The diffusion was studied by using the spreading resistance technique under intrinsic conditions, where the dopant concentrations were not allowed to exceed the intrinsic carrier concentration in Si at any diffusion temperature. The experiments were conducted in H2 or Ar atmospheres, and the matrix used was float-zone, epitaxial and O-doped (111) material. Under intrinsic conditions, the concentration profiles exhibited Fickian behavior under all surface and bulk concentration conditions. It was found that, at 1130 to 1405C, the intrinsic diffusivity could be described by:
D (cm2/s) = 2.1 x 10-3 exp[-2.85(eV)/kT]
R.N.Ghoshtagore: Physical Review B, 1971, 3[2], 389-96
The best linear fits to the solute diffusion data ([124] to [129], [133] to [144], [146] to [176], [188] to [192], [196] to [211], [215] to [223], [234] to [242], [252] to [283], [292] to [298], [306] to [314]) yield:
Al: Ln[Do] = 0.45E – 32.8 (R2 = 0.81); As: Ln[Do] = 0.29E – 23.2 (R2 = 0.87);
Au: Ln[Do] = 0.16E – 12.4 (R2 = 0.16); B: Ln[Do] = 0.29E – 22.6 (R2 = 0.79);
Cu: Ln[Do] = 0.22E (R2 = 0.86); Fe: Ln[Do] = 0.62E – 15.8 (R2 = 0.53);
Ga: Ln[Do] = 0.20E - 16.9 (R2 = 0.78); Ge: Ln[Do] = 0.29E – 23.2.8 (R2 = 0.98);
H: Ln[Do] = 0.17E - 9.9 (R2 = 0.07); Li: Ln[Do] = 0.25E – 9.6 (R2 = 0.48);
Ni: Ln[Do] = 0.29E - 19.4 (R2 = 0.66); O: Ln[Do] = 0.34E – 21.6 (R2 = 0.95);
P: Ln[Do] = 0.35E - 27 (R2 = 0.94); Sb: Ln[Do] = 0.35E – 29.3 (R2 = 0.96);
Si: Ln[Do] = 0.33E - 29 (R2 = 0.86)