# Having trouble with Density of States

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1. Jun 18, 2015

### Dr Librarian

I need to find the total number of states in a 1D monatomic lattice using the density of state equation g(ω), and I am having a hard time doing so. I'm fairly certain all I need to do ins integrate it, but this is proving to be a greater challenge than I thought it would. g(ω)=2L/(πaωm)*sec(qa/2). I'm almost positive if I integrate from 0 to ωm in terms of q, I will find the solution. However, every time I try, I get some crazy answer. what am I doing wrong?

2. Jun 23, 2015