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Here's my problem:

Knowing that for reciprocal lattice vectors K and real space lattice vectors R:

and using the Kronecker delta:

I need to prove b_{1}, b_{1}, b_{3}as shown http://www.doitpoms.ac.uk/tlplib/brillouin_zones/reciprocal.php" [Broken]:

I understand that for the first equation above, the exponential needs to equal zero for the expression to equal 1. So I have K.R=0 as one piece of information, but I don't see how this leads me to the expressions for b_{1}, b_{1}, b_{3}which I'm trying to find.

I'm assuming this is part of the proof:

But how do I use this and where does the 2*pi come from?

Thanks all!

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# Reciprocal Lattice Proof

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