In two dimensions, the unit cell is a parallelogram. If the unit cell pattern is

Question

In two dimensions, the unit cell is a parallelogram. If the unit cell pattern is translated in the plane of the paper in the same directions as its sides and for distances equal to the length of its sides, it must replicate the entire structure. See Structure X as an example, where the original unit cell is shown as a dark parallelogram. The light parallelograms show the start of the process. The replicated structure must include the circles as well as all the spaces between the circles. Indicate which of the outlines drawn on the given structures A, B, and C, are accurate representations of the each structure's two-dimensional unit cell. If there are multiple answers to this question (eg: A and B; A, B, and C) please select each option for full credit.

Explanation / Answer

The outlines drawn on the structures B and C, are accurate representations of the each structure's two dimensional unit cell. For structure C, both outlines (square and parallelogram) correctly represent the two dimensional unit cell.

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