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