The following conclusions can be drawn from using the periodic table to compare the sizes of ionic radii to the equivalent atomic radii or other ionic radii.
The nuclear pull is greater for the magnesium atom since it has a higher atomic number than sodium but the same number of shells. Its size is therefore smaller than sodium's. When an electron is added to an atom to form an anion, the new electron repels other electrons, increasing the size of the ion. This is why phosphorus ions are larger than phosphorus atoms.
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