Explain why atomic radius increases going down a group in the periodic table, using effective nuclear charge and electron shielding.
Think about your answer, then reveal below.
Model answer: Each successive element in a group adds a new electron shell. The inner shells (core electrons) shield the outer electrons from the nucleus very effectively, so the effective nuclear charge felt by the outermost electrons stays roughly constant down the group. With each new shell farther from the nucleus, the valence electrons are simply further away, making the atom larger.
The key is that inner shells shield very well — each core electron roughly cancels one unit of nuclear charge for the valence electrons. So even though the nucleus gains more protons going down a group, the valence electrons see approximately the same Zeff (roughly +1 for alkali metals, for example). The dominant effect is that valence electrons occupy higher and higher principal quantum number shells (n=2, 3, 4...), which are intrinsically larger orbitals farther from the nucleus.