Part of INC-01 — Classification of Elements & Periodicity

Reasoning Chain — Why IE(N) > IE(O)

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Premise

Moving from N (atomic number 7) to O (atomic number 8) across Period 2, the general trend predicts IE should increase. Yet IE(N) = 1402 kJ/mol > IE(O) = 1314 kJ/mol. Why?

Step 1 — Write Electronic Configurations

  • Nitrogen: 1s22s22p31s^2\,2s^2\,2p^3 → three 2p electrons, one per orbital (Hund's rule: ↑ ↑ ↑)
  • Oxygen: 1s22s22p41s^2\,2s^2\,2p^4 → four 2p electrons, one orbital has a paired electron (↑↓ ↑ ↑)

Step 2 — Identify the Electron Being Removed

  • From N: removing one of three equivalent, unpaired 2p electrons
  • From O: removing one of the paired 2p electrons (from the doubly occupied orbital)

Step 3 — Assess Repulsion in the Source Orbital

  • In O, the two electrons forced into the same 2p orbital repel each other constantly
  • This electron–electron repulsion raises the energy of the paired electron
  • A higher-energy electron is easier to remove

Step 4 — Assess Subshell Stability in N

  • N's half-filled 2p3p^{3} configuration: each 2p orbital has exactly one electron → maximum symmetry → minimum repulsion
  • This half-filled configuration has extra stability → electron is harder to remove

Step 5 — Quantify the Net Effect

  • The extra repulsion in O's 2p4p^{4} configuration more than cancels the increase in Zeff from N to O
  • Net result: removal of the paired 2p electron from O requires less energy than removing an unpaired electron from N

Step 6 — Analogous Reasoning for Be > B

  • Be (2s22s^2): removing from fully filled 2s2s^{2} → extra stability → higher IE
  • B (2s22p12s^2\,2p^1): removing lone 2p1p^{1} electron → no stability premium, easier

Step 7 — General Rule (NEET Shortcut)

Whenever a subshell is fully filled or half-filled, IE is higher than the immediately following element. This applies to Be/B and N/O in Period 2.

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