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Aslam Agarwal
Asked: 2022-11-11T22:30:46+05:30 In:

Barium titanate crystallizes in perovskite structure `(ABO_(3))` which is a cubic lattice with barium ions occupying the corners of the unit cell ,oxide ions occupying the face centres and titanium ion occupying centes of unit cell.if `Ti^(4+)` ions are described as occupying the holes in `Ba-O` lattice. then type of hole and fraction of these holes occupied by these ions are
A. `100%` of tetrahedral holes
B. `25%` of octahedral holes
C. `100%` of octahedral holes
D. `25%` of tetrahedral holes

Barium titanate crystallizes in perovskite structure `(ABO_(3))` which is a cubic lattice with barium ions occupying the corners of the unit cell ,oxide ions occupying the face centres and titanium ion occupying centes of unit cell.if `Ti^(4+)` ions are described as occupying the holes in `Ba-O` lattice. then type of hole and fraction of these holes occupied by these ions are
A. `100%` of tetrahedral holes
B. `25%` of octahedral holes
C. `100%` of octahedral holes
D. `25%` of tetrahedral holes
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  1. Correct Answer – 2
    Since the centre of an fcc unit cell is an octahedral void,`Ti^(4+)` ion is present in the octahedral void. Total number of octahedral voids per fcc unit cell is `4`. Since only one of the voids is captured we have `(1)/(4)xx100%=25%` occupany.

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