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Q.Draw the molecular orbital diagram of the O2 molecule and, on this basis, explain its bond order and magnetic nature. OR What is meant by a hydrogen bond and how many types are there? Explain with examples.

Rajasthan RbseRajasthan Board Senior Secondary Part-I Examination 2023Subjective· 4mImportance★★★★★
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Figure — Molecular-orbital energy-level diagram of O2 (16 electrons). Left and right columns are the 2s/2p at
Figure — Molecular-orbital energy-level diagram of O2 (16 electrons). Left and right columns are the 2s/2p at

The molecular orbital diagram of O2 correctly predicts both its bond order (2) and its paramagnetism (2 unpaired electrons) — something the simple Lewis/VBT picture of O2 fails to explain.

O2 has 16 electrons total (8 from each O atom). Filling the molecular orbitals in their standard energy order for O2 (which, unlike B2, C2, N2, does not need the σ2p/π2p reordering) gives the configuration:

σ1s2 σ1s2 σ2s2 σ2s2 σ2pz2 π2px2 = π2py2 π2px1 = π2py1

The two innermost 1s-derived MOs (σ1s, σ*1s) come from core electrons and contribute equally to bonding and antibonding character, effectively cancelling out, so they are typically excluded from the valence bond-order calculation.

Counting only the valence (n=2) MOs:

  • Bonding electrons: σ2s(2) + σ2pz(2) + π2px(2) + π2py(2) = 8
  • Antibonding electrons: σ2s(2) + π2px(1) + π*2py(1) = 4

Bond order = (Nbonding − Nantibonding)/2 = (8 − 4)/2 = 2, consistent with the O=O double bond.

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