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A unit cell consists of a cube in which ...

A unit cell consists of a cube in which X atoms at the corners and Y atoms are at the face centres. If two atoms are missing from two corners of the unit cell , what is the formula of the compound ?

Text Solution

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Total contribution of .X. atoms from 6 corners `= (1)/(8)xx6=(3)/(4)`
Number of atoms of Y from face centres = 3
`therefore x : y = (3)/(4):3=3:12` or 1 : 4
Hence, formula is `XY_(4)`.
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