One of the most valuable properties that allows the 1H-NMR spectrum to give structural information is spin-spin coupling, which is caused by spin coupling between hydrogen nuclei that are not chemically identical. Different spin states interact through chemical bonds in a molecule to give rise to this coupling, which occurs when a nucleus being examined is disturbed or influenced by a nearby nuclear spin. In 1H-NMR spectra, this effect is shown through peak splitting that can give direct information concerning the connectivity of atoms in a molecule.

My question is, in which case would this coupling not occur, despite the symmetry?

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