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Question: one important property of all lattices is the socalled packing...

Question details

One important property of all lattices is the so-called “packing fraction”. It refers to the fraction of the volume of the unit cell that is occupied by the atoms, assuming the atoms are hard spheres and that nearest neighbors are touching each other at one point without overlapping. Calculate the packing fraction for

(i)a body-centered cubic lattice

(ii)a face-centered cubic lattice

(iii)a hcp lattice

(iv) the diamond lattice.

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