My professor emphasizes the concept of the carboxylate "cage" or the idea that electrons participate in resonance within a carboxylate group such as in the benzoate anion but the electrons in the carboxylate group cannot leave this "cage" - i.e. participate in resonance with the phenyl substituent.
Is this idea valid?
I've already poked a hole into it by pointing out that electron donation to the "cage" is possible - i.e. consider carbonic acid with one hydroxyl group replaced by oxygen connected to a phenyl group. Valid resonance structures can be drawn in which electron density from the oxygen in the ester linkage participates in resonance with the electrons "in" the carboxylate group. So donation into the "cage" is possible. Now, this begs the question - is withdrawal from the cage possible as well? He insists no. Now, he might be hiding some edge cases for pedagogical purposes, but I don't care - if there is an exception - I want to know about it (because chemistry always gets interesting at the exceptions).
Answer
If I understand correctly, then I think your professor is correct.
within a carboxylate group such as in the benzoate anion
If it is phenyl carboxylate that we are discussing, then I think your professor is saying the same thing I wrote here. Namely, that the carboxylate anion (O-C-O with a negative charge) is analogous to the allyl system, and with 4 pi electrons $\ce{\Psi_2}$ is the HOMO. In the allyl system (and to a first approximation in this dioxallyl analogue) $\ce{\Psi_2}$ has a node (a "0" coefficient) at $\ce{C_2}$ (the central carbon atom). If there truly is a zero or very small coefficient at $\ce{C_2}$, then the substituent connected to $\ce{C_2}$ (your benzene ring) is effectively disconnected from the system and cannot interact with the MO via resonance.
In your drawing up above, you have not drawn a carboxylate anion, rather you've drawn an un-ionized acid. In this molecule there is no carboxylate anion, no dioxallyl system and no $\ce{\Psi_2}$ with a node at $\ce{C_2}$. In this molecule, resonance interaction between the phenyl substituent and the carbonyl carbon is possible.
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