(a) Show that all reciprocal lattice vectors of the form G= hÃ+kB+IC are perpendicular to the planes of the same indices (h, k, I) in real space.

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2)
(a) Show that all reciprocal lattice vectors of the form
G= hÃ+ kB+IC are perpendicular to the planes of the same
indices (h, k, I) in real space.
(b) Show that the distance dħkj between two consecutive planes
(h, k, I) is inversely proportional to G,ka.
(c) Find drki for:
(i) A simple cubic lattice
(ii) A orthorhombic lattice (a ± b # c, a = B = y= t/2)
Transcribed Image Text:2) (a) Show that all reciprocal lattice vectors of the form G= hÃ+ kB+IC are perpendicular to the planes of the same indices (h, k, I) in real space. (b) Show that the distance dħkj between two consecutive planes (h, k, I) is inversely proportional to G,ka. (c) Find drki for: (i) A simple cubic lattice (ii) A orthorhombic lattice (a ± b # c, a = B = y= t/2)
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