Question

Example 80. In a cubic lattice, the closed packed struc- ture of mixed oxides of the lattice is made up of oxide ions; one eighth of the tetrahedral voids are occupied by divalent ions (A2+) while one half of the octahedral voids are occupied by trivalent ions (B3). What is the formula of the oxides?

JEE/Engineering Exams

Chemistry

Solution

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Whe be so ( 0^{2} ), in the crystap vetatedral varide 2 so Qefsehedral voide ( =2 times 0 mathrm{cta} ) [ begin{array}{r} 2160 A^{3+}, text { isne } 2 frac{1}{r} times 160=20 end{array} ] ( 3^{3+text { ione }} frac{21}{2} times 60=40 ) [ A^{2}+3^{3+}: 0^{2}=20: 40: 80 ] ( int_{text {Umato }}, A_{1 / 3}, 0_{4}, 21: 2: 4 )