β-Elimination Reactions dehydrohalogenation of alkyl halides: X = H; Y = Br, etc. 5.14 Dehydrohalogenation of Alkyl Halides X βC C Cα Y β-Elimination Reactions C + X Y Dehydrohalogenation dehydrohalogenation of alkyl halides: X = H; Y = Br, etc. X C β C Cα Y C + X Cl Y NaOCH2CH3 ethanol, 55° 55°C (100 %) requires base likewise, NaOCH3 in methanol, or KOH in ethanol Regioselectivity Dehydrohalogenation When the alkyl halide is primary, primary, potassium terttert-butoxide in dimethyl sulfoxide (DMSO), a strong non-protic non-protic polar solvent is the base/solvent system that is normally used. CH3(CH2)15CH2CH2Cl KOC(CH3)3 dimethyl sulfoxide CH3(CH2)15CH (86%) CH2 Br KOCH2CH3 + ethanol, 70° 70°C 29 % 71 % follows Zaitsev's rule more highly substituted double bond predominates Stereoselectivity Question How many alkenes would you expect to be formed from the E2 elimination of 3-bromo-2-methylpentane? KOCH2CH3 ethanol Br A) 2 B) 3 + C) 4 (23%) (77%) D) 5 more stable configuration of double bond predominates Stereoselectivity Br KOCH2CH3 ethanol 5.15 The E2 Mechanism of Dehydrohalogenation of Alkyl Halides + (85%) (15%) more stable configuration of double bond predominates Facts (1) Dehydrohalogenation of alkyl halides exhibits second-order kinetics first order in alkyl halide first order in base rate = k[alkyl halide][base] implies that rate-determining step involves both base and alkyl halide; i.e., it is bimolecular Question The reaction of 2-bromobutane with KOCH2CH3 in ethanol produces trans-2butene. If the concentration of both reactants is doubled, what would be the effect on the rate of the reaction? A) halve the rate B) double the rate C) quadruple the rate D) no effect on the rate Facts The E2 Mechanism (2) Rate of elimination depends on halogen weaker C— C—X bond; faster rate rate: RI > RBr > RCl > RF implies that carbon-halogen bond breaks in the rate-determining step concerted (one-step) bimolecular process single transition state C—H bond breaks π component of double bond forms C—X bond breaks The E2 Mechanism R .. – : O .. The E2 Mechanism δ– .. O .. Transition state H R H C C C C : X: .. δ– : X: .. Reactants The E2 Mechanism R .. O .. H C C .. – : X: .. Products Question Which one of the following best describes a mechanistic feature of the reaction of 3-bromopentane with sodium ethoxide? ethoxide? A) The reaction occurs in a single step which is bimolecular. B) The reaction occurs in two steps, both of which are unimolecular. unimolecular. C) The rate-determining step involves the formation of the carbocation (CH 3CH 2)2CH +. D) The carbon-halogen bond breaks in a rapid step that follows the rate-determining step. 5.16 Stereochemistry: Anti Elimination in E2 Reactions Stereoelectronic Effects Stereoelectronic Effect Stereoelectronic Effect Br KOC(CH3)3 (CH3)3COH (CH3)3C cis-1-Bromo-4tertcis-1-Bromo-4-tertbutylcyclohexane (CH3)3C (CH3)3C trans-1-Bromo-4terttrans-1-Bromo-4-tertbutylcyclohexane Br (CH3)3C Stereoelectronic Effect cis Br (CH3)3C Rate constant for dehydrohalogenation of 1,4- cis is >500 times than that of 1,4trans Br (CH3)3C trans Stereoelectronic Effect cis KOC(CH3)3 (CH3)3COH KOC(CH3)3 (CH3)3COH Br KOC(CH3)3 (CH3)3COH (CH3)3C H H (CH3)3C KOC(CH3)3 (CH3)3COH (CH3)3C H that is removed by base must be anti coplanar to Br Two anti coplanar H atoms in cis stereoisomer Stereoelectronic Effect Stereoelectronic Effect trans H Br (CH3)3C H 1,4- cis more reactive KOC(CH3)3 (CH3)3COH H H (CH3)3C H that is removed by base must be anti coplanar to Br No anti coplanar H atoms in trans stereoisomer; all vicinal H atoms are gauche to Br; therefore infinitesimal or no product is formed Question Which would react with KOC(CH3)3/(CH3)3COH faster? 1,4- trans much less reactive Question Which would react with KOCH2CH3 in ethanol faster? A) cis-3tert-butylcyclohexyl -butylcyclohexyl bromide cis-3-tert A) cis-2tert-butylcyclohexyl -butylcyclohexyl bromide cis-2-tert B) trans-3tert-butylcyclohexyl -butylcyclohexyl bromide trans-3-tert B) trans-2tert-butylcyclohexyl -butylcyclohexyl bromide trans-2-tert Stereoelectronic Effect An effect on reactivity that has its origin in the spatial arrangement of orbitals or bonds is called a stereoelectronic effect. The preference for an anti coplanar arrangement of H and Br in the transition state for E2 dehydrohalogenation is an example of a stereoelectronic effect. effect. 5.17 Isotopes Effects And The E2 Mechanism The Isotope Effect A C-D bond is ≈12 kJ/mol stronger than a C-H bond. The activation energy for breaking a C-D bond is greater than for breaking a C-H bond. The rate constant k for an elementary step where C-D breaks is smaller than for a C-H bond. The difference in rate is expressed as a ratio kH/kD, and is a kinetic isotope effect. effect. Because it compares 2H to 1H, it is called a deuterium isotope effect. effect. The Isotope Effect The rate is slower in the reaction below for deuterium, 2H, vs. 1H. Since in the rate determining step of the E2 mechanism, a base removes a proton from a β carbon. The mechanism accounts for the observed deuterium isotope effect. Example CH3 CH3 5.18 The E1 Mechanism of Dehydrohalogenation of Alkyl Halides C CH2CH3 Br Ethanol, heat H 3C CH3 H 2C + C CH2CH3 (25%) H C H 3C C CH3 (75%) CH3 Step 1 The E1 Mechanism CH3 slow, unimolecular CH3 CH3 CH3 CH3 C + CH2CH3 CH3 CH2 CH3 + CH2CH3 C + CH2CH3 .. – : Br : .. Question – H+ C CH2CH3 : : Br .. 1. Alkyl halides can undergo elimination in protic solvents in the absence of base. 2. Carbocation is intermediate. 3. Rate-determining step is unimolecular ionization of alkyl halide. Step 2 C CH3 C CHCH 3 Which reaction would be most likely to proceed by an E1 mechanism? A) 2-chloro-2-methylbutane + NaOCH2CH3 in ethanol (heat) B) 1-bromo-2-methylbutane + KOC(CH3)3 in DMSO C) 2-bromo-2-methylbutane in ethanol (heat) D) 2-methyl-2-butanol + KOH