Carbon & Bonding
The foundation of all organic chemistry — why carbon is unique, how it forms four bonds, and the electronic nature of covalent bonding that underlies all reactivity.
Organic chemistry is the study of compounds containing carbon. With over 20 million known compounds, it is the largest branch of chemistry. Carbon's uniqueness stems from its ability to form four stable covalent bonds, bond with itself in chains and rings of arbitrary length, and create bonds of varying geometry — giving rise to an incomparable molecular diversity.
Carbon's Electronic Structure
Carbon (atomic number 6) has the electron configuration 1s² 2s² 2p². In its ground state, it appears to form only two bonds, but in its excited state one electron from the 2s orbital promotes to an empty 2p orbital, yielding four unpaired electrons ready to bond. This is followed by hybridization — the mathematical mixing of atomic orbitals into new hybrid orbitals.
Hybridization
Hybridization explains the geometry of carbon compounds. The three types create radically different molecular shapes and reactivities:
| Type | Orbitals Mixed | Geometry | Bond Angle | Example |
|---|---|---|---|---|
| sp³ | 1s + 3p ? 4 sp³ | Tetrahedral | 109.5° | Methane (CH4) |
| sp² | 1s + 2p ? 3 sp² | Trigonal planar | 120° | Ethene (CH2=CH2) |
| sp | 1s + 1p ? 2 sp | Linear | 180° | Ethyne (HC=CH) |
Bond Polarity & Electronegativity
Covalent bonds between atoms of different electronegativity are polar — the electron density is unequally shared. Carbon–oxygen and carbon–nitrogen bonds are polar because O and N are significantly more electronegative than C. These polar bonds are the sites of chemical reactivity in most organic molecules.
Structural Representation
Organic chemists use several conventions to draw structures efficiently:
Functional Groups
Functional groups are the reactive atoms or groups of atoms in organic molecules. They determine chemical reactivity, physical properties, and biological activity.
A functional group is a specific arrangement of atoms within a molecule that confers characteristic chemical properties. While the carbon skeleton is relatively inert, functional groups are the sites of chemical transformation. Recognizing functional groups is the single most important skill in organic chemistry.
The Major Functional Groups
Priority & Nomenclature (IUPAC)
When naming organic compounds, the principal characteristic group (highest priority functional group) determines the suffix and parent chain. The IUPAC priority order for common groups:
| Priority | Group | Suffix | Example |
|---|---|---|---|
| 1 (highest) | Carboxylic acid (–COOH) | -oic acid | Ethanoic acid |
| 2 | Ester (–COO–) | -oate | Ethyl ethanoate |
| 3 | Amide (–CONH2) | -amide | Ethanamide |
| 4 | Aldehyde (–CHO) | -al | Ethanal |
| 5 | Ketone (C=O) | -one | Propanone |
| 6 | Alcohol (–OH) | -ol | Ethanol |
| 7 | Amine (–NH2) | -amine | Ethanamine |
Stereochemistry
The three-dimensional arrangement of atoms in space — chirality, enantiomers, diastereomers, and why spatial configuration matters profoundly in biology and medicine.
Stereochemistry is the study of the spatial arrangements of atoms in molecules and how these arrangements influence physical, chemical, and biological properties. Two molecules can have identical molecular formulas and connectivity yet be entirely different compounds — because their atoms are arranged differently in three-dimensional space.
Chirality and Stereocenters
A molecule is chiral if it is non-superimposable on its mirror image — like a left hand and a right hand. The most common source of chirality is a stereocenter (or chiral center): a carbon atom bearing four different substituents. The two mirror-image forms are called enantiomers.
R/S Configuration (CIP Rules)
The Cahn-Ingold-Prelog (CIP) system assigns an R or S designation to each stereocenter using priority rules based on atomic number:
Types of Stereoisomers
| Type | Definition | Optical Activity | Physical Props |
|---|---|---|---|
| Enantiomers | Non-superimposable mirror images | Opposite rotation (+/-) | Identical except optical rotation |
| Diastereomers | Stereoisomers that are not mirror images | May differ | Different (bp, mp, solubility) |
| Meso compounds | Chiral centers but internal mirror plane | Optically inactive | Single compound |
| Racemic mixture | 50:50 mixture of enantiomers | Zero net rotation | May differ from pure enantiomer |
| Cis/trans isomers | Restricted rotation (ring or C=C) | May be chiral or not | Different physical properties |
Maximum Stereocenters Formula
Alkanes & Alkenes
From the inert stability of saturated hydrocarbons to the rich reactivity of the carbon-carbon double bond — addition, elimination, and oxidation reactions.
Alkanes (C?H2??2) are fully saturated hydrocarbons. Their C–C and C–H s bonds are strong and largely non-polar, making alkanes relatively unreactive — they undergo radical halogenation and combustion but little else. Alkenes (C?H2?), with their nucleophilic p bonds, are far more reactive and serve as key synthetic starting materials.
Alkane Reactions
Alkene Addition Reactions
The p electrons of alkenes are electron-rich, making them react as nucleophiles toward electrophiles. Addition reactions break the p bond and add atoms across the double bond — the carbon skeleton remains intact but gains new substituents.
Elimination Reactions
Elimination is the reverse of addition — atoms are removed across adjacent carbons to form a p bond. E2 (bimolecular, concerted) and E1 (unimolecular, stepwise) are the two main mechanisms. Zaitsev's rule predicts that the major product has the more substituted (more stable) alkene.
Aromatic Chemistry
The exceptional stability of benzene, Hückel's rule, and the powerful electrophilic aromatic substitution reactions that define aromatic synthesis.
Aromatic compounds possess a cyclic, planar, conjugated p system with 4n+2 p electrons (Hückel's rule) that confers extraordinary thermodynamic stability — the aromatic stabilization energy. Benzene (6 p electrons, n=1) is the prototypical aromatic compound. Unlike alkenes, aromatics undergo substitution (not addition) — to preserve aromaticity.
Hückel's Rule
Electrophilic Aromatic Substitution (EAS)
EAS is the dominant reaction type for benzene and substituted aromatics. An electrophile attacks the electron-rich aromatic ring, forming a arenium ion (Wheland intermediate) that loses a proton to restore aromaticity.
Common EAS Reactions
Directing Effects of Substituents
| Substituent | Effect | Directs to | Examples |
|---|---|---|---|
| –OH, –OR, –NH2 | Strongly activating | ortho / para | Phenol, anisole, aniline |
| –R (alkyl) | Weakly activating | ortho / para | Toluene, ethylbenzene |
| –X (halogens) | Weakly deactivating | ortho / para | Chlorobenzene, bromobenzene |
| –NO2, –CN, –CHO | Strongly deactivating | meta | Nitrobenzene, benzonitrile |
| –COOH, –SO3H | Strongly deactivating | meta | Benzoic acid |
Nucleophilic Substitution
SN1 and SN2 — the two fundamental mechanisms by which nucleophiles displace leaving groups at sp³ carbon centers, with profound stereochemical consequences.
Nucleophilic substitution reactions involve a nucleophile (electron pair donor) attacking a carbon bearing a leaving group. Two mechanisms operate depending on substrate structure, nucleophile strength, solvent, and temperature. Understanding when each mechanism operates is central to designing efficient synthetic routes.
SN2 — Bimolecular Nucleophilic Substitution
SN1 — Unimolecular Nucleophilic Substitution
Comparison Table
| Factor | SN2 | SN1 |
|---|---|---|
| Mechanism | Concerted (1 step) | Stepwise (2+ steps) |
| Rate law | Rate = k[Nu][substrate] | Rate = k[substrate] |
| Substrate | Methyl, 1°, (2°) | 3°, (2°), allylic, benzylic |
| Nucleophile | Strong required | Weak acceptable |
| Solvent | Polar aprotic (DMSO, DMF) | Polar protic (EtOH, H2O) |
| Stereochemistry | 100% inversion | Racemization (+ possible rearrangement) |
| Carbocation? | No | Yes |
Carbonyl Chemistry
Aldehydes, ketones, carboxylic acids, esters, and amides — the carbonyl group's electrophilic carbon makes it the central reactive site in organic synthesis.
The carbonyl group (C=O) is the most important functional group in organic chemistry. Its polarization — with partial positive charge on carbon and partial negative on oxygen — makes the carbon an electrophile susceptible to nucleophilic attack. The carbonyl group is present in aldehydes, ketones, carboxylic acids, esters, anhydrides, amides, and acyl halides.
Nucleophilic Addition to Aldehydes and Ketones
Nucleophilic Acyl Substitution
In carboxylic acid derivatives (acyl halides, anhydrides, esters, amides), the nucleophile attacks the carbonyl carbon to form a tetrahedral intermediate, then the leaving group departs — overall substitution, not addition, because the C=O is regenerated. Reactivity order: acyl halide > anhydride > ester > amide.
Enols and Enolates
Carbonyl compounds with a-hydrogens can form enols (under acidic conditions) or enolates (under basic conditions) — tautomers in which the a-carbon becomes nucleophilic. Enolates are fundamental in alkylation, aldol reactions, Claisen condensation, and Michael additions.
Acids, Bases & pK?
Brønsted-Lowry and Lewis acid-base theory, the pK? scale, resonance and inductive effects on acidity, and why thermodynamics governs acid-base equilibria.
Acid-base chemistry is woven throughout organic chemistry. Every proton transfer, every nucleophile-electrophile interaction, and every deprotonation of an a-carbon is an acid-base event. Mastery of the pK? scale — and the factors that raise or lower it — is essential for predicting reactivity and designing synthesis.
pK? Reference Table
Factors Affecting Acidity
Four major structural effects modulate the pK? of an organic acid:
The Equilibrium Rule
Spectroscopy
IR, ¹H NMR, ¹³C NMR, and mass spectrometry — the analytical tools that allow chemists to determine molecular structure from experimental data.
Structure determination is one of the most important skills in modern chemistry. Spectroscopic techniques use the interaction of electromagnetic radiation (or charged particles) with matter to provide information about molecular connectivity, functional groups, and stereochemistry — without destroying the sample.
Infrared Spectroscopy (IR)
IR spectroscopy measures the absorption of infrared radiation by molecular bonds undergoing stretching and bending vibrations. Each functional group absorbs at a characteristic frequency. The fingerprint region (1500–500 cm?¹) is unique to each molecule; the functional group region (4000–1500 cm?¹) is used for identification.
| Wavenumber (cm?¹) | Bond / Functional Group | Notes |
|---|---|---|
| 3200–3550 | O–H stretch (alcohol) | Broad, strong absorption |
| 2500–3300 | O–H stretch (acid) | Very broad, often obscures C–H |
| 3300–3500 | N–H stretch (amine/amide) | Medium, 1 or 2 peaks |
| 2850–3000 | C–H stretch (sp³) | Ubiquitous in organic molecules |
| ~3300 | =C–H stretch (terminal alkyne) | Sharp, strong |
| 2100–2260 | C=C, C=N stretch | Distinctive triple bond region |
| 1700–1750 | C=O stretch (ketone/aldehyde) | Strong, characteristic |
| 1700–1725 | C=O stretch (carboxylic acid) | Accompanied by broad O–H |
| 1630–1680 | C=C stretch (alkene) | Medium intensity |
| 1500–1600 | N–O stretch (nitro) | Two strong absorptions |
¹H NMR Spectroscopy
Nuclear magnetic resonance spectroscopy probes the electronic environment of hydrogen (or carbon) nuclei in a magnetic field. NMR provides: chemical shift (d, in ppm) indicating electronic environment; integration (relative number of protons); and splitting pattern (n+1 rule for spin-spin coupling).
| d (ppm) | Proton Type | Splitting |
|---|---|---|
| 0.5 – 1.5 | Alkyl C–H (RCH3, RCH2) | Depends on neighbors |
| 1.5 – 2.5 | a to C=O; allylic/benzylic | Coupled to neighbors |
| 3.5 – 4.5 | O–CH, N–CH, a to halide | Coupled to neighbors |
| 4.5 – 6.0 | Vinyl (alkene) C=CH | Complex coupling (cis/trans) |
| 6.5 – 8.5 | Aromatic ArH | Complex, often multiplets |
| 9.0 – 10.5 | Aldehyde –CHO | Often doublet (J small) |
| 10 – 12 | Carboxylic acid –COOH | Broad singlet, variable |
Mass Spectrometry (MS)
In mass spectrometry, molecules are ionized (commonly by electron impact, EI, or electrospray, ESI) and the mass-to-charge ratio (m/z) of the resulting ions is measured. The molecular ion peak (M?) gives the molecular weight. Fragmentation patterns reveal structural information. Isotope patterns identify halogens: one bromine gives M and M+2 peaks of nearly equal intensity (7?Br:8¹Br ˜ 1:1).
Synthesis & Strategy
Retrosynthetic analysis, protecting groups, key named reactions, and the logic of constructing complex organic molecules from simple starting materials.
Organic synthesis is the art and science of building molecular architecture. A skilled organic chemist designs a pathway from simple, available starting materials to a target molecule through a sequence of well-chosen reactions. Retrosynthetic analysis (introduced by E.J. Corey, Nobel Prize 1990) provides a systematic approach by working backward from target to starting material.
Retrosynthetic Analysis
In retrosynthesis, the target molecule is disconnected at strategic bonds (identified by retrosynthetic arrows: ?) to give simpler "synthons" — idealized fragments that correspond to real reagents. The disconnection approach asks: "What bonds were formed in the last step? Which functional group transformation precedes it?"
Named Reactions — Essential Toolkit
| Reaction | Type | What It Does |
|---|---|---|
| Aldol Condensation | C–C bond forming | Enolate + carbonyl ? ß-hydroxy carbonyl (? a,ß-unsaturated on heating) |
| Grignard Reaction | C–C bond forming | RMgBr + carbonyl ? alcohol; powerful nucleophile |
| Wittig Reaction | Olefination | Ph3P=CR2 + R'2C=O ? alkene; precise double bond placement |
| Diels-Alder | Cycloaddition [4+2] | Diene + dienophile ? 6-membered ring; stereospecific syn addition |
| Claisen Condensation | C–C bond forming | 2 esters ? ß-ketoester; analogous to aldol but with esters |
| Michael Addition | 1,4-Addition | Nucleophile adds to ß-carbon of a,ß-unsaturated carbonyl |
| Robinson Annulation | Ring forming | Michael + aldol ? 6-membered ring; Michael ? Aldol cyclization |
| Swern Oxidation | Oxidation | Primary/secondary alcohol ? aldehyde/ketone; mild, no over-oxidation |
| Sharpless Epoxidation | Stereospecific oxidation | Allylic alcohol + Ti catalyst ? chiral epoxide; asymmetric synthesis |
| Ozonolysis | Oxidative cleavage | Alkene ? aldehydes/ketones (reductive workup) or carboxylic acids (oxidative) |