Question

how many atoms are present in (a)body centred cubic cell b) face centre cubic cell c) end center cubic cell​

Answer 1

Answer:

Explanation:

a) The face-centered cubic (fcc) has a coordination number of 12 and contains 4 atoms per unit cell. The body-centered cubic (bcc) has a coordination number of 8 and contains 2 atoms per unit cell. The simple cubic has a coordination number of 6 and contains 1 atom per unit cell.

b)Fcc unit cell means face centered crystal unit cell. It has atoms at face centered of it's basic cubic structure.

A cube has 8 corners and 6 faces

Each Atom at the corner contributes 1/8 of itself to a particular cubic crystal lattice.

8 atoms × 1/8 = 1 Atom ( at corners)

Each Atom at a face centre contributes 1/2 of itself to a particular cubic crystal lattice.

6 atoms × 1/2 = 3 atoms

Total atoms in a fcc lattice is 4 atoms.

c)Number of atoms in an end centred cubic unit cell= 8×1/8 + 2 x ½ = 2 atoms.