In alkyl halides, the carbon has a partial positive charge Chapter 6 This carbon will be susceptible to attack by nucleophiles Ionic Reactions Nucleophilic Substitution and Elimination Reactions of Alkyl Halides Carbon-halogen bonds get less polar, longer and weaker in going from fluorine to iodine Role of Nucleophile Nucleophilic Substitution Reactions A characteristic reaction of alkyl halides is reaction at the electron deficient carbon with the unshared electron pair of a nucleophile The nucleophile reacts at the electron deficient carbon Net result: a leaving group is substituted by a nucleophile A nucleophile may be any molecule with an unshared electron pair t Examples of nucleophilic substitution Leaving Groups Leaving Groups A leaving group is a substituent that can leave as a relatively stable entity It can leave as an anion…. Good anionic leaving groups are generally the conjugate bases of strong acids H-A strong acid + H2O + H3O + A:anion very stable …or as a neutral molecule A - = Cl , Br , I 1 Neutral molecules as leaving groups Poor leaving groups can be turned into good leaving groups by proton ation. Hydroxide ion is a poor leaving group because it is the anion of a weak acid, H2O. CH3-OH In the presence of a strong acid, : : CH3 OH + CH3 OH + H H2SO 4 + + CH3OH + CH3 OH H + CH3OCH3 H There are two important considerations in any chemical reaction: (1) The extent to which it takes place---how completely the reactants are converted into products after equilibrium is reached. This analysis is based on therm odynamic param eters. H SO 4 (2) The rate of the reaction---how fast (moles per liter per second) the reactants are converted to products. The kinetics of the reaction means the rate of the reaction. a nucleophilic substitution reaction occurs: nucleophile Thermodynamics and Kinetics of Chemical Reactions + H2O leaving group good leaving group Thermodynamics: tells us if the reaction is possible l Exergonic reaction: negative ∆ Go (products favored) Products are lower energy than starting materials l Endergonic reaction: positive ∆ Go (products not favored) l The reaction of chloromethane with hydroxide is highly exergonic Kinetics = the rate of a chemical reaction Even if a rea ction has a very favorable ∆Go (nega tive), the rate of the reaction ma y still be very slow. Th e reaction 2H2(g) + O2(g) 2H2O(l) ha s a very fa vorable free energy chang e: ∆Go = -237 kJ/mol l The equilibrium constant is very large Yet when hydrogen and oxygen ga ses are mixed, no reactio n occurs. If there is a high energ y source (f lam e or spark), an ex plosive reaction occurs . The conversion of diamonds to graphite is exergonic at room temp and pressure, but….. Reactions require a pathway, a mechanism to overcome energy barr iers Kinetics = the rate of a chemical reaction Diamonds are “unstable” Kinetics of Nucleophilic Substitution: An SN2 Reaction Let us observe the initial rate of the following reaction: Higher energy than graphite at normal T and P Or could be combustible Doubling the concentration of either reagent doubles the rate The rate is directly proportional to the initial concentrations of both methyl chloride and hydroxide 2 Kinetics of Nucleophilic Substitution: An S N2 Reaction Graphical Determination o f Rea ctio n Ra tes The pro gre ss o f the che mical re act ion is fo llowe d gra phica lly. Fundamental Law of kinetics: if the reaction rate is dependent on the concentration of any particular reagent, that reagent must be involved in or prior to the rate-determining step Increa se in product concentration. Decrease in rea ct ant concentration. concentration, M At time = T, the concentration of a reactant is measured.. The ra te o f the reaction ca n be expressed as t he amo unt of reactant (moles/L) consumed per seco nd: Called a second order reaction: dependent on two concentrations time [Rea cta nt] = Rate = - ∆ ∆T SN2 = Substitution, nucleophilic, bimolecular where the notation [Reactant]T=T - [Reactant]T=0 Tim e in seconds ∆ me ans the differ enc e. Method of In iti al Rates Example: The reaction of methyl bromide and sodium hyd roxide The ma thema tical form of the rate expressio n ca n be ex perimentally determined by t he method o f initia l ra tes. The rate o f t he rea ction is measured just a fter the rea ction begins . CH 3Br + NaOH This initial rate is ca lculat ed directly f rom the slo pe . initial conc. T= O Initia l Rate = - ∆ [Reactant] ∆T ( from slo pe) con c. at T= T concentration, M CH 3OH + NaBr The reaction of methyl bromide and sodium hydroxide in a solvent of 80% ethanol and 20% water at 550 C has a k = 0.0214 M -1 s -1 . What is the rate of formation of methyl alcohol if [CH 3Br] = 0.5 M and [HO -] = 0.5 M? Rate = k[CH 3Br][HO -] = (0.0214 M-1 s-1 ) (0.5 M) (0.5 M) Ra te = 0 .00 53 5 mo l per lite r pe r second No te tha t k is defined f or a so lvent a nd t empera ture. time A Mechanism for the S N2 Reaction The Mechanism for the SN2 Reaction Proposed by Hughes and Ingold in 1937 δ− H HO- C H HO Cl H H C H δ− Cl HO C + Cl H HH H Starting materials Transition state Products t ransition state t The transition state is the energetic high point of the reaction l An unstable entity with a very brief existence (10-12 s) l About the time of one molecular vibration Nucleophile approaches on the backside of C-X bond Reaction proceeds over an energy barrier in a single step directly to product t In the transition state of this reaction bonds are partially formed Nu - : C : L Nu : dev eloping bo nd C : L and broken l Chloromethane and hydroxide are both involved in the transition state weakening bond l Explains why the reaction is second order 3 In an endergonic reaction the energy barrier is usually even higher (?G‡ is very large) Energy diagram of a typical SN2 reaction An energy barrier is evident because energy must be supplied to make the reaction proceed The difference in energy between starting material and the transition state is the free energy of activation (∆ G‡ ) The difference in energy between starting molecules and products is the free energy change of the reaction, ∆ Go Is this reaction even possible? Why does rate increase so rapidly with temperature? The higher the temperature, the faster the rate Boltzman distribution (kinetic molecular theory) As T increases, distribution of molecular energy broadens fraction of molecules There is a direct relationship between ∆G‡ and the temperature of a reaction l Near room temperature, a 10oC increase in temperature causes a doubling of rate l Higher temperatures cause more molecules to collide with enough energy to reach the transition state and react T2 T1 T 2 > T1 ?G‡ T2 # molecules with enough energy to reach Transition State kinetic energy (1/2 mv2 ) Enthalpy and Entropy of Activation Energy diagram for the reaction of CH3Cl with hydroxide : The overall rate depends on ?G ‡ , but additional information is obtained by separating its two components, the enthalpy and entropy of activation. ∆G = ∆H - T ∆S ?H ‡ measures the enthalpy change from reactants to transition state A reaction with ∆ G‡ above 84 kJ mol-1 will require heating to proceed at a reasonable rate t This reaction has ∆ G‡ = 103 kJ mol-1 so it will require heating t 1. Bonding changes (mostly) 2. Solvation effects ?S‡ measures the change in order as reactants move to transition state • Usually a negative factor because T.S. is more ordered 4 Example: the Sn2 reaction of pyridine with methyl iodide 25 oC N: + CH 3I + N C H3 + I - ac etonitri le pyrid ine Transition State = the pass thru the energy mountains When reactants collide in so lution, there are numerous possible orientations wit h pa ths leading to products. The operating tra nsit io n sta te is the most energetically favo rable pa th throug h an "energy m ountain ra nge. " N-m ethylpyri dini um iodi de ∆G o = -50.2 kJ/mol Exergonic The mounta ins on either side of the pass represent energetically less fa vorable reaction pathways, described in terms o f bonding cha nges, so lv ation eff ect s, etc. By examining rate as a function of temperature, we can split the free energy of activation into its components of enthalpy and entropy ∆ G = + 92.1 k J/mol ∆ H = + 53.6 k J/mol ∆ S = -129.8 J K -1 mol-1 Both enthalpy and entropy make significant contributions ∆G = ∆H - T∆S A very wide pass me ans many possible orientations of react ants will lead to products...a less restrictive t ransit ion state structure wit h a less negative entropy of act ivation t erm. at 25 o C, 92.1 kJ/mol = 53.6 kJ/mol + 38.5 kJ/mol Understanding Reaction Energy Diagrams The Stereochemistry of SN2 Reactions Sn2 mechanism is based on two main pieces of evidence: 1. Kinetic = second order 2. Inversion of configuration at reaction center The Stereochemistry of SN2 Reactions Later proof of inversion Inversion also demonstrated in cyclic compounds H3 C H3C TsCl H OH C6H13 [a] = - 9.9o H C6 H13 Ch3 OT s OH HO H C6 H13 [a] = + 9.9o 5 Reaction of tert-Butyl Chloride and Hydroxide Ion tert-Butyl chloride undergoes substitution with hydroxide to produce an alcohol, the same kind of product as with methyl chloride tert-Butyl Chloride and Hydroxide Ion: the S N1 Reaction Therefore a different mechanism than the earlier Sn2 reaction What can we say about it? The rate is independent of hydroxide concentration and depends only on concentration of tert-butyl chloride Doubling or even increasing the concentration of hydroxide ion t enfold has no effect on the rate of reaction! 1. 2. 3. 4. Reaction must be multi-step. Why? Because only the alkyl halide is involved at or prior to the rat edetermining step Hydroxide ion is part of reaction, must be a subsequent step Therefore there must be an intermediate species SN 1 reaction: Substitution, nucleophilic, 1st order (unimolecular) Multistep Reactions and the Rate-Determining Step Energy Diagram for a two step reaction with slow first step A-B + C - à B -C + A - t In multistep reactions, the rate of the slowest step will be the rate of the entire reaction t This is called the rate determining step In a multi-step reaction, if k1<<k2 or k3, the first step is rate determining First step is endothermic, but overall reaction is exothermic First step has the higher T.S. and is therefore the rate -determining step Mechanism for t-butyl chloride reaction with water 1. Formation of a carbocation intermediate along with a chloride ion Ions will be solvated 2. Water as a Lewis base and nucleophile bonds to the Lewis acid cation 3. Another water molecule acts as Lewis base to remove a proton from the oxonium ion 6 Carbocations Carbocation stability: 3o > 2o > 1o > methyl l Positively charged reactive intermediates The more alkyl groups, the more stable the carbocation l Highly reactive l Formation helped by ion-dipole solvation effects l Only three groups attached to C l Only 6 electrons around the C l sp 2 hybridized, with an empty p orbital Stabilized by 1. inductive effects t 2. Hyperconjugation Sigma bonds on the carbons adjoining the positive carbon can donate electrons by partial overlap with the vacant p orbital alkyl group is electron-donating relative to a hydrogen hyperconjugation Superacids : evidence for carbocations t Carbocations have been observed under “superacid conditions” t Super acid = SbF5 + FSO3H t pK a = -25 ( 1019 more acidic than conc. H 2SO4) More alkyl groups on C+ provide more hyperconjugation t Under such extreme conditions, there is no nucleophile and carbocations can be observed t George Olah , Nobel Prize, 1994 The Stereochemistry of S N1 Reactions When the leaving group leaves from a stereogenic center of an optically active compound, the products are not optically active Mechanism of Sn1 explains the racemization Step 1 produces a planar achiral carbocation Racemization = transformation of an optically active compound to a racemic mixture Step 2: both sides of carbocation attacked equally 7 Stereoselective Reactions I CH3 CH3 If there is more than one stereogenic center, the products are diastereomers rather than enantiomers, and one product may be favored over another I (CH 3)3C (CH3) 3C H H2O aceton e trans acetone S N1 Hydrolysis of either cis or trans-4-tert-butyl-1-methylc yclohexyl iodide yields the same unequal mixture of cis and trans- 4-tert-butyl-1methylcyclohexanol. This reaction is stereoselective. H H2O cis SN1 Path A + CH3 H3C I H3 C OH (CH3) 3C Path A (H3C)3C H cis or trans (H3 C)3C H sa me mixture of diastereo meric alcohols from either starting iodide Path B H Path B A common inte rmediate r eacts with H2O via c ompeting paths A and B. The two paths are diastere ome ric ally re lated. CH3 OH CH3 (CH3) 3C same product mixture from either source OH (CH3)3C H H tra ns cis Factors Affecting the Rate of SN1 and SN2 Reactions Solvolysis in substitution reactions t Often a molecule of the solvent is the nucleophile in a 1. The Effects of the Structure of the Substrate l In SN 2 reactions alkyl halides show the following general order of reactivity substitution reaction l If the solvent is water the reaction is a hydrolysis Steric hinderance: the spatial arrangement of the atoms or groups at or near a reacting site hinders or retards a reaction l Factors Affecting the Rate of SN1 and SN2 Reactions In tertiary and neopentyl halides, the carbon is too sterically hindered to react The Hammond -Leffler Postulate 1. The Effects of the Structure of the Substrate t The transition state for an exergonic reaction looks very much In SN 1 reactions, the order follows the order of carbocation stability, namely 3o > 2o > 1o t The transition state for an endergonic reaction looks very much like starting material like product t In other words, the transition state looks most like the species it is closest to in energy Except for solvolysis, only the tertiary systems normally react by SN1 To understand why the stability of the cation affects the rate so much, let us look more at the nature of transition states 8 Hammond-Leffler postulate: another look TS reactant state free energy Application to the S N1 reaction TS resembles product state TS free energy resembles reactant sta te prod uct s tate highly exergonic step high ly en dergon ic step prod uct s tate high ly en dergon ic step reactant s tate product state reactant s tate reaction coordinate reaction coordinate According to the Hammond-L effler Postulate, since SN1 pro cesses are highly enderg onic, the tra nsition state comes late along the reactio n coordina te and resem bles the carbo cation state. Factors that sta bilize carbocations will stabilize the TS in an SN 1 reaction lea ding to a faster rate. Since the transition state looks very much like the carbocation: Properties of Transition State (TS) will resemble those of the intermediate Summary of competition between S N2 and S N1 l The transition state is stabilized by the factors that stabilize carbocations l The transition state leading to tertiary carbocations is more stable and lower in energy than transition states leading to other carbocations SN2 dominates S N2 SN1 dominates Log of Rate competitive mechanisms C H3 C H3 CH2 (CH 3) 2CH overall reactivity in nucleophilic substitution SN 1 (CH3 )3 C RX Type Effect of the nucleophile Example of competitive SN1 and SN2 mechanism A change in the concentrati on of the nucleophile will affect the rate of an SN2 reaction but wi ll have no effect on an SN1 reaction. H H SN 1 R-X slow step R+ + X- R+ + Nu:- fast step R-Nu H3 C Br CH3 H3C OH CH3 Rate = k [R-X] SN 2 R -X + Nu: - single step R-Nu + X- Rate = k [R-X] [N u:- ] The conversion of isopropyl bromide t o isopropyl alcohol may occur by either an SN 1 or SN 2 mechanism. This secondary alkyl bromide is a "borderline" system. In water the SN 1 m echa nism dom ina tes. But with a dded HO- , the SN 2 mecha nism becom es increa singly co mpetitive. Since the concentration of nucl eophile appears only in the rate expression for the S N2 reaction, the concentration of nucleophile only affects that reaction rate. 9 Strength of the Nucleophile Rate comparison of competing reactions SN 1 Reaction rate does not depend on identity of nucleophile, but it may affect which product is formed In the SN 2 reaction, the rate is directly affected by the strength of the nucleophile (Stronger nucleophiles react faster) In 80% ethanol-20% water, at 55o C, isopropyl br omide r eacts ac cording to the comprehensive rate expr ession: Rat e = k 2 [ RX] [H O- ] + SN 2 m echan ism Rate = k 1 [ RX] 1. S N1 mecha nism (4.7 x 10-5) [RX] [HO-] + (0.24 x 10 -5 ) [RX] 2. A negatively charged nucleophile is always more reactive than its neutral conjugate acid When comparing nucleophiles with the same nucleophilic atom, nucleophilicities parallel basicities At [HO -] = 0.001 M, the per centage of the nucleophilic substitution going by the SN 2 reaction is % SN 2 = (4.7 x 10 -5) [RX] [0.001 M] x 100 l (4.7 x 10-5 ) [RX] [0.001 M] + (0.24 x 10 -5) [RX] % SN2 = For example, methoxide is a much better nucleophile than methanol 1.95% But at [HO-] = 0.10 M, % SN2 = 66.1% Solvent Effects on SN2 Reactions: Polar Protic and Aprotic Solvents Quiz Chapter 6 Section 1 3 t Polar Protic Solvents l Polar solvents have a hydrogen atom attached to strongly electronegative atoms The nucleophilic substitution reaction R-X + Nu:- R-Nu + X:Protic solvents solvate nucleophiles and make them less reactive may proceed by either the SN 1 or S N2 mechanism. With which mechanism is each of the following observations associated? Addition of alkyl groups around the reacting center slows down the rate of the reaction. SN 2 When the reaction takes place at a stereocenter, racemization is observed with optically active substrates. SN 1 Increas ing the concentration of the nucleophile results in an increase in the rate of the reaction. SN2 Larger nucleophilic atoms are less solvated via hydrogen bonding and more polarizable, to donate electron density to reactive carbon Relative nucleophilicity in protic solvents Polar AproticSolvents Polar aprotic solvents arepolar solvents that do NOT have a hydrogen atom attached to an electronegative element Effects of Polar AproticSolvents t They solvate cations well but leave anions unsolvated because positive centers in the solvent are sterically hindered t Polar protic solvents lead to generation of “naked” and very reactive nucleophiles Trends for nucleophilicity are the same as for basicity t They are excellent solvents for SN 2 reactions t 10 The Nature of the Leaving Group Solvent Effects on S N1 Reactions The best leaving groups are weak bases which are relatively stab le t Polar protic solvents are excellent solvents for SN 1 reactions l Can be an anion or a neutral molecule because they stabilize both anions and cations Leaving group ability of halides: t Polar protic solvents stabilize the carbocation-like transition state leading to the carbocation thus lowering ∆ G‡ t Water-ethanol and water-methanol mixtures are most common This trend is opposite to basicity: Other very weak bases which are good leaving groups: The poor leaving group hydroxide can be changed into the good leaving group water by protonation Summary S N1 vs. S N2 Functional Group Transformations Using S N2 Reactions In both types of reaction alkyl iodides react the fastest because of superior leaving group ability Organic Synthesis: Clarifications on reactive alkyl halides Functional Group Transformations Using SN2 Reactions t Stereochemistry can be controlled in SN 2 reactions Benzyl and allyl halides are very reactive by both SN 2 and SN 1 mechanisms: Primary and unhindered facilitates SN 2 Resonance stabilization of carbocation facilitates SN 1 + + CH 2 X etc. SN2 more widely useful than SN1 for synthetic purposes Benzyl halide X + + Allyl halide 11 Elimination Reactions Clarifications on reactive alkyl halides Another major class of organic reactions is elimination reactions Phenyl and vinyl halides are unreactive by both SN 2 and SN 1 mechanisms: In an elimination reaction, groups X and Y are lost from a larger molecule Sp2 bond holds leaving group more strongly Carbocation would be much less stable C C X Y Backside attack for SN 2 impossible in phenyl and high energy in vinyl C C When X and Y are on adjacent C’s, this is called 1,2-elimination or beta -elimination X X Phenyl halide (-XY) t For example, loss of HX from an alkyl halide produces an alkene Loss of HX is called dehydrohalogenation Vinyl halide Elimination Reactions of Alkyl Halides The alkoxide bases are made from the corresponding alcohols By adding metallic Na or K to carefully dried alcohol t Useful for the synthesis of alkenes t Strong bases such as alkoxides favor elimination Or by using a stronger base like sodium hydride p Ka = 16 Mechanism of dehydrohalogenation: the E2 Reaction The reaction of isopropyl bromide with sodium ethoxide shows second order kinetics p Ka = 35 E2 requires anti -coplanar geometry in Transition State δ− CH3CH2O CH 3CH2 OH H H C H Stereochemistry will also demonstrate concerted removal of the proton, formation of the double bond, and departure of the leaving group C H CH3 Br δ− H CH CH H H CH3 Br - The two carbons are rehybridizing - from sp3 toward sp2 - in T.S. Energy requirements are reduced by the partial formation of the double bond as incipient p orbitals overlap to form new p bond 12 Energy diagram of the E2 reaction Another look at E2 geometry CH 3CH 2O - CH3CH2O- Newman H CH 3 Projection C H Br H H H H C CH3 H H Br C 2 H5 O 1 /2 - The alkyl bromide reacts best from its staggered, anti coplanar geometry H H C H3 H H Br 1 /2 Concerted means a single step, with no intermediates – like SN2 - tElimination can also be unimolecular: the E1 Reaction Mechanism for E1 The E1 reaction competes with the SN 1 reaction and likewise goes through a carbocation intermediate Slow step is ionization of C-Cl bond, aided by solvent Water can act as nucleophile (Sn1) or as base (E1) Free Energy Diagram for competing pathways (C H3)3CCl Free Energy Diagram of the Product Forming Steps The com petition between th e E1 and SN1 path s, and the resulting product mixture, is determined b y the relative magnitu des of th e activation energies, ∆Gelim and ∆Gsub , for the fast steps. (CH3)3C+ partitioning factor 83:17 ∆G E1 CH 2=C(CH 3)2 SN1 (CH 3 )3COR Free Energy Free Energy RDS TS ∆Gsu b (CH3) 3C+∆Gelim (CH3)3COR SN 1 CH 2=C(CH3) 2 E1 The RDS leads to the carbocation intermediate that sit s in a "saddle po int" where a partitio ning occurs between the two product forming paths. 13 Substitution versus Elimination – effect of substrate Substitution versus Elimination Bec ause strong nucleophiles are usua lly a lso stro ng ba ses, t he S N 2 and E 2 react ions are usua lly com peting pa thway s as are the SN 1 and E1 . SN2 versus E2 SN2 E2 H C C X (a) (b) (b) Nu: - (a) C=C H C C Nu Rate = kelim [RX] [Nu-] Primary substrate (nature of the alkyl group) Rate = ksub[RX][Nu-] t Rate equations are identical, so competition between SN 2 and E2 is not affected by changing concentration of either reagent If the base is small, SN 2 competes strongly because approach at carbon is unhindered However, this competition does ver y much de pe nd on the structure of RX and choice of base . Effect of changing the base/nucleophile Substitution versus Elimination – effect of substrate Secondary substrate Size: Large sterically hindered bases favor elimination Approach to carbon is sterically hindered and E2 elimination is favored t t Access to a ß-hydrogen is less crowded than the a-carbon Potassium tert-butoxide is an extremely bulky base and is routinely used to favor E2 reaction CH 3 CH 2C H 2B r Tertiary substrate + CH 3 CH 2 ON a e tha nol CH3CH=CH 2 + CH3CH2CH 2OCH2CH3 (9 %) (91%) Approach to carbon is extremely hindered and elimination predominates especially at high temperatures CH3 t-bu tyl alc ohol CH3 CH 2CH 2B r + CH3 CO K 25o C CH3 potas si um te r t-butoxi de (a hi nd er e d b ase ) CH3 CH=CH 2 + CH 3CH2CH 2OC (C H3)3 (8 5%) (15%) 55o C Weaker bases favor substitution CH3CHCH3 + CH 3CH2ONa Br e thanol 55o C S N2 (21% ) But , = O C H3 CH3C HCH 2Br + CH 3CH 2ON a is obutyl bromide ethanol 55o C CH3 CH3 CH3CHCH2OCH2CH3 + CH2=C CH3 (40%) branching slows down SN2 CH3 CH3 CHCH2 Br SN1 CH3 CHCH3 (~100%) OCCH3 = CH 3C ONa sodium acetate (a weaker base) (79%) + I- acetone CH 3 CH 3CHC H2I + Br - (1 00%) (60%) S N2 CH3X yes, very f ast RCH2X mostly O + CH 3CHCH 3 Br SN 2 Overall Summary of Substitution/Elimination Reactions of Alkyl Halides CH3CHCH 3 + CH 2=CHCH3 E2 OCH 2CH3 R' RCHX R' RCX R'' very little very favorable mostly SN2 with weak bases none E1 E2 but hindered bases give mostly alke nes very little always competes with SN 1 strong bases pr omote E2 st rong bases promot e E2 path Io dide ion is a very wea k bas e and als o is m uch more po larizable than alkox ide ions . Substitution is fa vored by nucleophiles with high polarizability. 14 Quiz Chapter 6 Section 18 For the foll owing reacti ons, which mechanistic pathway will domi nate among S N1, SN2, E1 and E2? CH3 CH3CHCH2Br + KOBu-t Br CH3CCH3 CH3 Br CH3CH2CHCH3 + NaI t -BuOH E2 CH3OH SN 1 acetone SN2 15
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