In a face-centered cubic (FCC) lattice, the coordination number of each atom is:
4
6
8
12
In a face-centered cubic (FCC) lattice, each atom is in contact with 12 nearest neighbors. These 12 neighbors are located at the corners of a regular octahedron around the central atom. This means that the coordination number of each atom in an FCC lattice is 12.
To visualize this, imagine a cube where atoms are located at each of the corners and at the center of each face. Now, if you draw an imaginary sphere around one of the atoms located at the corner of the cube, it will touch the atoms located at the center of the adjacent faces. Similarly, if you draw an imaginary sphere around one of the atoms located at the center of a face, it will touch the atoms located at the corners of the adjacent faces. In both cases, there are 12 atoms that are in contact with the central atom, giving a coordination number of 12.