Miller Indices

What is the distance between [1,0,0] planes in FCC lattice given a is the length of the edge of the unit cell
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What is the distance between [1,1,0] planes in FCC lattice given a is the length of the edge of the unit cell
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How many different directions exist for the family of <100> Miller index in a simple cubic lattice?

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How many different directions exist for the family of <110> Miller index in a simple cubic lattice?

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What of these is true regarding distance between planes of one index [h,k,l]? (x2 = x * x)
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In a closed packing, the direction in which there are atoms touching is called the closed packed direction of the lattice. Using this, what is the direction of Miller planes for the closed packed direction of a BCC lattice?
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