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An amino acid combines carboxylic acid and amine functionality in the same molecule; the name alone does not specify their separation. An alpha-amino acid has its amino nitrogen attached to the carbon immediately adjacent to the carboxyl carbon, the amino acid alpha carbon. For example, ${\mathrm{H}}_2\mathrm{N}-\mathrm{C}{\mathrm{H}}_2-\mathrm{COOH}$ is glycine, whereas ${\mathrm{H}}_2\mathrm{N}-\mathrm{C}{\mathrm{H}}_2-\mathrm{C}{\mathrm{H}}_2-\mathrm{COOH}$ has an extra intervening carbon and is not an alpha-amino acid. These chemical formulas describe connectivity, not the predominant protonation state in water.

Most common proteinogenic amino acids share the skeleton ${\mathrm{H}}_2\mathrm{N}-\mathrm{CH}(R)-\mathrm{COOH}$, with $R$ the amino acid side chain. In glycine, $R$ is hydrogen; in alanine, $R=\mathrm{C}{\mathrm{H}}_3$. Proline is a useful exception to the displayed primary-amine skeleton: its amino nitrogen is part of a ring and has a second carbon substituent. The shared backbone permits assembly into polypeptides, while different amino acid side chains give the resulting proteins diverse chemistry. ^[ref]

In a chemical solution, protonation changes the electric charges without changing this backbone. Free glycine near neutral pH is predominantly ${\mathrm{H}}_3{\mathrm{N}}^{+}-\mathrm{C}{\mathrm{H}}_2-\mathrm{CO}{\mathrm{O}}^{-}$, a zwitterion. Its positive and negative groups are joined within one molecule; zero net electric charge does not mean absence of local electric charges, nor does it mean the uncharged drawing ${\mathrm{H}}_2\mathrm{N}-\mathrm{C}{\mathrm{H}}_2-\mathrm{COOH}$ predominates. Glycine protonation explains how lowering or raising pH changes the balance. ^[ref]

Building a protein joins the carboxyl carbon of one amino acid to the amino nitrogen of another through a peptide bond, an amide linkage. The formal net condensation loses the elements of water; cellular translation uses activated substrates at a ribosome, rather than simply mixing free amino acids in water. Incorporated units are amino acid residues. The interior amide groups no longer have the same acid/base behavior as the two free terminal groups of glycine, so its free-molecule glycine titration cannot be copied independently at every chain position. ^[ref]

Chirality distinguishes most common proteinogenic amino acids from glycine. The other nineteen members of the conventional twenty have a stereocenter at their amino acid alpha carbon; ordinary translation incorporates their L forms. Glycine's two identical hydrogen substituents make it achiral. Thus being an amino acid, or even an alpha-amino acid, does not by itself imply chirality. ^[ref]

The amino acid alpha carbon is the backbone carbon carrying the amino acid side chain in the usual protein amino acid residue. Marking successive amino acid alpha carbons is a useful way to trace a polypeptide chain, but omits intervening backbone chemical atoms. See Clark, Douglas and Choi: the central alpha carbon.

An amino acid side chain is the variable group attached to an amino acid alpha carbon, conventionally denoted $R$. For alanine it is $\mathrm{C}{\mathrm{H}}_3$: a carbon bonded to three hydrogen chemical atoms. In a beta strand, successive amino acid side chains alternate between the two faces in the idealized arrangement. See Clark, Douglas and Choi: amino-acid R groups.

A beta sheet consists of extended stretches of protein backbone lying alongside one another, joined by backbone hydrogen bonds. The stretches can belong to different portions of the same polypeptide chain or to different chains.

Each extended stretch is a beta strand. Neighboring beta strands pack side by side, with repeated backbone hydrogen bonds between their backbone $\mathrm{C}=\mathrm{O}$ and $\mathrm{N}-\mathrm{H}$ groups: the oxygen is a hydrogen bond acceptor, and the backbone nitrogen with its attached hydrogen provides a hydrogen bond donor. These are interactions of the shared protein backbone, not merely contacts between amino acid side chains. Unlike an alpha helix, a beta sheet joins adjacent extended stretches rather than coiling one stretch around an axis. See Clark, Douglas and Choi, Biology 2e, 3.4: backbone groups in secondary structure.

Read each beta strand in the sequence direction from the N-terminus toward the C-terminus, even when it is an internal part of a longer polypeptide chain. In a parallel beta sheet, neighboring beta strands run in the same N→C direction; in an antiparallel beta sheet, they run in opposite N→C directions. A three-strand example can therefore have arrows right–right–right or right–left–right. A beta sheet can also mix the two arrangements. Direction does not identify chain membership: a single polypeptide chain can fold back to supply several beta strands, and different polypeptide chains can contribute to one beta sheet. See Alberts et al., Molecular Biology of the Cell: beta-sheet strand arrangements.

The pleated appearance comes from the geometry of the protein backbone. Successive amino acid residues carry amino acid side chains on alternating faces of an ideal beta strand, conventionally drawn above and below the sheet. The attachment positions are the amino acid alpha carbons. Thus a six-position cartoon has groups 1, 3 and 5 on one face and 2, 4 and 6 on the other. This alternation is a spatial pattern, not a rule that alternating positions must contain identical amino acids. See Clark, Douglas and Choi: side chains above and below the pleats.

Real beta sheets commonly twist and curve; pleating does not make them perfectly flat plates. Which beta strands are neighbors, how connecting regions join them, and how their faces pack are features of the three-dimensional protein structure. An alternating pattern in the protein primary structure alone neither establishes a beta sheet nor specifies a unique fold independently of surroundings and interacting molecules. See Breda et al., Protein Structure, Modelling and Applications: extended strands, sheet twist and three-dimensional organization and protein folding.

Why this arrangement is useful: repeated backbone hydrogen bonds organize extended chain regions into a framework that can contribute to the interior of a folded protein. Amino acid side chains and connecting loops give that framework chemical variety and can shape a protein binding site for a ligand. Its attractive feature is the combination of a reusable backbone pattern with variable exposed groups: similar beta sheets can support different recognition surfaces. See Alberts et al.: beta-sheet cores and loops that form binding sites.

Historically, Linus Pauling and Robert B. Corey published The Pleated Sheet, a New Layer Configuration of Polypeptide Chains in PNAS 37, 251–256 (1951). They reasoned from peptide bond geometry and possible backbone hydrogen bonds, proposing an idealized layer rather than measuring every modern beta sheet. Their initial model should not be identified with all present-day beta sheet geometries; they published further pleated-sheet configurations later in 1951. See Pauling and Corey: original 1951 paper and scan, ^[ref], and Pauling and Corey, Configurations of Polypeptide Chains With Favored Orientations Around Single Bonds: Two New Pleated Sheets, PNAS 37, 729–740 (1951).

Enantiomers are a pair of nonsuperposable mirror-image molecules. The D and L configurations of alanine are an example; glycine has no such pair because its amino acid alpha carbon carries two identical hydrogen chemical atoms. ^[ref]

The word names a relation between two stereoisomers. Merely finding two different spatial arrangements does not make them enantiomers: arrangements that are different but not mirror partners are diastereomers.

Take a central chemical atom at the origin and four substituents at the vertices of an ideal regular tetrahedron:These dimensionless coordinates describe shape, not measured bond lengths. For distinct labels A, B, C and D, define a signed determinantIt is six times the oriented volume of the labelled tetrahedron. A translation cancels from the differences. A rotation $Q$ has $\det Q=+1$ and preserves $\Delta$, whereas the mirror matrix $S=\mathrm{diag}(-1,1,1)$ has $\det S=-1$ and changes it to $-16$. Consequently no rotation can place every distinct label on its mirror partner. This argument uses three-dimensional coordinates, not clockwise order on a page.

Now let C and D both be the same substituent H. Swapping these identical groups is allowed. For this model the half-turnabout the axis $(0,1,1)$ maps the reflected A and B to their original positions and exchanges the two H positions. The models superpose. With distinct C and D, the same half-turn fails precisely at those two labels; the determinant argument rules out every other rotation as well. This is the local reason two identical hydrogen chemical atoms prevent glycine's amino acid alpha carbon from being a tetrahedral stereocenter.

For a flexible molecule, also distinguish conformational isomerism from a persistent enantiomer pair. A particular frozen shape may be chiral while ordinary internal motions interconvert mirror shapes. Turning the entire model is always allowed in a spatial comparison; an internal motion must be considered with its actual accessibility and timescale.