Chapter 11: Reactions of Alkyl Halides

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Chapter 11: Reactions of Alkyl Halides Coverage: 1. Substitution Reactions, S N1 and S N2 2. Elimination Reactions, E1 and E2 Problems:25-39, 43,47,54

Goals: 1. Know the detailed mechanisms of SN1, SN2, E1 and E2 2. Know what is a good nucleophile and what is a poor nucleophile 3. Understand the concept of inversion of configuration (SN2) 4. Know the kinetics associated with each reaction 5. Know Zaitzev’s Rule and how it applies to the elimination reactions. 6. Know what is a good leaving group in a reaction.

11-1

There are two fundamental types of reaction mechanisms to be covered: Substitution Elimination

SN2 and SN2 E1 and E2

Definitions Nucleophile – electron-rich species that attacks a nucleus which is positively charged Electrophile – electron-poor species that is attacked by a nucleophile. SN2 S – substitution N – nucleophilic 2 - bimolecular reaction

Nu-

HH C X H Backside attack

Nu

C

H H

+ X-

H 11-2

Inversion of Configuration: As the nucleophile attacks, the three groups attached to the carbon undergo inversion, that is, they flip to the opposite side of the carbon. Kinetics Rate = k [Nu-] [RX]

2 nd order reaction

k – rate constant characteristic of the reaction. The larger the k, the faster the reaction. Effect of Substrate Structure Alkyl Halide

Type

Relative Rate

CH3X CH3CH2X CH3CH2CH2X (CH3)2CH-X (CH3)3CCH2-X (CH3)3C-X

methyl 10 10 20 10 30

3 x 106 1 x 105 4 x 104 2.5 x 103 1 ~0 11-3

Reaction Energy Diagram for SN2 Mechanism TS

Ea E

R-X + Nu

R-Nu + X

Reaction Coordinate

11-4

Why this order of reactivity? What controls the relative rate of reaction of the various substrates? Answer: Steric Hindrance to nucleophilic attack.

H3C H3C

Nu-

No Reaction

C X

H3C The bulky methyl groups prevent backside attack by sterically hindering the nucleophile from attacking the electrophilic carbons. Contrast this situation to that of the CH3X group. Nucleophiles +

R-X

à

Nu-R+ + X-

Nu:- + charged

R-X

à

Nu-R

Nu: neutral

+ X11-5

Reaction: Nu-

+

NuHSCNICH3CH2OOHPh-OCH3CO2H2O

Nu-CH3+

CH3Br Relative Rate 125,000 125,000 100,000 25,000 16,000 8,000 500 1

+

Br-

pKa (conjugate acid) 7.04 9.31 0.77 16 15.7 10 4.8

Strongest base

Conclusion: The strongest base is not the best nucleophile. In other words, basicity does not control nucleophilicity. What controls nucleophilicity? 11-6

1. Polarizability.

F-

HH

HH C H

F-

X

C

X

H Electrons tightly held by the nucleus and not easily distorted

Transition state – not good bonding between carbon and fluorine atom. High energy

HH I-

HH C H

X

I-

C

X

H Electrons loosely held by the nucleus and easily distorted

Transition state – very good bonding between carbon and iodine atom. Lower energy 11-7

2. Solvation F - has a high charge density due to small size

.. H

O

• Highly solvated by water • Very stabilized • Less reactive in Sn2 reaction

H

..

F-

H

O H

H-bond H H

..O

Generally, the larger nucleophile is the better one in a given group. Halogen Nucleophiles: I- > Br- > Cl- > F-

HS- > HO -

Best

NH3 > H2O

Worst

11-8

3. Charge on Nucleophile Charged nucleophiles are better than neutral nucleophiles in the same group. HS- > H2S

OH - > H2O

NH2- > NH3

Table of Nucleophilic Strengths Strong Nucleophile Strongest

Moderate

(CH3CH2)2P HSI-

BrNH3 CH3SCH3

(CH3CH2)2NH CN-

ClCH3CO2-

Weak FH2O CH3OH

OHWeakest

CH3O-

11-9

4. Bulky Nucleophiles CH3CH2O-

Not Bulky Unhindered

>

(CH3)3CO-

Bulky Hindered

Alkoxides Ions

Effect of Leaving Group

N

C

X

N

C

+

X

Leaving Group 11-10

• The LG is usually displaced with a negative charge. LGs that best stabilize the negative charge are best. • Electronegative LGs, which polarize the C atom are also good. • LGs should be polarizable to stabilize the Transition State • In general, the weaker the base, the better the LG.

LG

Rel. Reactivity

pKa (conjugate acid)

O S O

H3C

60,000

-6.5

30,000 10,000 1 ~0 ~0

-9.5 -9 3.2 15.7 35

O

IBrFOHNH2-

Weakest base

Strongest base

11-11

O H3C

S O

Symbolized as -OTs

O

tosylate group O :N C

H3C

O

CH3

S O

O :N C-CH3

-O

S

CH3

O

Halogens as Leaving Groups I- > Br- > Cl- > F11-12

Stereochemistry of SN2 Recall that the nucleophile attacks from the backside. What happens when a single enantiomer with a reactive chiral carbon undergoes SN2 reaction??? Answer: It undergoes inversion of configuration H3C H

HOC CH3CH2

CH3 H Br

(S)-2-bromobutane

HO

C

CH 3 H X

CH2CH3

HO

C

+

X

CH2CH3

(R)-2-butanol

SN2 reaction proceeds with 100% inversion of configuration – termed Walden inversion.

11-13

SN1 Mechanism

1- Unimolecular

CH3

CH3

+

H3C C Br

H2O

H3C C OH

CH3

+

H Br

CH3

30 Halide

Solvent

30 alcohol

Solvolysis: Solvent acts as nucleophile and reacts with substrate. What is the mechanism? Not SN2! Remember, a 30 substrate is unreactive in SN2 Answer: SN1 CH3

slow

H3 C C Br CH3

+

H2O

Br

+

H

H3 C C OH2+ CH3

CH3 CH3

+

CH3

CH3 H3 C C OH2+

H3C C+ CH3

CH3 H3 C C+

CH3

Br

CH3 H3C C OH CH3

Br

11-14

Reaction Energy Diagram for SN1 TS#1

TS#2

R+ + XE

NuH

R-X

TS#3

R-NuH+ + XR-Nu + H-X Reaction Coordinate

First step is rate-determining (highest activation energy). Rate = k [R-X] First order reaction Rate-determining Step is Unimolecular

11-15

Effect of Substrate Structure on SN1 Reactivity 30 > 20 > 10 > CH3X Most

Least Reactive

Why this order • 30 substrates form stable 30 carbocations in rate-determining step. They form faster with a lower Energy of Activation

E

10 carbocation à less stable à higher E a à forms slower 30 carbocation à more stable à lower E a à forms faster Reaction Coordinate 11-16

Allylic and Benzylic Substrates are very reactive in SN1 reactions. Why so?? They form resonance-stabilized carbocations. Br

+

+

Allyl bromide H2O

OH2 +

OH

Br

H Br

What about benzyl bromide? Write a mechanism showing its reaction with water. CH2Br

+

H2O

? 11-17

Leaving Groups: The same factors that favor SN2 leaving groups also Favor SN1 leaving groups, i.e. if a LG is good for SN2, it is good for SN1. Stereochemistry of SN1

OCH3 CH3OH

H3C B

C

CH2 CH3

(CH3)2CH

Br

+ H 3C

C CH2 CH3

(CH3 )2CH

H 3C (CH3 )2 CH

C

S isomer ~50%

CH2CH3

A

S isomer CH3OH

Planar, symmetric carbocation

H3C (CH3 )2 CH

The carbocation is attacked both from the top and the bottom by the nucleophilic methanol, resulting in a near racemic mixture of enantiomers as products

CH2CH3 C OCH3

R isomer ~50% 11-18

Reactions that proceed by the SN1 reaction often undergo rearrangements. Why? Carbocations are intermediates and may undergo 1,2 ~H or 1,2 ~CH3 shifts. Br

OCH2 CH3

CH3 CHCHCH3 CH3

CH3CH2OH

OCH2CH3

+

CH3CHCHCH3 CH3

CH3CHCHCH3 CH3

+

H Br

Practice: Write a mechanism for this reaction to account for both products.

11-19

Solvents in SN1 and SN2 Reactions SN2 Polar, aprotic solvents are best. Aprotic - no OH or NH group present These solvents cannot H-bond to nucleophile and therefore the nucleophile is more reactive. O CH3CCH 3

Acetone

O CH3C N

Acetonitrile

CH3SCH 3

Dimethylsulfoxide (DMSO)

SN1 Polar, protic solvents are best. Protic – possess OH or NH group These solvents promote formation of ions through H-bonding. H2 O

CH 3OH

Water

Methanol

CH3CH2OH

Ethanol 11-20

Summary of SN1 and SN2 Topic

SN 2

SN1

Kinetics

Rate=k[R-X][Nu]

Rate=k[RX]

Nucleophile

Strong Nu required

Weak Nu required, usually solvent

Substrate

Polar, aprotic

Polar, protic

Stereochemistry 100% inversion

Racemization

Rearrangements No

Yes

11-21

E2 Elimination Requirements: Alkyl substrate with a good leaving group possessing ß-hydrogen

Hß Cß Cα X The ß-hydrogen is bonded to the ß-carbon, which is bonded to the α-carbon which is bonded to the leaving group X! A strong base is also required. Any of these will do: OH- < CH3O- < CH3CH2O- < (CH3)3CO- < NH2Weakest

Strongest

11-22

Mechanism: The E2 mechanism is a one-step mechanism with bond-breaking and Bond-making taking place at the same time; termed a concerted mechansim. In Addition, the Hß and the leaving group X must be anti-coplanar for rapid reaction.

OHH X

+

H2O

+

X

Notice that H and X are anti to each other and the four atoms, H-C-C-X, are coplanar in the reactant. This situation stabilizes the transition state leading to the alkene.

11-23

CH 3

: O ..

Overlap develops in the T.S. if the anti-coplanar relationship is maintained.

H .. H R

CH 3

C

C

R H

.. :Br .. :

Kinetics

.. O .. H H R

The overlap stabilizes the T.S. and the reaction takes place faster.

. C

. C

Rate = k [B-][R-X]

2 nd Order Reaction

R H .. :Br .. :

E2 Ball and Stick Movie

11-24

Substrate Reactivity 30 > 20 > 10 Why this order of reactivity? 30 substrates yield more stable alkenes and therefore react faster. 10 substrates yield unstable alkenes and react more slowly. Recall: Alkene Stability

R

R

H

R

H

R

H

R

H

H

R

R

R

R

R

H

H

H

H

H

tetrasubstituted > trisubstituted > disubstituted > monosubstituted > unsubstituted

11-25

OHH CH3 H

CH3 H X

30 substrate

H

CH3

H

CH3

+

H2O

+

X

Disubstituted Alkene - more stable

OHH H H3C

H H X

10 substrate

H3 C

H

H

H

+

H2O

+

X

Monosubstituted alkene – less stable

11-26

What about substrates that can yield more than one possible product such as 2-bromobutane. a

HO-

b

a

H3C

H H H H3C C C C H

H

H

+

C C

H

CH3

H Br H

H C C

H3C

CH3

81%

b

+ CH3 CH2

H2O

+

Br

H C C

H

H

19% The more stable alkene predominates in the product mixture. Zaitzev’s Rule: In elimination reactions, the more highly substituted, more stable alkene is usually the major product. This product is referred to as the Zaitzev Product 11-27

E2 reactions with Diastereomers Ph Br

s H

H3C

s H

OH-

Ph

Ph

H

H

or

Ph

H3C

(1S,2S)-1-bromo-1,2-diphenylpropane

Ph

CH3

Ph

trans

cis

In the above reaction, only 1 product forms. Which one?

Ph Br

H

H3C

H Ph



H3C H Ph

Br H Ph

rotate

Ph H3C

Br Ph

H

H

Note: H and Br are anti-coplanar in a staggered conformation. 11-28

Ph H3C

Br Ph H

H

Ph

Ph

H3C

H

100% cis isomer OHThe E2 reaction is an example of a stereospecific reaction. Stereospecific Reaction: a reaction in which different stereoisomers of a given reactant yield different stereoisomeric products. (1S,2S)-1-bromo-1,2-diphenylpropane à 100% cis product (1S,2R)-1-bromo-1,2-diphenylpropane à 100% trans product Homework Problem: Show that the (1R,2R) yields the cis and the (1R,2S) yields only the trans. 11-29

E2 in Cyclohexane Systems Br OH-

Recall that there are two possible conformations of bromocyclohexane H

Anti, coplanar H and Br

Br H H

H Br

The equatorial conformation if favored, but it does not provide the necessary anti, coplanar relationship of the H and Br. But the axial conformation does! So it reacts.

11-30

OHH + H2O +

H

Br-

Br

Conclusion: In order for the H and Br to be anti-coplanar, both must be in axial positions. This geometry is referred to as trans-diaxial. Homework: The following two geometric isomers yield different alkenes as products. Why? Write mechanisms to account for each product. CH3

base, E2

CH3

Br

trans CH3

CH3 base, E2

cis

Br

11-31

E1 Mechanism CH3

CH3

CH3OH

H3C C Br

H2C C

+

HBr

CH3

CH3

This reaction cannot be E2 because there is no strong base present

CH3 H3C C

slow

Br

CH3 H3C C

CH3

+

Br

CH3

CH3OH H

CH3

H2 C C

+

CH3 H2 C C CH3

CH3

Kinetics

Rate = k [R-X]

+

CH3OH2+

1st order

Substrate Reactivity 30 > 20 > 10 (parallels carbocation stability!) 11-32

E1 always competes with SN1 CH3

CH3

H3 C C Br

H3C C

CH3

+

Br

CH3

CH3OH as nucleophile

CH3OH as base

CH3 H3 C C OCH3

CH3 H2 C C CH3

CH3

SN1

E1 Mixture of Products

11-33

Summary of E1 and E2

Topic

E2

E1

Kinetics

2nd order

1st order

Base

Strong required

Weak required

Substrate

30 > 20 > 10

30 > 20 > 10

Solvent

Type not critical

Polar, aprotic for ionization

Orientation

Zaitzev rule

Zaitzev Rule

Conformation Requirements

Anti-coplanar H and X

None required

Rearrangements

No

Yes 11-34