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JEE Advanced
Exam
JEE Advanced
Subject
Chemistry
Chapter
Solid State

JEE Advanced · Chemistry · Solid State

BaTiO_3 has perovskite structure. In this structure, Ba^ 2+...

BaTiO3\mathrm{BaTiO}_3 has perovskite structure. In this structure, Ba2+\mathrm{Ba}^{2+} occupies the corners while Ti+4\mathrm{Ti}^{+4} occupies the centre of the lattice. If the oxide co-ordination number of Ba2+\mathrm{Ba}^{2+} ion is x , and that of Ti4+\mathrm{Ti}^{4+} is y , the Ba2+\mathrm{Ba}^{2+} ion co-ordination number of oxide ion is zz and Ti4+\mathrm{Ti}^{4+} ion co-ordination number of oxide ion is tt, then what is the value of ( x+y+x+y+ z+t)?z+t) ?

Correct answer

24

Step-by-step solution

In BaTiO3\mathrm{BaTiO}_3 crystal x, co-ordination no. of Ba2+\mathrm{Ba}^{2+} ion =12=12 yy, co-ordination no. of Ti4+\mathrm{Ti}^{4+} ion =6=6 z , co-ordination no. of O2−\mathrm{O}^{2-} ion w.r.t. Ba2+=4\mathrm{Ba}^{2+}=4 t , co-ordination no. of O2−\mathrm{O}^{2-} ion w.r.t. Ti4+=2\mathrm{Ti}^{4+}=2 ∴x+y+z+t=12+6+4+2=24\therefore x+y+z+t=12+6+4+2=24
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