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Element 'B' forms ccp structure and 'A' occupies half of the octahedral voids, while oxygen atoms occupy all the tetrahedral voids. The structure of bimetallic oxide is :
 
Option: 1 A_{4}B_{2}O
Option: 2 AB_{2}O_{4}
Option: 3 A_{2}BO_{4}
Option: 4 A_{2}B_{2}O
 

Answers (1)

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Voids -

Voids are empty spaces in a unit cell. They are of four types: triangular, tetrahedral, octahedral, cubic.

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B forms ccp structure (FCC)

Number of atoms per unit cell of 'B'=\frac{1}{8}\times8+6\times\frac{1}{2}=4

'A' occupies half of the octahedral voids.

Number of atoms of element A:-\; \; \frac{1}{2}\left [ 12\times\frac{1}{4}+1 \right ]

                                                        =\frac{1}{2}\times4=2

'O' atoms occupy all the tetrahedral voids.

Number of atoms of \\O:-\; \; 8

[2 Td voids on 4 Body diagonal]

Structure of bimetallic oxide is :-

A_{2}B_{4}O_{8}=AB_{4}O_{4}

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Ritika Jonwal

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