Ben Cantrick (mackys) wrote,
Ben Cantrick
mackys

Electron Band Structure In Germanium, My Ass

Ah yes, college physics lab! Well do I remember it!!


Introduction

Electrons in germanium are confined to well-defined energy bands that are separated by "forbidden regions" of zero charge-carrier density. You can read about it yourself if you want to, although I don't recommend it. You'll have to wade through an obtuse, convoluted discussion about considering an arbitrary number of non-coupled harmonic-oscillator potentials and taking limits and so on. The upshot is that if you heat up a sample of germanium, electrons will jump from a non-conductive energy band to a conductive one, thereby creating a measurable change in resistivity. This relation between temperature and resistivity can be shown to be exponential in certain temperature regimes by waving your hands and chanting "to first order".


http://www.cs.wisc.edu/~kovar/hall.html
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