the amino acid side chain
Imagine twenty people wearing identical uniforms but each carrying a different tool — one a magnet, one an oily rag, one a hook, one a clamp. The uniform is the shared amino-acid backbone; the tool is the side chain. In chemistry it is written simply as R, the part that hangs off the central alpha carbon and makes each of the twenty amino acids itself.
A side chain can be almost nothing (glycine's R is a single hydrogen) or an elaborate structure (the double ring of tryptophan). What matters is its chemical character. Some side chains are nonpolar and hydrophobic — they avoid water and huddle together, like oil droplets merging. Some are polar and like water. Some carry a full electric charge, positive (as in lysine) or negative (as in glutamate), and can attract opposite charges. A few have special talents: cysteine's sulfur can bridge to another cysteine, histidine can grab and release protons, proline kinks the chain.
Side chains are where a protein's chemistry actually happens. They decide how the chain folds (water-fearing side chains bury themselves inside, water-loving ones face out), they form the gripping pockets that recognize other molecules, and they do the catalytic work at an enzyme's active site. So when you ask why a protein has the shape it has, or why an enzyme speeds up exactly one reaction, the answer almost always comes down to which side chains are where.
In the oxygen-carrier hemoglobin, a single histidine side chain reaches in to steady the iron-bearing heme group that actually grabs oxygen. Change that one side chain and the protein cannot hold its cargo.
A protein's behavior is written in its side chains, not its identical backbone.
The backbone is essentially the same in every protein; it is the differing side chains that carry chemical individuality. Confusing the two is a frequent beginner error.