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

b

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

c

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

d

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

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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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?