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In hexagonal system of crystals, a frequ...

In hexagonal system of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space -filling model of this structure, called hexagonal close-packed (HCP), is consituted of a sphere on a flat surface surrouneded in the same plane by six identical spheres as closely possible. Three sphere are then palces over the first layer so that they touch each other and represent second layer is covered with third layer that is identical to the bottom layer in relative position. Assume radius of enery sphere to be r.

The number of atoms in the HPC unit cell is :

A

4

B

6

C

12

D

17

Text Solution

Verified by Experts

The correct Answer is:
B
According to the given descripition, the arrangement of atoms in HCP will. Effective number of atoms present in the unit cell of HCP
`=12xx1/6+3+2xx1/2`=6
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