Einstein's heat capacity equation

Thread starter Brito
Start date Feb 19, 2025
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equation Heat Thermodynamics

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The discussion centers on the challenges faced when applying Taylor expansion to Einstein's heat capacity equation, specifically regarding the term (hν/kT)². A user encountered difficulties and sought assistance from the forum. The response emphasizes the importance of demonstrating personal effort before receiving help, suggesting that the user should share their Taylor expansion attempt. This approach encourages collaborative problem-solving while adhering to forum guidelines. Engaging with the community effectively can lead to better understanding and resolution of complex equations.

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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