Comprehensive Organic Chemistry Study Guide: Bonding, Functional Groups, Mechanisms, and Stereochemistry

Bonding and Molecular Structure

  • Development of Organic Chemistry:

    • The science of organic chemistry blossomed with the demise of vitalism, a 19th-century theory asserting that organic compounds could only be produced by living organisms through a vital force.

    • In 1828, Friedrich Wöhler synthesized urea (an organic constituent of urine) by heating an aqueous solution of the inorganic salt ammonium cyanate:

NH4+NCO−→heatH2NCONH2\text{NH}_4^+\text{NCO}^- \xrightarrow{\text{heat}} \text{H}_2\text{NCONH}_2

  • In modern chemistry, organic chemistry is defined strictly as the study of carbon compounds, regardless of origin.

    • Atomic Structure:

  • An atom consists of a dense, positively charged nucleus surrounded by an electron cloud.

  • The nucleus contains protons (charge +1+1, mass ≈1 amu\approx 1\,\text{amu}) and neutrons (electrically neutral, mass ≈1 amu\approx 1\,\text{amu}).

  • Electrons carry a −1-1 charge; their mass is negligible (≈11800\approx \frac{1}{1800} of a proton mass).

  • The volume occupied by electrons is approximately 10,00010{,}000 times larger than the nucleus.

  • Atomic Number (ZZ): Equals the number of protons in the nucleus (and electrons in a neutral atom).

    • Isotopes:

  • Atoms of the same element with the same atomic number (ZZ) but different numbers of neutrons (and thus different mass numbers AA).

  • Carbon Isotopes:

    • 12C^{12}\text{C}: 6 protons, 6 neutrons (99% natural abundance).

    • 13C^{13}\text{C}: 6 protons, 7 neutrons (1% natural abundance).

    • 14C^{14}\text{C}: 6 protons, 8 neutrons (radioactive, used in radiocarbon dating).

  • Hydrogen Isotopes:

    • 1H^1\text{H} (Protium): 1 proton, 0 neutrons (99.985%).    

    • 2H^2\text{H} or D\text{D} (Deuterium): 1 proton, 1 neutron (0.015%).

    • 3H^3\text{H} or T\text{T} (Tritium): 1 proton, 2 neutrons (unstable/radioactive).

    • Valence Electrons:

  • Electrons in the outermost shell used in bonding. The number of valence electrons equals the periodic table group number (e.g., Carbon = 4, Nitrogen = 5, Oxygen = 6, Halogens = 7).

    • Structural Theory of Organic Chemistry:

  • Formulated independently by August Kekulé, Archibald Scott Couper, and Alexander M. Butlerov (1858–1861).

  • Valency rules: Carbon is tetravalent (forms 4 bonds); Oxygen is divalent (2 bonds); Hydrogen and Halogens are monovalent (1 bond).

  • Carbon atoms can form single, double, or triple covalent bonds with other carbon atoms.

    • Isomerism and Constitutional Isomers:

  • Isomers: Different compounds with the same molecular formula.

  • Constitutional Isomers: Isomers that differ in their connectivity (the sequence in which their atoms are bonded).

  • Example: Acetone and Propylene Oxide (C3H6O\text{C}_3\text{H}_6\text{O}) have identical molecular formulas but different constitutions and chemical properties.

Ball-and-stick models and chemical formulas show the different structures of acetone and propylene oxide
  • Example: Dimethyl ether (CH3OCH3\text{CH}_3\text{OCH}_3, gas at room temperature) and Ethanol (CH3CH2OH\text{CH}_3\text{CH}_2\text{OH}, liquid at room temperature) are constitutional isomers (C2H6O\text{C}_2\text{H}_6\text{O}).

    • Three-Dimensional Tetrahedral Carbon:

  • In 1874, J. H. van 't Hoff and J. A. Le Bel independently proposed that the four single bonds of carbon point toward the corners of a regular tetrahedron with bond angles of 109.5∘109.5^\circ (109∘28′109^\circ28').

The tetrahedral structure of methane
  • Chemical Bonding and the Octet Rule:

    • Proposed by G. N. Lewis and W. Kössel (1916).

    • Octet Rule: Atoms react to achieve a stable noble gas electron configuration (8 valence electrons, or 2 for helium).

    • Ionic Bonds: Electrostatic attractions resulting from complete electron transfer between atoms of widely differing electronegativity (e.g., Li+F→Li++F−\text{Li} + \text{F} \rightarrow \text{Li}^+ + \text{F}^-).

    • Electronegativity: Measure of an atom's ability to attract shared electrons. Increases across a row and up a column in the periodic table (F=4.0\text{F} = 4.0, O=3.5\text{O} = 3.5, N=3.0\text{N} = 3.0, C=2.5\text{C} = 2.5, H=2.1\text{H} = 2.1).

    • Covalent Bonds: Formed when atoms of similar electronegativities share electron pairs (e.g., H2\text{H}_2, Cl2\text{Cl}_2, CH4\text{CH}_4, N2\text{N}_2).

  • Resonance Theory:

    • Used when a single Lewis structure fails to describe a molecule or ion accurately.

    • Carbonate Ion (CO32−\text{CO}_3^{2-}): Represented by three equivalent resonance contributors. X-ray data shows all three C--O bond lengths are identical (1.28 A˚1.28\,\text{\AA}), intermediate between a C--O single bond (1.43 A˚1.43\,\text{\AA}) and a C=O double bond (1.20 A˚1.20\,\text{\AA}).

    • Rules for Resonance:

    1. Resonance structures exist only on paper and are connected by double-headed arrows (↔\leftrightarrow).

    2. Only electrons (π\pi electrons and nonbonding pairs) move; nuclei positions remain unchanged.

    3. All contributors must be proper Lewis structures (second-row elements cannot exceed 8 valence electrons). Exception: Third-row elements like Phosphorus (P\text{P}) can expand their octet to 10 valence electrons (e.g., phosphate ion).

    4. The resonance hybrid is more stable than any single contributing structure (resonance stabilization).

    5. Equivalent resonance structures make equal contributions to the hybrid and provide large resonance stabilization (e.g., allyl cation, benzene).

    6. Relative stability of contributors increases with:

      • More covalent bonds.

      • Complete octets on all atoms.

      • Absence or minimization of charge separation.

      • Negative charge placed on the more electronegative atom.

  • Hyperconjugation:

    • Delocalization of σC–H\sigma_{\text{C--H}} bonding electrons into an adjacent vacant p orbital, half-filled p orbital, or π\pi system. Also termed no-bond resonance.

    • Requires α\alpha-hydrogens attached to an sp2sp^2-hybridized carbon atom in alkenes, carbocations, free radicals, or aryl rings.

    • Number of hyperconjugating structures for alkenes = Number of α\alpha\text{-H} +1+ 1

    • Stability Trends Explained by Hyperconjugation:

    • Alkenes: Tetrasubstituted > Trisubstituted > Disubstituted > Monosubstituted.

    • Carbocations: 3∘>2∘>1∘>methyl3^\circ > 2^\circ > 1^\circ > \text{methyl}.

    • Free Radicals: 3∘>2∘>1∘>methyl3^\circ > 2^\circ > 1^\circ > \text{methyl}.

    • Baker-Nathan Effect: Hyperconjugation dominates the inductive effect in electron donation from alkyl groups to an aromatic ring (–CH3>–CH2CH3>–CH(CH3)2>–C(CH3)3\text{--CH}_3 > \text{--CH}_2\text{CH}_3 > \text{--CH(CH}_3)_2 > \text{--C(CH}_3)_3).

    • Reverse Hyperconjugation: Occurs in haloalkyl systems such as –CCl3\text{--CCl}_3, where halogen σ∗\sigma^* orbitals withdraw electron density from the π\pi system.

  • Orbital Hybridization:

    • sp3sp^3 Hybridization (e.g., Methane, Ethane):

    • Mixing one 2s and three 2p orbitals yields four equivalent sp3sp^3 hybrid orbitals directed tetrahedrally (109.5∘109.5^\circ).

    • C--C σ\sigma bond length = 1.54 A˚1.54\,\text{\AA}; C--H σ\sigma bond length = 1.09 A˚1.09\,\text{\AA}.

    • Free rotation occurs around single σ\sigma bonds.

Hybridization of pure atomic orbitals of a carbon atom to produce sp3 hybrid orbitals
  • sp2sp^2 Hybridization (e.g., Ethene/Ethylene):

    • Mixing one 2s and two 2p orbitals yields three sp2sp^2 hybrid orbitals in a trigonal planar arrangement (120∘120^\circ) plus one unhybridized 2p orbital perpendicular to the plane.

    • C=C double bond consisting of one σ\sigma bond (sp2−sp2sp^2-sp^2 overlap) and one π\pi bond (parallel side-by-side overlap of unhybridized 2p orbitals).

    • Rotational barrier of C=C double bond ≈264 kJ mol−1\approx 264\,\text{kJ}\,\text{mol}^{-1}, preventing free rotation at room temperature and giving rise to cis--trans stereoisomerism.

    • C=C bond length = 1.34 A˚1.34\,\text{\AA}; C--H bond length = 1.10 A˚1.10\,\text{\AA}.

Structure and bond angles of ethene
  • spsp Hybridization (e.g., Ethyne/Acetylene):

    • Mixing one 2s and one 2p orbital yields two spsp hybrid orbitals (180∘180^\circ, linear) plus two unhybridized 2p orbitals.

    • C≡\equivC triple bond consists of one σ\sigma bond (sp−spsp-sp) and two mutually perpendicular π\pi bonds.

    • C≡\equivC bond length = 1.20 A˚1.20\,\text{\AA}; C--H bond length = 1.06 A˚1.06\,\text{\AA}.

Formation of the bonding molecular orbitals of ethyne from two sp-hybridized carbon atomsBond angles and bond lengths of ethyne, ethene, and ethane
  • Trend: Greater s-character (sp>sp2>sp3sp > sp^2 > sp^3) results in shorter, stronger C--C and C--H bonds because s-electrons are held closer to the nucleus.

Families of Carbon Compounds, Functional Groups, and Intermolecular Forces

  • Hydrocarbons:

    • Alkanes: Saturated hydrocarbons containing only single bonds (CnH2n+2\text{C}_n\text{H}_{2n+2}).

    • Alkenes: Unsaturated hydrocarbons with at least one C=C double bond (CnH2n\text{C}_n\text{H}_{2n}).

    • Alkynes: Unsaturated hydrocarbons with at least one C≡\equivC triple bond (CnH2n−2\text{C}_n\text{H}_{2n-2}).

    • Aromatic Hydrocarbons: Cyclic unsaturated systems with delocalized π\pi systems (e.g., Benzene, C6H6\text{C}_6\text{H}_6). All C--C bond lengths are equal at 1.39 A˚1.39\,\text{\AA}.

Calculated benzene molecular orbital resulting from favorable overlap of p orbitals
  • Polarity and Dipole Moments:

    • Polar covalent bonds arise from electronegativity differences (δ+−δ−\delta^+ - \delta^-).

    • Dipole Moment (μ\mu): μ=e×d\mu = e \times d, where ee is electric charge and dd is distance.

    • Units: Debye (D\text{D}), where 1 D=10−18 esu⋅cm=3.336×10−30 C⋅m1\,\text{D} = 10^{-18}\,\text{esu}\cdot\text{cm} = 3.336 \times 10^{-30}\,\text{C}\cdot\text{m}.

    • Molecular geometry determines net dipole moment (μ\mu):

    • Carbon tetrachloride (CCl4\text{CCl}_4): Tetrahedral symmetry causes bond dipoles to cancel; μ=0 D\mu = 0\,\text{D}.

    • Chloromethane (CH3Cl\text{CH}_3\text{Cl}): μ=1.87 D\mu = 1.87\,\text{D}.

    • cis-1,2-Dichloroethene: Bond dipoles reinforce; μ=1.90 D\mu = 1.90\,\text{D}.

    • trans-1,2-Dichloroethene: Bond dipoles cancel; μ=0 D\mu = 0\,\text{D}.

  • Overview of Key Functional Groups:

    • Alkyl Groups (R\text{R}): Methyl (Me\text{Me}), Ethyl (Et\text{Et}), Propyl (Pr\text{Pr}), Isopropyl, Butyl (Bu\text{Bu}), Isobutyl, sec-Butyl, tert-Butyl.

    • Phenyl (Ph\text{Ph} / Ar\text{Ar} / C6H5\text{C}_6\text{H}_5) and Benzyl (Bn\text{Bn} / C6H5CH2\text{C}_6\text{H}_5\text{CH}_2).

    • Alkyl Halides (R–X\text{R--X}): Primary (1∘1^\circ), Secondary (2∘2^\circ), or Tertiary (3∘3^\circ) based on carbon substitution.

    • Alcohols (R–OH\text{R--OH}): Hydroxyl group attached to sp3sp^3 carbon. Classified as 1∘,2∘,3∘1^\circ, 2^\circ, 3^\circ.

    • Ethers (R–O–R’\text{R--O--R'}): Oxygen atom bonded to two alkyl or aryl groups.

    • Amines (RNH2,R2NH,R3N\text{RNH}_2, \text{R}_2\text{NH}, \text{R}_3\text{N}): Organic derivatives of ammonia; classified as 1∘,2∘,3∘1^\circ, 2^\circ, 3^\circ based on the number of organic groups on Nitrogen.

    • Aldehydes (R–CHO\text{R--CHO}) and Ketones (R–CO–R’\text{R--CO--R'}): Carbonyl group (C=O\text{C=O}), sp2sp^2-hybridized, trigonal planar.

    • Carboxylic Acids (R–COOH\text{R--COOH}): Carboxyl group (carbonyl+hydroxyl\text{carbonyl} + \text{hydroxyl}).

    • Esters (R–COOR’\text{R--COOR'}) and Amides (R–CONH2,R–CONHR’,R–CONR’R”\text{R--CONH}_2, \text{R--CONHR'}, \text{R--CONR'R''}).

    • Nitriles (R–C≡N\text{R--C}\equiv\text{N}): Cyano group with spsp-hybridized carbon.

  • Intermolecular Forces (van der Waals Forces):

    • Ion--Ion Forces: Strong electrostatic attractions in crystal lattices (e.g., sodium acetate, mp 324∘C324^\circ\text{C}).

Dissolution of an ionic solid in water showing hydration of positive and negative ions
  • Dipole--Dipole Forces: Attractions between permanent molecular dipoles.

  • Hydrogen Bonding (4−38 kJ mol−14 - 38\,\text{kJ}\,\text{mol}^{-1}): Strong dipole--dipole force between a hydrogen atom bonded to a strongly electronegative atom (O, N, F\text{O, N, F}) and an unshared electron pair on another O, N, F\text{O, N, F} atom.

    • Explains abnormally high boiling points: Water (100∘C100^\circ\text{C}), Hydrogen fluoride (19.5∘C19.5^\circ\text{C}), Ammonia (−33.4∘C-33.4^\circ\text{C}), Ethanol (78.5∘C78.5^\circ\text{C}) vs Dimethyl ether (−24.9∘C-24.9^\circ\text{C}).

  • Dispersion (London) Forces: Transient, induced dipole attractions present in all molecules.

    • Dependent on polarizability (F<Cl<Br<I\text{F} < \text{Cl} < \text{Br} < \text{I}) and molecular surface area.

    • Unbranched pentane (higher surface area) boils at 36.1∘C36.1^\circ\text{C}, while spherical neopentane boils at 9.5∘C9.5^\circ\text{C}.

    • Solubility Principles:

  • "Like dissolves like": Polar/ionic solutes dissolve in polar solvents; nonpolar solutes dissolve in nonpolar solvents.

  • Hydrophilic: Water-loving / polar groups (–OH, –NH2,–COOH\text{--OH, --NH}_2, \text{--COOH}).

  • Hydrophobic: Water-fearing / nonpolar alkane chains (–R\text{--R}).

Organic Reactions, Mechanisms, and Acid-Base Chemistry

  • Four Major Categories of Organic Reactions:

    1. Substitution: Replacement of one group by another (CH3Cl+OH−→CH3OH+Cl−\text{CH}_3\text{Cl} + \text{OH}^- \rightarrow \text{CH}_3\text{OH} + \text{Cl}^-).

    2. Addition: Addition of elements across a multiple bond (CH2=CH2+Br2→BrCH2CH2Br\text{CH}_2\text{=CH}_2 + \text{Br}_2 \rightarrow \text{BrCH}_2\text{CH}_2\text{Br}).

    3. Elimination: Loss of a small molecule to generate a multiple bond (CH3CH2Br→KOHCH2=CH2+HBr\text{CH}_3\text{CH}_2\text{Br} \xrightarrow{\text{KOH}} \text{CH}_2\text{=CH}_2 + \text{HBr}).

    4. Rearrangement: Reorganization of molecular bonds and connectivity.

  • Covalent Bond Cleavage:

    • Heterolysis: Unsymmetrical cleavage where one fragment retains both bonding electrons, forming ions (A–B→A++B−\text{A--B} \rightarrow \text{A}^+ + \text{B}^-). Characteristic of ionic reactions.

    • Homolysis: Symmetrical cleavage where each fragment takes one electron, producing radicals (A–B→A⋅+B⋅\text{A--B} \rightarrow \text{A}^\cdot + \text{B}^\cdot).

  • Brønsted--Lowry Acid--Base Theory:

    • Acid: Proton donor. Base: Proton acceptor.

    • Acidity Constant (KaK_a) and pKap K_a:

Ka=[H3O+][A−][HA],pKa=−log⁡KaK_a = \frac{[\text{H}_3\text{O}^+][\text{A}^-]}{[\text{HA}]}, \quad p K_a = -\log K_a

  • Smaller or negative pKap K_a indicates a stronger acid.

  • Relative pKap K_a Scale:

    • HSbF6\text{HSbF}_6 (<−12< -12

    • HI\text{HI} (−10-10

    • H2SO4\text{H}_2\text{SO}_4 (−9-9

    • HBr\text{HBr} (−9-9

    • HCl\text{HCl} (−7-7

    • H3O+\text{H}_3\text{O}^+ (−1.74-1.74

    • CF3COOH\text{CF}_3\text{COOH} (0.180.18

    • HF\text{HF} (3.23.2

    • CH3COOH\text{CH}_3\text{COOH} (4.754.75

    • C6H5OH\text{C}_6\text{H}_5\text{OH} (9.99.9

    • H2O\text{H}_2\text{O} (15.715.7

    • CH3CH2OH\text{CH}_3\text{CH}_2\text{OH} (1616

    • HC≡CH\text{HC}\equiv\text{CH} (2525

    • NH3\text{NH}_3 (3838

    • CH2=CH2\text{CH}_2\text{=CH}_2 (4444

    • CH3CH3\text{CH}_3\text{CH}_3 (5050

  • Direction of Equilibrium: Acid--base reactions always favor formation of the weaker acid and weaker base.

    • Lewis Acid--Base Theory:

  • Lewis Acid: Electron pair acceptor (Electrophile).

  • Lewis Base: Electron pair donor (Nucleophile).

  • Carbocations (R+\text{R}^+), BF3\text{BF}_3, AlCl3\text{AlCl}_3, FeBr3\text{FeBr}_3 are Lewis acids / electrophiles.

  • Carbanions (R−\text{R}^-), NH3\text{NH}_3, H2O\text{H}_2\text{O}, OH−\text{OH}^- are Lewis bases / nucleophiles.

    • Curved-Arrow Notation:

  • Curved arrows trace the flow of electrons from an electron source (site of high electron density) to an electron sink.

  • Double-barbed arrow: Movement of an electron pair.

  • Single-barbed arrow (fishhook): Movement of a single electron.

    • Structural Effects on Acidity:

  • Periodic Trends:

    • Down a group: Bond strength to hydrogen decreases, dominating acidity (HF<HCl<HBr<HI\text{HF} < \text{HCl} < \text{HBr} < \text{HI}).

    • Across a row: Electronegativity increases, stabilizing the negative charge of the conjugate base (CH4<NH3<H2O<HF\text{CH}_4 < \text{NH}_3 < \text{H}_2\text{O} < \text{HF}).

  • Hybridization Effect: spsp carbon (50% s) is effectively more electronegative than sp2sp^2 (33.3% s) or sp3sp^3 (25% s), so ethyne (pKa=25p K_a = 25) is much more acidic than ethene (pKa=44p K_a = 44) or ethane (pKa=50p K_a = 50).

  • Inductive Effects (−I-I vs +I+I): Electron-withdrawing groups (−I-I) stabilize conjugate bases by charge dispersal, increasing acidity (e.g., chloroacetic acid pKa=2.86p K_a = 2.86 vs acetic acid pKa=4.75p K_a = 4.75).

  • Resonance / Mesomeric Effects (−M-M vs +M+M): Delocalization of negative charge in carboxylate anions renders carboxylic acids significantly more acidic than alcohols.

  • Steric Inhibition of Resonance (SIR) & Ortho/Para Effects:

    • Ortho-substituted benzoic acids are stronger acids than benzoic acid due to steric crowding forcing the carboxyl group out of the ring plane (inhibiting +M+M electron donation from the ring).

    • Ortho-substituted anilines are weaker bases due to steric inhibition of protonation (SIP).

    • Thermodynamic Relationships:

ΔG∘=−RTln⁡Keq=ΔH∘−TΔS∘\Delta G^\circ = -R T \ln K_{\text{eq}} = \Delta H^\circ - T \Delta S^\circ

  • Negative ΔG∘\Delta G^\circ indicates a favorable reaction at equilibrium (Keq>1K_{\text{eq}} > 1).

Stereochemistry and Chiral Molecules

  • Chirality and Enantiomers:

    • Chiral: A molecule or object that is not superposable on its mirror image.

    • Achiral: A molecule or object that is superposable on its mirror image.

    • Enantiomers: Stereoisomers that are nonsuperposable mirror images of each other.

    • Diastereomers: Stereoisomers that are not mirror images of each other.

  • Chirality Centers:

    • A tetrahedral atom (usually carbon) bonded to four different groups is a chirality center (∗*).

    • A molecule with a single chirality center is always chiral.

  • Tests for Chirality and Symmetry Elements:

    • Plane of Symmetry (σ\sigma): An imaginary plane bisecting a molecule such that one half is the mirror image of the other. Any molecule possessing an internal plane of symmetry in its most symmetric conformation is achiral.

Plane of symmetry in 2-chloropropane vs chiral 2-chlorobutane
  • Center of Symmetry (ii or COSCOS): A point through which any line drawn meets identical atoms at equal distances in opposite directions.

  • Axis of Symmetry (CnC_n): Rotation by 360∘n\frac{360^\circ}{n} yields an identical orientation.

  • Alternating Axis of Symmetry (SnS_n): Rotation by 360∘n\frac{360^\circ}{n} followed by reflection across a perpendicular plane. Possession of an SnS_n axis renders a molecule achiral.

    • Cahn--Ingold--Prelog (R, S) Nomenclature:

  • Assign priority (a > b > c > d) to the four groups attached to the chirality center based on atomic number at the first point of difference (I>Br>Cl>S>F>O>N>C>H\text{I} > \text{Br} > \text{Cl} > \text{S} > \text{F} > \text{O} > \text{N} > \text{C} > \text{H}).

  • Multiple bonds are treated as if the atoms were duplicated or triplicated.

  • Orient the molecule so that the lowest priority group (d) is directed away from the viewer.

  • Trace path from a →\rightarrow b →\rightarrow c:

    • Clockwise path = (R)(R) configuration (rectus).

    • Counterclockwise path = (S)(S) configuration (sinister).

      • Properties of Enantiomers and Optical Activity:

  • Enantiomers have identical melting points, boiling points, densities, refractive indices, and solubilities in achiral solvents.

  • Enantiomers rotate the plane of plane-polarized light by equal magnitudes but in opposite directions.

  • Dextrorotatory (+): Rotates plane-polarized light clockwise.

  • Levorotatory (-): Rotates plane-polarized light counterclockwise.

  • Specific Rotation formula:

[α]λT=αc⋅l[\alpha]_\lambda^T = \frac{\alpha}{c \cdot l}

    where α\alpha = observed rotation in degrees, cc = concentration in g mL−1\text{g}\,\text{mL}^{-1}, and ll = path length in decimeters (dm\text{dm}).

  • Racemic Mixtures and Enantiomeric Excess:

    • Racemic Mixture (±\pm): An equimolar mixture of two enantiomers. Optically inactive ([α]=0[\alpha] = 0).

    • Enantiomeric Excess (eeee) / Optical Purity:

% Enantiomeric excess=∣moles of one enantiomer−moles of other enantiomer∣total moles×100%=observed [α][α] of pure enantiomer×100%\% \text{ Enantiomeric excess} = \frac{|\text{moles of one enantiomer} - \text{moles of other enantiomer}|}{\text{total moles}} \times 100\% = \frac{\text{observed } [\alpha]}{[\alpha] \text{ of pure enantiomer}} \times 100\%

  • Molecules with Multiple Chirality Centers:

    • Maximum number of stereoisomers = 2n2^n, where nn is the number of chirality centers.

    • Meso Compounds: Achiral molecules that contain chirality centers because they possess an internal plane or center of symmetry.

    • Example: 2,3-Dibromobutane has 3 stereoisomers: (2R,3R)(2R, 3R), (2S,3S)(2S, 3S) [pair of enantiomers], and meso-2,3-dibromobutane (2R,3S2R, 3S).

  • Fischer Projection Formulas:

    • Vertical lines represent bonds projecting behind the page; horizontal lines represent bonds projecting forward toward the viewer.

    • Rotation by 180∘180^\circ in the plane retains configuration; rotation by 90∘90^\circ or flipping out of plane inverts configuration.

Advanced Stereochemistry, Atropisomerism, and Tautomerism

  • Cycloalkane Stereochemistry:

    • 1,4-Dimethylcyclohexane: Exists as cis and trans diastereomers; both are achiral due to planes of symmetry.

    • 1,3-Dimethylcyclohexane: cis-1,3-Dimethylcyclohexane is a meso compound (achiral); trans-1,3-dimethylcyclohexane exists as an enantiomeric pair.

    • 1,2-Dimethylcyclohexane: trans-1,2-Dimethylcyclohexane exists as an enantiomeric pair. cis-1,2-Dimethylcyclohexane consists of two rapidly interconverting chiral chair conformations (conformational enantiomers) that exist as an unresolvable racemate at room temperature.

  • Atropisomers and Allenes:

    • Atropisomers: Conformational stereoisomers that are stable and isolable due to high activation energy barriers to rotation about a single bond (e.g., (S)-\text{(S)-} and (R)-BINAP\text{(R)-BINAP}, ortho-tetrasubstituted biphenyls).

    • Allenes (C=C=C\text{C=C=C}): The perpendicular alignment of adjacent π\pi bonds places terminal groups in perpendicular planes, bestowing chirality on allenes with different substituents at each terminal carbon (e.g., 1,3-dichloroallene).

  • Tautomerism and Keto--Enol Equilibria:

    • Tautomers: Rapidly interconverting constitutional isomers in dynamic equilibrium.

    • Keto--Enol Tautomerism: Involves migration of an α\alpha-proton and shift of π\pi electrons between carbon and oxygen, catalyzed by acid or base.

    • Factors Increasing Enol Content:

    1. Conjugation: Delocalization of π\pi electrons stabilizes the enol form.

    2. Intramolecular Hydrogen Bonding: Six-membered chelate rings in β\beta-dicarbonyl enols (e.g., acetylacetone is 76%–92% enol in nonpolar solvents).

    3. Aromaticity: Phenol exists 100% in the enol form because enolization delivers aromatic stabilization energy.

    4. Gero Entropy Effect: Cyclic monoketones show higher enol content than acyclic analogues due to ring constraints.