The simplest formula of a solid having CCP arrangement for 'A' atoms in which
alternate face-centres are occupied by `B' atoms and alternate edge centres are
occupied by 'C' atoms, is
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Given: Solid is having CCP arrangement for A atoms, alternate face-centers are occupied by B atoms and alternate edge centers are occupied by C atoms.
To find: The simplest formula of a solid.
Solution:
- Cubic Closed Packing: A CCP arrangement has a total of 4 spheres per unit cell. Its configuration have a coordination number of 12.
- So now we have given that solid is having CCP arrangement for A atoms, so :
Z(effective of A) = 4
- We have given that alternate face-centers are occupied by B atoms so:
Z(effective of B) = 1/2 x 1/2 x 6 = 3/2
- We have given that alternate edge centers are occupied by C atoms so :
Z(effective of C) = 1/4 x 12 x 1/2 = 3/2
- So the formula becomes:
A(4) B(3/2) C(3/2) = A(8) B(3) C(3)
Solution:
The simplest formula of a solid is A(8) B(3) C(3)
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