Final answer:
The reduction of ONNO to form N₂O₂²⁻ would likely increase the N-N bond length and decrease the N-O bond lengths, reflecting the changes in bonding interactions caused by the added electrons. The N₂O₂²⁻ ion would have equal N-O bond lengths and a symmetric structure, resulting in a zero dipole moment.
Step-by-step explanation:
When the symmetric dimer ONNO is reduced by two electrons to form N₂O₂²⁻, the N-N bond length is expected to increase, while the N-O bond lengths would likely decrease. This prediction is based on the electrons' reduction causing a change in the bonding. Upon reduction, the additional electrons would likely occupy antibonding orbitals, thereby weakening the N-N bond, leading to an increase in bond length. In contrast, additional electrons in N-O π* antibonding orbitals would decrease the bond order, making these formerly double bonds resemble more like 1.5 bonds, hence shortening these bonds compared to the oxidized form.
Drawing the N₂O₂²⁻ ion with a dipole moment of zero involves showing two NO⁻ units joined by two shared electrons. Each of the NO⁻ units would have a bond order of 1.5 to reflect equal N-O bond lengths, resonating between single and double bonded structures. Such a structure would be symmetric, canceling out any possible dipole moments across the molecule.