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After much trial and tribulation, I am finally able to describe how we calculate the electron concentration of an intrinsic semiconductor under equilibrium conditions using the density of states, effective mass and E/k diagrams, fermi-dirac statistics, and some basic calculus (and yes, technically it should be a sum because quantum states are discrete, but the error incurred is so small as to be negligible).

This is part of my series on semiconductor physics (often called Electronics 1 at university). This is based on the book Semiconductor Physics and Devices by Donald Neamen, as well as the EECS 170A/174 courses taught at UC Irvine.

Hope you found this video helpful, please post in the comments below anything I can do to improve future videos, or suggestions you have for future videos.