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In addition, if you focus on the valence electrons, there would be 8 electrons for C2- while there would only be 4 electrons for C2+. Therefore, the 8 electrons would fill up both outer orbitals, the s and p orbitals, while for C2- it would only fill up the 1s orbital and have 2 electrons in the 2s orbital. Therefore, C2- has a stronger bond as it is more stable and harder to pull an electron away from it.
You would need to draw the molecular orbital diagram with bonding and anti-bonding orbitals. We have not covered this yet, but the rule is that you have more stability if more electrons are in the bonding orbitals than the anti-bonding orbitals.
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