Prove that in a cubic crystal, a direction [hkl] is perpendicular to the plane (hkl)...

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Physics

Prove that in a cubic crystal, a direction [hkl] is perpendicular to the plane (hkl) having the same indices.

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In a cubic crystal the lattice parameters in all three dimensions are equal and the angles between the lattice vectors are 90 degrees Therefore the crystal system is characterized by three mutually perpendicular axes each of which is equivalent to the others Lets consider a plane with the Miller indices hkl which represents a set of parallel planes in the    See Answer
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