3
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
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Solution
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
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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