Conjugated Unsaturated Systems • Allylic Substitution and the Allyl Radical Basic Organic Chemistry • Stability of the Allyl Radical and Allyl Cation • Rules for Resonance 2302202 • Stability of Conjugated Dienes • UV‐Vis Spectroscopy Dr Rick Attrill Office MHMK 1405/5 • Diels‐Alder Reaction 1 Examples of Conjugated Unsaturated Systems 2 Allylic Substitution and the Allylic Radical Propene reacts with Br2 and Cl2 by the usual electrophilic addition reaction at room temperature in the absence of ultraviolet radiation. CH3CH=CH2 + X2 room temp no h CH3CHXCH2X But at high temperatures, and under conditions where [X2] is low, allylic substitution occurs: CH3CH=CH2 All of these examples have a p orbital on an atom adjacent to a double bond. This allows the formation of an extended or delocalised bond, one that encompasses more than two nuclei. These systems are called conjugated unsaturated systems and the general phenomenon is called conjugation. Conjugation gives these systems special properties. + X2 high temp or low [X2] XCH2CH=CH2 + HX Allylic substitution is a general reaction that proceeds by a free radical chain mechanism that involves allylic radicals. 3 4 Role of Bond Dissociation Energy (Ho) A Free Radical Chain Mechanism The stability of the allyl radical intermediate, as revealed below by the lower bond dissociation energy for an allylic C-H bond, is a key feature of this reaction. Initiation : : : : : : h or heat :Cl:Cl: 2 :Cl . A Comparison of Ho Values for C-H Bonds Propagation steps H H : : C H . H + Cl: C C C H H H CH2=CHCH2-H + :Cl:Cl: . C H C C H allyl chloride CH3 CH3-C . CH3 CH3 CH3-C-H CH3 -369 + H. -400 tert-butyl Cl + . Cl: H CH3-C . + H . CH3 H CH3-C-H CH3 C H . CH2=CHCH2 + H . allyl : : H + HCl H : : : : C . C H allyl radical H H C C H HH propene Ho (kJ/mol) H HH I N C R E A S I N G -413 isopropyl In this free radical chain reaction, the chain carriers are the allyl radical and the chlorine radical. The two propagating steps recycle thousands of times before termination reactions scavenge the chain carriers. CH3CH2CH2-H 5 CH 2=CH-H . CH3CH2CH2 + H . -423 B O N D S T R E N G T H propyl . CH 2=CH + H . -465 6 v iny l Relative Stabilities of the Carbon Radicals N-Bromosuccinimide (NBS), Used for Allylic Bromination Since the DHo values are the standard heats evolved in forming the C-H bonds, they provide a measure of the relative stabilities of the vinyl . several different types of carbon radicals. N-Bromosuccinimide is a derivative of succinimide: primary . allyl . + H. CH3CHCH3 tertiary . + H. CH3CCH3 CH3 + H. . C OH O CH3CH2CH2 + H. N-Br O (kJ/mol) NBS CH3CH2CH3 O N-Bromosuccinimide + H-Br O + H + :Br: N Br O : : : 400 CH3CH2CH3 N -Br H2O Succinimide O 369 (CH3)CH N-H (NBS) NBS reacts with HBr to produce Br2: 423 CH2=CHCH3 O NaOBr O Succinic acid 465 413 DHo Ammonium salt heat = secondary O = Increasing Stability CH2=CHCH2 O COH CH2=CH + H. O N-H + Br-Br O Succinimide This is the reaction that constantly provides the low concentration of bromine needed yet never affords so much bromine that addition of bromine to the double bond occurs. It also helps limit addition by scavenging bromide ion needed to complete the addition process. CH2=CH2 7 8 A Mechanism for Allylic Bromination with NBS Initiation of the free radical chain reaction may be by any or all of the reaction sequences below: Allylic Bromination h or heat RO-OR Bromination of the allylic position is carried out in the presence of a catalytic amount of peroxide (ROOR), or under irradiation, to initiate radical production. . CH2=CH-CH2 + RO-H CH2=CH-CH3 + RO . chain carrier or O O : CH2=CH-CH3 N-Br + 2 RO . homolysis h or heat : N-Br h or ROOR O O N. homolysis CCl4 O chain carrier O O CH2=CH-CH3 + O . CH2=CH-CH2 + : N-H CH2=CH-CH2Br + Allyl bromide (3-Bromopropene) O + Br . N. O chain carrier O N-H O or Br-Br 9 . CH2=CH-CH2 + H-Br + Br . chain carrier . (2) CH2=CH-CH2 + Br-Br 2 Br . chain carrier 10 Extended -Systems; Conjugated Systems Propagating Steps in Allylic Bromination (1) CH2=CH-CH3 h homolysis The special properties of conjugated unsaturated systems arise from overlap of the p-orbital on the adjacent carbon with the -system of the alkene. chain carrier CH2=CH-CH2Br + Br . chain carrier chain carrier C=C C As in all free radical chain reactions, the concentrations of the chain carriers (radical intermediates) are extremely low, so radical-radical recombination reactions (terminations) only occur infrequently. The propagating steps cycle thousands of times before terminations occur. A conjugated unsaturated system The H-Br produced reacts rapidly with NBS to give succinimide and Br2. Thus, while Br2 is not an explicit reagent, it is constantly being produced by the reaction below. In the nonpolar solvent (CCl4), and at the low concentrations of Br2 and HBr, little electrophilic bromination of the alkene function occurs. O O + H-Br : : : N-Br O + H + :Br: N Br O C C C An allylic cation, radical or anion Conjugation means a -system has been extended by overlap with p-orbitals on adjacent carbons. A -system of three overlapping p-orbitals is called allylic. O Other important conjugated systems include those that contain directly attached multiple bonds, e. g. N-H + Br-Br 1,3-butadiene. O 11 12 Resonance Theory Description of the Allyl Radical Two equivalent resonance structures can be drawn H for the allyl radical: C H C 2 H C . H C 2 1 . H 3C H C 3 1 H H B H A Structures A and B are interchanged by moving single electrons, as shown by the use of single barbed arrows. The positions of nuclei do not change. THEY DO NOT HAVE SEPARATE EXISTENCE. The radical is a hybrid of the two. The Allyl Radical H Hybridization of the three atomic orbitals to form three orbitals A single structure depiction of the allyl radical is C below. It has the great advantage that it avoids giving the erroneous impression that this radical is a mixture of A and B, a common misconception. H H 1 . 2 C C1 H C 1 . 2 C3 Nevertheless, representations like A and B are often used because they employ the more traditional depiction of covalent bonds, which make for easier accounting of electrons. H H Resonance theory predicts a symmetrical structure for the simple allyl radical. 13 Stability of the Allyl Radical Symmetry of the Allyl Cation Both molecular orbital theory and resonance theory explain the greater stability of the allyl radical relative to simple alkyl radicals. The hybrid structure below indicates the symmetrical structure of the allyl cation: H H C C 1 2 H H C 3 H H Molecular orbital representation H 1 . 2 C1 C 14 1 . 2 C3 H H H H H Resonance t heory represent at ion 1 2 1 C 3 H C1 2 H A new -system of three overlapping p-orbitals with three p-electrons is depicted with each method. C 2 H This structure implies (1) equivalent carbon-carbon bonds with a bond order of one and one half and (2) an equal distribution of the positive charge between the terminal carbons, C1 and C3. In the extended -system, the p-electrons are delocalized over three atoms. In simple alkyl radicals, the single nonbonding electron is localized on one atom. This delocalization stabilizes the allyl radical by decreasing electron density. The allyl radical is even more stable than a tertiary radical. 15 16 In fact, the allyl cation is much more stable than a simple 1o carbocation. The hybrid (the real molecule) is lower in energy because of stabilization by resonance. This decrease in energy is called resonance energy. The Allyl Cation + 1/2 + C 3o Substituted allylic Allyl C H 2o 1o CH2 B Resonance energy B OR H C H + + > C-C+ > CH2=CH-CH2 > C-C+ > C-C+ > CH2=CH OR CH2-CH=CH2 A Stability Order of Carbocations A + + CH2=CH-CH2 C=C-C-C Unhybridized Alternative depictions of the hybrid allyl cation: The allyl cation, CH2=CH-CH2+, is a very stable carbocation, almost as stable as a tertiary carbocation. 1/2 + CH E N E R G Y CH2 Vinyl Hybrid cation Benzene and other aromatic compounds provide important additional examples of resonance stabilization. Alternative depictions 17 Resonance structures for benzene The benzene hybrid 18 The Molecular Orbitals of the Allyl Cation Resonance Theory Description of the Allyl Cation Resonance theory describes the allyl cation as a hybrid of the two equivalent resonance structures A and B: H H C C H + H 2 3 1 A C H C H + C1 H 2 3 H B C H H In the drawing of structures A and B, the interconversion is limited to the moving of pairs of electrons. The positions of the nuclei are fixed. The hybrid C is symmetrical in the simple allyl cation, with the positive charge distributed equally between H C1 and C3. The carbon-carbon bonds are equivalent and have a bond order of one and one half. H 1 2 + C + C3 C1 H 1 2 C H H The stability and reactivity of allyl-type cations are explained by resonance theory. The hybrid is lower in energy than either contributing resonance structure of the allyl cation, with the degree of stabilization due to resonance called resonance energy. 19 20 Rules for Writing Resonance Structures (3) Resonance structures must be proper Lewis structures. The valency rules must be followed. The resonance concept gives insight into the reactivity and stability of organic structures. (1) Resonance structures exist only on paper. They provide a picture of the location of valence-level electrons within a structure. When two or more electronic representations can be written, they are called resonance structures, and are connected by double-headed arrows ( ). The real molecule is a hybrid of all the resonance structures. : There are too many electrons around the carbon atom Not a resonance structure (2) In writing a set of resonance structures, only the electrons are moved. The positions of the nuclei remain the same. (4) All resonance structures must have the same number of unpaired electrons. + + -H + H-C=O-H H : : H H-C-O-H H CH3-CH-CH=CH2 CH3-CH=CH-CH2 A B Resonance structures H C H C A and B interconvert by moving an electron pair. H H H Allyl radical + CH2-CH2-CH=CH2 . H C H three unpaired electrons Not a resonance structure one unpaired electron Not a resonance structure. It is a structural isomer formed by shifting an H. H . C H . C . H C 21 22 (7) Equivalent resonance structures make equal contributions to the hybrid and typically afford a large resonance stabilization. (5) All atoms that are part of a delocalized electron system must be in a plane, or nearly in a plane. This 1,3-butadiene acts like a nonconjugated diene because the two double bonds lie in different planes. The large tert-butyl groups impose a twist around the C2-C3 bond. 4 (CH3)3C 1 H2C 2 3 C C In benzene, the two resonance structures 1 1 2 6 at right are equivalent. There is a very 6 large calculated resonance stabilization of 5 3 5 about 152 kJ/mol in benzene relative to 4 4 Benz ene the hypothetical cyclic polyene 1,3,5-cyclohexatriene (the name for each of the resonance forms if the double bonds were fixed in position). CH2 C(CH3)3 2,3-Di-tert-butyl-1,3-butadiene + Propyl cation CH2 = CH2-CH=CH2 Allyl cation + CH3CH2CH2 + CH2 + CH2 + + B B Hybrid - A B :O: :CH2-C-CH3 Hybrid :O: + CH3-C O-H 24 Hybrid : :O: + CH3-C=O-H : :O: CH3-C-O-H : : 23 A = A :O: :CH2-C-CH3 - : However, because of delocalization of charge in the allyl case, it would be an appreciably more stable ion. - :O: CH2=C-CH3 = + : CH2=CH-CH2 3 (8) Nonequivalent resonance structures make unequal contributions to the hybrid. The more stable a structure, the more it contributes to the hybrid. In each example below, structure A makes the larger contribution to the hybrid. (6) The energy of the hybrid (the real molecule) is lower than the energy of any single resonance structure. The energy of the allyl cation might be predicted to be similar to the propyl cation, since both seem to be 1o carbocations. 2 Estimating the Relative Stabilities of Resonance Structures: Some Guidelines Relative Stabilities of Resonance Structures, Continued (1) The more covalent bonds in a structure, the more stable it is. (3) Charge separation decreases stability even when the number of covalent bonds remains the same. Electrons are stabilized when they form covalent bonds. Alternatively, separating charges (creating positive and negative charges) by localizing a pair of electrons on one atom, raises the energy of a structure. : CH2-CH=Cl: Minor contribution Major contribution Minor contribution 1,3-Butadiene + : : CH2=CH-Cl: CH2-CH=CH-CH2 Major contribution - : : - + CH2=CH-CH=CH2 Vinyl chloride (2) Structures where all the atoms have a complete valence shell of electrons are especially stable (octet rule) and make a major contribution to the hybrid. + : : + CH2-O-CH3 : CH2=O-CH3 Minor contribution (Only 6 electrons around C) Major contribution 25 26 Alkadienes and Other Polyunsaturated Hydrocarbons Hydrocarbons may contain more than one carbon-carbon double or triple bond. They also may have combinations of double and triple bonds. If the multiple bonds are separated by just one single bond, the compounds contain conjugated systems. EXAMPLES 5 Examples Isolated dienes have double bonds electronically isolated from each other (separated by two or more single bonds). 2 1 2 4 2 3 CH2=C=CH2 4 1 3 3 1 (3Z)-1,3-Pentadiene (cis-1,3-Pentadiene) CONJUGATED 1,3-Butadiene 1,2-Propadiene CONJUGATED CATEGORIES OF POLYENES 1,5-Hexadiene Conjugated dienes have double bonds connected by just one single bond: 1,3-Butadiene 3 2 5 2 4 3 4 1 1 Cumulenes contain two double bonds that have a common central carbon that is sp hybridized. 5 1-Pentene-4-yne 6 1,4-Cyclohexadiene 2 1 6 4 3 5 C=C=C C C H H C H C=C=C H Allene (1,2-Propadiene) 8 A "cumulated" system 7 (2E,4E,6E)-2,4,6-Octatriene (trans, trans, trans-2,4,6-Octatriene) CONJUGATED 27 28 Conformations of 1,3-Butadiene 1,3-Butadiene: Bonding in a Conjugated Diene Rotation around the C2-C3 bond in 1,3-butadiene leads to different conformations, including two different planar conformations. In these two planar conformations, overlap of the p-atomic orbitals is maintained leading to extended -systems. The two planar conformations (s-cis and s-trans) are more stable than the nonplanar conformations. The C-C bond lengths in 1,3-butadiene have been measured: 1 2 CH2=CH o 3 4 CH=CH 2 o o 1.34 A 1.47 A 1.34 A For comparison o CH2=CH2 1.34 A o CH3 CH3 1.54 A The carbon-carbon double bonds are within experimental error the same length as the bond in ethene. But the C2-C3 bond is much shorter than the C-C bond in ethane. fast s-cis s-trans One interpretation of this difference is based on the different hybridizations at C, and the type of hybrid orbital projected out from carbon as shown in the following table. These two conformations rapidly interconvert by rotation around the single bond. The more stable s-trans dominates in the equilibrium at room temperature. 29 30 The Molecular Orbitals of 1,3-Butadiene Effect of Hybridization on C-C Bond Length Compound Hybridization States of Bonding Carbons Bond Length o (A) H3C CH3 sp3--sp3 CH2=CH CH3 sp2--sp3 1.54 1.50 CH2=CH CH=CH2 sp2--sp2 1.47 1.46 HC C CH3 sp--sp3 HC C CH=CH2 sp--sp2 1.43 HC C C CH sp--sp 1.37 The varying lengths of the carbon-carbon single bonds reflect the different lengths of the hybrid atomic orbitals projected by the carbon atoms. C C C sp sp2 sp3 Increasing length 31 The four -electrons fill the two bonding molecular orbitals, 1 and 2, in the ground electronic state. Electronic excitation from 2 to 3 (HOMO to LUMO) occurs with absorption of a photon of wavelength 217 nm. 32 Heats of Hydrogenation Reveal Extra Stability in Conjugated Dienes 2 + 2 H2 + 2 H2 15 kJ/mol Ho = -254 kJ/mol Ultraviolet-Visible Spectroscopy Ho The ultraviolet portion of the electromagnetic spectrum has wavelengths that vary from 200 to 400 nm. The visible portion includes wavelengths from 400 to 800 nm. Absorption of radiation throughout the ultraviolet-visible region is associated with electronic transitions from filled to unfilled molecular orbitals. = -239 kJ/mol Ho 2 Possible Sources of the Extra Stability in Conjugated Dienes (1) The shorter C2-C3 bond provides a stronger bond that stabilizes the conjugated diene. (2) The small amount of additional delocalization of the -electrons stabilizes the conjugated diene. This extra stability of conjugated dienes is also revealed in a comparison of the electronic absorption spectra (ultraviolet-visible spectroscopy) of hydrocarbons of these types. 33 34 Ultraviolet-Visible Spectrophotometers The Beer-Lambert Law Radiation from a source lamp is split into two equal beams. This empirical law relates the absorption of radiation by a sample to several parameters: IR is the initial radiation intensity at a wavelength . One beam passes though a sample (usually in solution in a transparent cell). The other beam serves as a reference for determining the amount of radiation absorbed by the sample at each wavelength. IR sample [C] IS is the intensity of the transmitted light at the wavelength after passing through a sample with a path length l and a concentration C. IS l The Law states that the transmitted light intensity at a specified wavelength is related to the intensity of the initial light by Where is an intrinsic constant (the molar absorptivity) of the sample at wavelength , and the units are cm for length and mol/L for concentration. lC IS = IR 10 - Therefore, log IS IR = - lC OR log IR IS = lC AND the term adopted for this ratio of intensities is ABSORBANCE (A), so lC The intensities of IR and IS are compared at a series of wavelengths. This information is displayed according to the Beer-Lambert Law. 35 36 Chromophores Example: The UV absorption spectrum of 2,5-dimethyl-2,4-hexadiene in The absorption bands in uv-visible spectroscopy arise from electronic transitions from filled to unfilled molecular orbitals. Usually, these transitions can be assigned to specific structural components within the molecule called chromophores. methanol at a concentration of 5.95 x 10-5 M, in a 1.00-cm cell. Chromophores show characteristic wavelength absorption ranges and intensities (max). 0.9 Examples of Organic Chromophores max Compound Example Solvent max C=C 1-hexene C C 1-butyne heptane vapor 180 172 12,500 4,500 benzene water 254 203.5 205 7,400 acetone cyclohexane 275 190 22 1,000 Chromophore C=O (nm) A plot of absorbance versus the wavelength shows a maximum at 242.5 nm with Amax= 0.78. A B S O R B A N C E (M-1 cm-1) 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 200 210 220 230 240 250 260 270 280 nm 37 In simple alkanes, the only electronic transitions are s s* that occur in the vacuum UV region. Calculation of 242.5 for 242.5 = A242.5 Cxl = Alkenes show absorptions due to * transitions just below 200 nm (still below the range of most UV-visible spectrophotometers). 0.78 (5.95 x 10-5 M) x (1.00 cm) CH2=CH2 = 13,100 This experimentally determined absorption data appears in the literature as: max methanol 2,5-Dimethyl-2,4-hexadiene 38 Ethene 1,4-Pentadiene max 171 nm max 178 nm Polyenes absorb at longer and longer wavelengths as the number of conjugated double bonds increases. 242.5 nm ( = 13,100) 39 1,3-Butadiene trans-1,3,5-Hexatriene max 217 nm max 274 nm 40 Highly Extended Polyenes Conjugated -Systems Polyenes with 8 or more conjugated double bonds absorb in the visible region and are, therefore, colored. Some of these compounds occur in nature and have biological functions. CAROTENE is an example. When multiple bonds are conjugated, their p-orbitals overlap and a new set of -molecular orbitals form. These conjugated systems absorb at wavelengths above 200 nm. As shown in this diagram, the energy gap between the highest energy occupied orbital (HOMO) and lowest energy unoccupied orbital (LUMO), 2 and 3*, respectively, is smaller than that for a simple alkene. This allows a lower energy photon to effect the excitation, which results in a shift of the max to longer wavelength. Simple alkene 4* E N E R G Y 3*(LUMO) 171 nm -Carotene CH3 max 497 nm 16 (HOMO) 1 CH3 12 10 8 Antibonding molecular orbitals x 10-4 6 UV 4 Visible Note: As illustrated here, absorption spectral data sometimes are plotted as the molar extinction coefficient () against . 217 nm 2 (HOMO) CH3 Absorption at the violet end of the visible region leads to the yelloworange color of this plant pigment. 14 CH2=CH-CH=CH2 * (LUMO) CH3 CH3 CH3 CH3 CH3 Conjugated diene CH2=CH2 CH3 CH3 2 Bonding molecular orbitals 0 41 260 300 340 380 420 460 500 540 nm 42 The Carbonyl Function Analytical Applications of UV-Visible Spectroscopy Electronic spectroscopy finds wide use as an analytical tool in chemistry and other fields, especially biology. Very small amounts of materials may be measured in samples using the Beer-Lambert Law: A = xCxl : : : The characteristic electronic absorption in the isolated carbonyl group is the low intensity n * transition, where an electron in one of the unshared electron pairs (a nonbonding or "n" electron) is promoted to the carbonyl's * orbital. n * CH3 CH3 n * . . C=O C=O max 280 nm CH3 CH3 max 15 Acetone Excited state molar absorptivity Conjugation of the carbonyl function with an alkene double bond shifts both the n * and * transitions to longer wavelengths. = O CH2=CH-C-CH3 But-3-ene-2-one n * max 324 nm max 24 cell length in cm absorbance Conjugated Carbonyl Systems concentration in mol/L The absorbance (A) of a compound is linearly related to concentration (C) over a range of concentrations, when the measurements are made under identical conditions (temperature, solvent, wavelength). If not linear over the range of interest, or to demonstrate that it is linear, a calibration curve of the absorbance versus concentration may be prepared. * max 219 nm max 3600 43 44 Electrophilic Attack on Conjugated Dienes: 1,2- and 1,4-Addition Example of Utility of UV-Visible Spectroscopy Conjugated dienes display a more complicated mode of electrophilic addition than simple alkenes. Typically, more than one product is formed. A synthesis product contained compound X contaminated by Y. HCl 25 oC CH2=CH-CH=CH2 X Y 1,3-Butadiene Given that X has max 242.5 nm and 13,100 M-1 cm-1 in MeOH, what percent X is present in the mixture if a 5.00 x 10-5 M solution of it in MeOH has an absorbance of 0.400 at 242.5 nm in a 1.00-cm cell? H-Cl x 100% = Cl- 61.0% + + BrCH2-CH CH CH2 -15 oC (54%) 1,4-Addition product 1-Chloro-2-butene + + CH3-CH CH CH2 HBr If conducted at 40 oC (20 %) If conducted at -80 oC (80%) + CH3CH=CH-CH2Br (80%) (20%) Another Key Observation Br- While the two products are stable at -80 oC, at 40 oC the less stable 3bromo-1-butene isomerizes to the more stable 1-bromo-2-butene. 1,4 + 1,4 1,2 Br CH3CH-CH=CH2 (46%) 1,2 46 Br- + + CH3-CH CH CH2 (20 %) 1,2-Addition product 1,4 Br BrCH2CHCH=CH2 + BrCH2CH=CHCH2Br Br CH3CH-CH=CH2 CH3-CH=CH-CH2Cl CH2=CH-CH=CH2 1,2 HBr 40 oC CH3-CH-CH=CH2 Cl The ratio of products obtained from the reaction of butadiene and HBr depends on the temperature: Br- CH2=CH-CH=CH2 Cl- Kinetic Control versus Thermodynamic Control Other Examples of Competing 1,2- and 1,4-Additions Br2 More stable allylic-type cation 3-Chloro-1-butene 45 CH2=CH-CH=CH2 Less stable primary carbocation MAJOR + + H-CH2-CH CH CH2 0.400 M-1 cm-1)(1.00 cm) = 3.05 x 10-5 M 3.05 x 10-5 M 5.00 x 10-5 M (22%) H NOT + CH2-CH-CH=CH2 Evidenced H-Cl CH2 CH-CH CH2 0.400 = M-1 cm-1 x C M x 1.00 cm And the percent X in the mixture = 3-Chloro-1-butene (78%) Formation of the above two products, and absence of ClCH2CH2CH=CH2, could have been predicted by consideration of the carbocation intermediates. SOLUTION [Recall that Y would not absorb light above 200 nm.] So, using A = x C x l And then C (the concentration of X in the solution) = CH3-CH-CH=CH2 + CH3-CH=CH-CH2Cl Cl 1-Chloro-2-butene CH3CH=CH-CH2Br (80%) Thus 1-bromo-2-butene, CH3CH=CH-CH2Br, is favored But if this reaction is carried out at -80 oC, the ratio of products is exactly reversed. And, on warming this cold reaction product up to 40 oC, it equilibrates to the 20:80 ratio that would have formed at 40 oC. 47 Br thermodynamically, but 3-bromo-1-butene, CH3CH-CH=CH2 , is favored kinetically. 48 Ki Kinetic Control of Product Mixture h Thermodynamic Control of Product Mixture At the higher temperature, the products can revert back to the carbocation intermediate, providing a pathway for interconversion of the two products. Under this condition, the two products equilibrate, and the product mixture reflects the relative stabilities of the two products. +Br- faster CH2=CH-CH=CH2 + H+ +Br- slower + CH3CH CH CH2 -Br- +Br- at 40 oC +Br- Br CH3CH-CH=CH2 (20 %) + CH3CH CH CH2 Equilibration of 3-bromo-1-butene and 1-bromo-2-butene. + Br CH3CH-CH=CH2 (80%) at -80 oC CH3CH=CH-CH2Br (20%) IRREVERSIBLE at -80 oC -Br- The faster rate of attack by Br- at C3 is due to the greater CH3CH=CH-CH2Br (80%) charge density at that position relative to C1: + Product mixtures produced under such equilibrating conditions are formed under thermodynamic control. Br- + CH3CH-CH=CH2 CH3CH=CH-CH2 major contributor (charge on 2o C) minor contributor (charge on 1o C) 49 50 Energetics of the Product-Forming Steps The Diels-Alder Reaction A 1,4-Cycloaddition Reaction of Dienes slower faster -Br- -BrFE RN E ER EG Y A very useful cycloaddition addition reaction of 1,3-dienes and alkenes to produce cyclohexenes was discovered in 1928 by Otto Diels and Kurt Alder. They received the Nobel Prize in Chemistry in 1950 for this discovery. O O G1,4 G1,2 + + CH3CH CH CH2 Go formation Br CH3CH-CH=CH2 less stable + A diene in s-cis conformation CH3CH=CH-CH2Br more stable O O An alkene (maleic anhydride) O O A cyclohexene "adduct" This is an example of a 4 + 2 -electron cycloaddition. It involves a conjugated diene (a 4 -electron system) and an alkene (a 2 electron system). The latter is called a dienophile. Reaction Coordinate Under conditions of thermodynamic control, the product mixture is determined by the difference in the standard free energies of formation of the products: Go formation Under conditions of kinetic control, the product mixture is determined by the relative rates of product formation. The more rapid formation of the 1,2-addition product is because the energy of activation required there ( G1,2 ) is less than that required for 1,4-addition ( G ). 1,4 51 + During the reaction, the two -bonds in the diene and the -bond of the dienophile are transformed into two new -bonds and one new -bond in the adduct. 52 Factors Favoring the Diels-Alder Reaction Stereochemistry of the Diels-Alder Reaction This cycloaddition reaction is promoted by electron-withdrawing groups in the dienophile and electron-releasing groups in the diene. O O C CH3 CH3 H H + = = CH3 CH3 Propenal 2,3-Dimethyl1,3-butadiene (1) The Diels-Alder reaction is a syn addition and the configuration of the dienophile is retained in the product. H COOCH3 H COOCH3 H COOCH3 + (100%) Dimethyl maleate (cis) (68%) H COOCH3 Dimethyl 4-cyclohexenecis-1,2-dicarboxylate The Diels-Alder reaction is enhanced by high temperature and pressure. 200 oC + pressure = = The Diels-Alder reaction is enhanced by the presence of Lewis acids. O O CH3 CH3 OH CH3 O NOTE: The pair of dienophiles above are among the very few geometric isomers that have different names (maleate vs. fumarate) and do not require use of cis/trans or Z/E designations. OH (80%) 53 (2) In the Diels-Alder reaction, the diene must react in an s-cis conformation. In 1,3-butadiene, there is an equilibrium between the scis and s-trans conformations. Although the latter is more stable by 9.6 kJ/mol, this difference does not prevent reaction. fast Exo and endo describe the stereochemistry of groups attached to bridged bicyclic ring systems. The longest bridge (excluding the one carrying the exo or endo group) is the reference point. Groups that project away from this bridge are in exo positions. Groups that project toward this bridge are in endo positions. dienophile Diels-Alder adduct s-cis This requirement is responsible for the reactivity order of the following 1,3-dienes in the Diels-Alder reaction: H CH3 (rigid s-trans) No Reaction CH3 CH3 H cis, cis-2,4Hexadiene << H 54 (3) Cyclic dienes, such as cyclopentadiene, give endo products in the Diels-Alder reaction. slow s-trans (more stable) (95%) Dimethyl 4-cyclohexene- COOCH3 trans-1,2-dicarboxylate H OH = = O OH H D imethyl fumarate (t rans) ethyl ether, 25 oC O OCH3 CH 3OOC AlCl3 + H COOCH3 COOCH 3 H + Cyclohexene Ethene 1,3-Butadiene Example: a substituted bicyclo[2.2.1]heptane H H H H << H R (rigid s-cis) cyclopentadiene H CH3 trans, trans-2,4Most Reactive Hexadiene Steric hindrance makes s-cis conformation very difficult to achieve. Reference bridge 55 H exo Position R endo Position 56 Stereoselectivity in the Diels-Alder Reaction It is suggested that the diene and dienophile approach each other in parallel planes. The stereoselectivity arises because of the preference for the endo approach, which provides the more extensive orbital overlap. This results in a lower G for the creation of the endo adduct than for the exo. The Endo Rule The Diels-Alder reaction is stereospecific in regard to the configuration in the dienophile (syn addition), and it is stereoselective in regard to the orientation of unsaturated groups of the dienophile relative to a cyclic diene. H CO2CH3 H CO2CH3 The endo adduct is formed more rapidly and is the major product. H + H CO2CH3 CO2CH3 Dimethyl maleate Stereospecificity: CO2CH3 groups are cis (In both reactant and product; if they had been trans in the reactant, they would have been trans in the product.) Stereoselectivity: endo product is formed (When, as in this case, the reaction is under kinetic control.) 57 58 Molecular Orbital Picture of the Diels-Alder Reaction Additional Diels-Alder Examples Coplanar, so orbital overlap favors approach that leads to the kinetically favored endo adduct. The dimerization (and the laboratory preparation) of cyclopentadiene: room temperature (slow) + Cyclopentadiene = O H-C + H CH 3 + CH 3 H H high temperature ("cracking") endo-Dicyclopentadiene H H C C H H COOCH 3 C C COOCH 3 C =O H endo Adduct H CH 3 COOCH 3 COOCH 3 Electron-deficient alkynes also are good dienophiles. CH 3 59 Interaction of the orbitals that lead to the new C-C bonds of the adduct are shown in purple, and interaction of the orbitals that guide the reactants into the endo mode are shown in green. 60