计算依据
\[\begin{array} C_{V}&=9 N k_B\left(\frac{k_B T}{\hbar \omega_{D}}\right)^{3} \int_{0}^{\frac{\hbar \omega_{D}}{k_B T}} \frac{\xi^{4} e^{\xi}}{\left(e^{\xi}-1\right)^{2}} d \xi\\ &=9 R \left(\frac{T}{\Theta_D}\right)^{3} \int_{0}^{\frac{\Theta_D}{T}} \frac{\xi^{4} e^{\xi}}{\left(e^{\xi}-1\right)^{2}} d \xi \end{array}\]常数包括:
$k_B = 1.380649\times 10^{-23} J/K$
$\hbar = 1.05457266\times 10^{-34}J·s$
计算器
$C_{V}\left(\frac{\Theta_D}{T}\right)=$$N/A$
| $\frac{\Theta_D}{T}=$ |
