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Hi! If a compound has resonance (let's say it has bond lengths between a single bond and a double bond), would it have both a sigma bond and a pi bond just like a double bond would?
Resonance indicates the presence of delocalized electrons, which are, in fact, the pi bonds. The pi bonds in resonances structures are delocalized and travels between different pairs of two atoms. So to answer your question, yes there are pi and sigma bonds in molecules with resonances.
Yup, if the resonance structure still had the double bond then it would still have the sigma and pi bonds. The bonds would just be delocalized along with the electrons since resonance structures move them around.
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