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I read that alicyclic compounds are compounds that are both aliphatic and cyclic and i know that aliphatic compounds are acyclic while alicyclic compounds are cyclic but are there any other differences and similarities between them and what is exactly an aliphatic compound?

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Aromatic compounds (wiki) (about.com) (study.com) (chemguide) (khan)

Aromatic compounds are compounds that contain one or more aromatic rings.

Each aromatic ring, in its unsubstituted form, has the chemical formula $\ce{C_nH_n}$ (e.g. benzene), or with one or more of the $\ce{CH}$ groups replaced with an atom from Group V or Group VI, usually $\ce{N}$ (e.g. pyridine) or $\ce{S}$ (thiophene) or $\ce{O}$ (furan). They are usually stabilized by resonance.

Aliphatic compounds (wiki) (about.com) (study.com)

Aliphatic compounds are hydrocarbons (wiki, compounds containing only $\ce{C}$ and $\ce{H}$) which are not aromatic.

An example would be hexane (wiki).

Alicyclic compounds (wiki)

Alicyclic compounds are aliphatic compounds that contain one or more rings.

An example would be cyclohexene (wiki).

Gallery

Benzene, aromatic (courtesy Introduction to Organic Chemistry):

Benzene

Furan, aromatic (courtesy Wikipedia):

Furan

Cyclohexane, alicyclic (courtesy Jarad Chemicals):

Cyclohexane

Cyclohexene, alicyclic (courtesy Exporters India):

Cyclohexene

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