# Heat Capacity / Debye Temperature

1. May 11, 2008

### UNSWnano

1. The problem statement, all variables and given/known data

We are looking at the molar heat capacity, Cv, of copper over temperatures from 1-300K
After plotting the numbers and looking at T from 1-15K, then fitting that to a curve. We have to find what the constants $$\beta$$ and $$\gamma$$ are in ...
Cv=$$\gamma$$T + $$\beta$$T$$_{3}$$

Where Cv= molar heat capacity
T = temperature
$$\gamma$$ and beta are constants.

Using CurveFit I found
$$\gamma$$ = 7.11E-04
$$\beta$$ = 4.78E-05

The question asks to find the limiting value of $$\Theta$$D which is the Debyne temperature.

It also asks what important information is contained in $$\gamma$$ (I think its electron concentration but wanted to confirm).

And what is the dominant contribution to Cv at low temperature (I would $$\beta$$ as it is obviously dominant).