Einstein's heat capacity equation

Thread starter Brito
Start date Feb 19, 2025
Tags

equation Heat Thermodynamics

Feb 19, 2025

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!

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Feb 19, 2025

Steve4Physics

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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.

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