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What are conjugated and unconjugated carbonyl groups?
A conjugated carbonyl group has a ##"C=C"## double bond adjacent to it; an unconjugated carbonyl group has no adjacent double bond.
Examples of unconjugated carbonyl are propanal and propanone.
Typical conjugated (or α,β-unsaturated) carbonyl compounds are propenal
In addition to a normal ##"C=O"## contributor, an α,β-unsaturated carbonyl compound has another contributor with a positive charge on the β-carbon.
It can be attacked by nucleophiles at either the β-carbon or the carbonyl carbon.
Note that the product of 1,4-addition is an enol that will tautomerize to the more stable carbonyl compound.