Respuesta :

Answer : The number of atoms per unit cell of simple cubic unit cell is, 1

Explanation :

Unit cell : It is defined as the smallest 3-dimensional portion of a complete space lattice which when repeated over the and again in different directions produces the complete space lattice.

There are two types of unit cell.

(1) Primitive unit cell or simple unit cell

(2) Non-primitive unit cell

Primitive unit cell or simple unit cell : It is defined as the unit cells in which the constituent particles are present only at the corners.

Non-primitive unit cell : It is defined as the unit cells in which the constituent particles are present not only at the corners of the unit cell but also at some other positions.

Now we have to determine the number of atoms per unit cell of simple cubic unit cell.

As we know that, there are 8 atoms present at the corners of the unit cell.

And the contribution of each atom present at the corner = [tex]\frac{1}{8}[/tex]

Thus, the number of atoms present in the unit cell = [tex]\frac{1}{8}\times 8=1[/tex]

Therefore, the number of atoms per unit cell of simple cubic unit cell is, 1