Simple Cubic Unit Cell

A simple cubic unit cell is a type of crystal structure in which the atoms are arranged in a cube. Each corner of the cube contains an atom, and each atom touches six other atoms.

Coordination Number

The coordination number of an atom is the number of atoms it is in contact with. In a simple cubic unit cell, the coordination number of an atom located at the corner is the number of atoms it touches.

1st Coordination Number

The 1st coordination number of an atom located at the corner in a simple cubic unit cell is the number of atoms it touches directly. Since the atom at the corner is only in contact with one other atom, the 1st coordination number is 1.

2nd Coordination Number

The 2nd coordination number of an atom located at the corner in a simple cubic unit cell is the number of atoms it touches indirectly through the atoms it is directly in contact with. Since the atom at the corner is only in contact with one other atom, and that atom is in contact with six other atoms, the 2nd coordination number is 6.

3rd Coordination Number

The 3rd coordination number of an atom located at the corner in a simple cubic unit cell is the number of atoms it touches indirectly through the atoms it is indirectly in contact with. Since the atom at the corner is only in contact with one other atom, that atom is in contact with six other atoms, and each of those atoms is in contact with six other atoms, the 3rd coordination number is 0.

In summary, the 1st coordination number is 1, the 2nd coordination number is 6, and the 3rd coordination number is 0 for an atom located at the corner in a simple cubic unit cell.

1st- 6
2nd- 12
3rd - 8