The diffusion coefficient D in many semiconductors may be expressed by an Arrhenius-type relation
D = D0 exp(–Q/kT)
where D0 is a frequency factor, Q is the activation energy for diffusion, k is the Boltzmann constant, and T is the absolute temperature (K). In Tables 1 to 8, either D or the combination D0 and Q are given for various diffusants in common semiconductors. Note in the tables, the temeprature range is given in °C.
Table No. | Semiconductors covered |
1 |
Silicon-based |
2 | Germanium-based |
3 | Gallium-based |
4 | Indium-based |
5 | Cadmium-based |
6 | Zinc-based |
7 | Aluminum-based |
8 | Mercury-based and lead-based |
Abbreviations used in the tables are as follows.
Abbreviation | Definition |
AES | Auger electron spectroscopy |
C-V | Capacitance-voltage profiling |
CL | Cathode luminescence |
D(c) | Concentration dependent diffusion coefficient |
Dmax | Maximum diffusion coefficient |
DLTS | Deep-level transient spectroscopy |
EPMA | Electron probe microanalysis |
FP | Flame photometry |
SEM | Scanning electron microscopy |
SR | Spreading resistance |
SIMS | Secondary ion mass spectrometry |
TEM | Transmission electron microscopy |
XRD | X-ray diffraction |
XRF | X-ray fluorescence |
(f) | Fast diffusion component |
(i) | Interstitial diffusion component |
(s) | Slow diffusion component |
(∥) | Parallel to c direction |
(⊥) | Perpendicular to c direction |
Column definitions for Tables 1 to 8 are as follows.
Column heading | Definition |
Semiconductor | Chemical symbol for semiconductor |
Diffusant | Chemical symbol for diffusing species |
Temp. range | Temperature range for applicability of Arrhenius-type diffusion relation, in °C |
D | Diffusion coefficient, in cm2 s–1 |
D0 | Frequency factor, in cm2 s–1 |
Q | Activation energy, in eV |
Method | Measurement method; refer to abbreviation list above |
Ref. | Reference source of data |
Year | Year of publication of reference (when applicable) |
Semicond. | Diffusant | Temp. range/°C | D/cm2 s–1 | D0/cm2 s–1 | Q/eV | Method | Ref. | Year |
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Si | H | 120–1207 | 6 × 10–1 | 1.03 | Electrical and SIMS | 1 | ||
Si | Li | 25–1350 | 2.5 × 10–3 | 0.65 | Electrical | 2 | 1960 | |
Si | Na | 530–800 | 1.65 × 10–3 | 0.72 | Electrical and FP | 3 | 1967 | |
Si | K | 740–800 | 1.1 × 10–3 | 0.76 | Electrical and FP | |||
Si | Cu | 800–1100 | 4 × 10–2 | 1 | Radioactive | 4 | 1958 | |
Si | Cu | 300–700 | 4.7 × 10–3 | 0.43 (i) | Radioactive | 5 | 1964 | |
Si | Ag | 1100–1350 | 2 × 10–3 | 1.6 | Radioactive | 6 | 1961 | |
Si | Au | 700–1300 | 2.4 × 10–4 | 0.39 (i) | Radioactive | 7 | 1964 | |
Si | Au | 2.75 × 10–3 | 2.05 (s) | |||||
Si | Be | 1050 | ~ 10–7 | Electrical | 8 | 1970 | ||
Si | Ca | 1100 | ~ 6 × 10–14 | Electrical and SIMS | 1 | |||
Si | Zn | 980–1270 | 1 × 10–1 | 1.4 | Electrical | 9 | 1963 | |
Si | B | 1100–1250 | 2.46 | 3.59 | Electrical | 10 | 1972 | |
Si | B | 840–1250 | 2.4 × 101 | 3.87 | Electrical | 11 | 1981 | |
Si | B | 810-1050 | (6 ± 2) × 10–2 | 3.12 ± 0.04 | Electrical | 98 | 2003 | |
Si | Al | 1119–1390 | 1.38 | 3.41 | Electrical | 12 | 1971 | |
Si | Al | 1025–1175 | 1.8 | 3.2 | Electrical | 13 | 1978 | |
Si | Ga | 1143–1393 | 3.74 × 10–1 | 3.39 | Electrical | 12 | 1971 | |
Si | Ga | 900–1050 | 6 × 101 | 3.89 | Radioactive | 14 | 1971 |