experimental background 4. geometrical and energetic bases of reaction mechanisms 5. typical...

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Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane and other saturated hydrocarbons - conditions for competing reactions such as substitution and elimination - spatial arrangement of MO and reaction stereochemistry - hard and soft acids and bases - thermodynamic and kinetic control of competing mechanism - potential energy surface

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Page 1: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Experimental background

4. Geometrical and Energetic Bases of reaction mechanisms

5. Typical reaction mechanisms- free radical halogenations of methane and other saturated hydrocarbons- conditions for competing reactions such as substitution and elimination- spatial arrangement of MO and reaction stereochemistry- hard and soft acids and bases- thermodynamic and kinetic control of competing mechanism- potential energy surface

Page 2: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Geom. & Energ. BasesGeometrical and Energetic Bases of reaction mechanisms

Solomons 269Bruckner I-220March’s 1300

+ ClHO

H2C CH2

H

Cl

HO

H2C CH2

HO H

Cl

H2C CH2

H

Cl

H2C CH2

H OH

SN2

E2

H

X

HO:

HO:

E2

SN2

Competing reactions: two types of second order reactions can be distinguished:

E2

SN2

Page 3: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Geom. & Energ. Bases

EtCl + OH major product EtOH minor product (1%) CH2=CH2

E2

SN2

-538.13151999

-75.3265988-154.07574482

-458.91415079

-78.03171814-76.01074643

0

E2

SN2

293,8 kcal/mol

314.7 kcal/mol

RHF/6-31G(d)

memo: at RHF/6-31G(d) gas phasethe major product is EtOH (SN2)~21 kcal/mol!

However the reaction will not takeplace in the gas phase ~300 kcal/mol?

Page 4: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Geom. & Energ. Bases

H

XH

HO

+ H2O + X

+ XSN2

E2

+OH:

The energetics of the reactions,may be measured by reaction kinetics determines which one of two mechanism dominates.

Both reactions follow second order kinetics:

HO:-+

H

Cl

+H2O + Cl-

vE2 = kE2[R-Cl][OH-]

C C

H

Cl

+ :OH(-) C C

H

OH

+ Cl(-)kSN2

vSN2 = kSN2[R-Cl][OH-]

the goal is to demonstrate thatfor parallel or competing mechanisms, the product ratio in the reaction mixture, at any time during the reaction, is equal to the rate constant ratio

kSN2

kE2

C C OHH

C C

]

]

[

[=

Page 5: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Geom. & Energ. BasesGeom. & Energ. Bases

C Ck'E2

C C

H

OH

k'SN2

C C

H

Cl

k'SN2 = kSN2 [OH(-)] and k'E2 = kE2 [OH(-)]where

Experimentally measured concentrations as function of the reaction time

d[A]dt

- = k1[A] + k2[A] = (k1 +k2)[A] = k[A] [A] = [A]0 exp(-kt)

the rates of consumption of A:

differential rate equ. integrated rate equ.

d[X]dt

= k1[A] = [A]0k1e-kt

d[Y]dt

= k2[A] = [A]0k2e-kt

individual rates of product formation:

kk1

[X] = [A]0(1-e-kt)

kk2

[Y] = [A]0(1-e-kt)

with the initial conditions:[X]0 = [Y]0 = 0

[X][Y] =

k2

k1

Page 6: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Experimental background

4. Geometrical and Energetic Bases of reaction mechanisms

5. Typical reaction mechanisms- free radical halogenations of methane and other saturated hydrocarbons- conditions for competing reactions such as substitution and elimination- spatial arrangement of MO and reaction stereochemistry- hard and soft acids and bases- thermodynamic and kinetic control of competing mechanism- potential energy surface

Page 7: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

OMe

O2N NO2

NO2

OEt

O2N NO2

NO2

EtO K

MeO K

2-Methoxy-1,3,5-trinitro-benzene

2-Ethoxy-1,3,5-trinitro-benzene

Typical reaction mech.

HO: XC HO C + XOH X

#

HO: + XC HO CHO: X + X

Transition State

Reaction Intermediate

SN2

SN1

H2C Br + OH C2H5 OH + BrCH3

C Br HO C4H9 + BrHO

CH3

CH3

H3C

General equations for the various mechanisms

Nucleophil Substitutionon saturated carbon atoms:

Nucleophil Substitutionon aromatic carbon atoms:

X

OMe

X X

OEtMeO OEt

EtO K

H

MeO K

H

K

where X electron withdrawing group

example:

Page 8: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Electrophilic Substitutionon saturated carbon atom:

SE2: Y-R + E Y + R-E

SE1: Y-R + E Y + + E Y + R-ER

BrHg-R + Br-Br + HgBr2R-Br

H3C C CH3

O

H3C C CH2

O

+ Hbáziskatal.

H3C C CH2

O

Br Br+

H3C C CH2Br

O

+ Br+

Electrophilic Substitutionon aromatic carbon atom :

O

N

O

H +

NO2

+

H

Benzene Nitro-benzene

HX H X X

H

example:

Page 9: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

H RaH

Ra

+ Ra H

slow

Ra

fast Ra

Typical reaction mech.Radical Substitutionon saturated carbon atom:

Radical Substitutionon aromatic carbon atom :

H3C:H + Cl H3C + HCl

H3C + Cl : Cl H3C-Cl + Cl

H PhPhH

+ Ph-HPh Ph

intermediate biphenyl

Ph C

O

O O C

O

Ph Ph C

O

O O C

O

Ph80oC

Ph C

O

O Ph + O C O

benzoyl peroxide at relatively low temperature

2 benzoyloxy radicalsspontaneous decarboxylation

initiaiton: Ra Cl OCMe3 Ra Cl OCMe3+

R H OCMe3 R H OCMe3

R ClOCMe3 +

chain reaction

example:

memo: Ra := initiator radicalR := radicalR-Cl := the looked-for alkyl halogenid

alkyl hypochlorite forming “stable” alkoxy radical

Sykes 57

Sykes 61

Page 10: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

C C

Br

H

C C

H

Br

C C

Br

BrH

H

H

H

H

H

H

H HH

HH

slow fast

Typical reaction mech.

Br

Me CH CH2

Br

H

H

Me CH CH2secondary carbocation

Me CH CH2primery carbocation

H

H

Me CH CH2

Me CH CH2

H

H

Br

Br

propene

2-Bromo-propane

1-Bromo-propane

Typical reaction mech.Nucleophil additionon unsaturated carbon atom:

AN2

Nu : C O Nu C O

Nu : +O

O

Nu

example:

+ -H2C CH C N H2C CH

EtO

C N

H

EtOH 3-Ethoxy-propionitrileAcrylonitrile

C O+ -

EtOH

C

HOEt

OC

OEt

OHEtOH

hemiacetal

Solomons 734Electrophil additionon unsaturated carbon atom:

Sykes 75

Page 11: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Radical additionon unsaturated carbon atom:

Me+ Br

Br

R

Br

Me

HO + H-Br H2O + Br

H-Br

2,3,4,5-Tetramethyl-hexa-2,4-diene

2-Bromo-2,3,4,5,5-pentamethyl-hex-3-ene

example:

R CH CH2

HBr

HBr

R CH CH2

H Br

R CH CH2

Br H

radical addition

electrophylicaddition

R:= alkyl group

Sykes 88

Page 12: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

CH2 CR2

H2O O H

Br

H

CH2

Br

H

Br

CH2 CR2slow fast

H

H

R

R

O HBr

CH2 CMe2

Br

H

CH2 CMe2

H

H

2-Bromo-2-methyl-propane Isobutene

Typical reaction mech.Base induced (nucleophilic) eliminationon saturated carbon atom:

HO:

H

Z

H2O +

+ Z

Bimolecular (E2)

Unimolecular:E1cB

+ Br

H2C CH2

H

Br

HOH2C CH2

HO H

Br

H2C CH2

H OH

SN2

E2

X2C CH2

Y

X2C CH2

HO H

Y

X2C CH2

H

Y

HOHO H

conjugated base

Unimolecular:E1

Cl2C CF2

HO H

F

C CF2

H

F

HO

ClCl

1,1-Dichloro-2,2-difluoro-ethene2,2-Dichloro-1,1,1-trifluoro-ethane

Page 13: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Acid induced (electrophilic) eliminationon saturated carbon atom:

- H2OH2C CR2

OH

HH2SO4

H2O

H

H2C CR2

HOH

H

H2C CR2

H- H

H2C CR2

H- H2O

H2C CMe2

OH

HH2SO4

H

H2C CMe2

H OHH

2-Methyl-propan-2-ol Isobutene

H

SMe

Ph

PhH + SMe

2,3-Dimethyl-2-methylsulfanyl-butane

2,3-Dimethyl-but-2-ene

Radical eliminationon saturated carbon atom:

H2C CH2

Y

H

H2C CH2

Y

HRaRa

Sykes 156

Page 14: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Free radical halogenations of methane and other saturated hydrocarbons

Homolytic bond dissociation energies

How to determine whether a reaction is endo- and exothermic? Determine the corresponding bond dissociation energies (BDE).

H + H + Cl + Cl

H2 + Cl2

2 HCl

-206+162

-44

at B3LYP/6-311++G(d,p)no vibrational corr.

157 kcal/mol -207 kcal/mol

-49 kcal/mol

HH + ClCl2 HClBDE(kcal/mol): 104 + 58 +(-103 x 2) = 162+(- 206)

H of reaction = -206 - ( -162 ) = -44 kcal/mol

Page 15: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Homolytic and heterolytic bond dissociation energies

H:Cl

H(+) + Cl(-)

H + Cl

heterolytic

or ionic

homolytic

or free radical

Note that: the heterolytic (ionic) dissociation requires (103 + 230.4 = 333.4 kcal/mol)is more than three times that of the homolytic (free-radical) dissociation (103 kcal/mol).

Furthermoer: This holds for organic molecules also:

Conclusion: direct contrast with the experiencethere must be an explanation!

Answer: the effect of the solvent

Page 16: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Typical reaction mech.Answer: Both cations and anions are strongly solvatedby polar solvents such as H2O.

Therefore 1. ionic reactions are energetically more favourable in polar solvent

Bond type BDEkcal/mol

Bond type

BDEkcal/mol

Bond type

BDEkcal/mol

Bond type BDEkcal/mol

H3C-H 104 F-F 38 H-F 136 H3C-F 108

10 C-H 98 Cl-Cl 58 H-Cl 103 H3C-Cl 83.5

20 C-H 94.5 Br-Br 46 H-Br 87.5 H3C-Br 70

30 C-H 91 I-I 36 H-I 71 H3C-I 56

Typical textbook values of selected BDE values in kcal/mol.

2. free-radical reactions are energetically more preferred, in the gas phase or in a non-polar solventswhere the above stabilizationis not possible,

Page 17: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Free-radical reactions: halogenation of hydrocardons

In ionic reactions electrons moved in pairs

In free-radical reactions, only one electron moves in a given step

In stable organic molecules electrons are always paired.Thus, a free-radical needs to be generated to initiate a radical mechanism.

If the free-radical is generated thermally, then BDE is the energy requirement

If the free-radical is generated photochemically,then more than the BDE is needed

Page 18: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

an example: the chlorination of methane

Cl:Cl 2 Cl chain initiation

H3C:H + Cl H3C + HClH3C + Cl:Cl H3C–Cl + Cl

chain propagation

2 CH3 H3C–CH3

2 Cl Cl–Cl

H3C + Cl H3C–Cl

chain termination

energy requirement is the BDE Cl2 +58 kcal/mol.

bond- breaking

bond-making

overall reaction

Hreaction Ereaction

= BDEproduct - [-BDEreactant] -104 - (-103) =1

Page 19: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

H3C:H + Cl H3C + HClH3C + Cl:Cl H3C–Cl + Cl

chain propagation

Hreaction = BDECl2 - [-BDECl-CH3] -58 - (-83.5) = -25.2

BDEF–F2 F = +38 kcal/mol BDECl–Cl2 Cl = +58 kcal/mol

BDEBr–Br2 Br= +46 kcal/mol

BDEI–I2 I = +36 kcal/mol

BDEF-CH3 = +108 kcal/mol

BDECl-CH3 = +83.5 kcal/mol BDEBr-CH3 = +70kcal/mol BDEI-CH3

= +56 kcal/mol

H = -70 kcal/mol

H = -25.2 kcal/mol H = -24kcal/mol H = -20 kcal/mol

BDEH-CH3 = +104 kcal/mol BDEH-CH3 = +104 kcal/mol

BDEH-CH3 = +104 kcal/mol

BDEH-CH3 = +104 kcal/mol

BDEH-F = +136 kcal/mol

BDEH-Cl = +103 kcal/mol BDEH-Br = +87.5 kcal/mol BDEH-I = +71 kcal/mol

H = -32 kcal/mol

H = 1 kcal/mol H = 16.5 kcal/mol H = 33 kcal/mol

Hreaction = BDEC-CH3 - [-BDEH-Cl] -104 - (-103) = 1

Page 20: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.H = -32 kcal/mol + H = 1 kcal/mol +H = 16.5 kcal/mol +H = 33 kcal/mol +

H = -70 kcal/mol H = -25.2 kcal/mol H = -24kcal/mol H = -20 kcal/mol

= -102.0 kcal/mol F= -24.2 kcal/mol C l= -7.5 kcal/mol Br= +13.0 kcal/mol I

Energy profile for the methane halogenation chain propagation steps(H3CH + X H3C + HX and XX + CH3 X + XCH3) for X = F, Cl, Br and I.

Reaction with fluorine is very exothermic (-102 kcal/mol) Explosion!

Reaction with iodine is very endothermic (+13 kcal/mol) It doesn’t occur!

Reaction with chlorine is rather exothermic (-24.2 kcal/mol) Ferocious, not very selective reagent.

Reaction with bromine is slightly exothermic (-7.5 kcal/mol) Sluggish, selective reagent.

Page 21: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Example for selectivity: chlorination is not really selective (-24.2 kcal/mol)

bromination is more selective (-7.5 kcal/mol)

H3C CH2 CH3

H3C CH2 CH2Cl

H3C CH2 CH2Br + H3C CHBr CH3

H3C CHCl CH3Cl2

Br2

+45% 55%

<1% >99%six H atoms attached to primary carbon atom two H atoms attached to

secondary carbon atom

Hreaction (kcal/mol)

Bond X = Cl X = Br

H3C H -103.0 - (-104.0) = + 1.0 -87.5 - (-104.0) = + 16.5

1 C H (primer) -103.0 - (- 98.0) = - 5.0 -87.5 - (- 98.0) = + 10.5

2 C H (secondary) -103.0 - (- 94.5) = - 8.5 -87.5 - (- 94.5) = + 7.0

3 C H (tertiary) -103.0 - (- 91.0) = -12.0 -87.5 - (- 91.0) = + 3.5

Calculation of Hreaction for [9.10] using the thermochemical equation [9.7]

Chlorine bites off H atom from almost any CH bond

Bromine can bite off only H atoms from sec. and tert. C atoms

Page 22: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

Example for stereochemistry

if a chiral centre is formed during halogenation then the reaction will yield a racemic mixture

if the molecule have an optically active compound,then the resulting compound will be diastereomeric.

C

C

Ph

CH3

Cl

HBr

H C

C

Ph

CH3

H

H Br

Cl

C

C

Ph

CH3

H

H H

Cl

C

C

Ph

H Cl

H3C H

SS

SR

Br

chiral centre

prochiral centre

Diastereomeric

S

Br2Br2

Page 23: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

Ea(Cl) < Ea(Br)1o-2o

1o-2o

Typical reaction mech.Reactivity and Selectivity

HCH3C CH2

H H

1o 2o

CH3–CH2–CH2 + HBr

CH3–CH–CH3 + HBr

CH3–CH2–CH2 + HCl

CH3–CH–CH3 + HCl

Br

Cl

For H attached to primer C atomEa(Cl)1 < Ea(Br)1

Cl. is more reactive than Br.

For H attached to sounder C atomEa(Cl)2 < Ea(Br)2

Br. is more selective than Cl.

Page 24: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

Conditions for competing reactions such as substitution and elimination

SN2 and E2 as well as SN1 and E1 mechanisms may occur in competition

The structure of the substrate can discriminate between SN2 or the SN1

HO: X

R

C

RH

HO: X

R

C

HH

HO: X

R

C

RR

The polarity of the solvent can discriminate between SN2 or the SN1

lesspolar

morepolar

highlypolar

H2O + R-Clk1

k2H2O + R(+) + Cl(-)

R-OH + HCl

H3O+ + + Cl(-)C C

k2subst

k2elim

polarity stabilizes carbocations (and haloids)thus give chance to E1

C C

[ROH] k2subst

k2elim=

SN1 E1

=

product ratio

rate const. ratio

Page 25: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

C C

[ROH] k2subst

k2elim=

SN1 E1

=

product ratio

rate const. ratio

The relative magnitude of the rate constantsis determined by the basicity of the nucleophile used

Strong Bronsted bases is more effective inremoving a proton from the intermediate carbocation than weak ones.

C C

E1 > SN1

> [R–Nuc]

k2elim > k2

subst

for strong bases for weak bases

C C

E1 < SN1

< [R–Nuc]

k2elim < k2

subst

An examples

EtO- stronger basethan EtOH

C C

H

Br

CH3

H

CH3

H

C C

CH3

CH3

H

H

C C

CH3

CH3

H

H

+ Br(-)

+ H-Br

tBuOEt +

tBuOEt +

~ 10% ~ 90%

~ 20% ~ 80%

SN1 E1

EtOH

EtO-

conclusion

E1 > SN1

Page 26: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Examples

CH Cl

H3C

H3CCH I

H3C

H3CNaI

Na2CO3+ NaCl

CH Br

H3C

H3C

CH Cl

H3C

H3C

CH OEt

H3C

H3C

C H

H2C

H3C

C H

H2C

H3C

~ 100% ~ 0%

~ 75%

SN1 E2

~ 25%

Cl(-)

EtO(-)

CH

X

C C

H

HH

H

H3CH

CH3 CH CH CH3

CH3 CH2 CH CH2

small base

Zaitsev`s rule

bulky base

Hoffman`s rule

The two second-order rate constantskSN1 and kE2 reflect the difference in basicity of the nucleophile used

stronger bases

weaker bases

E1 > SN1

E1 < SN1

Page 27: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Spatial arrangement of MO and reaction stereochemistry

The Frontier Molecular Orbital (FMO), (HOMO/LUMO) approach

Spatial arrangements of molecular orbitals are crucial for the stereochemistry of a reaction: e.g. SN2.

backside attack on the C - Cl bond is due to the orientation of the LUMO of the R-Clalong the C - Cl axis, pointing away from the carbon

the HOMO of the nucleophile

the LUMO of the substrate interact the HOMO of the substrate breaks up during the reaction when a new bond is formed

SN2

Solomons 235 & movie

Page 28: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Spatial arrangements of molecular orbitals are crucial for the stereochemistry of a reaction: e.g. E2.

Solomons 267, 288 & movie

Page 29: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

C C

H(+) C C

H

(+)

Typical reaction mech.Spatial arrangements of molecular orbitals are crucial for the stereochemistry of a reaction: e.g. SN1 and E1.

The first step for the SN1 and E1 is common.

It is a reverse Lewis acid-base reaction

N

H

HH

B

F

FF

N B

H

F

F

H

F

H+ (-)

(+)

C C

H

C C

H

OH

CC

H

HO

(+) + (-):OH +

In SN1 the simple Lewis acid-base reaction,the collapse of the carbocation and hydroxide ion follows:

C C

H

C CHO:(-) + H2O +(+)

In E1, the carbocation behaves as a Bronsted acidand a proton is transferred from carbon to the basesuch as HO:(-)

the carbocation is a -protonatedcarbon-carbon double bond:

C C

Cl

C C

Cl

Page 30: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

C OB:(-) + + A(+)(+) B C O

A

Lewis orBronsted acidLewis base

Typical reaction mech.The HOMO/LUMO involvement is a general principle of organic reactions.e.g. the addition reaction to a carbon-oxygen double bond (carbonyl compound):

The acid, A(+), attaches the HOMO and the base, :B(-), attaches the LUMOof the carbonyl compound.

The orbital level diagram of H2C = O

RHF/6-31G(d)

Page 31: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

Further examples for FMO

Overlaps between the HOMO of the reactant andthe LUMO of the reagent is as follows:the positive lobe of overlaps with an other positive lobeand a negative only with an other negative lobe

Conservation of orbital symmetry (Fukui, Woodward and Hoffmann) is usedto predict whether a reaction is allowed or forbidden.

Diels-Alder reaction March’s 1068

Electrocycling rearrangement March’s 1428

Ring closure of dienes March’s 1429

Sigmatropic rearrangement March’s 1438

Page 32: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.hard and soft acids and bases

Bronsted acidity: the proton donating ability in aqueous solution.(The pKa of an acid is related to the pH value of the aqueous solution)

H2O + HA H3O(+) + A(-) pKa = pH - log[A(-)][HA]

Bronstedacid

Bronstedbase

proton is transferred

Problem: the same type of simplicity is not present for defining Lewis acidity and basicity.

electron pair is transferred

+A B

A B

Lewis acid

Lewis base

Lewiscomplex

HOMO LUMO

N

H

HH

+ B

F

FF

N B

H

F

F

H

F

H

RHF/6-31G(d)

Solomons 97,

Etymology:the “dative bond” of the Lewis comp. was donated by the base

Page 33: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.the strengths of Lewis acids depend on the structure (polarizability) of the bases (acceptor) employed.

BX3 AlX3 FeX3 GaX3 SbX5 SnX4 AsX5 ZnX2 HgX2

Lewis Characteristics Hard Soft

size small large

(+) charge density high low

Acid electronegativity high low

polarizability low high

lone pair no yes

valence electrons bonded strongly loosely

(-) charge density high low

Base electronegativity high low

polarizability low high

oxidation hard easy

Some characteristics of Lewis acids and bases

The softness of bases increases from left to the right according to rows and going dawn along the columns of the periodic table

CH3- NH2

- OH- F- or I- Br- Cl- F-

softer harder or softer harder

[i]

Page 34: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

Hard bases Borderline bases Soft bases

NH3,RNH2,H2O,OH

R2O,ROH,RO-,F-,AcO-

C6H5NH2,C5H5N,N3-

Br-,NO2-,SO3

2-

R2S,RSH,RS-,R3P,

(RO)3P,RNC,CO,C2H4,

PO43-,SO4

2-,Cl-,CO32- C6H6,I

-,SCN-,S2O32-,CN-

CIO4-,NO3

- H-,R-

Hard acids Borderline acids Soft acids

H+,Li+,Na+,K+, Fe2+,Co2+,Ni2+Cu2+ Cu+,Ag+,Hg+,Pd2+

Mg2+,Ca2+,Mn2+, Zn2+,Sn2+,Sb3+,Pb2+, Pt2+,Hg2+,RS+,I+,Br+,

Al3+,Cr3+,Co3+,Fe3+, Bi3+,NO+,R3C+,C6H5

+, HO+,RO+,I2,Br2,BH3,GaCl3,

RCO+,BF3,B(OR)3,AlMe3, BMe3,SO2,GaH3 1,3,5-(NO2)3C6H3,

AlCl3,AlH3, SO3, quinones, (NC)2C=C(CN)2

CO2,HX (hydrogen- CH2, carbenes

bonded molecules)

Selected hard and soft Lewis acids and bases

Ruff, Csizmadia 361

Examples:

F- is a stronger base with respect to H+ I- is a stronger base with respect to Ag+

H+ is a stronger acid with respect to RNH2

Ag+ is a stronger acid with respect to phosphines (R3P)

Page 35: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.The principle of similarity:hard acids react favorably with hard bases

andsoft acids react favorably with soft bases.

Lewis complex to be formed is more stable if both the acid and base components are of the same hardness

The interaction in terms of frontier orbitals:

hard acids have a high-energy LUMO

hard bases have a low-energy HOMO E(HOMO-LUMO) is relatively large

soft acids have a low-energy LUMO

soft bases have a higher-energy HOMO E(HOMO-LUMO) is relatively small

stable but weaker bond of ionic nature e.g. H+ and F- → HF

strong covalent bond is formede.g. Br+ and CH3

- →CH3Br

mismatches: “hard and soft”e.g. H+ and I- → HI low stability complexes are formed

Page 36: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Nucleophiles and electrophiles

neutral or negatively charged compoundcontaining lone electron pairs

electron pair accepting molecules

Lewis base as well as nucleophilic reagent

Lewis acidas well as electrophilic reagent

base strength measured by the protonation equilibrium,nucleophilicity by the rate of nucleophilic reaction.

thermodynamic property

kinetic property

RCH CH2R(+)

RCH CHR RHC CHR

Br Br

H(+) Br(-)

Example 1:

alkenesoft nucleophile

brominesoft electroeophile

protonhard

electroeophile

because of the principle of similarity for the above reactions: k < kH+ Br2

Page 37: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

Example 2:

hard nucleophile

brominesoft electroeophile

protonhard

electroeophile

H(+)

H2O HO(-) HOBr + Br(-)

because of the principle of similarity for the above reactions: k > kH+ Br2

Br2

nucleophiles with soft electrophiles:

same nucleophiles with hard electrophiles:

HS- CN- Br- Cl- OH- F-

faster reaction slower reaction

OH- > CN- > HS- > F- > Cl- > Br- > I-

Page 38: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Conclusion:

soft nucleophiles +

soft electrophiles

hard nucleophiles +

hard electrophiles

driving force: HOMO-LUMO

driving force:attraction of opposite charges

orbital-controlled reaction

charge-controlled reaction

Example:

SN1 reaction: rate-determining step the formation of the carbocation

orbital-controlled reaction

charge-controlled reaction

SN2 reaction: rate-determining step is te HOMO LUMO overlap

Application:

fluoride ion is a hard nucleophile, thus, prepare fluoro compounds via SN1 reaction,enhance the reaction by choosing a good leaving group such as tosylate

Page 39: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Nucleophilicity and solvation

Small sized, hard bases with a large negative charge density e.g. F-, Cl-, RO-

their reactivity is decreased.

form hydrogen bonds in protic solvents

extensive solvation

Large sized, soft nucleophiles,with a small negative charge density e.g. I-, SCN-

very weakly involved in hydrogen bonding

their reactivity is enhanced

Example: if the electrophile is methyl iodide, then the order of nucleophilicity is as follows:

I- > SCN- CN- > N3- Br- > Cl- > AcO-

in protic solvents

in dipolar aprotic solvents

CN- AcO- Cl- Br- N3- > I- > SCN-

Page 40: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Electron supply and demand

The effect of substituents on the FMO energies of Lewis acids and bases and their effect on the subsequent Lewis complex stability.

The electronic effects of substituents:electron withdrawing groups (EWG) make a molecule less basic or more acidic

electron donating groups (EDG) make a molecule more basic or less acidic.

Page 41: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Typical reaction mech.Thermodynamic and kinetic control of competing mechanism

Z

[Y]

[X]

TS

[Y]

[X]

product

transition state stability andproduct stability predetermine X:a clear situation

Question: what will be the major product ?

transition state stability indicate Ybutproduct stability predetermine X:a bias situation

C C

H3C

H3C

CH3

CH3C C

H3C

H3C

H2C

H

>CH3

C C

H3C

CH2

H2C

H>

CH3

H3C

C C

H

(CH2)3

H

H>

H3C

Example: which of the isomers will be formed during a ER and an EN?

more EDGhigher stability

less EDGlower stability

Zaitsev rule Hoffman rule

Page 42: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.

The size of the nucleophile (base) plays a dominant role in determining whether the Zaitsev or the Hofmann product is formed:

C C C

H R

H H

X

H H

H

only small nucleophiles

can attack here leading to

Zaitsev product

large nucleophiles

can attack here leading to

Hoffmann product

CH

X

C C

H

HH

H

H3CH

CH3 CH CH CH3

CH3 CH2 CH CH2

small base

Zaitsev`s rule

bulky base

Hoffman`s rule

Page 43: Experimental background 4. Geometrical and Energetic Bases of reaction mechanisms 5. Typical reaction mechanisms - free radical halogenations of methane

Typical reaction mech.Potential Energy Surface (PES) representation of chemical reaction

3 translational coordinates and 3 rotational coordinates of a generaln-atomic molecule leave (3n – 6) internal coordinates.