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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
Wiki User
∙ 12y ago
The planar density of a 100 plane in a face-centered cubic (FCC) structure can be calculated by counting the atoms along the edge of the plane. For a 100 plane in FCC, there are 2 atoms along the edge in the [100] direction. The formula to calculate planar density is (number of atoms along the edge) / (edge length * sqrt(2)).
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