Physics Help Forum unit translation vectors, bcc structure

 Atomic and Solid State Physics Atomic and Solid State Physics Help Forum

 Jan 14th 2011, 07:14 AM #1 Junior Member   Join Date: Apr 2010 Posts: 3 unit translation vectors, bcc structure 1. The problem statement, all variables and given/known data Can someone please try to help me with this. I have a bcc structure and the question is ''Clearly indicate the unit translation vectors and state their value in Å. I have attached the sketch : http://img440.imageshack.us/img440/4879/picture3lh.jpg are those t1,t2,t3 translation vectors? I know the cell parameters are:$\displaystyle a=b=c=31652\AA$ Are these correct values of t1,t2,t3 then? $\displaystyle t_{1}=(-\frac{a}{2},\frac{a}{2},\frac{a}{2})=(-15826,15826,15826)\AA ?$ and similarly the rest? And one question more. We need to calculate the volume of the conventional unit cell and volume of the primitive unit cell, is this correct? $\displaystyle V_{conv}=a^{3}=3171\AA^{3}$ $\displaystyle V_{primitive}=\frac{V_{conv}}{2}}=1585.5\AA^{3}$ Is the plane which has the highest degree of compaction (101)?? and the deree of compaction$\displaystyle \frac{\sqrt{2}}{a^2}}$??? Does latex work on this forum at all?

 Tags bcc, structure, translation, unit, vectors

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