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Question

# If Z is the number of atoms in the unit cell that represents the closest packing sequence ABCABC....., the number of tetrahedral voids in the unit cell is equal to

A
Z
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B
Z/2
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C
2Z
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D
Z/4
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Solution

## The correct option is C 2Z The close packing sequence ABCABCABC... represent the cubic close packing structure. Here, Z is the number of atoms in the unit cell. In ccp/fcc, there are two tetrahedral voids on the every body diagonal of the cube/unit cell. Fcc has total 4 body diagonals. Thus, totally 8 tetrahedral voids present inside the unit cell. Also, number of atoms in fcc/ccp arrangement is 4 Hence, No. of atoms per unit cell =Z No. of tetrahedral voids =2Z

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