Reciprocal lattice for FCC and diffraction peaks

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Homework Statement:

For a FCC crystal describe all the reciprocal lattice points corresponding to the first two diffraction peaks.

Relevant Equations:

$$F_{\left(hkl\right)=\sum f\:e^{2\pi i\left(h\hat{x}+k\hat{y}+l\hat{z}\right)}}$$
My issue is more with the steps to approach rather than the calculations. I was just wondering if someone could confirm my approach to be correct.

As it asking for the reciprocal lattice of an FCC I assume this would mean I need to use the points on the BCC to calculate the geometrical structure factor and then from this a use the first two diffraction planes for a FCC which are {111} and {200} into the geometrical structure factor?

Also not really sure if this is classed as a intro to physics or advance physics question. If it is advance how could I move to that forum?
 

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