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Packing Efficiency

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Problem

In an FCC unit cell, atoms along any one pair of adjacent edges are removed as shown below.
Calculate the percentage packing efficiency of the unit cell.
Note: The relationship between edge length (a) of the unit cell and the radius of an atom (r) remains the same as in a typical FCC unit cell
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
%.