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 ____.
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In MX, from the information given, cation M forms FCC structure
Cation M → at all corners as well as at all face-centers of the unit cell.
Anion X → at all edge centers and at body center of the unit cell.
on applying all alterations, the structure Z would have as given below :
M X
Initially 4 4
After step-1 4 1
After step-2 1 1+3=4
After step-3 0 4
After step-4 1 3
Cation M → Only at body center (Z = 1)
And Anion X → At all face centers (Z = 3)