Question

To calculate the number of atoms in a face centered cubic cell?

Answer 1

Face Centered Cubic Lattice:

                    A unit cell of FCC consists of 8 atoms in the corner.Also it has 6 atoms in the face.

Each atom in the corner is shared by 8 other unit cells.

Each atom in the face is shared by 2 other unit cells.

Hence to calculate the number of atoms in the unit cell = \( \frac{Nc}{2} \) + \( \frac{Nf}{2} \).

                                                                                          = \( ^8/_8 \) + \( ^6/_2 \)

                                                                                          = 4

The number of atoms in a face centered cubic cell is 4.