There are two ways to proof Bragg's law, one of them is in wikipedia on this link

http://en.wikipedia.org/wiki/Bragg's_law

while the other one which is much easier can be written like that

**AB =**

**2**

**BC = n**

**λ**

**sin**

**θ = BC/d**

**BC****=**

**d sin****θ****2BC = 2d sin**

**θ = n**

**λ**

Hmm, I think you mean 2AB = 2BC here but I see what you mean. It's a nice and simple proof.

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