary moved at an almost constant rate. In the region beyond the phase boundary, the transport of P was controlled by two diffusing species, characterized by two appreciably different diffusion coefficients. At 900C, the coefficient for fast diffusion was 5.7 x 1014cm2/s, and that for slow diffusion was 2.7 x 10-15cm2/s. The slow-diffusing component was present mainly in the transition region between the phase boundary and the fast-diffusion dominated region. The fast-diffusing component exhibited a maximum concentration at the phase boundary. The diffusivity between 820 and 1100C in the two cases could be described by:
fast: D(cm2/s) = 2.49 x 10-5exp[-2.0(eV)/kT]
slow: D(cm2/s) = 4.93 x 101exp[-3.77(eV)/kT]
As the diffusion temperature was increased, the diffusion constants for the slow and fast diffusion approached each other. At 1100C, the diffusion profile could be represented by a single diffusion constant.
J.C.C.Tsai: Proceedings of the IEEE, 1969, 57[9], 1499-506
Table 81
Diffusion of P
(Phosphine in nitrogen source)
Temperature (C) | Surface Concentration (/cm3) | D (cm2/s) |
850 | 7.0 x 1020 | 6.20 x 10-14 |
950 | 7.7 x 1020 | 7.70 x 10-14 |
950 | 7.0 x 1020 | 9.00 x 10-14 |
950 | 7.6 x 1020 | 1.00 x 10-13 |
1050 | 8.2 x 1020 | 1.24 x 10-13 |
1050 | 1.0 x 1021 | 2.36 x 10-13 |
1050 | 1.0 x 1021 | 3.00 x 10-13 |
1050 | 1.0 x 1021 | 3.60 x 10-13 |
1050 | 8.4 x 1020 | 3.90 x 10-13 |
1100 | 1.0 x 1021 | 6.70 x 10-13 |
1100 | 1.0 x 1021 | 6.30 x 10-13 |
1100 | 1.0 x 1021 | 6.10 x 10-13 |
1150 | 1.0 x 1021 | 1.20 x 10-12 |
1150 | 1.0 x 1021 | 1.00 x 10-12 |