- 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) = (

= (

=

=

g(E) = (

but the book gives:

g(E) = (

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}*k^{2}*^{dk}/_{dE}=

^{K2}/_{∏2}*^{dk}/_{dE}=

^{K2}/_{∏2}*g(E) = (

^{∏√2}/_{h3})*m^{3/2}*√2but the book gives:

g(E) = (

^{8∏√2}/_{h3})*m^{3/2}*√2where did the extra 8 come from?