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1) For silicon the conduction band minimum is located at 0.49 Ź¹ in the [100] direction (X is the Brillouin zone at HOO), while the valence band maximum is located at the I point (k = 0). a) What is the wavelength of photons needed to supply the required momentum to excite an electron from the I point to the conduction band minimum? b) What is the wavelength of photons needed to supply the required energy to excite an electron from the I point to the conduction band minimum? c) What limits optical absorption in silicon at photon energies near the band gap? 6 eV L3 Γ Si 4 Tis T15 N 125 -2- -4 -6 L'3 -8 -10 G L Γ -12 A Γ X U,K Σ Γ
Transcribed Image Text:1) For silicon the conduction band minimum is located at 0.49 Ź¹ in the [100] direction (X is the Brillouin zone at HOO), while the valence band maximum is located at the I point (k = 0). a) What is the wavelength of photons needed to supply the required momentum to excite an electron from the I point to the conduction band minimum? b) What is the wavelength of photons needed to supply the required energy to excite an electron from the I point to the conduction band minimum? c) What limits optical absorption in silicon at photon energies near the band gap? 6 eV L3 Γ Si 4 Tis T15 N 125 -2- -4 -6 L'3 -8 -10 G L Γ -12 A Γ X U,K Σ Γ
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