1. It is often convenient to represent a fcc lattice as simple cubic, with a cubic primitive cell of side a and a four-point basis. (a) Show that the structural factor is then either 4 or 0 at all points of the simple cubic reciprocal lattice. (b) Show that when points with zero structural factor are removed, the remaining points of the reciprocal lattice makes up a bcc cubic lattice with conventional cell of side 4π/a. Why is this expected?

Understanding Motor Controls
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Chapter44: Semiconductors
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1. It is often convenient to represent a fcc lattice as simple cubic, with a cubic primitive
cell of side a and a four-point basis.
(a) Show that the structural factor is then either 4 or 0 at all points of the simple cubic
reciprocal lattice.
(b) Show that when points with zero structural factor are removed, the remaining
points of the reciprocal lattice makes up a bcc cubic lattice with conventional cell of
side 4л/a. Why is this expected?
Transcribed Image Text:1. It is often convenient to represent a fcc lattice as simple cubic, with a cubic primitive cell of side a and a four-point basis. (a) Show that the structural factor is then either 4 or 0 at all points of the simple cubic reciprocal lattice. (b) Show that when points with zero structural factor are removed, the remaining points of the reciprocal lattice makes up a bcc cubic lattice with conventional cell of side 4л/a. Why is this expected?
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