2.5 a) Calculate the five lowest "free electron" bands along the 4-axis in the Brillouin zone for the simple cubic lattice (analogous to Fig. 2.35). Calculate the associated eigenfunctions. b) For bands which are degenerate along the 4-axis (or at I or at X), construct linear combinations of the wave functions in such a way that the new func-

2.5 a) Calculate the five lowest "free electron" bands along the 4-axis in the Brillouin zone for the simple cubic lattice (analogous to Fig. 2.35). Calculate the associated eigenfunctions. b) For bands which are degenerate along the 4-axis (or at I or at X), construct linear combinations of the wave functions in such a way that the new func-

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter13: Introduction To Symmetry In Quantum Mechanics

Section: Chapter Questions

Problem 13.21E

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