Normal Modes in a Periodic Monatomic Linear Chain
This Demonstration shows the normal modes in a monatomic periodic linear chain. You can vary the number of atoms, the wave vector in the first Brillouin zone, and the amplitude of the oscillations. For small , sound waves are produced. The stationary waves enable the Brillouin-zone boundaries to be mapped.
Snapshots: static atomic configuration for a wave vector in the (1) center, (2) general position, and (3) boundary of the first Brillouin zone