PHY.K02UF Molecular and Solid State Physics

Phonon dispersion of an fcc crystal

The code from the previous page can be put in a loop to calculate the dispersion relation as a function of $k$.

$\sqrt{\frac{M}{C}}\omega$

$\Gamma\hspace{3.8cm} X \hspace{1.5cm} W \hspace{1.2cm} K \hspace{3.8cm} \Gamma \hspace{3.2cm} L$



 $\Gamma: 0,0,0$ 

$X: \frac{2\pi}{a},0,0$

$L: \frac{\pi}{a},\frac{\pi}{a},\frac{\pi}{a}$

$W: \frac{2\pi}{a},\frac{\pi}{a},0$

$K: \frac{3\pi}{2a},\frac{3\pi}{2a},0$