PHYS2006: Waves in One-dimensional Crystals

Here we have an infinite line of masses and springs, with all masses identical. The image shows that a mode with wavevector k = Pi/6a and one with k = Pi/6a + 2 Pi/a give exactly the same displacements to the masses (indicated by the red dots).

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Created: 13 May 1999
Last updated: 8 Oct 2004