Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
The atomic radius of sodium is . Potassium, below it in group 1, is . Magnesium, beside it in period 3, is . Find the change in radius in each direction, and each change as a percentage of the radius of sodium. Explain why the two go in opposite directions.
Atomic radius falls across a period, because the nuclear charge grows while new electrons enter the same shell. It grows down a group, because each period adds a shell. A cation is smaller than its atom, an anion larger. In isoelectronic species, more protons mean a smaller particle. The covalent radius is half the distance between two bonded nuclei, and the metallic radius half the distance between neighbouring nuclei in a metal.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Down the group. larger, which is .
Step 2. Across the period. smaller, which is .
Step 3. Why. Potassium has a fourth shell, farther from the nucleus. Magnesium keeps three shells but has one more proton, which pulls them in.
Answer: potassium is () larger, and magnesium is () smaller.
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