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Q.

Consider three-dimensional hexagonal close packing of identical rigid spheres. Two different types of voids are formed. Which of the following statements is/are correct about these voids?

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a

There are two different types of tetrahedral voids in terms of volume of the void

b

All the depressions of first layer are not completely covered by the spheres of the second layer to form tetrahedral void at each depression

c

There is only one type of octahedral voids in terms of volume of the void

d

Centres of tetrahedral voids and octahedral voids are at same distance from the plane of centres of spheres of one of the layers arranged in hexagonal close packing

answer is B, C.

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Detailed Solution

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Hexagonal close packing has tetrahedral as well as octahedral voids.The total no. of octahedral voids and tetrahedral voids per unit cell are 6 and 12

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