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Simple Cubic "Non-Bravais" Lattice

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A simple cubic structure is constructed in which two planes of A atoms followed by two planes of B atoms alternate in the [100] direction (see attached).
a) What is the crystal structure (viewed as a non-Bravais lattice with four atoms per unit cell)?
b) What are the primitive translation vectors of the reciprocal lattice?
c) What is the structure amplitude (geometric structure factor) for this non-Bravais lattice?

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Solution Summary

We calculate various quantities pertaining to a simple cubic non-Bravais lattice crystalline structure.

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a) The crystal structure is tetragonal with lattice vectors of length 4a in the [100] direction and legths a in the ...

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