In reality, the atom's size determines whether it will lose or gain electrons necessary to create negatively charged (anion) and positively charged molecules (cations).
has 10 total electrons, whereas a atom has 11 total electrons.
There are exactly the same 11 protons in both instances.
As a result, the force of attraction acting on the electron in a sodium ion must be greater than it is in a sodium atom, which will cause the sodium ion to be smaller.
As a result, the radius of an element's cations will be lower than that of the neutral atom.