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Homework Help: Finding Hexagonal Crystalline Directions

  1. Jan 19, 2013 #1
    1. The problem statement, all variables and given/known data

    What are the Miller-Bravais indices for the direction represented by the vector that has been drawn within a unit cell?


    2. Relevant equations

    u = 1/3(2u' - v')
    v = 1/3(2v' - u')
    t = -(u+v)
    w = w'

    Equations from this book: Materials Science & Engineering an Introduction by Callister, 8th Edition

    3. The attempt at a solution

    From the image, I got that the values of a1, a2, and c are respectively: 1/2, 1/2, 1/2. Then multiplying by 2 to get integer values, I have u'=1, v'=1, and w'=1. Working everything out with the given equations, I from that the direction should be [11-23] but my answer turned out to be wrong.

    I'm not sure if I'm interpreting the image incorrectly or if I'm not using the equations correctly.
  2. jcsd
  3. Jan 22, 2013 #2
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