Codex @codex  0

By Melvin A. Neuman, Trinh-Toan, Lawrence F. Dahl.

Journal of the American Chemical Society 94, 3383–3388. Original diffraction study: four bonded Fe vertices form a tetrahedron; four triply bridging carbonyl carbons form an interpenetrating tetrahedron.

Substrate-level phosphorylation forms ATP by enzyme-catalyzed transfer of a phosphate group from a phosphorylated substrate to ADP. In canonical glycolysis, two such transfers occur for each three-carbon route, giving four gross ATP per glucose. Unlike oxidative phosphorylation, these transfers do not require an electron transport chain.^[ref]

The pyruvate kinase example under Coupled-enzyme readout of glycolytic ATP formation separates the material transfer from its detection. A favourable coupled chemical reaction supplies the driving change in Gibbs free energy; the enzyme supplies a catalytic route. Counting ATP-forming transfers gives a gross yield, while subtracting upstream ATP use gives the net yield.

In chemical usage, sugars commonly means small carbohydrates, including single-unit monosaccharides and two-unit disaccharides. Glucose, ribose, and deoxyribose are monosaccharides. Cellulose is instead a polysaccharide assembled from many glucose units. The distinction counts chemically linked units; it does not classify every carbohydrate by sweetness or biological role. See Clark, Douglas and Choi, Biology 2e, 3.2: carbohydrates.

A useful first description of a monosaccharide asks how many carbon chemical atoms it contains and what its open-chain structure is. Ribose is an aldopentose, a five-carbon aldehyde sugar; glucose is an aldohexose, with six carbon chemical atoms. A Fischer projection then records the stereochemistry, information missing from the molecular formula. See McMurry, Organic Chemistry, 25.1: carbohydrate classification.

A positively charged three-coordinate sulfur centre. Cyclic sulfonium intermediates can transfer a neighbouring thioether attachment or render formerly distinct carbon paths equivalent.

A microstructure in which carbon redistribution and carbide formation reduce the supersaturation of a martensitic matrix. Plate or lath morphology can remain while local strain and thermodynamic phase composition evolve. The term describes a material state, not a universal guarantee of a particular toughness.

Author-written discussion of martensitic carbon supersaturation, carbide precipitation and microstructural evolution. www.phase-trans.msm.cam.ac.uk/2004/Tempered.Martensite/tempered.martensite.html

The 2-methylbutan-2-yl group, attached through its tertiary carbon.

A carbocation whose positively charged carbon is bonded to three carbon substituents.

In tetrahedral molecular geometry, four neighbouring chemical atoms surround a central chemical atom in the directions of the vertices of a tetrahedron. In the regular idealization, the central atomic nucleus lies at the centre of a regular tetrahedron, and every pair of chemical bonds makes the same bond angle. Methane, ${\mathrm{CH}}_4$, provides the standard example: its carbon has four bonding electron domains and no lone pair. See Chemistry 2e, §7.6: tetrahedral methane.

The exact ideal bond angle follows from four directions proportional to $(1,1,1)$, $(1,-1,-1)$, $(-1,1,-1)$, and $(-1,-1,1)$. Each has squared Euclidean norm $3$, and each distinct pair has dot product $-1$. HenceThis is a statement about a regular tetrahedron, rather than a universal exact value for every molecule labelled tetrahedral. It also explains why a cross-shaped flat drawing with $90^{\circ }$ gaps is misleading: four equal directions can spread out more evenly in three dimensions.

The same vectors sum to zero. Consequently, four equal bond-dipole contributions along those directions cancel. The symmetric methane molecule is nonpolar, but a tetrahedral shape alone does not imply a nonpolar molecule: replacing one neighbour can make the electronic distribution and bond contributions unequal. Chemical polarity depends on both molecular geometry and electron density. See McMurry, Organic Chemistry, §2.2: molecular dipoles and methane.

A four-membered cyclic sulfonium ion containing sulfur and three carbons. A bridged version with equivalent methylene paths can allow nucleophilic opening to restore either configuration at an initially stereogenic carbon.

A saturated three-membered ring containing sulfur and two carbons. Its strained carbon–sulfur bonds can undergo nucleophilic opening.

A three-membered ring containing a positively charged sulfur atom and two carbon atoms. Nucleophilic opening at carbon normally involves backside attack and cleavage of one sulfur–carbon bond.

Sequential ring opening, five-membered cyclic imidodithiocarbonate formation, cleavage and reclosure can exchange the thiirane sulfur with the thiocyanate sulfur. Backside substitution at both ring carbons reverses the thiirane face while leaving remote stereocentres intact.

A thiolate is $\mathrm{R}{\mathrm{S}}^{-}$, the conjugate base of a thiol. Its polarizable sulfur is often effective in conjugate addition. protonation of the resulting carbon anion can regenerate thiolate from another thiol molecule.

Conjugate addition of a thiol-derived sulfur nucleophile to an activated alkene. The sulfur substituent is installed at the beta carbon of an enone, not at its carbonyl carbon.

The hydrocarbon with a three-membered carbon ring and an exocyclic methylene double bond at each vertex. The ideal planar structure belongs to the D3h molecular point group.

A four-membered metallacycle containing titanium and three carbon atoms. Cycloreversion can exchange an alkene and a titanium alkylidene; other eliminations become available with suitable substituents.

A triose phosphate is a three-carbon sugar carrying a phosphate group. Glyceraldehyde 3-phosphate is one example. The Calvin cycle supplies a net triose phosphate for further carbohydrate synthesis. ^[ref].

A valence electron belongs to the electronic arrangement used to describe a chemical atom's chemical bonds and ordinary chemical reactions. For the neutral hydrogen, carbon, nitrogen, and oxygen chemical atoms used here, the valence electrons occupy the outermost occupied electron shell. Their respective electron configurations are $1s^1$, $1s^{2}2s^{2}2p^2$, $1s^{2}2s^{2}2p^3$, and $1s^{2}2s^{2}2p^4$, giving one, four, five, and six valence electrons. See Chemistry 2e, 6.4: electron configurations and valence electrons.

Lewis structures show these valence electrons while omitting the inner electrons. Consequently, eight drawn valence electrons in water do not mean eight total electrons: neutral water has ten, with two inner oxygen electrons omitted. Neutral ammonia likewise has ten total electrons but eight valence electrons; neutral carbon dioxide has twenty-two total electrons but sixteen valence electrons.

This distinction makes the small counts useful: connections and possible lone pairs can be organized without representing every electron or solving the entire many-electron wavefunction. The outermost-electron shell shortcut applies to the examples above, rather than serving as a universal definition for all chemical elements; the electronic arrangement relevant to chemical bonds can also involve other electron subshells.

The VSEPR model predicts approximate molecular geometry by arranging the electron domains around a central chemical atom to reduce their mutual repulsion. Start with a Lewis structure, count the domains, and then distinguish the resulting electron pair geometry from the positions of the chemical atoms themselves. A lone pair counts as a domain even though it is not another chemical atom.^[ref]

Three worked counts have the same total of eight valence electrons. In methane, carbon's four plus the contributions of four hydrogen chemical atoms give $4+4=8$: four bond pairs, no lone pairs, and tetrahedral molecular geometry. In ammonia, nitrogen's five plus three from hydrogen give $5+3=8$: three bond pairs and one lone pair, producing trigonal pyramidal molecular geometry. In water, oxygen's six plus two from hydrogen give $6+2=8$: two bond pairs and two lone pairs, producing bent molecular geometry. All three have four electron domains; their molecular geometries differ.

The regular tetrahedral directions can be represented by the unit vectorsEach pair has dot product $-1/3$, so the ideal bond angle is $\theta =\arccos (-1/3)\approx 109.47^{\circ }$. This is a geometric calculation, rather than a prediction that every four-domain molecule has that exact bond angle. Lone pairs and different kinds of chemical bonds distort the ideal arrangement; water's H–O–H angle is about $104.5^{\circ }$.^[ref]

The model is attractive because small-number bookkeeping produces a spatial prediction without first solving for every molecular orbital. Shape then helps explain chemical polarity and which hydrogen bond donor or hydrogen bond acceptor sites are accessible. It is a qualitative model, not a full calculation of the electronic energy or a universal solution for every chemical compound. Gillespie and Nyholm's 1957 review ^[ref] is a historical anchor for its development.