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

Options

A. `100%` of tetrahedral holes
B. `25%` of octahedral holes
C. `100%` of octahedral holes
D. `25%` of tetrahedral holes

Answer

2

Explanation

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.