Programming the Nearly Free Electron Model Band Diagram for BCC and FC

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Hello Physics Forums.

Our professor asked us to do a program on constructing the band diagram of BCC and FCC for nearly free electron approximation. what is the best algorithm i can use? i can program a bit, it's just the step-by-step method i am not sure of. thank you
 

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UltrafastPED
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The calculations are described here:
http://www.itp.phys.ethz.ch/education/fs13/sst/Lecture-Notes.pdf [Broken]
 
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