Consider an ionic solid MX with NaCl structure. Construct a new structure (Z) whose unit cell is constructed from the unit cell of MX following the sequential instructions given below. Neglect the charge balance.
(i) Remove all the anions (X) except the central one
(ii) Replace all the face centered cations (M) by anions (X)
(iii) Remove all the corner cations (M)
(iv) Replace the central anion (X) with cation (M)
The value of
in Z is ______
Text Solution
Verified by Experts3
(3)
Sol. As per given information cation form FCC lattice and anion occpy all the octahedral void.
So M + X – & Formula MX
4 ion 4 ion
After step I 4 ion 1 ion
After step II 1 ion 4 ion
After step III 0 ion 4 ion
After step IV 1 ion 3 ion
So ratio of
= 
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