- #1
iampaul
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- TL;DR Summary
- I tried to follow the derivation, but I got a different result
I was looking for a derivation for the density of states and I came across this page: https://ecee.colorado.edu/~bart/book/book/chapter2/ch2_4.htm
I followed the derivation and came up with:
g(E) = (1/L3)dN/dE
= (1/L3)L3/∏2*k2 * dk/dE
=K2/∏2 * dk/dE
=K2/∏2 *
g(E) = (∏√2/h3)*m3/2*√2but the book gives:
g(E) = (8∏√2/h3)*m3/2*√2
where did the extra 8 come from?
I followed the derivation and came up with:
g(E) = (1/L3)dN/dE
= (1/L3)L3/∏2*k2 * dk/dE
=K2/∏2 * dk/dE
=K2/∏2 *
g(E) = (∏√2/h3)*m3/2*√2but the book gives:
g(E) = (8∏√2/h3)*m3/2*√2
where did the extra 8 come from?