In the figure below, Intrinsic carrier concentration is given as a function of temperature for Ge and Si. By using the data in this figure calculate the band gap of these materials. For both materials find the energy difference between the Fermi Energy Level and the conductivity band.

Question

Materials Science and Engineering An Introduction by William D. Callister Figure 18.16

Answer 1

My edition shows in that figure ln charge carrier vs temp. You can relate the slope of those lines to energy. Choose the most vertical slopes at low temps as energy valence band, and the upper temps as slope of conduction. the halfway point is Fermi energy.

I haven't looked at this since EE in the 1960s, since then I became a systems engineer, and done my thing with that. The text I looked at is very dated (11 years), so the figures may be different.