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Rhombohedral primitive cell on FCC

  1. Jan 9, 2010 #1
    How do you determine a plane or a point on a crystal lattice when translated to a rhomboidal primitive cell.
    For example, rhombohedral primitive cell for an FCC is defined as:
    a_1 = 1/2 a*(x+y);
    a_2=1/2*a(y+z);
    a_3=1/2*a(z+x);

    If we have a plane, for example the 111 plane on an FCC, how do we describe this for a rhombodial primitive cell?
    I have no clue how to do this, i tried finding a constant to multiple a_1,a_2 and a_3 for example to the normal vector on the 111 plane [1,1,1], but i got something i don't think is right.
    Could someone point me in the right direction, or a link to an explanation?
    thanks,
     
  2. jcsd
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