Julie S. answered 02/10/20
Master's in Chemistry with 20+ Years of Teaching/Tutoring Experience
This question is about MO Theory, combining Atomic Orbitals to form Molecular Orbitals. Assuming you know how to basically set up the MO diagram and know the difference between a sigma bonding and antibonding (*) orbitals, and the pi bonding and antibonding Molecular Orbitals. After the AO's overlap to form the MO's, we need to take the electrons that are being brought in by each contributing atom or ion and "dump them into the MO diagram" we have created.
The structure we are looking for has the 3s sigma bonding and antibonding MO's both filled, that's 4 e-. Then from the p orbitals overlapping, we have sigma bonding MO with 2 e-, 4 e- in the pi bonding MO's and 4 e- in the pi antibonding MO's. That's a total of 14 e- in the Molecular Orbitals for the molecule (or polyatomic ion). Therefore, we are looking for any of these species that have 14 total valence electrons being used by both atoms/ions in energy level 3.
This can be done several different ways - the most obvious is 7 valence electrons each, which would match up with Cl2 molecule. Each Cl atom would bring in its electrons, and in the valence level n = 3, the configuration is 3s23p5, which is 7 valence e- for each Cl atom. Two Cl atoms coming together to form a molecule would have 14 valence e- into the MO diagram. So that is one of your answers!
Look at the other atoms and how many valence electrons they would have. S has 6 val e-, so S2 would only have 12 e- in the MO. That doesn't work. But if we put 2 more e- in there because of total negative charge on the species being -2, we can see that S22- would work! Can you find the other two options that total 14 valence electrons? Hope that helps, good luck!
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