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Using circles, draw regular two-dimensional arrangements that demonstrate low packing efficiency and high packing efficiency

Using circles, draw regular two-dimensional arrangements that demonstrate low packing efficiency and high packing efficiency

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Answer #1

The packing efficiency is the fraction of the crystal (or unit cell) actually occupied by the atoms. It must always be less than 100% because it is impossible to pack spheres (atoms are usually spherical) without having some empty space between them.

P.E. = (area of circle) / (area of unit cell)

For a square lattice as shown, the coordination number is 4 (the number of circles touching any individual).  The coordination geometry is square, as shown below.

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