651.06 Stereochemistry – The Chemistry of Shape a) Constitutional isomers: order of bond attachment is different Br Br vs. b) Stereoisomers: Br vs. non-identical compound of identical connectivity 1) Configurational isomers: stereoisomers which are interconvertible by interchanging groups attached to the same (carbon) atom vs. 2) Conformational isomers: isomers which are interconvertible by rotation about single bonds vs. when such a rotation requires high energy (> 20 kcal/mol) the isomers are known as atropisomers ex. HO OH 3) Enantiomers: configurational or conformational isomers which have a non-superimposable mirror-image relationship CH3 H F Cl CH3 vs. F Cl H 38 vs. or 651.06 4) Diastereomers: any set of configurational or conformational isomers which do not have a non-superimposable mirror-image relationship 5) Epimers: diastereomers that differ at one center Diastereomers behave as different chemical entities (different solubility, reactivity, spectra, etc.); Enantiomers behave identically except when exposed to a chiral reagent or polarized light. o Optical activity (reported as [! ]20 c = y.yy) D = x.xxx 20 [! ]D = specific rotation of Na D line (589.3nm) = [observed rotation (degrees)] / [Length (dm) * g/cc] c = concentration in g / 100mL ORD: optical rotatory dispersion measurement of rotation as a function of wavelength enantiomers give mirror image curves Chiral: a stereoisomer non-superimposable on its mirror image O S O P F O R H D Achiral: a stereoisomer superimposable on its mirror image due to a plane of symmetry S H R 39 H H 651.06 Reevaluation of Stereochemistry: The Mislow Approach (JACS 1984, 3319) -Stereochemistry and chirality have nothing to do with one another. “Chirality and achirality are purely geometric attributes that are in no way dependent on models of bonding.” (Mislow & Siegel) stereogenicity: a property of tetrahedral atoms, in which all four ligands are different; exchange of any two ligands results in a different isomer. Such (stereogenic) atoms can be assigned an R or S designation using the Cahn-Ingold-Prelog system. chirotopicity: a term applied to any atom that exists in a chiral environment; in general, non-chirotopic atoms lie on a plane or point of symmetry Note: The term "stereogenic center" is now preferred to "chiral center" or "asymmetric center". Ex: OH OH OH OH OH OH OH OH Mislow also points out that the term "stereoisomer" is impossible to define in purely geometric terms and can be abandoned if one attaches no stereochemical significance to bonding. In addition, if we discard the term "stereoisomer," then "diastereomer" becomes a meaningless term. molecules YES symmetry equivalent? Symmetry equivalent YES equivalent? homoisomers (the same thing) NO enantiomers sets of atoms NO YES Symmetry equivalent Symmetry nonequivalent YES same bonding connectivity? symmetry equivalent? NO diastereomers YES constitutional isomers homotopic equivalent? NO enantiotopic NO Symmetry nonequivalent YES same bonding connectivity? diastereotopic NO constitutionally heterotopic Flow charts for the classification of symmetry relationships among molecules and topic relationships among sets of atoms 40 651.06 Topicity Stereochemical relationships between individual atoms or groups within a single molecule can be defined in terms of topicity. Thus, two atoms equated by a mirror reflection of the molecule are enantiotopic and two atoms in equivalent environments (i.e., the methylene protons in n-propane) are homotopic. Two protons placed in diasteromeric positions by a mirror reflection are in diastereotopic environments. ! 2,1 (d) H H HO ! 3.57 (dd) ! 3.59 (dd) H H HO OH 41 651.06 Cahn-Ingold-Prelog Rules for Assignment of Stereogenicity 1) Assign each subsituent on the stereogenic atom a priority based on the following considerations: a) Atomic number (higher atomic numbers get higher priority) b) In the event of a tie, look at the substitutents attached to each substituent: c) The higher priority goes to the atom with the highest priority substituent d) In the event of a tie, give a higher priority to the atom with the greater number of higher priority substituents (count multiple bonds as multiple substitutents) e) In the event of a tie, repeat step b) until a difference is encountered 2) Once prioritites have been assigned, view the molecule from the perspective in which the lowest priority substitutent is directly behind the stereogenic atom. If the remaining three substituents are arranged such that traveling from highest to lowest priority occurs in a clockwise direction, the stereogenic atom is assigned the (R) designation; if traveling from highest to lowest occurs in a counterclockwise direction, the stereogenic atom is assigned the (S) designation. OH O > C(H)(CH[CCC])2 > C(H)(CH3)2 > C(H)2(C) Note: If two substituents differ only in their stereogenicity, we give a higher priority to the (R) configuration and assign r and s designations to the stereogenic center. Prochirality (Stereotopicity) of sp2 Atoms Any sp2 atom attached to three different ligands is considered prochiral and the faces of the multiple bond are either enantiotopic or diastereotopic. The two faces can be designated as si or re using a variation of the Cahn-Ingold-Prelog convention: the face in which the travel is clockwise is designated re; the face in which the travel is counterclockwise is given the si designation. O R O H vs. H si R si OH O pyruvate reductase H3C CO2H (si facial selectivity) 42 H3C (S) CO2H 651.06 Symmetry Operations: operations which convert an object into itself o a) Rotation (Cn) rotation of 360 /n about an axis gives the original species b) Reflection (σ) reflection in a plane gives the original species o c) Rotation-reflection (Sn) rotation of 360 /n about an axis followed by reflection in a plane perpendicular to the axis of rotation gives the original species Relationship Between Chirality and Symmetry Groups Chiral without stereogenic carbons Chiral with stereogenic carbons I II III IV Achiral without stereogenic carbons Achiral with stereogenic carbons Class I Cl H C H H Cl Cl C OO optically active no stereogenic carbons but chiral 43 Cl H OO 651.06 Class II ClH 2C CH3 HO H 2N OH HO CO2H HO2C H 3C CH2 Cl OH NH2 non-superimposable mirror images, no plane of symmetry (lots of molecules in this class) Class III H 3C CH3 H 3C H 3C 2 OH 3 4 1 HO CH3 CH 4 3 2 1 3 superimposable mirror images plane of symmetry - C1, C2, C3, C4, OH plane (lots of molecules in this class) Class IV O OH OH HO OH O meso compound, 2 stereogenic centers but a plane of symmetry running through the molecule 44 651.06 Cycloalkanes: Draw the possible stereoisomers of 1,2-dimethylcyclobutane CH3 CH3 CH3 H H CH3 H H H CH3 CH3 H meso enantiomers Draw the possible stereoisomers of 1,3-dimethylcyclobutane CH3 H CH3 CH3 CH3 H H achiral H achiral one plane of symmetry two planes of symmetry Diastereomers: OH O HO O H OH OH H OH D-erythrose enantiomers OH L-erythrose Diastereomers Diastereomers Diastereomers enantiomers D-threose L-threose O OH OH O HO H OH H OH OH 45 651.06 Stereochemistry of Transition States Like ground state molecules, transition states also have stereochemical properties: ‡ H Ph H Li O ‡ Ph vs. Li O O O enantiomers -same energies, so equally populated ‡ H ‡ H Ph O Ph Li vs. O O Li O diastereomers -different energies, so differentially populated 46 651.06 Conformation a) Ethane Staggered Ethane Conformation H H H H H HCCH dihedral H H angle = 60 o HH Newman projection H H H staggered form = (S) (rear H's bisect front H's) Eclipsed Ethane Conformation H H H HCCH dihedral angle = 0 o H HH HH H H Newman projection HH eclipsed form = (E) (rear H's behind front H's) E E E E ENERGY 3 Kcal/mol S S 0o 60o 180o 120o S 240o Angle of rotation, degrees 47 300o 360 = 0 o 651.06 b) Butane H3C H CH3 H H 1 H3C CH3 H H H H fully eclipsed (one eclipsed CH3-CH3; and two eclipsed H-H ) H 2 CH3 H H CH3 CH3 H H H CH3 gauche (offset CH3-CH3 and offset H-H) H H H H CH3 H H3C H 3 H CH3 partly eclipsed H H H H (two eclipsed CH3-H; and one eclipsed H-H) CH3 4 CH3 H H H3C H CH3 HH anti H (CH3 's 180o apart and H-H offset) H H CH3 1 1 3 ENERGY 6 Kcal /mole 2 3 4 Kcal /mole 4 Kcal /mole 0.9 Kcal /mole 0o 60o 2 0.9 Kcal /mole 4 180o 120o Angle of rotation, degrees. 48 6 Kcal /mole 240o 300o 360 = 0o 651.06 Alkane Steric Interactions Gauche butane = 0.9 Kcal/mol Eclipsed H...H = 1 Kcal/mol Eclipsed H...CH 3 = 1.5 Kcal/mol Eclipsed CH 3...CH3 = 4 Kcal/mol Substituted Butane X Y X,Y = OR, Cl, F (electronegative groups) Egauche < Eanti “gauche effect” ascribed to a dipole / dipole interaction c) Pentane H HH H H H 1,7 interaction very bad steric interaction ( > 5 kcal/mol ) d) Butadiene H s-trans H s-cis e) acrolein O H H O H H s-trans H H H H s-cis (less stable ≈ 0.5 - 1.0 kcal/mol) 49 651.06 f) alkenes R1 R2 Y R3 lobes of !* R1 eclipses C=Y to allow R2 & R3 to hyperconjugate (allows overlap with π*) -contributes electron density to electron deficient π* (esp. when Y = N, O and R2 & 3 = H > C > N > O > X) - C-H hyperconjugates better than C-C > C-O (C-N) Y R1 R2 R1 R3 Y R2 R3 ∴ the more electropositive R2 & R3 the better Topics in Stereochem, 1971, 5, 167 ex H 3C H H O > H H O H H 3C H by ≈ 1 kcal/mol Exception! F O O F H dipole / dipole repulsion H -true for carbonyls -not true for olefins (due to sterics) H H H H H H H H H 1,6 interaction approx. 1 kcal/mol H H H H 3C bisected approx. 2 kcal/mol 2 kcal/mol energy difference is typical for not eclipsing a bond (Ebisected - Eeclipsed ≅ 2 kcal/mol) 50 H H H CH3 lowest E 0 kcal/mol 651.06 perpendicular +0 kcal/mol H 3C H H H 3C H H bisected +0.5 kcal/mol H H H 3C H eclipsed +0.6 kcal/mol H 3C H H H CH 3 H 3C H 3C H 3C H H H 3C H H H H H H eclipsed +4 kcal/mol bisected +5 kcal/mol substituted sp2 - sp2 O H 3C H O H CH3 CH3 CH3 H H ≈4 : 1 O H H 3C ΔG ≈ 0.5 kcal/mol O H 3C CH3 CH3 H 3C CH3 ≈1 α - CH3 destabilized s-cis : H 2 51 β - CH3 destabilized s-trans 651.06 O O R1 O R2 R1 O R2 ΔG ≈ 10 kcal/mol NH R2 ΔG ≈ 15 kcal/mol s-trans (favored by 3-4 kcal/mol) O O R1 N H R2 R1 s-trans s-cis O R1 O R N 2 R3 R1 N R2 R3 ΔG ≈ 12 kcal/mol for R2 larger than R3 Dale, Stereochemistry & Conformational Analysis (Verlag Chemie) O CH3 H N CH3 52 651.06 g) Cyclohexane 3 representations Hax Hax H eq H eq 3 Hax Heq 4 2 5 Heq 1 Heq H 6 Heq ax Hax Hax a dot denotates a non-visible bond (H eq on C-1) toward the observer. Hax Hax H eq 2 H eq Hax Heq 6 1 Hax H 4 Hax ax Heq an open circle denotates an invisible bond (H eq on C-4) away from the observer. H H H 3 5 4 H H H H H 1 2 6 H H H 53 H 651.06 interconversion of cyclohexane conformers Chair 1 H eq H eq Chair 2 Hax Hax Hax H eq 3 5Heq 4 2 Hax 1 H "ax" 6 Heq Hax Heq Hax H"eq" H"eq" H "ax" H"eq" H"ax" 4 2 3 6 1 H "ax" 5 H"ax" H "eq"H"ax" H"eq" H"eq" Note that the ring flip interchanges axial and equatorial protons Bring C2,1,6,5 all into same plane while keeping C 3,4 unchanged H H H 3 H 4 H 2 C1 C6 5 H 4 H H Half-Chair 1 2 C1 3 C6 5 Half-Chair 2 The eight hydrogens shown are all eclipised HH H H In the twist-boat form, the two flagpole hydrogens are "offset" so they do not directly run into each other as in the boat form. HH H H H H H H Twist-boat (two views) H H HH H H H 4 H H H 1 HH HH H H HH HH H H 1 4 H "Flagpole Hydrogens" Boat (three views) 54 H 651.06 energetics of the cyclohexane interconversion process Half-chair 1 E n e r g y Half-chair 2 boat 10.1 Kcal/mol 1.5 kcal/mol Twist boat 2 Twist boat 1 10.1 Kcal/mol 3.8 Kcal/mol Chair 1 Chair 2 Reaction co-ordinate Substituted Cyclohexanes a) Methylcyclohexane Hax Hax 3 H eq H eq 2 Hax 1 Hax Heq 4 5 Heq H 6Heq ax Hax CH3 H H H 5 3 H H 4 H H H H H 1 2 H H eq 6 H H 55 H eq H Hax Hax Hax 2 6 1 4 Hax H Hax ax Heq CH3 651.06 interconversion of equatorial and axial methylcyclohexane Hax Hax Hax Heq 3 5 CH3 4 H eq H eq 2 H H 1 6 Heq Hax Heq Hax Hax HH 2 H H 4 3 6 H H H 1 H Chair 1 H 5 CH3 H Chair 2 H CH2 H H H CH3 Hax Hax Hax H eq H eq 2 6 1 4 Hax H ax Hax H Heq H CH3 The equatorial methyl group is in an anti-butane conformation; no destabilizing interactions. H H H 2 1 6 H H CH3 H H Newman projection of gauche butane; (0.9 Kcal/mol) destabilization. The axial methyl group is in a gauche butane conformation with the two axial protons on C-1 and C-3; a total of (1.8 Kcal/mol) destabilization. The amount of energy necessary to convert from an equatorial form to an axial form is called the A-value for a given substituent. review: Topics in Stereochem., 1, 199? Typical “A” Values For Monosubstituted Cyclohexanes (Kcal / mol) F 0.25 Cl, Br, I 0.50 CH3 C2H 5 OH OCH3 0.70 0.70 n-C3H 7 i-C3H7 2.10 2.10 NH2 NR2 1.80 2.10 t-C4 H9 5.60 1.20 0.20 C6H 5 3.10 CO2H CN 56 (Kcal / mol) 1.80 1.90 651.06 b) trans-1,2-dimethylcyclohexane H H H H H H 3 2 H 4 1 H 6 H 5 H HCH43 H H CH3 H CH3 2 H H 3 H H H 2 H H 6 4 H H CH3 Chair 2 <1% H 1 5 H Chair 1 >99% H H 6 1 CH3 H CH3 H H 2 H The diequatorial dimethyl cyclohexane has one gauche butane type interaction... this results in a destabilization of the diequatorial isomer by 0.9 Kcal/mol. The difference in energy between the two forms favors the diequatorial conformer by 2.7 Kcal/mol, this means that this form will represent 99% of the equlibrium mixture. 57 H CH3 1 6 H CH3 H H The two axial methyl groups (on C5,6) are each in a gauche butane conformation with two axial protons on C-1 and C-3, and C-2 and C-4 respectively; this results in a total of four destabilizations, each worth 0.9 Kcal/mol... Total = 3.6 Kcal/mol. 651.06 c) cis-1,2-dimethylcyclohexane H H H H H H 3 2 H H 5 4 1 6 H H CH3 H HH 2 H H CH3 3 H 1 H H H CH3 H 5 CH3 Chair 2 H H H 2 1 6 H 4 6 Chair 1 H H 4 H H H CH CH3 3 H H 2 H The monoaxial, monoequatorial dimethylcyclohexane has three gauche butane type interactions; this results in a destabilization of this isomer by a total of 2.7 Kcal/mole. H H H 1 6 H CH3 CH3 Same for this form. Each of these isomers will be present in equlibrium in equal amounts, (50% : 50%) since they are of equal energy. d) cis-1,3-dimethylcyclohexane Chair 2 Chair 1 H H H H H H H CH3 H H CH3 H H HH H H H H H H CH3 CH3 H H H H H 2 1 H CH3 CH3 6 1,3-diaxial CH3-CH3 interaction (3.7 Kcal/mol destabilization) Chair 1 has no destabilizing steric interactions; the two equatorial methyl groups are both anti-butane type. Chair 2 has two gauche butane interactions (0.9 kcal/mole each; dotted arrows), in addition to the 3.7 Kcal/mol (solid arrows) for a total of 5.5 Kcal/mole! 58 H H 651.06 e) Various mono-substituted cyclohexanes = H coming out of page = H going into page dot ! Hd H H H CR1 R2R3 Hb R2 Ha H H R1 H Hb Hc He Hd H H CR1 R2R3 H H R1 Ha(eq) Hc Ha dot ! He H R3 R2 equatorial H R3 Ha(eq) axial Destabilizing Interactions R1 R2 R3 Equatorial Axial H H H none (2) g.b. Energy Diff. (kcal/mol) 1.8 Me H H (2) g.b. (2) 1,3-diax. 5.6 H Me H (1) g.b. (3) g.b. 1.8 H H Me (1) g.b. (3) g.b. 1.8 Me Me H (3) g.b. 5.6 H Me Me (2) g.b. (1) g.b. plus (2) 1,3-diax. (4) g.b. Me H Me (3) g.b. 5.6 Me Me Me (4) g.b. (1) g.b. plus (2) 1,3-diax. (2) g.b. plus (2) 1,3-diax. 1.8 5.6 f) 6-member ring heterocycles H H O O H CH3 H CH3 CH3 CH3 H 3C O O H 3C CH3 CH3 favored ΔGo ≈ -2 kcal/mol Why? 59 651.06 g) Other rings 5: HH H H H H H H H H HH “envelope” “half-chair” (2 of them) 8: H HH H “boat-chair” “chair-chair” or “crown” 10: HH HH “boat-chair-boat” cyclohexene: H H H H H H H H H 60 H H H H H H H 651.06 h) Bicyclics decalin: H trans H H H Ha H Hb ring-flip Ha Hb H cis H H H H (3) 1,6-interactions = 3 ( 0.87 kcal/mol ) = 2.61 kcal/mol methyldecalin: CH3 CH3 vs H H H H H CH3 H H CH3 H VS H 4 gauche 5 gauche ΔE = 0.9 kcal/mol 61 651.06 Stereochemistry and Chemical Reactions Increasingly important topic: the FDA has mandated that all new drugs be sold as single enantiomers! Much effort is now put in to the development of enantioselective reactions and asymmetric catalysis. A) Achiral compounds. Achiral compounds react with achiral reagents to produce achiral products. 1) Addition of an achiral reagent to an achiral substrate a) bromination of an achiral olefin Formation of bromonium ion intermediate from either face of the olefin generates the same symmetrical (achiral) species Br+ C CH2 CH3 CH3 CH3 C Br2 CH2 CH3 achiral Br- BrC CH3 CH3 Br C CH3 CH2 Br Achiral and identical Identical achiral CH3 Br- CH2 Br- Br+ CH3 CH2 Br C CH3 Br b) osmylation of an achiral olefin Syn addn OsO 4 below olefin. CH3 CH3 CH3 CH3 achiral achiral 1) OsO4 2) NaHSO3 CH3 CH3 C CH CH3 3 C OH OH Achiral and identical Syn addn OsO 4 above olefin. 62 OH HO C CH3 CH3 C CH3 CH3 651.06 B) Prochiral compounds. Prochiral compounds are an important subclass of achiral compounds (those containing no preexisting chiral centers). Prochiral materials bear at least one sp2 atom which becomes a stereogenic center in the course of a chemical reaction. Prochiral compounds react with achiral reagents to produce racemic products (enantiomers have exactly equal free energy and therefore will be formed in equal amounts when produced from achiral reagents). Optical activity never arises spontaneously in the reactions of prochiral compounds. Prochiral center (becomes a chiral center in the product) H CH3 H C CH2 Br- Br+ C CH2 CH3 Br - Br 2 H prochiral CH3 Br - C 50% R C CH2Br The two enantiomers are produced in exactly a 50:50 ratio or CH3 Br H CH2 Br- CH3 Br+ CH2Br H 50% S C Br Formation of bromonium ion intermediate is equally likely from either face of the olefin. c) bromination of a prochiral olefin d) osmylation of a symmetrical trans-olefin Syn addn OsO 4 below olefin. OH Anti addn CH3 H CH3 CH3 H CH3 OH H meso H 1) OsO4 2) NaHSO3 Syn addn OsO 4 above olefin. H CH3 CH3 CH C OH OH 50% R,R OH HO C H C CH3 CH3 H 50% S,S These enantiomers will be produced in equal amounts since OsO 4 is an achiral reagent and access to either face of the olefin is equally likely. Anti addition (to give the meso compound from a symmetrical trans-olefin) is not observed since OsO4 adds via a concerted syn addition mechanism! 63 651.06 C) Chiral compounds. 1) Pure enantiomers a) bromination of a single enantiomer of a prochiral olefin Formation of bromonium ion intermediate is preferred from the top face (steric effect). Symchiral single enantiomer (optically active) prochiral center H C CH2 CH 3 H (S) Cl Br H Br- Br+ H C CH2 H C CH 3 Br Cl Br 2 This stereogenic center remains the same in starting material and product. (S)C 3 optically active (S,R) diastereomer Major product Cl Br - C CH 2 C CH 3 Br+ Cl CH CH2Br Major H H H (R) C Minor CH2Br H Br- (S) C H (S) C Br CH3 optically active (S,S) diastereomer Minor product Cl The two transition states have different energies; therefore the two diastereomeric products will be formed in unequal amounts. When reactions can produce a mixture of diastereomers, the products will always be formed at different rates; thereby producing unequal amounts of the diastereomers. The ratio of the diastereomers can be either almost 50/50 or may range up to >99.9999 to .0001 but, in principle, one expects that diastereomers should be formed in differing amounts since they have different free energies. 64 651.06 Stereospecificity: The product (or mixture of products) from the reaction of two (or more) isomeric starting materials under the same reaction conditions are different. Br + Br + Br2 Br- Br + Br erythro Br Br Br - + + Br2 Br + Br Stereoselectivity: Br Br Br threo Br given a particular starting material and a particular set of reaction conditions, one of the possible diastereomers / enantiomers is formed in excess. H MeMgBr O OH tBuOOH OH Ti(OiPr)4 HO CO2Et HO CO2Et 65 OH O 651.06 2) Racemic mixtures When the starting material of a chemical reaction is a racemic mixture (a 50:50 mixture of one enantiomer and its mirror image) the creation of a new chiral center again results in the formation of diastereomers. However in this case, each of the diastereomers is accompanied by equal amounts of its mirror image so a racemic mixture of diastereomeric products is formed. a) bromination of a racemic prochiral olefin Br+ C CH2 H C CH3 BrH H H (S) Cl C CH2 CH3 Cl (S,R) stereisomer Major product - Br C Cl C CH3 H Cl CH2Br (R)C CH3 (R,R) stereisomer Minor product Br- C Cl Br+ (S) C H (R) C Major CH 2Br H CH2 Cl Br CH3 (R,S) stereisomer Major product The (S,R/R,S) racemic stereoisomers are diastereomeric to the (R,R/S,S) racemic stereoisomers. 66 enantio mers H (R) C Minor CH 3 H Br H enantiomers CH3 Br 2 Br CH3 (S,S) stereisomer Minor product Cl C CH2 Cl Br C (S) C (S) C Br+ H H H Minor H CH 2Br H CH2 C CH3 Br+ 50:50 R:S Enantiomeric mixture (R) CH3CH2Br C (S) Major H H H H Br 2 Cl C CH2 Cl Br H (R) C 651.06 3) Resolutions of racemic mixtures. An analogous situation occurs when we consider the reaction of enantiomers with a chiral reagent. This also results in the formation of a pair of diastereomers; once again, since diastereomers have different energies, they should be formed in unequal amounts. This allows us to perform resolutions (chemical separations of enantiomers). Classical resolution: Single enantiomer (1.0 equivalent) slow R* R,S fast a racemic dl pair (1:1 mixture of enantiomers) R,R* S,R* Diastereomers If this reaction is run until the total amount of the slow-reacting component has been completely consumed, it will produce a 50:50 mixture of two diastereomers which can be separated. If we then perform chemistry on the diastereomers to regenerate the two component parts, we would have achieved a classical resolution by forming (and then cleaving) the diastereomeric derivatives. Kinetic resolution: Consider the limiting case where the slow reaction is about 100 times slower than the fast reaction, and we use only 1/2 the stoichiometric quantity of our optically active reagent R*; this will provide the following mixture: Single enantiomer (0.5 equivalent) slow R,S R,R* (almost none formed ...ca. 0.5% yield) R* a racemic dl pair (1:1 mixture of enantiomers) fast S,R* (50% formed) + 50% recovered R enantiomer Easily separated; each in essentially optically pure form. 67 651.06 D) Asymmetric induction. Reaction of achiral compounds with optically active chiral reagents allows the stereogenic center of the reagent to take an active part in the creation of a new stereogenic center on the substrate (a diastereomeric process). To the extent that these two reaction pathways differ in energy, absolute stereochemistry will be induced in the product; a process referred to as asymmetric induction. We measure the effectiveness of such a process in terms of enantiomeric excess (ee). Pro-R transition state Cl R B O H Me H Me t-Bu Cl H + Me prochiral center t-Bu C CH3 Severe interaction O Me Me Me Me B Me (R) Center created at *'d stereogenic atom Pro-S transition state Prochiral ketone Me Me R B H OMe * t-Bu Cl Cl R B O H t-Bu H Me Me Moderate interaction Cl H Me + R B O H t-Bu * Me (S) Center created at *'d stereogenic atom The optically active borane is unsymmetrical. There are two different orientations (transition states) from which the hydrogen from the borane can be delivered to the carbonyl group of the ketone. The (Pro-S) transition state has smaller through-space interactions between the methyl group on the borane and the methyl group of the ketone and is therefore preferred. 68 651.06 Stereochemistry of Reactions (cont.'d)) 1) Cram’s Rule To explain the selectivity seen in nucleophilic addition to carbonyls NaBH 4 + O OH OH Minor MAJOR Cram proposed the following rule (where S, M, L denote the size of the substituent) JACS 1952, 74, 5828 JACS 1959, 81, 2748 HO Nu S M R L O S M R Nu OH R L L M S M O S L R M Nu OH S Nu Nu R L M R minor OH L S Nu major 1 : 1.5 - 4 According to Cram, the nucleophile should attack from the side of the smallest substituent. -assumes a reactive conformer when L eclipses R -problem: when M = Cl the wrong product is predicted 69 651.06 2) Karabatsos model MO S R L Nu -assumes a reactant-like transition state -Nucleophile approaches from side of S. -model breaks down when S ≠ H JACS 1965, 87, 1367 JACS 1969, 91, 1124, 3572 & 3577 3) Felkin-Ahn model O S L R M Nuc vs M O L S R A B TL 1968, 2199 -observation previous models suffer from torsional strain -assumptions: a) reactant-like transition state b) incoming nucleophile avoids L c) incoming nucleophile will approach anti to most electroneg. atom Which to use? a) as M or R increase in size, B is favored over A b) if an electronegative atom (-O, -N, -X) is present, make it L and make the larger of the two remaining substituents M. c) does not work well for cyclic systems 70 651.06 tBu OH OLi + tBu O OH A (syn / Cram) H tBu + O C (anti / Cram) 86% 0% O tBu OH tBu + O OH B (syn / anti-Cram) O D (anti / anti-Cram) 14% 0% syn / anti > 98 : 2 Cram / anti-Cram 6:1 4) Cieplak Hypothesis O CH3 MeLi OH + OH CH3 minor MAJOR Cieplak proposed “that the carbonyl group has undergone extensive pyramidalization in the transition state, and the outcome is primarily a consequence of interactions between the vicinal occupied σ orbital and σ∗ orbital of the incipient bond between the nucleophile and the carbonyl group.” Eliel & Wilen, Stereochemistry of Organic Compounds, Wiley & Sons: NY, 1994. Nu Filled O Filled Vacant !" vs O Vacant !" Nu axial approach equatorial approach 71 651.06 O HO OH NaBH 4 + i-PrOH X X H X Z E X E/Z Cl 59:41 p-Cl-C6H5 60:40 C6H5 58:42 p-HO-C6H5 44:56 p-H2N-C6H5 34:66 H O O RCO3H + F F 66 F : see: JACS 1981, 103, 4540 JACS 1989, 111, 8447 JACS 1986, 108, 1598 72 34 651.06 5) Bürgi - Dunitz Angle Angle of nucleophilic attack to an sp2 hybridized carbon should be ~110o! ~110 o O Nuc This was proved by the following crystallographic data O O O CH3 O N(CH3) 2 Ph Ph N O Methadone O Cryptopine O O O O O O O N O O O O O O O O H O O N N Protopine Retusamine Clivorine CH3 N C O Compound C=O Length (Å) N…C Distance (Å) N-C-O Angle methadone 1.214 2.910 105.0 cryptopine 1.209 2.581 102.2 protopine 1.218 2.555 101.6 clivorine 1.258 1.993 110.2 retusamine 1.38 1.64 110.9 N-brosylmitomycin A 1.37 1.49 113.7 JACS 1973, 95, 5065 JACS 1974, 96, 1956 73 651.06 Ph Ph O Ph Ph NaBH4 NH NH Why? O O 6) OH Baldwin’s Rules (J. Chem. Soc. Chem. Comm. 1976, 734) Exo X X Y Y Endo Y X X Y a) Tetrahedral systems 1) 3 to 7-Exo-Tet are all favored processes with many literature precedents 2) 5 to 6-Endo-Tet are disfavored ! ! X X Y 3-Exo-Tet != Y X 180" X X Y Y 4-Exo-Tet 5-Exo-Tet Y Y X X Y Y X 5-Endo-Tet 6-Endo-Tet 7-Exo-Tet 74 X Y 6-Exo-Tet 651.06 b) Trigonal systems 1) 3 to 7-Exo-Trig are all favored processes with many literature precedents 2) 3 to 5-Endo-Trig are disfavored, 6 to 7-Endo-Trig are favored X ! Y Y X 3-Exo-Trig X X 5-Exo-Trig Y Y Y 7-Exo-Trig Y Y X X 3-Endo-Trig X Y X 6-Exo-Trig Y 4-Exo-Trig Y Y X Y X ! X ! = 109" 4-Endo-Trig X 6-Endo-Trig 5-Endo-Trig 7-Endo-Trig c) Digonal Systems 1) 3 to 4-Exo-Dig are disfavored processes, 5 to 7-Exo-Dig are favored 2) 3 to 7-Endo-Dig are favored processes X ! ! " 120# ! X Y ! Y 75 ! 651.06 X Y 3-Exo-Dig X X X Y 3-Endo-Dig Y 4-Exo-Dig X Y 6-Exo-Dig 5-Exo-Dig Y 7-Exo-Dig Y Y Y X X X X 6-Endo-Dig 5-Endo-Dig 4-Endo-Dig Y Y X 7-Endo-Dig ex. O O rig -T xo 5-E O HO MeO 5-E nd o-T rig CO2Me O 7) Anomeric Effect A polar group on a carbon α to a heteroatom prefers the axial position. One set of lone pair electrons on the polar atom connected to the carbon atom can be stabilized by overlapping with an antibonding orbital of the bond between the carbon and the other polar atom. Y X Y vs X !" !" 76 X= electronegative atom 651.06 OH HO HO OH OH O HO HO OH OH O OH • Kinetic anomeric effect: O Cl Ag+ O O MeOH OMe O OMe 8) Stereoelectronic Control O OLi O LDA E E O + E cis 45 trans : 55 look at the transition state: E cis E cis (cis) O boat-like OLi O trans E trans (trans) E 77 chair-like 651.06 O O O R CH3 I base O CH3 R R CH3 R + trans cis R H 2 1 CD3 2 1 CO2R 4 1 E axial CO2R E (ax.) OR CO2R base H H minor OM (5-7:1) CO2R equatorial E (eq.) E MAJOR see: JACS 1956, 78, 6629 9) Macrocyclic Stereocontrol 1) LDA O O O 2) MeI + O 50 O : Tetrahedron 1981, 37, 3981 works for rings ≥ 9 members 78 O 1 651.06 O H O E approaches from exterior of the ring See, for ex. JACS 1984, 106, 1148 10) Acyclic Stereocontrol The stereochemistry of the molecule near the reaction site determines / influences the stereochemistry of the reaction product. OH R1 LDA CO2R2 O O OR2 H Li O Li O R1 R1 H OR2 E N OH CO2R2 R1 E t BuOOH, VO(acac)2 OH CH2 Cl2, 0o C O + OH 95 for a general review: Tetrahedron 1980, 36, 3 79 : Li O 5 OH 651.06 Example – Diastereoselective reduction of β-hydroxyketones: OH O OH O NaBH4 Zn(BH4)2 OH OH OH OH O O Zn H-BH4 OH O NH4+ -BH(OAc)3 OH OH OH H OH O H B OAc O OAc 80 OH H OH
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