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6. Show that the reciprocal lattice of a body-centered cubic (bcc) lattice with a lattice con- stant a is a face-centere
Posted: Sun Jul 03, 2022 12:13 pm
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6. Show that the reciprocal lattice of a body-centered cubic (bcc) lattice with a lattice con- stant a is a face-centered cubic (fcc) lattice with the side of the cubic cell to be 47/a. [Hint: Use a symmetric set of vectors for bec: a = (v + z-x), b = (2+x-y), c = (x+y=z2) where a is the lattice constant of a conventional primitive cell, and x, y, z are unity vectors of a Cartesian coordinate. For fcc; a = = (y+z), b=(z+x), c = (x+y).] PROBLEMS 73