Practicing Success
How many bravais lattices are present in total of seven crystal systems? |
10 14 28 16 |
14 |
There are four types of unit cell (i) Primitive (Simple): Lattice points are at corners. (ii) Face-centred: Lattice points are at corners and at face-centres. (iii) Body-centred: Lattice points are at corners and at body-centres. (iv) End-face centred: Lattice points are at corners and at end-faces. Seven types of crystal systems exist. Total number of arrangements = 7 x 4 = 28 But only 14 of these arrangements exist, because for these arrangement of atoms, force of attraction > force of repulsion. In rest of fourteen, repulsion > attraction. Hence, only 14 Bravais lattices are present in 7 crystal systems. |