The total number of tetrahedral voids in face centered unit cell is ______.

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Solution

The correct option is B 8
In face centered cubic unit cell (FCC), tetrahedral voids are present on body diagonals. There are two tetrahedral voids on each body diagonal at ${(\frac{1}{4})}^{t h}$ of the distance from each corner.

So, total number of tetrahedral voids = (no. of tetrahedral voids per body diagonal) x (no. of body diagonals) = $2 \times 4 = 8$
Hence, Option "B" is the correct answer.

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Similar questions

The total number of tetrahedral voids in the face centred unit cell is ................

(a) 6 (b) 8 (c) 10 (d) 12

In the cubic close packing, the unit cell has

(a) 4 tetrahedral voids each of which is shared by four adjacent unit cell

(b) 4 tetrahedral voids within the unit cell

(d) 8 tetrahedral voids within the unit cells

\frac{1}{4^{t h}}

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