Question 1.8) How many lattice points are there in one unit cell of each of the following lattice (i) Face centred cubic (ii) Face centred tetragonal (iii) Body centred

Question 1.8) How many lattice points are there in one unit cell of each of the following lattice (i) Face centred cubic (ii) Face centred tetragonal (iii) Body centred- Hosting Precise

Posted on 20th Nov 2021 04:55:56 in

Question 1.8) How many lattice points are there in one unit cell of each of the following lattice?

(i) Face-centred cubic

(ii) Face-centred tetragonal

(iii) Body-centred

Answer:-

Lattice points in face centred cubic

(i) Face-centred cubic: -

Face centred tetragonal

(ii) Face-centred tetragonal: -

= 8 ( at corners ) + 6 ( at face centre ) = 14

Particle per unit cell $= 8 \times \frac{1}{8} + 6 \times \frac{1}{2} = 4$

Lattice points in body centred cubic

(iii) Body-centred: -

= 8 (at corners) + 1 (at body centre) = 9

Particles per unit cell $= 8 \times \frac{1}{2} + \frac{1}{8} \times 1 = 2$

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