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(A) To determine aromaticity, a compound must be cyclic, planar, fully conjugated, and follow $H$ückel's rule ($4n+2$ $\pi$ electrons, where $n=0, 1,

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$a, c, d, e, h$ are aromatic and $b, f, g$ are not aromatic

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(A) To determine aromaticity, a compound must be cyclic, planar, fully conjugated, and follow $H$ückel's rule ($4n+2$ $\pi$ electrons, where $n=0, 1, 2, ...$).$(a)$ Cyclopentadienyl anion: $6$ $\pi$ electrons $(n=1)$, aromatic.$(b)$ Cyclopentadienyl cation: $4$ $\pi$ electrons ($n=1$, anti-aromatic), not aromatic.$(c)$ Cyclobutadiene dication: $2$ $\pi$ electrons $(n=0)$, aromatic.$(d)$ Cyclobutadiene dianion: $6$ $\pi$ electrons $(n=1)$, aromatic.$(e)$ Tropylium cation: $6$ $\pi$ electrons $(n=1)$, aromatic.$(f)$ Cyclooctatetraene: $8$ $\pi$ electrons (non-planar), not aromatic.$(g)$ Cyclobutadiene: $4$ $\pi$ electrons (anti-aromatic), not aromatic.$(h)$ Cyclopropenyl cation: $2$ $\pi$ electrons $(n=0)$, aromatic.Thus, $a, c, d, e, h$ are aromatic and $b, f, g$ are not aromatic.

Determine whether each of the following compounds is aromatic or not aromatic.

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