The diffusion kinetics were studied, at temperatures of between 220 and 270K (table 33), by analyzing the photo-induced dissociation of an etchant-generated H-C or D-C complex. Under suitably strong illumination, the annihilation rate of the complex was proportional to the P density. This indicated that the rate-determining step was the diffusion of H or D to P atoms. By invoking diffusion-controlled reaction theory, it was deduced that the diffusion behaviors were described by:
D: D(cm2/s) = 0.005 exp[-0.49(eV)/kT]
H: D(cm2/s) = 0.07 exp[-0.54(eV)/kT]
Y.Kamiura, M.Yoneta, F.Hashimoto: Applied Physics Letters, 1991, 59[24], 3165-7
Table 33
Diffusivity of D and H in Si
Diffusant | T (K) | D (cm2/s) |
D | 270 | 3.7 x 10-12 |
D | 265 | 2.2 x 10-12 |
D | 260 | 1.6 x 10-12 |
D | 255 | 1.2 x 10-12 |
D | 250 | 6.6 x 10-13 |
D | 245 | 4.7 x 10-13 |
D | 240 | 1.9 x 10-13 |
D | 235 | 1.8 x 10-13 |
D | 230 | 8.2 x 10-14 |
D | 225 | 5.4 x 10-14 |
H | 270 | 7.6 x 10-12 |
H | 265 | 5.7 x 10-12 |
H | 260 | 2.7 x 10-12 |
H | 255 | 1.9 x 10-12 |
H | 245 | 6.0 x 10-13 |
H | 240 | 3.7 x 10-13 |
H | 235 | 2.8 x 10-13 |
H | 230 | 1.2 x 10-13 |
H | 220 | 4.0 x 10-14 |