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The Solid State

Question

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Gold (atomic radius = 0.144 nm) crystallises in a face-centred unit cell. What is the length of a side of the cell?

Solution

Radius, r = 0.144 nm,
Unit cell is fcc, edge of unit cell, a = ?
In face centered unit cell, diagonal of face = 4r =

a \sqrt{2}

[∵ face diagonal =

a \sqrt{2}

]

Therefore,

a = \frac{4 r}{\sqrt{2}} = \sqrt{2} r

= 2 \times 1.4142 \times 0.144 nm = 0.4073 nm .

Length of side of unit cell,

a = 0.4073 nm.

Some More Questions From The Solid State Chapter

Classify the following solids in different categories based on the nature of intermolecular forces operating in them:
Potassium sulphate, tin, benzene, urea, ammonia, water, zinc
sulphate, graphite, rubidium, argon, silicon carbide.

Solid A is a very hard, electrical insulator in solid as well as in molten state and melts at extremely high temperature. What type of solid is it?

Ionic solids conduct electricity in liquid state but not in solid state. Explain.

What type of solids are electrical conductors, malleable and ductile?

Give the significance of a 'lattice point'.

Name the parameters that characterize a unit cell.

Distinguish between Hexagonal and monoclinic unit cells.

Distinguish between Face-centred and end-centred unit cells.

What is the two-dimensional coordination number of a molecule in square close packed layer ?

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