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Expanding atomic displacements in terms of all lattice wave modes?

  1. Oct 31, 2012 #1
    I find the expression:

    "In general, one can expand the atomic displacements in terms of all the lattice wave
    modes (resembles a Fourier series expansion)"

    at:
    https://courses.cit.cornell.edu/ece407/Lectures/handout17.pdf

    But I have not found the expression in any other literature. (In fact, some literature, like P.Y. Yu and M. Cardona: Fundamentals of Semiconductors, a long wavelength limitation seems to have been imposed.) Is the above-cited expression correct (in 3D lattice)?

    Thank for your assistance.
     
    Last edited: Oct 31, 2012
  2. jcsd
  3. Oct 31, 2012 #2

    DrDu

    User Avatar
    Science Advisor

    Yes, that's true. Should be explained in any book on solid state theory.
     
  4. Oct 31, 2012 #3
    Have you ever done normal mode decomposition of a system of coupled oscillators? This is the same, except that the system is infinite, but periodic boundary conditions are imposed.
     
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