General Properties
The following table summarizes many of the basic physical properties of Silicon, Germanium, and Silicon Germanium at different concentrations. The concentrations are given in the form of Si1-xGex where x represents the percent composition of Germanium.
Properties |
Ge |
Si .25Ge.75 |
Si .5Ge.5 |
Si .75Ge.25 |
Si |
Atoms/cm 3 |
4.42 x 10 22Ge |
*4.415 x 10 22 |
*4.61 x 10 22 |
*4.805 x 10 22 |
5.0 x 10 22Si |
Atomic weight |
72.60 Ge |
*61.4725 |
*50.345 |
*39.2175 |
28.09 Si |
Breakdown field (V/cm) |
~10 5Ge |
*1.5 x 10 5 |
*2 x 10 5 |
*2.5 x 10 5 |
~3 x 10 5Si |
Crystal Structure |
Diamond |
Diamond |
Diamond |
Diamond |
Diamond |
Density (g/cm 3) |
5.3267 Ge |
*4.577 |
*3.827 |
*3.078 |
2.328 Si |
Dielectric constant |
16.0 Ge |
*14.975 |
*13.95 |
*12.925 |
11.9 Si |
Effective density of States in conduction band, N c (cm-3) |
1.04 x 10 19Ge |
2.8 x 10 19Si | |||
Effective density of States in valence band, N v (cm-3) |
6.0 x 10 18Ge |
1.04 x 10 19Si | |||
Effective Mass, m*/ m0Electrons Holes |
m *l= 1.64m *t= 0.082m *l h= 0.044m *h h= 0.28Ge |
m *l= 0.98m *t= 0.19m *l h= 0.16m *h h= 0.49Si | |||
Electron affinity |
4.0 |
*4.0125 |
*4.025 |
*4.0375 |
4.05 |
Properties |
Ge |
Si .25Ge.75 |
Si .5Ge.5 |
Si .75Ge.25 |
Si |
Minimum Indirect Energy Gap (eV) at 300K |
0.66 Ge |
***0.804 |
***0.945 |
***1.05 |
1.12 Si |
Minimum Direct Energy Gap (eV) |
.7 Ge |
1.6 |
2.5 |
3.1 |
3.4 Si |
Intrinsic carrier concentration (cm -3) |
2.4 x 10 13Ge |
*1.8 x 10 13 |
*1.2 x 10 13 |
*0.6 x 10 13 |
1.45 x 10 10Si |
Intrinsic Debye length ( μm) |
0.68 Ge |
*6.51 |
*12.34 |
*18.17 |
24 Si |
Intrinsic resistivity ( Ω-cm) |
47 Ge |
*.575 x 10 5 |
*1.15 x 10 5 |
*1.725 x 10 5 |
2.3 x 10 5Si |
Lattice Constant (A) |
***5.6575 Ge |
***5.5960 |
***5.5373 |
***5.4825 |
***5.4310 Si |
Linear coefficient of thermal expansion, Δ L/LΔT (°C-1) |
5.8 x 10 -6Ge |
*5.0 x 10 -6 |
*4.2 x 10 -6 |
*3.4 x 10 -6 |
2.6 x 10 -6Si |
Melting point (°C) |
937 Ge |
*1056.5 |
*1176 |
*1295.5 |
1415 Si |
Minority carrier lifetime (s) |
10 -3Ge |
*1.375 x 10 -3 |
*1.75 x 10 -3 |
*2.125 x 10 -3 |
2.5 x 10 -3Si |
Mobility (drift) (cm 2/V-s) |
3900 (electron)1900 (hole)Ge |
*3300 (electron)*1537.5 (hole) |
*7700 (electron)*1175 (hole) |
*2100 (electron)*812.5 (hole) |
1500 (electron)450 (hole)Si |
Optical – phonon energy (eV) |
0.037 Ge |
0.063 Si | |||
Phonon mean free path λ 0(Å) |
105 Ge |
76 (electron) 55 (hole) Si | |||
Specific heat (J/g-°C) |
0.31 Ge |
*.4075 |
*.505 |
*.6025 |
0.7 Si |
Thermal conductivity at 300 K (W/cm-°C) |
0.6 Ge |
**.11 |
**.083 |
**.085 |
1.5 Si |
Thermal diffusivity (cm 2/s) |
0.36 Ge |
*0.495 |
*.63 |
*.765 |
0.9 Si |
Vapor pressure (Pa) |
1 at 1330°C 10 -6 at 760°CGe |
1 at *1410°C 10 -6 at *795 |
1 at *1490°C 10 -6 at *830°C |
1 at *1570°C 10 -6 at *865°C |
1 at 1650°C 10 -6 at 900°CSi |