Finding the Electron Concentration in a Semiconductor

If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. 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