In a face centred cubic arrangement of A and B atoms where A are present at the corner and B at
the face centres, A atoms are missing from 4 corners in each unit cell? What is the simplest
formula of the compound?
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In a face centred cubic arrangement of A and B atoms in which 'A' atoms are at the corners of the unit cell.
There are total 8 corners and each contributes one eight to the unit cell.
One of the 'A' atom is missing from one corner in unit cell.
So there are 7 'A' atoms with total contribution 7×
8
1
=
8
7
.
'B' atoms are at the face centres. There are six face centres. Each contributes one half to the unit cell.
Total contribution =6×
2
1
=3
A:B=
8
7
:3=7:24
The simplest formula of compound is A7B24
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