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Question

How many spherical units belong to the unit cell of hcp ?


A

2

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B

4

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C

6

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D

8

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Solution

The correct option is C

6


A hexagonal unit cell consists of 12 units on the corners of end faces (each unit shared by 6 unit cells), 2 units at the centres of end faces (shared by 2 unit cells, and 3 units in the body.)


Hence, units per hexagonal unit cell
=16×12(corners)+12×2(centres of end faces)+3


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