Question

in a face centered cubic arrangement of A and B atoms , A atoms are at the corners of the unit cell and B atoms are the face centre. One of the A atom is missing from one corner in the unit cell. the simplest formula of the compound is​

Answer 1

Answer:

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 A

7

B

24