Solution (source code)

= Solution

\b[The large drop from <carbon> to <silicon> is the main trend; the smaller reversals at Ge and Pb reflect changes in shielding and valence-electron binding.] <Allen electronegativity> is based on the mean <binding energy> of <valence electrons> in free ground-state atoms, rather than an arbitrary charge-transfer count. Moving to larger principal shells generally makes the <valence electrons> more diffuse and more shielded, reducing their attraction to the nucleus. <carbon>'s compact second-shell valence orbitals therefore give particularly high <electronegativity>.

The intervening filled 3d shell shields imperfectly, increasing effective nuclear attraction in <germanium> relative to a simple smooth extrapolation from <silicon>. This helps explain Ge being slightly above Si rather than below it. Increased size then lowers Sn relative to Ge. The filled inner d and f shells and relativistic stabilization of <lead>'s 6s <electrons> modify the next step; contraction and stronger binding of the 6s contribution help Pb lie slightly above Sn. The small reversals should not obscure the much larger C-to-Si change. The spectroscopic definition includes both occupied s and p valence contributions, so the relativistic s effect can influence the Allen average even though not every electron participates equally in every bond.<Electronegativity is the average one-electron energy of the valence-shell electrons in ground-state free atoms by Leland C. Allen>[Definition of the valence-shell spectroscopic average]{ref}