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) (ii) Remove all the corner cations (M) (iv) Replace the central anion (X) with cation (M) The value of number of anions number of cations in Z is .......

Question

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) (ii) Remove all the corner cations (M) (iv) Replace the central anion (X) with cation (M) The value of  number of anions  number of cations  in Z is .......

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$$X-$$ at octahedral $$voidsM+$$ at face centred cubeNow,                                                               $$M+$$                                 $$X-Step$$ $$-$$ $$1$$                                                   $$4$$                                   $$1Step$$ $$-$$ $$2$$                                               $$4$$ $$-$$ $$3$$                               $$3$$ $$+$$ $$1Step$$ $$-$$ $$3$$                                             $$4$$ $$-$$ $$3$$ $$-$$ $$1$$                            $$3$$ $$+$$ $$1Step$$ $$-$$ $$4$$                                                  $$1$$                                    $$3Z=31=3$$

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