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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Our tutors have indicated that to solve this problem you will need to apply the Unit Cell concept. You can view video lessons to learn Unit Cell. Or if you need more Unit Cell practice, you can also practice Unit Cell practice problems.