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A compound made of elements C and D crys...

A compound made of elements C and D crystallizes in fcc structure. Atoms of C are present at the corners of the cube. Atoms of D are at the centres of faces of the cube. What is the formula of the compound?

Text Solution

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i. C atoms are present at the 8 corners. The contribution of each corner atom to the unit cell is 1/8 atom. Hence, the number of C atom that belongs to the unit cell = `8 xx (1 /8)` = 1
ii. D atoms are present at the centres of six faces of unit cell. Each face-centre atom is shared between two cubes. Hence, centribution of each face centre atom to the unit cell is 1/2 atom.
The number of D atoms that belong to unit cell = `1/2 xx 6 = 3`
There are one C atom and three D atoms in the unit cell. `therefore`Formula of compound = `CD_3`
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