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Jopi
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Homework Statement
As a part of a lab report, I need to calculate the distance of the (111) planes of an FCC lattice made out of spheres with diameter D.
Homework Equations
The Attempt at a Solution
The course assistant has given me the value of [tex]\frac{\sqrt{6}}{3}D[/tex]. I can understand where the [tex]\sqrt{6}D[/tex] comes from; it's the space diagonal of the cubic unit cell of the FCC lattice. But why is it divided by three? That means that there are three (111)-planes in one unit cell, but I have no idea why is that.