(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Three close-packed planes of atoms are stacked to form fcc lattice. The stacking sequence of the three planes can be altered to form the hexagonal close packed structure by sliding the third plane by the vectorrover the second. If the planes in the fcc structure are all (111) planes, what is the translation vectorrin terms of unit vectors [100], [010], and [001] of the fcc lattice?

2. Relevant equations

3. The attempt at a solution

Unit vectors [100], [010], and [001] of the fcc lattice can be expressed asa, b,andc(any arbitrary origin point O would work).

The problem can be converted to finding relative position of one atom from hcp from an arbitrary origin point O defined using fcc lattice.

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# Homework Help: A crystallography problem using 3D geometry

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