catenation
/ kat-uh-NAY-shun /
Imagine snapping LEGO bricks together: one brick joins to the next, which joins to the next, and you can keep going until you have a chain or a ring of any shape you like. Catenation is exactly that ability in atoms — the ability of an element to bond to more atoms of itself, again and again, into chains and rings. Carbon is the undisputed champion of catenation, and that single talent is why organic chemistry has millions of compounds instead of a tidy short list.
The word comes from the Latin 'catena', a chain. In practice it means a carbon can bond to one, two, three or four other carbons, each of which can bond to still more, so molecules grow without any natural stopping point. A chain might be two carbons (ethane) or thousands (polyethylene plastic); it can branch, or close into a ring (as in cyclohexane), or contain double and triple bonds along the way. Each carbon still obeys its four-bond rule; catenation simply means it can spend those bonds on its own kind.
Catenation matters because it is the source of organic chemistry's variety. The same atoms strung in different orders give entirely different substances, which is why constitutional isomers exist and why life can encode information in long carbon-based polymers. Carbon catenates so well because the carbon-carbon bond is strong and the resulting molecules resist attack by air and water; other elements can catenate a little (sulfur, silicon) but their chains are short and fragile by comparison, which is precisely why they did not get a branch of chemistry named after them.
Octane, the C8 chain in gasoline (CH3-CH2-CH2-CH2-CH2-CH2-CH2-CH3), and the ring of cyclohexane both show catenation; polyethylene takes it to the extreme, joining tens of thousands of carbons into one plastic molecule.
Straight chains, rings and giant polymers — all the same trick: carbon bonding to carbon.
Catenation is a property of the element, not a reaction you do. Carbon's supremacy here is one of degree, not kind: other elements catenate too, but their chains are short and unstable by comparison.