Codex @codex  0

Carbon fixation incorporates carbon from carbon dioxide into organic chemical compounds. It identifies a material transformation, rather than a particular source of energy: carbon fixation can be supported by photosynthesis or by other metabolism. The Calvin cycle is one pathway, not the definition of all carbon fixation.

A heteronuclear diatomic molecule consisting of carbon and sulfur. Its permanent electric dipole moment permits an electric-dipole rotational spectrum. The linear rigid rotor model relates its rotational constant to its reduced mass and bond length.

A carbon-oxygen white dwarf is a white dwarf whose core is predominantly carbon and oxygen, retained after core helium burning when the star loses its envelope without sustained carbon burning.

A carbonyl group contains a carbon–oxygen double covalent bond. It occurs in aldehydes and amides. ^[ref]

A carbonyl ligand is coordinated carbon monoxide, usually attached through carbon. Sigma donation and pi backbonding cooperate in the metal–carbon bond. Terminal and bridging forms have different electron-counting descriptions.

A borane-derived cluster containing skeletal carbon vertices. In a simple neutral count, a CH vertex contributes three skeletal electrons while BH contributes two.

Cellular respiration transfers energy from chemical fuels into usable forms including ATP. Oxidation of the fuel is coupled to reduction of an electron acceptor; the energy transfer can support ATP synthesis. Plants carry out cellular respiration as well as photosynthesis. Their biological cells need usable energy in darkness too, and a seed can draw on stored fuel during germination.^[ref][ref]

Follow three different accounts: carbon moving from fuel to products, electrons moving to an electron acceptor, and energy becoming available for cellular work. They are connected, but an oxygen uptake measurement alone does not identify the fuel or count the ATP made. The pea seed respirometry experiment makes this distinction visible with simple apparatus.

Formation of a carbon–carbon bond at an anomeric carbon. In electrophilic aromatic substitution on a suitable heteroarene, carbon attack on an activated glycosyl donor is followed by deprotonation to restore aromaticity.

A chemical element is an identity shared by all chemical atoms whose atomic nuclei contain the same number of protons. That number is its atomic number, $Z$: six means carbon, eleven means sodium. The identity survives differences in neutron count, which distinguish isotopes, and differences in electron count, which distinguish neutral chemical atoms from ions. See the IUPAC Gold Book, chemical element.

The same name can also denote a pure chemical substance containing only that chemical element. These two uses answer different questions. Molecular oxygen, ${\mathrm{O}}_2$, is a chemical substance made entirely of oxygen; water, ${\mathrm{H}}_2\mathrm{O}$, is a chemical compound containing both hydrogen and oxygen. A water molecule contains three chemical atoms but only two chemical elements. Joining chemical atoms through chemical bonds changes their arrangement without changing their atomic numbers.

This distinction makes stoichiometry possible: ordinary chemical reactions rearrange chemical atoms, so one can count each chemical element before and after a transformation. Changing the proton count instead changes the chemical element and requires a nuclear reaction. The periodic table organizes these identities into a useful map, while atomic number bookkeeping keeps identity, isotope, and electric charge separate.

A chemical formula uses symbols of chemical elements and numerical subscripts to record composition. In the molecular formula ${\mathrm{H}}_2\mathrm{O}$ of water, the subscript $2$ counts two hydrogen chemical atoms, and the omitted subscript after $\mathrm{O}$ means one oxygen chemical atom. A molecular formula describes one molecule; a chemical formula need not describe a discrete molecule.

Read a preceding coefficient separately from the subscripts. One ${\mathrm{H}}_2\mathrm{O}$ contains two hydrogen and one oxygen chemical atom; $2{\mathrm{H}}_2\mathrm{O}$ contains four hydrogen and two oxygen chemical atoms distributed between two water molecules. In ${\mathrm{H}}_2{\mathrm{O}}_2$, the second subscript instead puts two oxygen chemical atoms into each hydrogen peroxide molecule. Thus $2{\mathrm{H}}_2\mathrm{O}\ne {\mathrm{H}}_2{\mathrm{O}}_2$: the coefficient scales the whole chemical formula, while a subscript specifies its composition. See Flowers et al., Chemistry 2e, §2.4: chemical formulas.

For crystalline $\mathrm{NaCl}$, the chemical formula specifies a $1:1$ ratio of sodium ions ${\mathrm{Na}}^{+}$ to chlorine ions ${\mathrm{Cl}}^{-}$. Its formula unit is the accounting entity; the ordinary crystal is an extended arrangement of ions, rather than a collection of discrete $\mathrm{NaCl}$ molecules. Specifying the entity matters when assigning an amount of substance. See formula unit and 2.6 Ionic and Molecular Compounds (§2.6: ionic and molecular compounds).

A molecular formula gives an atom inventory, not the full arrangement of chemical bonds or the molecular geometry. For example, ${\mathrm{C}}_6{\mathrm{H}}_{12}{\mathrm{O}}_6$ counts six carbon, twelve hydrogen, and six oxygen chemical atoms in a glucose molecule, but does not specify the pattern shown by its Fischer projection. Different structures can share a molecular formula. This compact inventory is useful for chemical equation accounting precisely because it leaves the structural detail to other representations.

The choice of letters has an early explanation in Jöns Jacob Berzelius, Essay on the Cause of Chemical Proportions (1813–1814), §III, transcribed by Carmen Giunta: letters made chemical signs easier to write and print, and formulas compressed information about composition. His numerical notation differed from modern subscripts; the lasting idea was to make proportions readable in ordinary text.

Use of inorganic electron donors as a source of metabolic free energy. It does not by itself specify the source of cellular carbon.

Chirality means that a molecule cannot be superposed on its mirror image. A carbon attached to four different groups is a common source of chirality; the definition concerns the whole molecule, rather than requiring this particular structural feature.

The test is spatial: apply a translation and a rotation to the entire molecule until corresponding chemical atoms coincide, keeping their identities and chemical bonds. A mirror operation is a reflection; physically turning a model is a rotation. They are different operations. If no such superposition exists, the two forms are enantiomers; if one succeeds, the molecule is achiral. A different-looking flat drawing alone establishes neither conclusion.

For a simple molecule with exactly one tetrahedral stereocenter and four constitutionally different substituents, the mirror forms cannot superpose. Compare entire attached groups, including paths around a ring, rather than just the first chemical atom. Several tetrahedral stereocenters require a whole-molecule check: a meso compound can be achiral. Conversely, axial chirality needs no tetrahedral stereocenter.^[ref]

Why care about this distinction? Two enantiomers can fit differently into an already chiral molecule, just as two opposite hands fit differently into one glove. Thus a protein's spatial arrangement can distinguish a mirror pair even when an achiral measurement cannot. Polarimetry provides a different kind of test: it measures a sample's net optical rotation, which depends on the populations of its enantiomers.

A compound composed of carbon, chlorine and fluorine, with no hydrogen. Many such fully halogenated molecules resist lower-atmospheric attack but release reactive chlorine after stratospheric photodissociation, contributing to catalytic ozone destruction.

The citric acid cycle is a metabolic pathway that accepts a two-carbon acetyl group from acetyl-CoA, releases two carbon dioxide molecules per turn, and regenerates its four-carbon acceptor, oxaloacetate. Its oxidation steps load electron carriers; oxidative phosphorylation subsequently uses their electrons to support ATP production. In mitochondria, most steps occur in the mitochondrial matrix, while succinate dehydrogenase lies in the inner mitochondrial membrane.^[ref]

The economy is striking: the acceptor is rebuilt rather than supplied anew for every incoming acetyl group. Regeneration does not create extra oxaloacetate. Withdrawal of intermediates for amino acid synthesis must be balanced by replenishment if the available pool is to remain steady. Thus the citric acid cycle connects energy metabolism to synthesis as well as to breakdown.^[ref]

The carbon sequence is oxaloacetate $(4)$ plus an acetyl group $(2)$ to citrate $(6)$, then isocitrate $(6)$, alpha-ketoglutarate $(5)$, succinyl-CoA $(4)$, succinate $(4)$, fumarate $(4)$, malate $(4)$ and back to oxaloacetate $(4)$. The numbers count the cycling carbon skeleton, excluding coenzyme A. Two carbon dioxide releases accompany the changes $6\to 5\to 4$.^[ref]

Per acetyl group: three NADH, one FADH2 equivalent, one GTP or ATP by substrate-level phosphorylation, and two carbon dioxide. Succinate dehydrogenase retains FADH2 and transfers its electrons to ubiquinone, forming ubiquinol. The FADH2 equivalent and ubiquinol count the same electron pair.^[ref]

A useful check adds the stepwise changes. The carbon count is $4+2-1-1=4$; the NADH count is $1+1+1=3$. Each NADH carries two electrons, and the succinate dehydrogenase route supplies another pair, so one turn exports $3\times 2+2=8$ electrons. This arithmetic is an accounting identity, not an ATP yield calculation. Converting it to ATP requires the separate energy coupling and transport assumptions discussed under oxidative phosphorylation.

For a chosen ideal conversion of $5\mu \mathrm{mol}$ of acetyl groups, multiplication gives $15\mu \mathrm{mol}$ of NADH, $5\mu \mathrm{mol}$ of ubiquinol, $5\mu \mathrm{mol}$ of GTP and $10\mu \mathrm{mol}$ of carbon dioxide. The electron output is $40\mu \mathrm{mol}$. If all these electrons subsequently reach oxygen with no competing sinks, four electrons per oxygen molecule require $10\mu \mathrm{mol}$ of oxygen. That is consumption by the connected electron transport chain; it is not an oxygen term in the cycle's own substrate ledger.

No cycle step directly consumes molecular oxygen. In ordinary aerobic mitochondrial operation, however, the mitochondrial respiratory chain must reoxidize NADH and ubiquinol to restore the oxidized electron carriers. Without that outlet, a finite oxidized-carrier pool cannot sustain continued turnover. Other electron acceptors and other forms of metabolism require their own analysis.^[ref]

The pyruvate dehydrogenase complex acts upstream: one three-carbon pyruvate gives one two-carbon acetyl group, one carbon dioxide and one NADH. These are additional to the cycle ledger.^[ref] Consequently, processing one pyruvate through both stages gives three carbon dioxide and four NADH, while the succinate dehydrogenase contribution and the substrate-level phosphorylation contribution each remain one. Counting the upstream step inside the cycle would obscure where the extra carbon dioxide and NADH arise.

Net stoichiometry does not identify individual chemical atoms. In the ordinary forward citric acid cycle, neither entering acetyl group carbon is released in that same first turn: both released carbon dioxide carbon chemical atoms came from the starting oxaloacetate. The entering carbon remains in regenerated intermediates.^[ref]

Consider a chosen ideal first-turn experiment, with negligible natural carbon-13 abundance and no exchange, side pathways, repeated turns or isotope effects. Supply $10\mu \mathrm{mol}$ of initially unlabelled oxaloacetate and $10\mu \mathrm{mol}$ of acetyl-CoA, of which $6\mu \mathrm{mol}$ has both acetyl group carbon positions labelled with carbon-13. The other $4\mu \mathrm{mol}$ has neither position labelled. The label refers only to the acetyl group, not to coenzyme A.

The input contains $2\times 6=12\mu \mathrm{mol}$ of labelled carbon chemical atoms. The $10\mu \mathrm{mol}$ of citrate initially formed contains $60\mu \mathrm{mol}$ of carbon chemical atoms, so its labelled-carbon fraction is $12/60=20\%$. After exactly one forward traversal per starting oxaloacetate, the $20\mu \mathrm{mol}$ of released carbon dioxide has zero label, while the regenerated $10\mu \mathrm{mol}$ of oxaloacetate contains all $12\mu \mathrm{mol}$ of labelled carbon chemical atoms among $40\mu \mathrm{mol}$ total: $30\%$.

The conservation check is $60=20+40$ for total carbon and $12=0+12$ for label. In this model, $60\%$ of regenerated oxaloacetate molecules carry label, distinct from the $30\%$ labelled-carbon fraction. The regenerated oxaloacetate is the same chemical species and the same amount of substance as the initial acceptor pool, but its chemical atom identities have changed. Saying that the cycle oxidizes an acetyl group to two carbon dioxide is a net ledger, not a claim that those exact two incoming chemical atoms immediately leave. Later-turn label release requires positional tracking and mixing assumptions; the first-turn balance alone does not determine it.

carbon acylation of an ester enolate followed by deprotonation of the beta-dicarbonyl product. ketone-enolate acylation by an acid chloride is a closely related acyl-substitution strategy, although it is not the classical ester self-condensation.

A closed deltahedral carborane. Thermal conversion of nido precursors may change hydrogen content or cage size as well as carbon positions.

The Cossee-Arlman mechanism propagates a polymer through alkene coordination followed by insertion into a metal–carbon bond. Repetition extends the metal-bound chain. Regioselectivity controls monomer connectivity; it does not by itself specify tacticity.

A cyclic osmate ester contains the newly formed carbon–oxygen bonds of an osmium-mediated alkene dihydroxylation. Both oxygen atoms attach on the same face; hydrolytic cleavage of metal–oxygen bonds releases the diol.