Neutral has the ground configuration (the - ordering is reversed for relative to and…

PHYSICS · Multi-part · Fermi University Physics · Atomic, Molecular & Optical Physics · Molecular structure and spectra · Molecular structure and spectra

Deriving the Spectrum, Ch The Born-Oppenheimer separation and the chemical bond

Problem

Neutral N2\mathrm{N}_2 has the ground configuration σg2s2 σu∗2s2 πu2p4 σg2p2\sigma_g2s^2\,\sigma_u^*2s^2\,\pi_u2p^4\,\sigma_g2p^2 (the σg2p\sigma_g2p-πu2p\pi_u2p ordering is reversed for N2\mathrm{N}_2 relative to O2\mathrm{O}_2 and the heavier first-row diatomics), giving bond order 33 and no unpaired electrons. ((a)) Predict the electron configuration, bond order and magnetism of the ion N2+\mathrm{N}_2^+, formed by removing one electron from the highest occupied orbital of N2\mathrm{N}_2. ((b)) State whether the bond length of N2+\mathrm{N}_2^+ should be longer or shorter than that of N2\mathrm{N}_2, and why. ((c)) Would you expect the Born-Oppenheimer separation to be untrustworthy for N2+\mathrm{N}_2^+ near its equilibrium bond length, in the way it is near the NaCl\mathrm{NaCl} covalent-ionic crossing? Answer in one sentence, referring to the spacing of the relevant electronic energy levels.

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