If we know the reciprocal space basis of a BCC lattice [tex]b_1=\frac{2\pi}{a}(\vec{x}+\vec{y}),b_2=\frac{2\pi}{a}(\vec{z}+\vec{y}),b_3=\frac{2\pi}{a}(\vec{x}+\vec{z})[/tex] how do we go about finding the shortest reciprocal lattice vector and its corresponding miller index?(adsbygoogle = window.adsbygoogle || []).push({});

To me all the constants in from of all reciprocal vectors are the same so the corresponding miller index should be {111} but it is apparently supposed to be ({110}). I conceptually can't make sense of this and any help would be appreciated.

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# Using Reciprocal to Determine Miller Indices

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