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Lattice Planes

  1. Feb 20, 2015 #1
    1. The problem statement, all variables and given/known data
    Prove that the lattice planes with the greatest densities of points are the {111} planes in a fcc bravis lattice and the {110} planes in a bcc bravis lattice.


    2. Relevant equations
    d/v=points per unit area where d is the spacing of planes and v is the unit volume.


    3. The attempt at a solution
    In the fcc case
    [tex] d=\frac{2\pi}{hb_1+kb_2+lb_3}\\
    b_1=\frac{2\pi}{a}(y-x+z)[/tex]
    Which is in terms of the reciprocal space. So we simply need to maximize this value. Does this immediately tell us it is in the {111} miller index because the reciprocal is given in terms of 3 coordinates?
     
  2. jcsd
  3. Feb 26, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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