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Coordination Number

Titanium crys...

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Titanium crystallizes in a face centred cubic lattice. It reacts with carbon or hydrogen interstitially by allowing atoms of these elements to occupy holes in the host lattice. Hydrogen occupies tetrahedral holes but carbon occupies octahedral holes the formula of titanium carbide and hydride are

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B a T i O_{3}

crystallizes in the perovskite structure. This structure may be described as a cubic lattice with barium ions occupying the corner of the unit cell, oxide ions occupying the face-centers and titanium ion occupying the center of the unit cell.

(a) If titanium is described as occupying holes in

B a O

lattice, what type of holes it occupy?

(b)What fraction of this type of holes does it occupy?

B a T i O_{3}

crystallizes in the perovskite structure. This structure may be described as a cubic lattice, with barium ions occupying the corners of the unit cell, oxide ions occupying the face centers and titanium ions occupying the centers of the unit cells.
(a) If titanium is described as occupying holes in the

B a O

lattice, what type of hole does it occupy?
(b) What fraction of the holes of this type does it occupy?
(c) Can you suggest a reason why it has certain holes of this type but not the other of the same type?

Q. If titanium is described as occupying holes in BaO lattice, what type of holes does it occupy?

Q. In a face centred lattice with all the positions occupied by

A

atoms, the body centred octahedral holes in it is occupied by an atom

B

of an appropriate size for such a crystal. Predict the formulae of the compound.

Q. In spinel structure, oxides ions form fcc lattice, whereas

\frac{1}{8}

th of tetrahedral holes are occupied by cations

A^{2 +}

\frac{1}{2}

of octahedral holes are occupied by cations

B^{3 +}

ions. The general formula of the compound having spinel structure is

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