Perovskite, a mineral containing calcium, oxygen & titanium…

Chemistry Solid State General Numeric Response

Published on: August 13, 2026

Perovskite, a mineral containing calcium, oxygen & titanium crystallizes in the cubic unit cell. Calcium ion occupying the corners of unit cell, oxide ion occupying the face centres & titanium ions occupying centres of unit cell. Titanium ion is described as occupying the holes in C a-O lattice.

(i) Type of holes & fraction of these holes occupied by these ions –

100% octahedral holes Zero 146.4 pm.

25% tetrahedral holes + 2 29.4 pm.

25% octahedral holes + 3 45 pm.

25% cubical holes (ii) Oxidation state of titanium in mineral is – + 4 (iii) If positions of calcium ion in perovskite are also occupied by O-atoms & edge length of unit cell becomes 200 pm. Then radius of largest atom that can be fit into the interstices without destorting the lattice 93 Pm.

Text Solution

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The correct answer is:

(i)

Sol. 25% octahedral holes

(ii)

Sol. + 4

(iii)

Sol. 29.4 pm

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