For a free electron gas the procedure for determining the density of states is as follows.(adsbygoogle = window.adsbygoogle || []).push({});

Apply periodic boundary conditions to the free electron waves over a cube of side L. This gives us that there is one state per volume 2[itex]\pi[/itex]/L^{3}=2[itex]\pi[/itex]/V

And from there we can find the number of states at a given energy E by multiplying by the volume of a sphere at E in k space.

One big problem with this is however: Why do we assume that material is necessarily a cube? What if we worked with a ball of metal?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Density of states free electron gas

**Physics Forums | Science Articles, Homework Help, Discussion**