Planar Density of (0,-1,1,0) plane in HCP

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How can I calculate the planar density of the (0,-1,1,0) plane in HCP? (in terms of atomic radius r)
 
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What is the definition of planar density?

Knowing the c and a lattice parameters, how would one calculated the area of the (0,-1,1,0) plane?

How do the c and a lattice parameters relate to the atomic radius?
 
Astronuc said:
What is the definition of planar density?

Knowing the c and a lattice parameters, how would one calculated the area of the (0,-1,1,0) plane?

How do the c and a lattice parameters relate to the atomic radius?

Finding "a" is easy it's equal 2r but finding "c" is more complicated, also determine how many atoms that plane crosses is complicated as well.
 
One should be able to find c as a function of r by looking at the packing of the 3 interior atoms between the top and bottom planes of the hexagonal cell.

Ostensibly, there is a theoretical c/a.