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Homework Help: Help with Bravais lattice

  1. Mar 26, 2009 #1
    I have three primitive vectors a1,a2,a3 for the body-centered cubic (bcc) Bravais can be chosen as


    or, for instance, as


    where x,y,z are unit vectors.

    Now I should show that any vector of the form

    where n1,n2,n3 are integers

    can be presented as

    where m1,m2,m3 are integers

    Do anyone have an idea how I can do this?
    Does it help me if I construct reciprocal lattice?

    Mythbusters - "Well, here's your problem"
  2. jcsd
  3. Mar 26, 2009 #2


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    Hi Mythbusters!

    dunno wot a reciprockle lattice is :confused:

    but all you need to do is to express each a as a combination of bs :smile:

    Hint: to get you started, what is b1 + b2 + b3 ? :wink:
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