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Phonon eigenvectors rotation

  1. Apr 24, 2013 #1
    Hi, can someone help me about rotating phonon eigenvectors?
    Say I have a primitive cell with 3 atoms, so for each point in reciprocal space, there are 9 eigen frequency and eigenvectors. Each eigenvector is a 9-dimensional complex vector.

    I calculated eigenvectors from a transverse branch for two points in reciprocal space say 0.5ax+0.5ay+0.0az and 0.7ax+0.7ay+0.7az from a software.

    However, due to the degeneracy nature of transverse modes, the two eigenvectors are not parallel to each other. (longitudinal modes are) So I am wondering how can I apply a rotation to one vector to make it parallel with the other?
  2. jcsd
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