How many lattice points are there in one unit cell of each of the following lattice? a. Face-centred cubic b. Face-centred tetragonal c. Body-centred

How many lattice points are there in one unit cell of each of the foll

1.	How many lattice points are there in one unit cell of each of the following lattice? a. Face-centred cubic b. Face-centred tetragonal c. Body-centred
Answer» In face centred cubic arrangement, Lattice point located at the corners of the cube = 8 Lattice point located at the corners of each face = 6 Total no. of lattice points = 8 + 6 = 14 (b) In face centred tetragonal, the number of lattice points is also the same i.e., 8 + 6 = 14. (In both the cases, particles per unit cell `=8xx1//8+6xx1//2=4)` (c) In body centred cubic arrangement, Lattice point located at the corners of the cube = 8 Lattice points located in the centre of the body = 1 Total no. of lattice points = `8+1=9` (the total number of particles per unit cell `=8xx1//8+1=2`)

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How many lattice points are there in one unit cell of each of the following lattice? a. Face-centred cubic b. Face-centred tetragonal c. Body-centred

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