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Problems · Problem 7.8

Q.Dioxygen is paramagnetic inspite of having even number of electrons. Explain.

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An even electron count does not force full pairing: O2_2's two highest-energy electrons occupy two DEGENERATE antibonding π∗\pi^{*} orbitals one each (Hund's rule), so dioxygen carries two unpaired electrons and is paramagnetic.

Step 1. Dioxygen is a covalently bonded molecule; its Lewis-type depictions (the book's Solution prints the electron-dot and the double-bonded O==O pictures) show every electron paired and so cannot account for the observed paramagnetism.

Step 2. Molecular orbital theory resolves this. Filling O2_2's electrons into molecular orbitals gives the electronic configuration:

KK σ(2s)2 σ∗(2s)2 σ(2pz)2 π(2px)2 π(2py)2 π∗(2px)1 π∗(2py)1\mathrm{KK\ \sigma(2s)^2\ \sigma^{*}(2s)^2\ \sigma(2p_z)^2\ \pi(2p_x)^2\ \pi(2p_y)^2\ \pi^{*}(2p_x)^1\ \pi^{*}(2p_y)^1} …

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