Diamond has a three dimensional structure of C

Question:

Diamond has a three dimensional structure of C atoms formed by covalent bonds. The structure of diamond has face centred cubic lattice where 50% of the tetrahedral voids are also occupied by carbon atoms. The number of carbon atoms present per unit cell of diamond is _______. 

Solution:

Carbon atoms occupy FCC lattice points as well as half of the tetrahedral voids

therefore number of carbon atoms atoms per unit cell = 8 

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