SiGe - Silicon Germanium

Optical properties

      Remarks Referens
Dielectric constant (static) Si (x=0) 11.7 300 K Schaffler F. et al.(2001)
  Ge(x=1) 16.2 300 K  
  Si1-xGex 11.7 + 4.5x 300 K  

Infrared refractive index n(λ) Si1-xGex   n 3.42 + 0.37x + 0.22 x2   300K Schaffler F. et al.(2001)
  Si (x=0)   n = 3.42 300K see Si. Refractive index
      n = 3.38(1 + 3.9·10-5·T) 77K < T < 400 K  
  Ge(x=1)   n = 4.0 300K see Ge. Refractive index

Radiative recombination coefficient Si (x=0)   1.1 x 10-14 cm3 s-1 300 K see Si. Optical properties
  Ge(x=1)   6.4 x 10-14 cm3 s-1 300 K see Ge. Optical properties

Optical photon energy Si1-xGex   (63 - 8.7x) meV Si - Si, 300 K Schaffler F. et al.(2001)
      (35.+2.0x) meV Ge-Ge, 300 K  
    50 meV Si-Ge, 300 K
see also Si1-xGex. Optical phonon Raman signals
 
  Si (x=0)   63 meV 300 K see Si. Optical properties
  Ge(x=1)   37 meV 300 K see Ge. Optical properties
phonon wavenumbers:  RemarksReferens
Si  νLTO25')15.5 1012 HzT=300Ksee also Si. Phonon frequencies
 νTA(X3)4.5 1012 Hz  
 νLAO(X1)12.3 1012 Hz  
 νTO(X4 )13.9 1012 Hz  
 νTA (L3)3.45 1012 Hz  
 νLA(L2')11.3 1012 Hz  
 νLO(L1)12.6 1012 Hz  
 νTO(L3')14.7 1012 Hz  
 
GeνLTO25')9.02 1012 HzT=300KNillsson & Nelin (1972)
 νTA(X3)2.385 1012 Hz see also Ge. Phonon frequencies
 νLAO(X1)7.14 1012 Hz  
 νTO(X4 )8.17 1012 Hz  
 νTA (L3)1.87 1012 Hz  
 νLA(L2')6.63 1012 Hz  
 νLO(L1)7.27 1012 Hz  
 νTO(L3')8.55 1012 Hz  
Si. Dispersion curves for acoustic and optical phonons.
Dolling (1963) and Tubino et al. (1972)
Ge. Dispersion curves for acoustic and optical phonons.
Weber (1977)
For a wide composition range three optical phonon modes dominate the Raman spectra of Si1-xGex alloys. They are attributed to local vibrations of Si-Si, Si-Ge, and Ge-Ge atom pairs. Their relative intensities are roughly proportional to the abundance of the respective pairs-that is, (1 - x)2, 2x(l - x), and x2, respectively.
Si1-xGex. Optical phonon Raman signals associated with local Si-Si, Si-Ge and Ge-Ge modes vs. composition
Alonso & Winer (1989)


Si1-xGex (bulk). Refractive index n vs. energy range between 0.5 and 1.4 eV.
Refractive index n in the energy range between 0.5 and 1.4 eV
Humlicek (1995)
Si1-xGex (bulk alloys). Refractive index n vs. energy range between 1.5 and 5.5 eV.
Lines correspond (left to right) to composition values of x = 1 (Ge), 0.915, 0.831, 0.75, 0.635, 0.513, 0.389, 0.218, 0 (Si)
Humlicek et al. (1989)
Si1-xGex Reflectivity vs. photon energy in the energy range 0-13 eV
Reflectivity vs. photon energy in the energy range 0-13 eV
Schmidt (1968)
Si1-xGex (bulk alloys).The absorption coefficient α vs. energy range between 0.5 and 1.4 eV
with x varying by increments of 0.1 between Ge (x = 1) and Si (x = 0).
Vertical arrows mark the respective indirect band gaps
Humlicek (1995)
Si1-xGex The absorption coefficient vs. energy range between 1.5 and 5.5 eV for different compositions
Lines correspond (left to right) to composition values of x = 1 (Ge), 0.915, 0.831, 0.75, 0.635, 0.513, 0.389, 0.218, 0 (Si).
Humlicek et al. (1989)
Si1-xGex Free electron absorption vs. wavelength at different doping levels for n-Si (x = 0).
300 K. Electron concentrations :
    1 -- 1.4 x 1016 cm-3;
    2 -- 2.8 x 1016 cm-3;
    3 -- 1.7 x 1017 cm-3;
    4 -- 3.2 x 1017 cm-3;
    5 -- 6.1 x 1018 cm-3;
    6 -- 1.0 x 1019 cm-3.
Spitzer & Fan (1957)
Si1-xGex. Free hole absorption vs. wavelength at different doping levels for p-Si (x = 0)
300 K. Hole concentrations :
    1 -- 4.6 x 1017 cm-3;
    2 -- 1.4 x 1018 cm-3;
    3 -- 2.5 x 1018 cm-3;
    4 -- 1.68 x 1019 cm-3.
Hara & Nishi (1966)
Si1-xGex. Free electron absorption vs. wavelength at different doping levels for n-Ge (x = 1).
300 K. Electron concentrations :
    1 -- 8.0 x 1017 cm-3;
    2 -- 4.8 x 1018 cm-3;
    3 -- 1.35 x 1019 cm-3;
    4 -- 1.8 x 1019 cm-3;
    5 -- 3.6 x 1019 cm-3;
Fistul (1967)
Si1-xGex. Free hole absorption vs. wavelength at different doping levels for p-Ge (x = 1).
300 K. Hole concentrations :
    1 -- 7.3 x 1015 cm-3;
    2 -- 1.6 x 1016 cm-3;
    3 -- 6.0 x 1016 cm-3;
    4 -- 1.9 x 1017 cm-3;
    5 -- 1.2 x 1018 cm-3;
    6 -- 1.0 x 1019 cm-3.
Ukhanov (1966), Vasilyeva et al (1967)
The data on free carrier absorption for Si1-xGex alloys at 78 K and 300 K can be found in Braunstein (1963) (1963).