Mathematical Crystallography
'In crystallography, [111] is a specific notation that represents a direction in a crystal lattice. This notation is part of the Miller indices system, which is used to describe directions and planes in a crystal structure. The [111] direction is significant as it corresponds to a diagonal line connecting the corners of a cubic unit cell, often linked with the close-packed directions in face-centered cubic (FCC) lattices, where atoms are densely packed.'
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