How many atoms are present in end centred cubic unit cell?

We know that in end-centred cubic unit cell, 8 atoms are located on 8 corners of the cube and 1 atom each is present on two opposite faces of the cube.

Atoms in end-centred cubic unit cell

  • 8 atoms are  present on 8 corners, where each atom contributes 1/8th portion of the cell
  • 2 atoms are present at the centre of the cell, where each atom contributes 1/2 portion of the cell

Total atoms present in end centred cubic cell

Number of atoms at the corners + Number of atoms at the centre

Number of atoms in an end centred cubic unit cell=

8×1/8 + 2 x ½ = 2 atoms

Hence total atoms present in end centred cubic cell= 2 atoms

Answer

Two atoms are present in end centred cubic unit cell.

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