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pset 4

# pset 4 - University of California Berkeley EE230 Solid...

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University of California, Berkeley EE230 - Solid State Electronics Prof. J. Bokor pset 4.fm PROBLEM SET 4 (Due Thursday, April 10, 2008) 1. Effective mass mayhem: a) There are 6 “ellipsoidal” conduction band minima in silicon. At each minimum, there is a two-fold symmetric transverse effective mass, , and a longitudinal effective mass, . Show that the acceleration, is always along the direction of the force, , and that the “mobility” mass is given by: b) Show that the effective mass to use in the density of states expression is: 2. The conduction band of germanium consists of <111> valleys at the extreme of the Brillouin zone, a “direct” <000> valley 0.15 eV above the conduction band minimum, and six <100> valleys 0.18 eV above the conduction band minimum. The longitudinal and transverse effective masses are: The valence band consists of a set of two isotropic bands (“light hole” and “heavy hole”), degenerate at k = 0, with effective masses m lh = 0.044m 0 , and m hh = 0.28m 0 . The band gap E g is 0.66 eV.

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pset 4 - University of California Berkeley EE230 Solid...

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