Problem: Consider the two-dimensional square lattice of the figure below. The "packing efficiency" for a two-dimensional structure would be the area of the atoms divided by the area of the unit cell, times 100%. What is the packing efficiency for a square lattice for atoms of radius large{frac {a}{2}} that are centered at the lattice points?

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Consider the two-dimensional square lattice of the figure below. The "packing efficiency" for a two-dimensional structure would be the area of the atoms divided by the area of the unit cell, times 100%. What is the packing efficiency for a square lattice for atoms of radius that are centered at the lattice points?

square lattice showing a unit cell where side a is equal in length to side b, and the angle between a and b is equal to 90 degrees


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