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The 100 plane of an FCC structure is the plane of the unit cell in the zy direction.

This face has 1 whole face atom and 4*1/4 corner atoms = 2 atoms.

The unit cell length of an FCC structure in relation to the atomic radius (r) of the atoms that make it up is 2sqrt(2)*r

Area of atoms = 2*pi r2

Area of plane = [2sqrt(2)*r]2 = 8*r2

Planar density = Area of atoms/ Area of plane

= 2*pi r2/ 8*r2

= pi / 4

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