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1) Imagine that the plane (2 1 1) is given in the fcc lattice. How can I determine Miller's indices of that plane in the sc and in the bcc?

2) And after that, how can I find the density of lattice's points?

1) So far I took the vectors of the reciprocal space:

**a***,

**b***and

**c***and then I tried to compute the vector

**G**=n1

**a***+ n2

**b***+ n3

**c***

But then what?

2) The only thing that I know is that the density of lattice's points is proportional of the quantity 1/

**G**

Any help?