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Debye temperature for gold

  1. Jun 28, 2015 #1
    1. The problem statement, all variables and given/known data
    Calculate the Debye temperature for gold

    2. Relevant equations
    $$Θ_D = \hbar \frac{v_s}{k_b} \sqrt[3]{6π^2 \frac{N}{V}}$$
    Speed of sound in gold: $$v_s=3240 m/s$$

    3. The attempt at a solution
    I used the equation for ΘD and for the concentration I used the value for atom density that I calculated for gold 5.9*10^28m^-3. I also checked this atom density for gold on the internet and I found the same value. However, I got that the Debye temperature for gold is 375.52 K and a tabular value for gold is 165 K.

    Can someone please tell me where I made the mistake in my calculation and these formulas?
  2. jcsd
  3. Jun 28, 2015 #2


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    We can't tell you where you made a mistake in your calculations unless you post them. :frown:
  4. Jun 28, 2015 #3
    I posted all relevant values and constants. The calculation is very simple, I just typed all these constants in a calculator. I checked everything and I repeated this many times, but I got the same value. I thought that maybe I used the wrong formula or the wrong values for the speed of sound and N/V. Can someone please tell me if these parameters and formula are correct at all?
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