What is the number of tetrahedral voids in FCC Unit cell?

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Solution

Take a look at the figure above. Do you see the tetrahedron?

We can have such tetrahedrons for every small cube that you can see inside the bigger one.

And you know that there are 8 smaller cubes. Hence there will be 8 tetrahedral voids totally.

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Similar questions

In which of the following structures coordination number for cations and anions in the packed structure will be same ?

(a) $C l^{-}$ ions form fcc lattice and $N a^{+}$ ions occupy all octahedral voids of the unit cell

(b) $C a^{2 +}$ ions form fcc lattice and $F^{-}$ ions occupy all the eight tetrahedral voids of the unit cell

(d) $S^{2 -}$ ions form fcc lattice and $Z n^{2 +}$ ions go into alternate tetrahedral voids of the unit cell

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