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Concept 01 / 08Organic Chemistry - Basic Principles and Techniques

Isomerism: Structural and Stereoisomerism

Types of structural isomerism (chain, position, functional group, metamerism, tautomerism, ring-chain), stereoisomerism: geometrical (cis-trans, E-Z) isomerism and conditions for it, optical isomerism with chiral centres, enantiomers and diastereomers, and counting isomers.

Figure 1
Isomers have the same molecular formula but different structures or spatial arrangements, hence different properties. Structural isomerism (different connectivity). Chain isomerism: different carbon skeletons. C5H12\mathrm{C_{5}H_{12}}: pentane, 2-methylbutane, 2,2-dimethylpropane. Position isomerism: same skeleton and functional group, different position: propan-1-ol and propan-2-ol; but-1-ene and but-2-ene. Functional group isomerism: different functional groups: ethanol and methoxymethane (C2H6O\mathrm{C_{2}H_{6}O}); propanal and propanone; alkynes and dienes. Metamerism: different alkyl groups on either side of a polyvalent functional group: C2H5OC2H5\mathrm{C_{2}H_{5}OC_{2}H_{5}} and CH3OC3H7\mathrm{CH_{3}OC_{3}H_{7}}; diethylamine and methylpropylamine. Tautomerism: rapid, reversible interconversion involving movement of a hydrogen atom (and a double bond): keto-enol, CH3COCH3⇌CH2=C(OH)CH3\mathrm{CH_{3}COCH_{3} \rightleftharpoons CH_{2}=C(OH)CH_{3}}. Usually the keto form dominates; enol content is high in β\beta-dicarbonyls (acetylacetone) stabilised by intramolecular hydrogen bonding and conjugation, and phenol exists entirely as the enol (aromatic). Ring-chain isomerism: propene and cyclopropane (C3H6\mathrm{C_{3}H_{6}}). Stereoisomerism (same connectivity, different spatial arrangement). Geometrical (cis-trans) isomerism arises when rotation is restricted (a C=C double bond or a ring) and each of the two carbons carries two different groups. cis: similar groups on the same side; trans: opposite sides (see figure). CH3CH=CHCH3\mathrm{CH_{3}CH=CHCH_{3}} shows it; (CH3)2C=CH2\mathrm{(CH_{3})_{2}C=CH_{2}} does not. Cis isomers are usually more polar (higher boiling point); trans isomers pack better (higher melting point) and are more stable. The E-Z system ranks groups by the Cahn-Ingold-Prelog priority (higher atomic number first): Z when the higher priority groups are together, E when opposite. Optical isomerism: molecules that are non-superimposable on their mirror images are chiral and rotate plane-polarised light. The most common cause is a chiral (asymmetric) carbon with four different groups. The two mirror-image forms (enantiomers) have identical physical properties except the direction of rotation: dextrorotatory (++ or d) and laevorotatory (−- or l). An equimolar mixture is a racemic mixture (±\pm), optically inactive by external compensation. Stereoisomers that are not mirror images are diastereomers, with different physical properties. A molecule with chiral centres but a plane of symmetry (meso form, such as meso-tartaric acid) is optically inactive by internal compensation. Counting. With nn distinct chiral centres, at most 2n2^{n} optical isomers. With nn stereogenic double bonds in an unsymmetrical molecule, 2n2^{n} geometrical isomers. Key Takeaways: - Structural: chain, position, functional, metamerism, tautomerism, ring-chain. - Geometrical isomerism needs restricted rotation and two different groups on each carbon. - Chiral centre: four different groups; enantiomers rotate light equally but oppositely. - Racemic mixture: external compensation; meso compound: internal compensation. - Pitfall: a compound with a chiral carbon is not automatically chiral (meso forms), and chirality can exist without a chiral carbon (some allenes and biphenyls). Brain-Teaser 1: How many structural isomers are possible for C4H10O\mathrm{C_{4}H_{10}O}? Solution: Alcohols: butan-1-ol, butan-2-ol, 2-methylpropan-1-ol, 2-methylpropan-2-ol (44). Ethers: methoxypropane, 2-methoxypropane, ethoxyethane (33). Total 77 structural isomers (butan-2-ol also exists as a pair of enantiomers). Brain-Teaser 2: Which of these show geometrical isomerism: (a) CH3CH=CHCl\mathrm{CH_{3}CH=CHCl}, (b) (CH3)2C=CHCH3\mathrm{(CH_{3})_{2}C=CHCH_{3}}, (c) ClCH=CHCl\mathrm{ClCH=CHCl}, (d) CH2=CHCH3\mathrm{CH_{2}=CHCH_{3}}? Solution: (a) and (c): each doubly bonded carbon has two different groups. (b) has two identical methyls on one carbon, and (d) has two hydrogens on CH2\mathrm{CH_{2}}, so neither does. Brain-Teaser 3: How many optical isomers does 2,3-dihydroxybutanedioic acid (tartaric acid) have, and why not 22=42^{2} = 4? Solution: It has two chiral carbons, but both carry the same set of groups. The (R,R) and (S,S) forms are an enantiomeric pair (d and l); the (R,S) form has a plane of symmetry and is identical to (S,R), the optically inactive meso form. So there are 33 stereoisomers, of which 22 are optically active.