BaTiO ₃ has perovskite structure. In this structure, Ba ²⁺ occupies the corners while Ti ⁺⁴ occupies the centre of the lattice. If the oxide co-ordination number of Ba ²⁺ ion is x , and that of Ti ⁴⁺ is y , the Ba ²⁺ ion co-ordination numbe

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BaTiO ₃ has perovskite structure. In this structure, Ba ²⁺ occupies the corners while Ti ⁺⁴ occupies the centre of the lattice. If the oxide co-ordination number of Ba ²⁺ ion is x , and that of Ti ⁴⁺ is y , the Ba ²⁺ ion co-ordination number of oxide ion is z and Ti ⁴⁺ ion co-ordination number of oxide ion is t , then what is the value of ( x+y+z+t) ?

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Correct answer: 24

In BaTiO ₃ crystal x, co-ordination no. of Ba ²⁺ ion =12y , co-ordination no. of Ti ⁴⁺ ion =6 z , co-ordination no. of O ²⁻ ion w.r.t. Ba ²⁺=4 t , co-ordination no. of O ²⁻ ion w.r.t. Ti ⁴⁺=2 x+y+z+t=12+6+4+2=24

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