Assertion ( A) `:` The total number of atoms present in a simple cubic unit cell is one .
Reason ( R ) `:` Simple cubic unit cell has atoms at incorners each of which is shared between eight adjacent unit cells .

Options

A. Both assertion and reason are true and reason is the correct explanation of assertion.
B. Both assertion and reason are true but reason is not the correct explanation of assertion.
C. Assertion is true but reason is false
D. Both assertion and reason are false.

Answer

a

Explanation

In the simple cubic structure there is only one lattice point at each corner of the cube-shaped unit cell. They mark the position of either a single atom, or the same group of atoms, known as the motif, which is repeated across the lattice. The simple cubic structure with only one atom per lattice point is relatively rare in nature, as it is fairly unstable because of its low packing efficiency and low number of nearest neighbour around each atom.