Problem: Two patterns of packing two different spheres are shown here.Determine whether the lattice vectors are of the same length or of different lengths for the structure (i).

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Two patterns of packing two different spheres are shown here.

(i) A 5 by 5 grid of spheres, with alternating rows alternating between A and B spheres. Adjacent rows are all B spheres. (ii) Rows of six spheres are all type A and alternate with rows of five spheres that are all type B.

Determine whether the lattice vectors are of the same length or of different lengths for the structure (i).

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