Einstein's heat capacity equation

[Brito]

Homework Statement

How can I show how Einstein's equation for the heat capacity of solids behaves in the high temperature regime?

Relevant Equations

$$C = 3kN_A \left( \frac{h\nu}{kT} \right)^2 \left( \frac{\exp\left(\frac{h\nu}{kT}\right)}{\left( \exp\left(\frac{h\nu}{kT}\right) - 1 \right)^2} \right)$$

I tried to use Taylor expansion to see what would happen to the equation, but I kept having problems with the term (hν/kT)²

Have a nice day, everyone!

 

[Steve4Physics]

Hi @Brito. Welcome to PF.

Take a look at the forum rules (recommended) and you will see that you first need to show some evidence of your own effort before we try to help. For example, show us your Taylor expansion.