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Nucleophilic Reactions In the 1930’s, Hughes and Ingold experimentally observed two limiting cases for nucleophilic reactions One type was called a SN1 reaction (substitution-nucleophilic-unimolecular) In this reaction, a carbocation is formed in the rate determining step H3C Br H3C CH3 k1 k2 CH3 H3C CH3 CH3OH Br k3 H3C OCH3 H3 C CH3 In a second step, the carbocation reacts with a nucleophile to generate a substituted product Usually the rate equation for this reaction is written -d[tButylbromide]/dt = k1[tButylbromide] Thus the reaction is first order with respect to the starting material [R-X] and not dependent on the nucleophile* *(a characteristic of all S 1 reactions) N 288 Nucleophilic Reactions A full kinetic expression for the reaction, however, shows other details k1 H3C Br H3C CH3 k2 CH3 H3C CH3OH CH3 Br k3 H3C OCH3 H3 C CH3 Apply steady-state approximations on reactive carbocation: d[R+]/dt = k1[R-Br] – k2[R+][Br-] – k3[R+][CH3OH] = 0 [R+] = k1[R-Br] k2[Br-] + k3[CH3OH] Insert in rate expression for disappearance of SM (or appearance of Product) -d[R-Br]/dt = k1[R-Br]k3[CH3OH] k2[Br-] + k3[CH3OH] Thus initially in reaction (when [Br-] is zero), the expression simplifies to the traditional first order kinetics expression, but as reaction proceeds the rate will decrease as [Br-] increases or if extra [Br-] is added to the reaction (called common ion rate depression) 289 Nucleophilic Reactions According to Hammond postulate, the structure and energy of the transition state for the rate determining step should resemble the carbocation intermediate If the carbocation structure can thus be stabilized, then the transition state structure will also be stabilized and the rate of the reaction will be faster Rate of an SN1 reaction is thus increased by either stabilizing the carbocation or by destabilizing the starting material LG R R R R R R <R-C-R = 109.5˚ The transition state has less sterics than the starting material due to hybridization change <R-C-R = 120˚ If reaction proceeds through a limiting SN1 mechanism, then any stereochemistry at reacting carbon will be lost and product will be racemic* *(another characteristic of all S 1 reaction) N 290 Nucleophilic Reactions A second limiting case for a nucleophilic reaction is called a SN2 mechanism (substitution nucleophilic bimolecular) In this mechanism, there is no intermediate but rather the nucleophile reacts directly with starting material to generate the product through a transition state structure Bond is forming Bond is breaking H H3CO Cl Transition state in a SN2 reaction resembles a sp2 hybridized carbon HH H NUC CH3O H3C HH LG Unlike a SN1 reaction, however, the NUC and LG are also present Cl CH3OCH3 Reaction Coordinate Cl 291 Nucleophilic Reactions The rate of the SN2 reaction is therefore dependent upon both the starting material and the nucleophile* -d[R-X]/dt = k1[R-X][nucleophile] Due to the nucleophile reacting in a backside attack to the electrophilic carbon (and 180˚ from the departing leaving group), SN2 reactions always occur with inversion of configuration* H NUC HH R LG SN2 transition state Pentacoordinate carbon, high sterics RR SN1 transition state Trigonal (sp2) carbon, lower sterics *(characteristic of all SN2 reactions) 292 Nucleophilic Reactions Often when nucleophilic reactions are first introduced in organic chemistry classes, it is implied that there are only two possible mechanisms (SN1 or SN2) Instead consider a diagram for nucleophilic substitution, called a More O’Ferrall-Jencks diagram Y R With this diagram, a SN2 mechanism would correspond to a diagonal line with a transition state in the middle of the box R These two mechanisms represent limiting cases, there are actually an infinite number of possibilities a SN1 mechanism would correspond to a vertical line first with one transition state, followed by a horizontal line with another transition state R X R-Y Bond Formation 293 Nucleophilic Reactions Consider again an SN1 type reaction with a tButyl Halide, but instead of generating only the substitution product an elimination (E1) can also occur H3C OCH3 CH3 H3 C X H3C CH3OH CH3 H3C CH3 H3 C CH3 SN1 X CH3 H3 C CH2 E1 We know from both stereochemical and kinetic analysis that a SN2 reaction is not occurring, but when the product ratio is determined the nature of X affects the products X %E1 (EtOH) Cl 44.2 Br 36.0 I 32.3 If a free carbocation intermediate was formed, then the nature of X should not change the rate of SN1/E1 Data indicates that reaction must not be occurring through the limiting SN1 case 294 Nucleophilic Reactions Data is interpreted as resulting from an “ion pair” intermediate Ion pair refers to a state where the C-X bond is broken, but there remains tight binding between the two ions CH3 H3C Br H3C CH3 H3C Br CH3 CH3 H3C Br CH3 Solvent Ion Pair Separated Ions (limiting SN1 case) In an ion pair mechanism, the nature of X would thus affect the following reactions as it is involved in the intermediate structure Ion pair mechanism would also cause a preference for inversion of configuration due to X group blocking approach of nucleophile from the front face (a limiting SN1 case would require a racemic mixture to be formed) 295 Nucleophilic Reactions The addition of salts to nucleophilic reactions also indicated situations beyond the limiting mechanisms, remember the example discussed earlier concerning common ion salts H3C Br H3C CH3 k1 k2 CH3 H3C CH3OH CH3 Br k3 H3C OCH3 H3 C CH3 When a steady-state approximation was applied: -d[R-Br]/dt = k1[R-Br]k3[CH3OH] k2[Br-] + k3[CH3OH] If the solvent is used in excess, a pseudo first order approximation can be applied: -d[R-Br]/dt = k1k3’ k2[Br-] + k3’ [R-Br] Thus if [Br-] increases, overall rate decreases (common ion rate depression) On the other hand, if the dielectric constant of a solution increases, the rate of a SN1 reaction should also increase (due to more polar solvent stabilizing carbocation) 296 Nucleophilic Reactions This effect of increasing the rate of a SN1 reaction by adding ions to solution is called a “non common ion effect” The effect on the kinetic expression is that the forward k1 rate will be increased ksalt = k1(1 + b[salt]) Therefore a common ion salt has two effects operating: 1) the increase in the reverse rate due to [X-] (common ion rate depression), and 2) the increase in the overall rate due to increasing dielectric constant of the medium (non common ion effect) If we replace k1 with ksalt term: -d[R-Br]/dt = k3’k1(1 + b[salt]) k2[Br-] + k3’ [R-Br] 297 Nucleophilic Reactions -d[R-Br]/dt = k3’k1(1 + b[salt]) k2[Br-] + k3’ [R-Br] If k2[X-] >> k3’: -d[R-Br]/dt = k3’k1 k2 (1/[X-] + b) [R-Br] Common ion rate depression If k3’ >> k2[X-]: -d[R-Br]/dt = k1(1 + b[salt]) [R-Br] Non common ion rate enhancement To know whether a rate will increase or decrease depends upon the k2 versus k3 rate constants 298 Nucleophilic Reactions The stability of carbocation generated thus affects the k2 versus k3 ratio If a very unstable carbocation is generated, then reactive intermediate will react with any nucleophile present, therefore k2 ~ k3 and k2[X-] < k3[SOH] and leads to non common ion rate enhancement As carbocation becomes more stable, then there is more selectivity between potential nucleophiles, in a solvolysis reaction the negatively charged halide would react faster than the solvent and thus k2 >> k3 and hence k2[X-] > k3[SOH], leads to common ion rate depression Cl RCl + LiBr RCl RCl + LiCl RCl + LiCl RCl Common ion rate, non common ion rate Time Cl Both common and non common ion rate Time L.C. Bateman, E.D. Hughes, C.K. Ingold, J. Chem. Soc., 1940, 974-978 M.G. Church, E.D. Hughes, C.K. Ingold, J. Chem. Soc., 1940, 966-970 299 Nucleophilic Reactions Winstein observed some curious results when studying chiral brosylates H3CO H3CO BsO OCH3 OCH3 AcO BsO OAc H3CO OBs Ion Pair BsOH Separated Ions kα Winstein could measure either the loss of optical activity (kα) or the formation of BsOH product (kt) k kt OAc Racemic When a nonnucleophilic salt was added (LiClO4) two effects are noticed, kα is larger than kt and also the increase in kt at low [LiClO4] but kα not affected Winstein proposed a new type of ion pair, called solvent separated ion pair and this type of salt effect called “special salt effect” [LiClO4] S. Winstein, G.C. Robinson, J. Am. Chem. Soc., 1958, 80, 169-181 300 Nucleophilic Reactions Because the rate of product formation increases faster than the rate of loss of optical activity, Winstein proposed that the nonnucleophilic ion must replace the leaving group, but this cannot occur with the intimate ion pair nor would it matter if it occurred with the free ions R X R CH3 Limiting SN2 R H3C Br CH3 // X CH3 CH3 H3C Br H3C X H3C R CH3 Br CH3 + X H3C Br CH3 Intimate Ion Pair Solvent Separated Ion Pair Free Ions SN1, but with high inversion SN1, but stereochemistry can change Limiting SN1 Any of these species could be where the nucleophilic reaction occurs from and each would result in different properties of the reaction 301 Nucleophilic Reactions In addition to understanding what species the nucleophilic reaction occurs from, the choice of solvent is also critically important to understand the nucleophilic reaction Solvents are categorized by two broad classes: 1) Whether the solvent is protic or aprotic (protic solvents contain mobile hydrogens [lower pKa], therefore typically hydrogens attached to O, N) 2) Polarity of solvent (polar solvents have a high dielectic constant ≥ 15) Solvents can thus be considered with four different classifications: Nonpolar/aprotic Nonpolar/protic Polar/aprotic Polar/protic Hexane Acetic acid Acetone Water Benzene Phenol DMF Methanol CCl4 tButanol DMSO Ethanol THF HMPA 302 Nucleophilic Reactions How can solvent affect reaction rates? 1) Polarity change The solvent can interact, and stabilize, the starting materials and transition state for the rate determining step depending upon the polarity of the solvent Remember this is a relative question, does the solvent stabilize the transition state more or less relative to how it stabilizes the starting material SN2 Transition state N !+ N I !- I SN1 H3C Br H3C CH3 H3 C Br !- H3C !+ CH3 Reaction is faster in polar solvents as the transition state will be stabilized more than the starting material 303 Nucleophilic Reactions 2) Hydrogen Bonding Important consideration for protic solvents Occurs when structures have atoms with lone pairs of electrons H O H O O Protic solvents can thus stabilize negatively charged species more than neutral species due to hydrogen bonding between the protic solvent and the lone pair When running a nucleophilic reaction therefore need to consider whether a protic solvent would stabilize the starting material or the transition state more through hydrogen bonding 304 Nucleophilic Reactions One solvent therefore is not ideal for every type of nucleophilic reaction, need to consider the starting material and transition state for the specific reaction SN2 Transition state R X R X R X R X Y !Y Y !+ Y Y !Y Y !+ Y R !X R !X R !+ X R !+ X Effect of increasing polarity Small decrease with increasing polarity, SM stabilized more than TS Large increase with increasing polarity, TS stabilized more than SM Large decrease with increasing polarity, SM stabilized more than TS Small decrease with increasing polarity, SM stabilized more than TS 305 Nucleophilic Reactions SN1 Transition state R X !+ R !X R X !+ R !+ X Effect of increasing polarity Large increase with increasing polarity, TS is stabilized much more than the SM for this type of reaction Small decrease with increasing polarity, SM is stabilized more than the TS for this type of reaction * Even with a given SN2 or SN1 reaction, the rate does not change uniformly with a given change in solvent polarity, some reactions increase in rate while some decrease, not to mention that the degree of change is dependent upon the amount of charge in SM and TS Always need to know what the structures are for the starting materials and transition state to predict which solvent would be best for the reaction 306 Nucleophilic Reactions Consider specific reactions: OH CH3 S H3 C CH3 CH3OH H3C S CH3 krel CH3OH H2O N CH3 S H3 C CH3 N H3C S CH3 krel CH3OH H2O 307 Nucleophilic Reactions Also need to consider protic/aprotic solvents, protic solvents solvate negative charge better than positive charge Therefore negatively charged species are solvated better (thus have lower energy) in protic solvents CH3I" CH3Cl" Cl I Krel* (Protic solvent) Methanol (Protic solvent, but weaker acid) Formamide (HCONH2) (Aprotic solvent) 1 Dimethylformamide (DMF, HCON(CH3)2) Also small anions are affected more by change in solvation for protic solvents than large anions * A.J. Parker, Chem. Rev., 1969, 69, 1-32 308 Nucleophilic Reactions At the most basic level, however, the purpose of the solvent is to dissolve the reactants and allow them to collide with enough thermal energy to allow a bimolecular reaction to occur If the electrophile and the nucleophile do not collide, then the reaction will never occur Charged molecules, for example, often will have low solubility, especially in nonpolar solvents Consider a common reaction between an alkyl halide and a nitrile R X NaCN Alkyl halide has Sodium cyanide has low solubility in high solubility in aqueous solvents, aqueous solvents, but high solubility but low solubility in in organic solvents organic solvents R CN NaX How do we bring these two starting materials together to react if they are not soluble in the same solvent system? 309 Nucleophilic Reactions Can use principle of phase transfer catalysis (PTC) A PTC is a substance that can have solubility in two different phases Typical examples are tetralkylammonium salts R R X N R R Q X When added to a biphasic system, quarternary ammonium salts can cross the phase boundary Organic phase Q CN Aqueous phase Q CN R X NaX" R CN NaCN" Q X Q X Alkyl halide and nitrile cannot react When crossing the boundary layer, they bring the counterion with them which allows the SN2 reaction to occur 310 Nucleophilic Reactions The PTC concept can also be used for solid/liquid interfaces Crown ethers have been studied due to their ability to coordinate to cations O O O O O O K O K O O O O O 18-crown-6 Can be used to solubilize inorganic solids in organic solvents CH3 KMnO4 No Reaction O CH3 KMnO4 18-crown-6 OH 311 Nucleophilicity Want to quantify how reactive a nucleophile is in a nucleophilic reaction Empirically it was found that when comparing reactions involving a nucleophilic attack at a carbon atom a good correlation existed, therefore if a given nucleophile had a strong nucleophilic rate with a given substrate, it also had a strong rate with a different substrate A linear free energy relationship was then established to determine the nucleophilicity (called a Swain-Scott equation) log k/ko = η • S η (eta) = nucleophilicity constant S = substrate sensitivity The reference reaction was determined to be a nucleophile reacting with methyl bromide in water solvent CH3Br NUC NUC CH3 Br 312 Nucleophilicity Different nucleophilicity values will appear in databases, it is important to recognize how the values were obtained The original Swain-Scott nucleophilicity constant (η) was determined with a LFER using methyl bromide in water solvent There are many widely reported η values which were determined with methyl iodide substrate in methanol solvent (the values will be different with different substrates) nucleophile η (CH3Br)a η (CH3I)b Cl- 2.70 4.37 Br- 3.53 5.79 I- 5.04 7.42 CH3CO2- 2.72 4.3 PhO- 3.5 5.75 HO- 4.2 6.29 a) P.R. Wells, Chem. Rev., 1963, 63, 171-219 b) R.G. Pearson, H. Sobel, J. Songstad, J. Am. Chem. Soc., 1968, 90, 319-326 313 Nucleophilicity Some correlations exist when predicting nucleophilicity values When the charge is on the same atom, nucleophilicity correlates strongly with basicity nucleophile η (CH3I) pKa CH3CO2- 4.3 4.7 PhO- 5.75 9.9 CH3O- 6.29 15.7 PhS- 9.92 6.5 Best base is also the best nucleophile Not a good correlation, however, when charge is on different atoms (as seen with acidities, different trends occur depending on placement of charge) Basicity – measure of affinity of a species for a proton Nucleophilicity – measure of affinity of a species for CH3I (when using η (CH3I) values) 314 Nucleophilicity Factors affecting nucleophilicity: 1) Solvation Solvated nucleophiles are usually less reactive nucleophiles (if the nucleophile is solvated, it cannot be as reactive toward the electrophilic carbon) In practice with negatively charged nucleophiles, reactivity increases when using polar/aprotic solvents CH3I" N3 CH3N3 I Krel* (Protic solvent) Methanol (Protic solvent, but weaker acid) Formamide (HCONH2) (Aprotic solvent) Dimethylformamide (DMF, HCON(CH3)2) * A.J. Parker, Chem. Rev., 1969, 69, 1-32 315 Nucleophilicity 2) Polarizability (when comparing atoms down a column of the periodic table, larger atoms are more polarizable and also more nucleophilic) S O η (CH3I) η (CH3I) 5.75 Se 9.9 10.7 N P 6.66 8.72 316 Nucleophilicity 3) Steric Hindrance As the sterics increase around the nucleophilic atom, the reactivity decreases O > O Due to the steric bulk of the tert-butyl substituent, the t-Butoxide reacts much slower than methoxide in a SN2 reaction (the t-Butoxide would prefer an E2 mechanism with a 1˚, 2˚ or 3˚ alkyl halide) N triethylamine < N Quinuclidine N N DABCO (diazabicyclooctane) Quinuclidine is more reactive than triethylamine (~50 times) due to less steric hindrance of the alkyl substituents Quinuclidine is structurally similar to a common base called DABCO 317 Nucleophilicity 4) α effect on nucleophilicity Another effect on nucleophilicity is called the “α effect”, refers to whenever there is a lone pair of electrons on the atom α to the nucleophilic atom HO η (CH3I) 6.29 NH3 η (CH3I) 5.50 HO O 7.8 H2N NH2 6.61 See a similar effect with hydroxyamine (used to form oximes) compared to ammonia HO NH2 6.60 As seen in these examples, the α effect causes a rate enhancement of over an order of magnitude so the effect can be dramatic 318 Leaving Group Ability In addition to the rate changing with a change in nucleophile, a change in the leaving group can also have a dramatic effect on the rate The leaving group will gain excess electron density as reaction proceeds, thus the atom needs to be stable with extra negative charge In addition, however, the bond between the leaving group and the electrophilic carbon is being broken in the rate determining step so the atom needs to be polarizable Leaving Group krel F- Cl- Br- I- H3C SO3 CF3SO3 Tosylate (OTs) Triflate (OTf) 319 Structural Effects on Substrate SN2: a major concern with the substrate is the sterics at the electrophilic carbon between the nucleophile and the alkyl substituents X R1 R2 R3 H H H CH3 H H CH3 CH3 H CH3 CH3 CH3 C(CH3)3 H H krel !- R2 R1 R3 Y !- X !- X !- A 3˚ alkyl halide has essentially no rate for a SN2 because another mechanism would occur (usually E2) H3 C H3 C CH3 Y !- CH3 CH3 H H CH3 Y !320 Structural Effects on Substrate SN1: a major concern with the substrate is how to stabilize the carbocation formed during the rate determining step The more alkyl substituents present the more stable is the carbocation due to hyperconjugation effects H H H H H Can only donate electron density from neighboring C-H bond if there is a carbon attached, thus 3˚>2˚>1˚ cations Bulky groups can destabilize the starting material in a SN1 reaction as the intermediate has less sterics at the electrophilic carbon (120˚ bond angle instead of 109.5˚ in SM) LG R H3 C CH3 H3 C H3 C R=CH3, krel = 1 R=CH3CH2, krel = 1.67 R 321 Structural Effects on Substrate Another way to stabilize a carbocation in a SN1 reaction is through resonance Cl O Cl O Cl SN1 krel: 322