- #1
Helpless guy
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Homework Statement
Given this image http://postimg.org/image/m9dyiqwy3/ find the lattice parametre of the reciprocal lattice and the coordinates of the point x.
Homework Equations
a*[/B]=2π(b×c)/(a⋅b×c)
b*=2π(c×a)/(b⋅c×a)
c*=2π(a×b)/(c⋅a×b)
Which are the vectors of the reciprocal lattice
a is the lattice parametre
3. The Attempt at a Solution
Since I am studyng a fcc structure, my vectors a,b,c are a=(a/2)(j+k), b=(a/2)(i+k), c=(a/2)(i+j)
and the reciprocal's are a*=(-i+ j+ k), b*=(i -j + k), c*=(i+ j -k).
This is as far as I can get by myself: My teacher showed that the volume of te reciprocal space is the same as the original, but multiplied by a factor of (4π/a). I know there has to be something which will give me the key to find a*; but I can`t find it myself.
Any help is appreciated.
Thanks.