Home
Class 11
CHEMISTRY
In a face centred cubic lattice, atom A ...

In a face centred cubic lattice, atom `A` occupies the corner positions and atom `B` occupies the face centred positions. If one atom of `B` is missin from one of the face centred points,, the formula of the compound is `:`

A

`AB_(2)`

B

`A_(2)B_(3)`

C

`A_(5)B_(5)`

D

`A_(2)B`

Text Solution

Verified by Experts

Contribution by atoms A on the corners
` 4= 8 xx 1/8 =1 `
Contribution by atoms B on the face centres
` 5 xx 1/2 = 5/2 `
( Total atoms on face centres = 6. As one atoms is missing , atoms actually present = 5)
: Ration of A: B = ` 1 : 5/2 = 2: 5`
Henece, formula ` = A_(2)B_(5)`
Promotional Banner

Topper's Solved these Questions

  • APPENDIX

    PRADEEP|Exercise 6 WHAT HAPPENS WHEN|1 Videos

  • APPENDIX

    PRADEEP|Exercise 7 WHAT HAPPENS WHEN|1 Videos

  • CHEMICAL BONDING AND MOLECULAR STRUCTURE

    PRADEEP|Exercise Curiosity Questions|2 Videos

Similar Questions

Explore conceptually related problems

In an alloy atom X occupies the corner positions and atom Y occupies the face centre positions of fcc lattice.If one of the face centre atom is missing then formula of the compound is

An ionic compand made up of atoms A and B has a face- centred cubic arrangement in which atoms A are at the cornere and atoms B are at the face- centres. If one of the atoms is missing from the corrner, what is the simplest formula of the compound ?

A substance A_(x)B_(y) crystallises in a face centred cubic (fcc) lattice in which atoms 'A' occupy each corner of the cube and atoms 'B' occupy the centres of each face of the cube identify the correct formula of the compound.

A face centred cubic is made up of two types of atoms A and B in which A occupies the corner positions and B occupies the face centres. If atoms along one of the body diagonal are removed, empirical formula of remainning solid will be

A solid compound contains X,Y and Z atoms in a cubic lattice with X atoms occupying the corners,Y atoms in the body centred positions and Z atoms at the centres of faces of the unit cell. What is the empirical formula of the compound