Class 12 Chemistry - Chapter The Solid State NCERT Solutions | How many lattice points are there in one
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
(i) No. of corner atoms per unit cell = 8 corner atoms x 1/8 atom per unit cell
= 8 x 1/8 = 1 atom
No. of face centred atoms per unit cell = 6 face centred atoms x 1/2 atom per unit cell
= 6 x 1/2 = 3 atoms
:. Total no. of atoms or labtice points = 1+3= 4 atoms.
(ii) Face centered tetragonal
8 lattice points at corners and 6 lattice points at face centres
:. 8 x 1/8 + 6 x 1/2 = 4
(iii) In bcl unit cell, no. of corner atoms per unit cell
= 8 x 1/8 per corner atom
= 1 atom
No. of atoms at body centre = 1 atom
:. Total no. of atoms (lattice points) = 1 + 1 = 2
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