1a acid-base list, 315, 27p - california state polytechnic...

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Acid/Base stuff Beauchamp 1 y:\files\classes\0 Organic Topics - latest\315 topics\20 315 lecture notes, 7-9-15\1a acid-base list, 315, 27p.DOC Important preliminary questions before looking at specific acids and bases. 1. What is an acid? What is a base? What are the Bronsted and Lewis definitions of acids and bases? Lewis definitions (1924) - electron pair transfer is emphasized acids: substances which accept a pair of electrons (= electrophiles in organic) bases: substances which donate a pair of electrons (= nucleophiles in organic) Bronsted definitions (1924) - proton transfer is emphasized acid: a proton donor (no reference to the solvent) base: a proton acceptor (no reference to the solvent) This is the way we look at protic acids. This is the way we look at organic reactions 2. Write an equation using water as the base with generic acid, H-A. Use curved arrows to show how the reaction occurs between an acid and a base (water)? Always push electrons with your arrows! Use full-headed arrows for two electron movement (in acid/base chemistry), and half-headed arrows for one electron movement (in free radical reactions). Remember how you used arrows in resonance. Practice this skill at every opportunity. This is the organic way of looking at reactions. It can be qualitative (which side does the equilibrium favor?) or quantitative (what is the value of K eq ?). Water is the reference base in reactions with various acids. Arrow pushing shows how the reactions work. A H O A O H H H H H K a pK a This is the freshman chemistry way of looking at acid/base chemistry. Symbols are mainly used for quantitative numerical calculations. We won't write H+ by itself. We will always attach the proton to some pair of electrons. C 2 H 3 O 2 H H C 2 H 3 O 2 K a = ] C 2 H 3 O 2 H [ [ ] H + C 2 H 3 O 2 [ ] ] [ 3. Write an equilibrium expression for the reaction of acid ionization in water. K eq = (A )(H 3 O ) (HA)(H 2 O) 4. How does K a differ from K eq ? What is the K a and what does it tell us about an acid? What magnitude is K a for a strong acid? What magnitude is K a for a weak acid? K a = K eq (H 2 O) = bigger number (>1) = strong acid (up to 10 20 ) smaller number (<1) = weak acid (low as 10 -50 ) = # We almost always use K a instead of K eq in acidity tables. They only differ by the concentration of water, which is essentially constant ( 55.6 M), so K a is about 56 times bigger than K eq . An acid with a large K a value (K a > 1) is called a strong acid (up to 10 20 ). An acid with a small K a value (K a < 1) is called a weak acid (as low as 10 -50 ). Acid strengths span a remarkable range of 10 70 ! (A )(H 3 O ) (HA)

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Acid/Base stuff Beauchamp 1

y:\files\classes\0 Organic Topics - latest\315 topics\20 315 lecture notes, 7-9-15\1a acid-base list, 315, 27p.DOC

Important preliminary questions before looking at specific acids and bases. 1. What is an acid? What is a base? What are the Bronsted and Lewis definitions of acids and bases?

Lewis definitions (1924) - electron pair transfer is emphasizedacids: substances which accept a pair of electrons (= electrophiles in organic)bases: substances which donate a pair of electrons (= nucleophiles in organic)

Bronsted definitions (1924) - proton transfer is emphasizedacid: a proton donor (no reference to the solvent)base: a proton acceptor (no reference to the solvent)

This is the way we look at protic acids.

This is the way we look at organic reactions

2. Write an equation using water as the base with generic acid, H-A. Use curved arrows to show how the reaction occurs between an acid and a base (water)? Always push electrons with your arrows! Use full-headed arrows for two electron movement (in acid/base chemistry), and half-headed arrows for one electron movement (in free radical reactions). Remember how you used arrows in resonance. Practice this skill at every opportunity.

This is the organic way of looking at reactions. It can be qualitative (which side does the equilibrium favor?) or quantitative (what is the value of Keq?). Water is the reference base in reactions with various acids. Arrow pushing shows how the reactions work.

A H O A OHH

H H

HKa

pKa

This is the freshman chemistry way of looking at acid/base chemistry. Symbols are mainly used for quantitative numerical calculations. We won't write H+ by itself. We will always attach the proton to some pair of electrons.

C2H3O2H H

C2H3O2Ka =

]

C2H3O2H[

[

]H+

C2H3O2

[ ]][

3. Write an equilibrium expression for the reaction of acid ionization in water.

Keq =

(A )(H3O )(HA)(H2O)

4. How does Ka differ from Keq? What is the Ka and what does it tell us about an acid? What magnitude is Ka for a

strong acid? What magnitude is Ka for a weak acid?

Ka = Keq (H2O) =

bigger number (>1) = strong acid (up to 1020)

smaller number (<1) = weak acid (low as 10-50)

= #

We almost always use Ka instead of Keq in acidity tables. They only differ by the concentration of water, which is essentially constant ( 55.6 M), so Ka is about 56 times bigger than Keq. An acid with a large Ka value (Ka > 1) is called a strong acid (up to 1020). An acid with a small Ka value (Ka < 1) is called a weak acid (as low as 10-50). Acid strengths span a remarkable range of 1070!

(A )(H3O ) (HA)

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5. What is the pKa and what does it mean? (strong acids = ?)(weak acids = ?) What’s an order of magnitude?

pKa is another way to look at Ka It's a little confusing because it is the negative log of the Ka, (the negative of the tens exponent). Every power of 10 is an order of magnitude (103 is an order of magnitude larger than 102 and 10-4 is two orders of magnitude smaller than 10-2). (pKa = negative number for strong acids and pKa = positive number for weak acids)

pKa = - log (Ka) = pH - log

A very useful way to think of pKa is as (G)x(1.4) kcal/mole. Very approximately: pKa = (G)x(1.4) kcal/mole

G = -2.3RT (log Ka) = 2.3RT (-log Ka) = (1.4)(pKa) kcal/mole pKa

Ka = 10-pKa

R = 2 cal/mole-KR = 8.3 joule/mole-K

[A ][HA]

Another useful way to think of pKa is that it is the pH when an acid is 50% ionized, [A ] = [HA] assume T 300oK

G pKa

6. Can you think of a better base that could be used in water (but similar looking)? What are the limits of basicity in

water? Using a less acidic solvent can allow for more basic environments. Some solvents are essentially nonacidic and can tolerate very strong bases. This is often necessary in organic chemistry.

Hydroxide is a stronger (better) base than water, although water is still most likely the solvent. One cannot go higher in pH than the pKa of water, where 50% of the water would be ionized to hydroxide and no longer liquid.

A H O A OHH H

pKa = 16

Ka = 10-16

pKa = varies

Ka = varies

7. Write an equation with water as the acid with generic base, B:. We won’t consider Kb or pKb.

OOH HH B BH

Water is the reference acid in reactions with various bases. Arrow pushing shows the mechanisms of how the reactions work. Proton transfers are simple, one step reactions.

Kb

pKb

pKa = 16

Ka = 10-16

pKa = varies

Ka = varies

8. Can you think of a better acid that you could use in water (but similar looking)? What are the limits of acidity in

water? Using a less basic solvent can allow for more acidic environments. This is sometimes necessary in organic chemistry.

Hydronium ion is a stronger (better) acid than water, although water is still most likely the solvent. One cannot go lower in pH than the pKa of H3O+, where 50% of the water would be ionized to H3O+ and no longer liquid.

OHB BHOH

H

H

pKa = -2

Ka = 10+2 pKa = varies

Ka = variesH

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9. How does one draw an energy diagram (PE vs. POR) for strong acid ionization equation?

B AH AHB

stronger acid & base(less stable)

AH

APE

POR

stronger acid

HB A+ -

weaker acid & base(more stable)

TS

The equilibrium shifts towards the weaker conjugate acid and base because they are more stable (away from the stronger acid and base).

G =

10. How does one draw an energy diagram (PE vs. POR) for weak acid ionization?

YH Y

stronger acid & baseYH

Y

B HB

PE

POR

weaker acid

HB Y+ -

weaker acid & base

TS

G =

The equilibrium shifts towards the weaker conjugate acid and base because they are more stable (away from the stronger acid and base).

11. What makes an acid stronger? What makes an acid weaker? In our course, we present two reasons: a.

inductive effects (related to electronegativity) and b. resonance effects through 2p orbitals. These are mainly used to explain stabilities of the ‘less stable’ conjugate bases. Do stronger acids have more stable or less stable conjugate bases (more stable)? What about weak acids (they have less stable bases)? At our peril, we ignore solvation effects in our presentation and focus mainly on the stability of the conjugate bases.

AH

APE

stronger acid

HB A+ -

TS As the conjugate base, A: gets more stable, the acid, HA, gets stronger.

As the conjugate base, Y: gets less stable, the acid, HY, gets weaker.YH

YPE

POR

weaker acid

HB Y+ -

TS

POR

G =G =

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12. Consider the base, instead of the acid. What makes a base stronger (less stable)? What makes a base weaker (more stable)? Turn acidity (pKa or Ka) around to evaluate basicity. Electron donating ability is related to the reasons provided for relative acidities in questions 13 and 14? We often use available pKa tables of acidities to determine relative basicities of the conjugate bases from their inverse relationships with acidities. (In acidity equations the stronger acid pairs is on the same side as the stronger base and the weaker acid is on the same side as the weaker base.) We can calculate Keq for a proton transfer reaction using Ka1 and Ka2. We can quantitatively calculate G using pKa (= pKa1 - pKa2).

OH

H O H H

stronger acid stronger base weaker acidweaker base

pKa = 16

Ka = 10-16

pKa = 37

Ka = 10-37

Keq =

G = (pKa1 - pKa2) x 1.4 = (pK) x 1.4 = (16 - 37) x 1.4 = (-21) x 1.4 = -29 kcal/mole

Ka1 10-16

Ka2 10-37= = 10+21

equilibrium lies completely to the right

H3CCH2

HH H H

stronger acid

stronger baseweaker acidweaker base

pKa = 50

Ka = 10-50pKa = 37

Ka = 10-37

Keq =

G = (pKa1 - pKa2) x 1.4 = (pK) x 1.4 = (50 - 37) x 1.4 = (13) x 1.4 = +18 kcal/mole

Ka1 10-50

Ka2 10-37= = 10-13

equilibrium lies completely to the left H3C

CH2

13. Having a negative charge (or lone pair of electrons) on a more electronegative atom makes it more stable (F-- is more stable than HO-- is more stable than H2N

-- is more stable than H3C--) when the atoms are approximately the

same size. Electron withdrawing inductive effects (due to higher electronegativities) can also help stabilize the negative charge on a conjugate base and make an acid stronger. In an opposite way, electron donating effects can destabilize the negative charge on a conjugate base and make an acid weaker.

F is more stable than H3C

FH

FPE weaker

acid

HB F+ -

TS

PORHH3C

PE

muchweaker acid

HB CH3

+ -

TS

POR

H3C

because F has a higher Zeff (+7 > +4) making it more electronegative than C. Both are similar size second row elements.

pKa = +3G = +4 G = +70

pKa = +50

Electronegativity Effect

Inductive Effects

CH2

H3C C

O

OH

pKa = 4.8

R group (CH3) inductively donates electron density and makes conjugate base less stable, so acid is weaker.

CH2

H C

O

OH

pKa = 4.7

H is the reference substitution.

CH2

Cl C

O

OH

pKa = 2.8Cl substituent inductively withdraws electron density and makes conjugate basemore stable, so acid is stronger.

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14. More delocalized electrons are more stable than less delocalized electrons. This delocalization could be due to the size of the atoms: I-- > Br-- > Cl-- > F-- or due to resonance on carbon, nitrogen and/or oxygen atoms.

FI is more stable than

Because iodide is a larger anion and its electrons are more delocalized than fluoride's electrons, while both have the same Zeff of +7. There is only one iodide and one fluoride, so this is a very limited example of delocalization. The more general, and important example for our course is resonance (next)

Delocalization of electrons in organic chemistry usually refers to "resonance".

O

OO

is more stable than

O

Odelocalizedcharge

(resonance)localizedcharge

O

O

OH H

pKa = 5stronger acid

pKa = 16weaker acid

...so...

HI HF

pKa = -10stronger acid

pKa = 3weaker acid

...so...minus charge is

more delocalized

minus charge is more concentrated

15. Many examples follow, providing opportunities to use organic logic of points 13 and 14.

Generic acid/base equilibrium equation, the organic way, with curved arrows. Keq and G can be estimated for a proton transfer reaction involving two generic acids, as shown below.

Problems – You should be able to match a pKa value with its acid in each group below and explain the differences. You should be able to draw an arrow-pushing mechanism with general base, B:- for any of the acids, H-A. Include resonance structures whenever appropriate. If there was a reaction shown between any two conjugate acids and bases, you should be able to qualitatively and quantitatively indicate which side of the equilibrium is favored, and what an approximate G is for the reaction. This is a big deal! You are learning the logic of organic chemistry, right here.

Ka

pKa

A1 H A2 A1 A2H

Keq = (:A2 )(HA1 )

(HA2)(:A1 )

acid = proton donorbase = proton acceptor

acid = electron pair acceptorbase = electron pair donor

=Ka1

Ka2

G = (pKa) x 1.4 = (pKa1 - pKa2) x (1.4) kcal/mole

Bronsted definitionsLewis definitions

An estimate of the equilibrium constant, Keq, can be calculated by dividing the Ka1 of the acid on the left (reactant) by the Ka2 of the acid on the right (product). An estimate of G for the reaction can be calculated by subtracting the pKa2 of the acid on the right from the pKa1 of the acid on the left, and multiplying by 1.4 kcal/mole.

G = (1.4)(pKa) kcal/mole pKa

OH

H

H A OH

H

AH

Acid ionization reactions use full headed arrows to show two electron movement. Water is the reference base in usual Ka and pKa tables.

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C H

HpKa = 50

N H

H

O H

H pKa = 16

F H

pKa = 3

HH

H1

What is Keq and G for the following reactions?

C H

H

H

H

N H

H

HO

H

HOstronger acid

stronger baseweaker acid

weaker base

pKa1 = 16Ka1 = 10-16

pKa2 = 37

Ka2 = 10-37

Keq =

G = (pKa1 - pKa2) x 1.4 = (16 - 37) x 1.4 = (-21) x 1.4 = -29 kcal/mole

Ka1 10-16

Ka2 10-37= = 10+21

equilibrium lies completely to the right

C

H

H

H

N H

H

H

weaker acid

pKa1 = 50

Ka1 = 10-50

stronger acid

pKa2 = 16Ka2 = 10-16

stronger baseweaker base

equilibrium lies completely to the left

Keq =Ka1 10-50

Ka2 10-37= = 10-13

G = (pKa1 - pKa2) x 1.4 = (50 - 37) x 1.4 = (13) x 1.4 = +18 kcal/mole

N H

H

N H

H

H

pKa = 35

Strongest acid, negative charge is on the most electronegative atombecause they are all about the same size.

acidic proton varies (on C, N, O or F)

H3C

H2C

CH

H3C

H2C

NH

H3C

H2C

OH

HHH

pKa = 16

2

pKa = 37

pKa = 50

pKa = ?

H3C

H2C

F

O H O H O HpKa = 11I Br Cl O HF

not stable

3pKa = 8.7

pKa = 7.5

pKa = NA

OH

OHCl

OHCl

Cl

OHCl

ClCl pKa's = 16

4pKa's = 14.3

pKa's = 12.2

pKa's = 12.8

C H

HpKa 32*

C Cl

H

pKa = 25C H

H

pKa 40*

pKa = 50HH

H5 H Cl

Cl C H

Cl

Cl

Cl

* = my estimate

H3CO

H

H3C

H2C

OH

H3CCH

OH

H3CC

OH pKa's = 17

6 pKa's = 19

pKa's = 15.8

pKa's = 15.5

CH3 CH3H3C

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CH

H

H

7. What is the expected order of stability of these reactive organic intermediates? (most stable = 1)

CR

H

HC

R

R

HC

R

R

R

a. free radicals

CH

H

HC

R

H

HC

R

R

HC

R

R

R

b. carbocations

CH

H

HC

R

H

HC

R

R

HC

R

R

R

c. carbanions

relative energies(most stable = 0)

12 kcal/mole 5 2 0

relative energies(most stable = 0)

70 kcal/mole3515 0

relative energies(most stable = 0)

? kcal/mole

electron poor

very electron poor

very electron rich

Cl H Br H

pKa = -9I H

pKa = -10F H pKa = 3

pKa = -78

S H

H pKa = 7

Se H

H

pKa = 4Te H

H

pKa = 3O H

H

pKa = 16

9

OHO

O

O

pKa = 10

HH

10

pKa = 4

pKa = 16

H3CC

O

CH

H3CC

O

NH

H3CC

O

OH

HHH

pKa = 20

11

pKa = 15

pKa = 5

H2C

H

C

O

OH

H2C

CH3

C

O

OH

H2C

I

C

O

OH

H2C

Br

C

O

OH

H2C

Cl

C

O

OH

H2C

F

C

O

OH

Ref. pKa = 4.7other pKa's = 4.9, 3.2, 2.90, 2.85, 2.59

12

CH2

C

O

OH pKa = 1.3

13

pKa = 2.8

pKa = 5H3C

C

O

OH Cl

CHC

O

OHCl

CC

O

OHCl

Cl ClCl

pKa = 0.7

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pKa = 4.5

14

pKa = 2.8

pKa = 4.0

O

OH

pKa = 4.8O

OH

O

OH

O

OH

Cl

Cl

Cl

C

H

H

H

N

H

HO

H

C

H

H

H

N

H

H

O

H

pKa's = 10, 18, 28, 37, 41, 50

15

H

C

O

O H

H3C

C

O

O H

F

C

O

O H

C

C

O

O H

O2N

C

O

O H

N

Ref. pKa = 4.2

16. Provide an explanation for the general trend in acidities indicated by the pKa values.

pKa = 3.5pKa = 3.6pKa = 3.9pKa = 4.3

N

H

H

C

N

N H

H

N

H

HCNpKa = 23.6

pKa = 24.8pKa = 28

17

H H H H H H

F3C CF3

H H

O O OO O19

pKa = 9

pKa = 5

pKa = 20

pKa = 50

OH

O2N

OH

N

O

O

pKa's = 8.4, 7.1, 10.0, 10.2

OH

OH

20

OH

OH

Cl

pKa's = 85, 9.0, 9.4, 10.0

OH

Cl

OH

21

Cl

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H2C

C

C

O

OH

O OH

H2C

C

C

O

OH

O OH3C

C

O

OH

pKa = 2.85 pKa = 5.70

pKa = 4.7

22

H

H

H

H

H

HpKa = 50 pKa = 42

pKa = 15*23

* also aromatic

C C

H

H

H

H

H

H

C C

H

H

H

H

CH C H

pKa = 50

pKa = 44 pKa = 25

24

Electrons in 2s orbitals are held tighter than electrons in 2p orbitals. Orbitals which have a greater %s character are more electronegative than lesser %s character. Therefore the electronegativity of hybrid orbitals is: sp (50% s) > sp2 (33% s) > sp3 (25% s). Greater electronegativity is better able to stabilize the negative charge in the conjugate base, so sp C-H bonds are the most acidic of these hydrocarbons, then sp2 C-H and lastly sp3 C-H (lowest acidity of any acid in our course).

%s = 33%

%s = 50% %s = 25%

C N

H

H

H

H

H

H

C N

H

H

H

H

CH N H

pKa = 9

pKa = 5pKa = -10

25

Bascity

Use full headed arrows to show two electron movement. Water is the reference acid in usual Kb tables. We won't use pKb values. Instead, we will compare pKa values and judge bases to be stronger when their acids are weaker and bases to be weaker when their acids are stronger. In the examples that follow pair up each base with the pKa value of its conjugate acid.

OH

H

O

H

B B H

judge the strength of the base from the weakness of the acid

use this acid's pKa value to judge the electron donating power of B: to the reference acid, H2O.

HO3S O H3C

one of our weakest bases(most stable)

one of our strongest bases(least stable)

O

NH2

H2O H

H3N H

pKa = -2

pKa = +9

The most basic site of an amide represents an especially ambiguous problem. Using H3O+ and NH4+ as examples, it seems logical

to use the nitrogen of an amide as the basic site, putting the positive charge on the nitrogen instead of the oxygen. However, if we protonate both and look at the conjugate bases more carefully, we see that when we protonate the nitrogen the charge is fully localized there. If we protonate the oxygen, the charge is delocalized onto the carbon and nitrogen, as well, so the more basic site is actually the oxygen atom. If a C=O (or C=N) is present in a functional group, use that site as the best base.

AH

a

b

O

NH3

O

NH2

H

O

NH2

H

O

NH2

Ha

b

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Here are a few qualitative examples. Where is the most basic site in each molecule below? Can an order of basicity be explained for some or for all of the bases (approximate pKa’s of some of the conjugate acids are provided)?

CC

O

C CC

O

NH

CC

O

OCH3

H

N

CN

C

C

H

NC

O

NH

H

NC

N

NH

H

R

H

HH

H

N

CO

C

C

CC

O

OH

pKa -7 pKa -7pKa -6 pKa -0.5

pKa 0.2 pKa 5 (guess) pKa 7 pKa 13.6

H

HH

H

HH

H

HH

H

HH

H

HH

H

H

H

H

H

H

Problem – What is the order of basicity among the following molecules of each group (1 = most basic)? Explain your reasoning. Match the given pKa values with the conjugate acids of the indicated bases. Write arrow-pushing mechanisms with general acid, H-A to illustrate the reactions. Include resonance structures whenever appropriate. Where is the most basic site in each molecule? Explain your reasoning using arguments of inductive effects (electronegativity), resonance effects (electron delocalization) or both. For any reaction between two conjugate acids and bases, you should be able to qualitatively and quantitatively indicate which side of the equilibrium is favored, and what is an approximate G is for the reaction.

C

H

N

H

O

H

FH H

H1

pKa's of the bases' conjugate acids = 50, 37, 16, 3

H3C

H2C

CH3C

H2C

OH

H

2

H3C

H2C

FH3C

H2C

N

H

pKa's of the bases' conjugate acids = 50, 37, 16

H3CC

O

NH

H3CC

O

OH

H

H3CC

N

NH

H

R

pKa's of the bases' conjugate acids = -7, 0, 7

3

C N H

H

H

H

H

C N

H

H H

CH N pKa's of the bases' conjugate acids = 9, 5, -10

4

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N

N

H

NC

N

NH

H

H

H

N

R

pKa's of the bases' conjugate acids = 5, 7, 13

5

OO

O

O

pKa's of the bases' conjugate acids = 5, 10, 16

6

pKa's of the bases' conjugate acids = 50, 20, 9, 5

H HH

F3C CF3

H

OO O O O7

H3CC

O

CH2H3CC

O

NH

H3CC

O

O

pKa's of the bases' conjugate acids = 20, 15, 5

8

C C H

H

H

H

H

C C

H

H H

CH C pKa's of the bases' conjugate acids = 50, 44, 25

9

pKa's of the bases' conjugate acids = 50, 42, 15

HHH

10

Acid/Base stuff Beauchamp 12

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Acid/Base arrow pushing worksheet

1. These proton transfer reactions are the first step in multistep mechanisms to be studied later in the course. Supply the necessary curved arrows, lone pairs of electrons and/or formal charge to show how the first step each reaction proceeds. Starting at e are simple proton transfer reactions generating a carbanions (very important for organic chemistry). Generally, there is some stabilizing feature that allows a carbanion to form via acid/base chemistry, such as inductive and/or resonance effects, but this is not always the case. In working the problem below, show any important resonance structures or identify the inductive effect that makes the reaction possible. Estimate a Keq for each reaction using the Ka’s. a.

RO

H H

Na

sodium hydridealcohols

Ka = 10-16Ka = 10-37

H-H

b.

RS

H

thiolsKa = 10-9

HO Nasodium hydroxide

Ka = 10-16

O H

H

c.

CR

O

O

Ka = 10-16

HO Nasodium hydroxide

H

carboxylic acidsKa = 10-5

O H

H

d.

N HCH2CH2CH2CH3

Li

CH2CH2CH2CH3H

Formation of lithium diisopropyl amide (LDA) using butyl lithium.

n-butyl lithium is commercially availableKa = 10-37 Ka = 10-50

e.

N

R

R Li

LDA CCH2

H

O

Rketone

-78 oC resonance

Ka = 10-37

R2NH

Ka = 10-20

f.

N

R

R Li

LDA CCH2

H

O

O

-78 oC resonance

Ka = 10-37

R2NH

ester Ka = 10-25

R

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g.

CC

H

HH

O

Ntertiary amide

R

R

N

R

R Li

LDA

-78 oC

resonance

Ka = 10-37

R2NH

Ka = 10-30

h.

CC N

nitrile

N

R

R Li

LDA

-78 oC resonance

H

H

HKa = 10-30

Ka = 10-37

R2NH

i.

CC

C

O

CH3

sodium hydride

-78 oC

resonance

O

H3C

H HNa

Hresonance

1,3-dicarbonyl

Ka = 10-9 Ka = 10-37

H-H

j.

N

R

R Na

sodium amide

-33 oCCH C R

terminal alkyneterminal acetylide ammoniaKa = 10-25

Ka = 10-35

R2NH

k.

n-butyl lithiumdithiane

-78 oCH2C

H2C

CH2

CH3

Li

S

SH

HCH2CH2CH2CH3H

Ka = 10-50

Ka 10-35

possible resonancewith sulfur 3d orbitals,

but violates the octet rule

l.

S C

n-butyl lithiumsulfur ylidPh = phenyl

-78 oC

possible resonancewith sulfur 3d orbitals,

but violates the octet rule

H

H

HH2C

H2C

CH2

CH3

LiPh

PhCH2CH2CH2CH3H

Ka = 10-50

Ka 10-35

Br

m.

possible resonancewith phosphorous 3d orbitals,but violates

the octet rule

P C

n-butyl lithiumphosphorous ylid (Ph = phenyl)

-78 oC

H

H

HH2C

H2C

CH2

CH3

LiPh

Ph

Ph

Br

Ka 10-35

CH2CH2CH2CH3H

Ka = 10-50

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2. Lone pair donors to a very strong acid

All of the following functional groups react with protic acid as the first step of a reaction studied in organic chemistry. Often subsequent chemistry occurs after that initial step and you will study most of those reactions later in the course. Show how they react in the first step by including all lone pairs, curved arrows to show electron movement and formal charge.

OH H

Acid/Base arrow pushing worksheet

lone pair donors lone pair acceptor

OH S

O

O

OHKeq = ?

pKa's = -5, -2equilibrium

NH H

H

OH H

H

Keq = ?

pKa's = -2, 9ammonia

equilibrium

NR H

H1o amine

Keq = ?

pKa's = -2, 10equilibrium

OH H

H

NR H

R2o amine

Keq = ?

pKa's = -2, 10equilibrium

OH H

H

equilibriumNR R

R3o amine

Keq = ?

pKa's = -2, 10

OH H

H

OR H additionalchemistrypossiblealcohol

Keq = ?

pKa's = -2, -3

OH H

H

additionalchemistrypossible

OR RKeq = ?

pKa's = -2, -3ether

OH H

H

additionalchemistrypossible

O

epoxide (ether)

Keq = ?

pKa's = -2, -3

OH H

H

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additionalchemistrypossible

Keq = ?

pKa's = -2, -7

C

O

R Haldehyde

OH H

H

resonance(2)

additionalchemistrypossible

Keq = ?

pKa's = -2, -7

C

O

R R'ketone

OH H

H

resonance(2)

additionalchemistrypossible

CR N

nitrile

Keq = ?

pKa's = -10, -10

OH SO3H

sulfuric acid

resonance(2)

additionalchemistrypossible

carboxylic acid

C

O

R OH

Keq = ?

pKa's = -2, -6

OH H

H

resonance(3)

additionalchemistrypossible

C

O

R OR'

Keq = ?

pKa's = -2, -6ester

OH H

H

resonance(3)

additionalchemistrypossible

amide

C

O

R NH2

Keq = ?

pKa's = -2, 0

OH H

H

resonance(3)

additionalchemistrypossibleC

N

R NH2

H

Keq = ?

pKa's = -2, 12

OH H

H

resonance(3)

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Carbon-carbon pi bonds as weak electron pair donors to very strong acid

additionalchemistrypossible

Keq = ?

pKa's = -5, -10

OH SO3H

sulfuric acidC

CH2

H

Ralkene

additionalchemistrypossible

CCH2

NR2

Renamine

Keq = ?

pKa's = -2, 5

OH H

H

resonance(2)

additionalchemistrypossible

CCH2

O

Renol ether

Keq = ?

pKa's = -2, -7

R

OH H

H

resonance(2)

additionalchemistrypossible

C C HR

alkyne

Keq = ?

pKa's = -5, -10

OH SO3H

sulfuric acid

additionalchemistrypossible

resonance(3)

Keq = ?

pKa's = -10, -10

E+ = electrophile(Lewis acid = electron pair acceptor)

C

CC

C

CC

E

aromatic

H

H

H

H

H

H

At this point we are mainly interested in understanding acid/base proton transfers, curved arrow pushing, formal charge, recognizing resonance structures and using the logic arguments of inductive effects and resonance effects to explain relative stabilities of acids and bases. If you can do these things, you are well on your way to understanding organic chemistry and biochemistry.

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Ka/pKa table for a variety of acid types The sign and magnitude of an acid’s pKa represents the approximate energy change to form the conjugate base from the acid with water as the general base. Remember a difference of 1 pKa unit is the same as the difference between a 6’ person and a 60’ person, a pretty obvious difference.

A pKa table provides us with immediate access to an acid’s proton donating ability and indirectly to its conjugate base electron pair donating ability. You can decide from the values in the pKa table whether an acid is strong or weak and its relative acidity (or basicity) compared to other acids (or bases) in the table. If it is weak (most of them are, pKa > 1 to very large), you can evaluate approximately how large an energy input is necessary to form the conjugate base. Remember, water is the reference base for all of the listed pKa’s of the acids even though as a solvent for many acids, it is meaningless. The pH limits for water are about -2 to 16 because of the pKa values of its conjugate acid, H3O

+, (pKa = -2) and itself (pKa = 16).

pKa Table for a Variety of Acids – Approximately equal to Gacid ionization (in kcal/mole = (1.4)x(pKa))

Carbon Acids – There is a fair amount of uncertainty in the higher pKa values.

CHO2N NO2

H

pKa = 4

CHOHC CHO

H

pKa = 5

CHRO2C NO2

H

pKa = 6

CH

H

pKa = 9

O O

CH

N

pKa = 9

CHR NO2

H

pKa = 10

CN

pKa = 11

H

CN

H = acidic hydrogen atom

CH

HpKa = 11

O O

ORCH

RO2S SO2R

H

pKa = 13

CHRO2C CO2R

H

pKa = 13 pKa = 15

CHR

HpKa = 16

O

H

pKa = 20

H

HCH

R

H

pKa = 19

O

H

H H

CH2

S

HpKa = 23 pKa = 24 pKa = 25

CHR

H

pKa = 25

O

OR

OO

R

RC

CH

C

Cl

Cl

Cl

H

pKa = 30

CN

R

HpKa = 31

C

Ph

Ph

Ph

H CH2

S

HpKa = 32

R

O

pKa = 23

H H

pKa = 34

C

Ph

Ph

H

H

S

S

H

pKa = 35 pKa = 40

C

H

Ph

H

HCH2

H

pKa = 42

H

pKa = 43

H2C

HC

H

pKa = 44

H

HpKa = 46 pKa = 50 - 60

C

R

R

R

H

Oxygen Acids

H = acidic hydrogen atom

pKa = -3

RO

H

S

O

O

O

H

HO

pKa = -10

Cl

O

O

O

H

O

R

O

R

Haldehydes, ketonesesters, acids pKa = -8 to -6amides pKa = 0 pKa = -1

S

O

O

O

H

R

pKa = -3

R

RO

H

pKa = -3

H

HO

H

pKa = -2

H

ON

O

OH

pKa = -1

RC

O

OH

pKa = +5

RC

O

OO

pKa = +8

HO

H

pKa = +10

HO

OH

pKa = +11.6

H3CO

H

pKa = +15.5

HO

H

pKa = +15.7

RO

H

pKa = +16-19

HO

pKa = +25

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C

O

OH

pKa = +4.8

N O

H

pKa = +1 pKa = +5

N

R

R

O

H

R

Compare the following groups.

C

O

OH C

O

OH C

O

OH

Cl

Cl

ClpKa = +4.5 pKa = +4.0 pKa = +2.8

H3CC

O

OH

pKa = +4.7

H2CC

O

OH

Cl pKa = +2.9

CHC

O

OH

Cl pKa = +1.3

ClC

C

O

OH

Cl pKa = +0.7

Cl

ClH2C

C

O

OH

FpKa = +2.6

H2CC

O

OH

Cl pKa = +2.9

H2CC

O

OH

Br pKa = +3.0

H2CC

O

OH

I pKa = +3.1

Nitrogen Acids

CR

NH

N

Ph

Ph

HPh

pKa = -10 pKa = -5

N

Ph

H

HPh

pKa = +1

N

H

H

HPh

pKa = +5

N H

pKa = +5

HO

NH

pKa = +6

HH

NN

H

H

pKa = +7

HN

NH

pKa = +8

HH

HpKa = +9

N

H

H

HH

pKa = +9.2

N H

pKa = +17

N

R

R

HR

pKa = +9-11

N

O

O

HC

H2N

H2N

N

H

H

pKa = +13

H2NC

O

NH

H

H3CC

O

NH

H

pKa = +14 pKa = +15

HN

H

pKa = +35

RN

H

pKa = +37

H R

Other Miscellaneous Acids

ON

H

pKa = +13.7

Compare the following groups.

S

H

HR S HH

pKa = +7pKa = -5

S HPh

pKa = +8

S HR

pKa = +10 pKa = +0

P

H

H

HH

pKa = +9

N

H

H

HH

pKa = +8.1

H

H2NN

H

HH

H

Compare the following groups.F5SbF H pKa = -20

FSO3 H pKa = -15

F4B H pKa = -15

O3ClO H pKa = -10

I H pKa = -10

Br H pKa = -9

Cl H pKa = -7

F H pKa = +3

H2PO4 H pKa = +2.1

HPO4 H pKa = +7.2

PO4 H pKa = +12.4-2

O2NO H pKa = -1

ONO H pKa = +3

HO2CO H pKa = +6.4

O2CO H pKa = +10.3 ClO H pKa = +7.5

O3ClO H pKa = -10

O3ClO H pKa = -1

O3ClO H pKa = +2

HTe H pKa = 3

HSe H pKa = 4

HS H pKa = 7

HO H pKa = 16

ClO H pKa = +7.5

BrO H pKa = +8.7

IO H pKa = +11

HO3SO H pKa = -3 HO2SO H pKa = +2

O2SO H pKa = +7O3SO H pKa = +2

HOO H pKa = +12

HO H pKa = +16

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O

H

SO

S

S o = ortho m = meta p = para

-Cl 8.48 9.02 9.38-Br 8.42 9.11 9.34-OH 9.98 9.44 9.96-CH3 10.48 10.08 10.19-NO2 7.23 8.35 7.14-CHO 6.79 8.00 7.66S = H (reference), pKa = 10.0

Table of acidities of some phenols

HF / SbF5 pKa -20FSO3H pKa -15

HF / BF3 pKa -15

HF / BF3 pKa -15

HI pKa -10

HClO4 pKa -10

HBr pKa -9

HCl pKa -7

SR

H

H pKa -7

CR N H pKa -10

S

O

O

OH pKa -2

SR

R

HpKa -5

OR

H

H pKa -3

OR

R

H pKa -3

OH

H

H pKa -2

H2MnO4pKa -1

H2CrO4 pKa -1

HNO3pKa -1

HClO3pKa -1

HH

H pKa -8

CR

O

H

H

CR

O

OH

H

CR

O

R

H

CR

O

OR

H

CR

O

NR

H

R

CN

H

CN

NC

NC CN

N

O

O

N

H

H

H

NO2

NO2

R N

O

O H

pKa -8

pKa -6

pKa -7

pKa -7

pKa 0

pKa -10

pKa -10

pKa -11

H2SO4 pKa -3

CF3SO3H pKa -14

Table of acidities of some very strong acids (= 100% ionization in water)

The above pKa tables dramatically demonstrate how much Bronsted acids can vary in strength. The magnitude of the numbers is really beyond our comprehension. The strongest acid in the table has a Ka 10+20 (pKa = -20), while the weakest acid has a Ka 10-50 (pKa = 50). That’s 70 orders of magnitude! What does 1070 mean? Even so, we will only use two simple arguments to rationalize the differences in acidity (…and basicity): 1. inductive effects (based on relative electronegativity) and 2. charge delocalization effects (usually based on resonance through 2p orbitals). We will not emphasize steric effects, hydrogen bonding or solvation effects, which can also modify relative acidities, sometimes greatly.

The Tautomer Game – an arrow-pushing training reaction in acid and in base, forward and reverse

Tautomers are isomers that differ by the location of a proton and a pi bond. Official tautomers usually have a heteroatom or atoms (different than carbon, often oxygen or nitrogen or both) as part of the system. In the simplest case, there are at two isomers in equilibrium with one another (there may be many, many more tautomers possible in more complex systems). The tautomers are interchangeable by 1. proton transfer, 2. resonance intermediates and 3. proton transfer. The “keto” isomer, has a heteroatom in a pi bond and in the “enol” tautomer has two carbons forming a pi bond. This simple pattern can occur in an infinite number of systems, from very simple to very complex. A possible approach to figuring out what to do in keto/enol tautomer problems is provided below. More complex tautomer relationships are shown in later examples. They are more complicated mainly because there are more than two tautomers and interconversions may require one or more simple tautomer interconversions.

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Tautomers in acid (simplest examples)

C

H H

CC

O

C

H H

CC

O

Hacid orbase

Use H3O /H2O or HO /H2O to accomplish the given transformations. Every transformation will always follow a 3 step sequence. This is as simple as it gets.

H

1. proton transfer (in acid = proton on) (in base = proton off)2. resonance delocalized intermediates 3. proton transfer (in acid = proton off) (in base = proton on)

keto tautomer enol tautomer

in acid

best acid best base

in base

H3O H2O

H2O HO

H

H

H

H

H

H

a. “keto” “enol”

C

H H

CC

O

H

HH

H

O

H

H H

OH H

C

H H

CC

O

H

HH

H

resonance

H

C

H H

CC

O

H

HH

H

H OH H

C

H H

CC

O

H

HH

H

enol tautomer

keto tautomerin acid = proton on in acid = proton off

same resonance as b

b. “enol” “keto”

C

H H

CC

O

H

HH

H

O

H

H H

OH H C

H H

CC

O

H

HH

H

resonance

H

C

H H

CC

O

H

HH

H

H OH H

C

H H

CC

O

H

HH

H

enol tautomer keto tautomerin acid = proton on in acid = proton offsame resonance as a

Tautomers in base (simplest examples)

c. “keto” “enol”

C

H H

CC

O

H

HH

HOH H C

H H

CC

O

HH

H

resonance

OH H

C

H H

CC

O

H

HH

H

enol tautomerketo tautomerin base = proton off in base = proton on

O H

C

H H

CC

O

H

HH

enolate

same resonance as d

d. “enol” “keto”

C

H H

CC

O

H

HH

HOH H C

H H

CC

O

HH

H

resonance

OH H

C

H H

CC

O

H

HH

H

enol tautomer keto tautomer

O H

C

H H

CC

O

H

HH

enolatein base = proton off in base = proton on

same resonance as c

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More Examples

C

H H

CC

N

C

H H

CC

N

Hacid orbase

H

keto tautomer enol tautomer

H

H

H

H

H

C

H H

NC

O

C

H

NC

O

Hacid orbase

H

keto tautomer enol tautomer

H

H H

H

C

H

CC

H

Cacid orbase

keto tautomer enol tautomer

H

H

H H

C

H H

NC

O

keto tautomer

H acid orbase

H

H

H

H

H

N NH

A slightly more complicated keto/enol tautomer problem – keto/enol with an additional pi bond

O

H

H

O

H

H

O

H

H

O

H

H

O

H

H

H

H

H

H

H

H

HH

H

HHH

H

H

H

H

H H

H

H

H

H

H H

H

H H

1

3

24

5

base

also possible

1

3

H H

H

base base

base

base

The tautomer interconversions shown above are possible in one step in base because of shared resonance intermediates. The total number of tautomer changes required to change any tautomer into any other tautomer is shown below for base (on the left) and acid (on the right). The number of tautomer changes in parentheses was worked out in my head, not on paper, so there may be some wrong estimates.

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Number of tautomer changes to transform one tautomer into another in base.

Number of tautomer changes to transform one tautomer into another in acid.

1 2 3 4 5

(1x) (1x) (1x) (2x)

2 1 3 4 5

(1x) (1x) (2x) (2x)

3 1 2 4 5

(1x) (1x) (2x) (1x)

4 1 2 3 5

(1x) (2x) (2x) (3x)

5 1 2 3 4

(2x) (2x) (1x) (3x)

1 2 3 4 5

(1x) (2x) (1x) (1x)

2 1 3 4 5

(1x) (1x) (1x) (1x)

3 1 2 4 5

(2x) (1x) (2x) (1x)

4 1 2 3 5

(1x) (1x) (2x) (2x)

5 1 2 3 4

(2x) (1x) (1x) (2x)

1. Circling the protons that change is always a good idea, because you know those protons are going to have to move. However, these may not show every tautomer change because sometimes a necessary change is reversed in a later step. The circled protons have to be moved, either taken off (with the best base available) or put on (with the best acid available) and there is always resonance delocalization in the intermediate. Best acid in H3O

+/H2O is H3O+, best base in H3O

+/H2O is H2O

Best base in H2O/HO-- is HO-- and the best acid in H2O/HO-- is H2O

2. Always work from a "keto" (CH-C=O or CH-C=N-) part or "enol" (C=C-OH or C=C-NH-) part of the molecule. Do not use isolated pi bonds (C=C) to initiate change in the structure. With an allowed tautomer change, an isolated pi bond may become conjugated with a “keto” or “enol” part of another tautomer. Any keto or enol part will be the better base or the better acid, as is indicated because it will form a resonance stabilized intermediate with the oxygen (or nitrogen) assisting in the intermediate resonance structures.

Not possible in in base in one keto/enol cycle.

Changing tautomer 2 into tautomer 4 is possible in base by first converting tautomer 2 into tautomer 1 and then changing tautomer 1 into tautomer 4. On the other hand tautomer 2 could be converted to tautomer 4 in a single tautomer change in acid. Do not use isolated C=C pi bonds to interconvert tautomers because they represent a higher energy path, which would be slower reacting. On paper, it may seem easier to write, but such transformation are energetically out of reach.

OH

H

H

H

HH

H

H2

OH

H

H

H

H

H

H

H

4

OH

H

H

H

HH

H

H2

O

H

H

H

H

H

H

H

H

1

OH

H

H

H

H

H

H

H

4This is an isolated C=C bond. Don't begin here in acid or base.

This is an isolated C=C bond. Don't begin here in acid or base.

This is an isolated C=C bond. Don't begin here in acid or base.

base base

acid

4

3. If in acid, use the strongest acid (H3O

+ in our examples) to put on a "gained" proton first and take off a "lost" proton second, with a weak base (usually the solvent = H2O in our examples).

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4. If in base, use the strongest base (HO- in our examples) to take off a "lost" proton first and put on a "gained" proton second with a weak acid (usually the solvent = H2O in our examples).

5. In all tautomer mechanisms there will be resonance structures in the intermediate formed. The intermediate structure will show the way to all other reasonable tautomers from that intermediate. You may have to repeat the tautomer process once, twice, etc. until you accomplish an overall indicated transformation. Counting the number of protons lost or the number of protons gained will give you an indication of a minimum number of times you may have to repeat the tautomerization process. This may not always match however because sometimes a tautomer sequence is reversed and hidden from the overall change indicated (See rule 2 for isolated pi bonds.).

O

H

H

O

H

H

OH

H

H

H

H

H

H

H

H

HH

H

HH

H

H

H

H

H H

1

3

2

acid orbase

acid orbase

acid orbase

Use generic acid, H-A, or generic base, B:to accomplish the given transformations.For every transformation there will beresonance delocalized intermediates that lead toward the path desired.

This is the most thermodynamically favored keto/enol structure because it retains the C=O and has conjugatedpi bonds.

The following transformations can be done in base or acid. Intermediate resonance structures lead to stable structures

1AH

1B

2

2

2AH

2B

1

1

3AH

3B

1

1

1AH

1B

3

3

2AH

2B

3

3

3AH

3B

2

2

OH

H

H

OH

H

H

H

H

H

H

H H H

H

H H4 5

Additional tautomeric structures.

Additional tautomeric interconversions

(40 different problems).

3 changes in base

3 changes in base

2 changes in acid

2 changes in acid

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Tautomerism Arrow-Pushing Practice – Fill in missing formal charge, lone pairs and curved arrows.

O

H

H

O

H

H

O

H

H

O

H

H

O

H

H

H

H

H

H

H

H

HH

H

H

H

H

H

H

H

H

H H

H

H

H

H H H

H

H H

1

32

45

H

HH

O H

O

H

H

H

H

H

H

H

OH HO

H

H

H

H

H

H

H

AC OH H

B

OH H

D

Steps in acid for each tautomeric change:1. proton transfer (proton off, best base = HO )2. resonance intermediates3. proton transfer (proton on, best acid = H2O)

HO

A

B

O

H

H

H

H

H

H

H

O

H

H

H

H

H

H

H

O

H

H

H

H

H

H

H

D

OH

O

H

H

HH

H

H H

O

H

H

HH

H

H H

C

E

EF

F

OH H

G

G

O

H

H

O

H

H

O

H

H

O

H

H

O

H

H

H

H

H

H

H

H

HH

H

H

H

H

H

H

H

H

H H

H

H

H

H

H H

H

H H

1

3

2

4

5

H

H

H

OH

H

H

O

H

H

H

H

H

H

H

H

H

OH H

O

H

H

H

H

H

H

H

H

H

AA

OH H

OH

H

H

B

B

O

H

H

H

HH

H

H

H H

O

H

H

H

HH

H

H

H H

O

H

H

HH

H

H

H H

H

OH H

C

OH H

D

CD

Steps in acid for each tautomeric change:1. proton transfer (proton on, best acid = H3O+)2. resonance intermediates3. proton transfer (proton off, best base = H2O)

Remember: each tautomer has the same overall formal charge and the same total number of pi bonds.

Remember: each tautomer has the same overall formal charge and the same total number of pi bonds.

OH

H

H

OH

H

H

O H

O H

O H

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Possible Key for arrow-pushing in “tautomer” problems

O

H

H

O

H

H

O

H

H

O

H

H

O

H

H

H

H

H

H

H

H

HH

H

H

H

H

H

H

H

H

H H

H

H

H

H H H

H

H H

1

32

45

H

HH

O H

O

H

H

H

H

H

H

H

OH HO

H

H

H

H

H

H

H

AC OH H

B

OH H

D

Steps in acid for each tautomeric change:1. proton transfer (proton off, best base = HO )2. resonance intermediates3. proton transfer (proton on, best acid = H2O)

HO

A

B

O

H

H

H

H

H

H

H

O

H

H

H

H

H

H

H

O

H

H

H

H

H

H

H

D

OH

O

H

H

HH

H

H H

O

H

H

HH

H

H H

C

E

EF

F

OH H

G

G

O

H

H

O

H

H

O

H

H

O

H

H

O

H

H

H

H

H

H

H

H

HH

H

H

H

H

H

H

H

H

H H

H

H

H

H

H H

H

H H

1

3

2

4

5

H

H

H

OH

H

H

O

H

H

H

H

H

H

H

H

H

OH H

O

H

H

H

H

H

H

H

H

H

A A

OH H

OH

H

H

B

B

O

H

H

H

HH

H

H

H H

O

H

H

H

HH

H

H

H H

O

H

H

HH

H

H

H H

H

OH H

C

OH H

DC

D

Steps in acid for each tautomeric change:1. proton transfer (proton on, best acid = H3O+)2. resonance intermediates3. proton transfer (proton off, best base = H2O)

Remember: each tautomer has the same overall formal charge and the same total number of pi bonds.

Remember: each tautomer has the same overall formal charge and the same total number of pi bonds.

OH

H

H

OH

H

H

O H

O H

O H

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Problem 1 – What happens if we change one carbon in the ring above to a nitrogen atom? Take a look below. There might be more, but these are all of the tautomers I could think of.

H3O H2OH2O HO

N

O

N

O

N

O

N

O

N

O

H

H

H

H

H

H

HH

H

HHH

H

H

H

H

H HH

H

H

HH H

H

H H1 32 4 5

H HH

Every tautomer can be converted into every other tautomer in acid or in base (= 13 x 12 x 2 = 312 possibilities). Use the tautomer maps below to see how many steps it takes and a path for interconversion between any two tautomers.

H H H H H

N

O

H H

N

O

H

H

H H

H H

N

O

H

H H

H

N

O

H

HH

H

H

N

O

H

HH

H

N

O

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

N

O

H

H

H

H

H

H

6

7 8 9 10 11 12

N

O

H

HH

H

H

H

HHH

13

H

123

1310

4

8

9

7

5

11

612

Base - tautomer interchange map

Acid - tautomer interchange map

123

1310

4

8

9

7

5

11

612

In the examples on the following pages, the starting tautomer can be converted into the following tautomers in two tautomer changes under the conditions specified at the top of the page, as also shown in the tautomer maps above. A complete mechanism for 1 13 in acid and in base is provided on the last page of this topic. Two step changes in either direction in base

N

O

HH

H

H

H H1

H N

O

H

H H

H

H

H9

H

N

O

H

H

H H

H

H

8

H

N

O

H

H

H

H

H

H

4

HN

O

H

HH

H

H

H

H10

N

O

H

HH

H

H

H

13

H

N

O

H H

H

H H2

H

H

N

O

H

HH

H

H3

H

HN

O

H H

H H

H

H

H7

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N

O

H

HH

H

H3

H

H

N

O

H

H

H

H

H

5

H

H

N

O

H

HH

H

H

H

H

11

N

O

H H

H

H H2

H

H

N

O

H

H

H

H

H

H

4

H N

O

H

H

H

H

H

H

H

6

N

O

H

H

H

H

H

H

12

H

N

O

HH

H

H

H H1

H N

O

H

HH

H

H

H

13

H

N

O

H

H

H

H

H

5

H

H

N

O

H

HH

H

H3

H

H

N

O

H

HH

H

H

H

H

11

N

O

H H

H H

H

H

H7

N

O

H

H

H

H

H

H

H

6

N

O

H

H

H

H

H

H

4

H N

O

H

H H

H

H

H9

H

N

O

H

HH

H

H

H

H10

N

O

H H

H H

H

H

H

7

N

O

H H

H

H H2

H

H

N

O

H

H

H H

H

H

8

H

N

O

H

HH

H

H

H

H

N

O

H

H

H

H

H

H

11 12

H

N

O

H

H

H

H

H

5

H

H

N

O

H

H

H H

H

H

8

H

N

O

HH

H

H

H H1

HN

O

H H

H H

H

H

H7

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N

O

H

H H

H

H

H9

H

N

O

HH

H

H

H H1

H N

O

H

H

H

H

H

H

H

6

N

O

H

HH

H

H

H

H10

N

O

HH

H

H

H H1

H

N

O

H

H

H

H

H

H

4

H N

O

H

H

H

H

H

H

H

6

N

O

H

HH

H

H

H

H

11

N

O

H

HH

H

H3

H

HN

O

H

HH

H

H

H

13

H

N

O

H H

H H

H

H

H7

N

O

H

H

H

H

H

H

12

H

N

O

H

H

H

H

H

5

HH

N

O

H

H

H

H

H

H

12

H

N

O

H

H

H

H

H

H

4

H

N

O

H

HH

H

H

H

H

11

N

O

H H

H H

H

H

H7

N

O

H

HH

H

H

H

13

H

N

O

H

HH

H

H

H

H

11

N

O

H

H

H

H

H

H

4

HN

O

HH

H

H

H H1

H

Acid/Base stuff Beauchamp 29

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Two step changes in either direction in acid

N

O

HH

H

H

H H1

HN

O

H

H H

H

H

H9

H

N

O

H

H

H H

H

H

8

H

N

O

H

H

H

H

H

H

4

H N

O

H

HH

H

H

H

H10

N

O

H

HH

H

H

H

13

H

N

O

H H

H

H H2

H

H

N

O

H

HH

H

H3

H

HN

O

H H

H H

H

H

H

7

N

O

H

HH

H

H3

H

H

N

O

H

H

H

H

H

5

H

H

N

O

H

HH

H

H

H

H

11

N

O

H H

H

H H2

H

H

N

O

H

H

H

H

H

H

4

HN

O

H

H

H

H

H

H

H

6

N

O

H

H

H

H

H

H

12

H

N

O

HH

H

H

H H1

H N

O

H

HH

H

H

H

13

H

N

O

H

H

H

H

H

5

H

H

N

O

H

HH

H

H3

H

H

N

O

H

HH

H

H

H

H

11

N

O

H H

H H

H

H

H

7

N

O

H

H

H

H

H

H

H

6

N

O

H

H

H

H

H

H

4

H N

O

H

H H

H

H

H9

H

N

O

H

HH

H

H

H

H10

N

O

H H

H H

H

H

H7

N

O

H H

H

H H2

H

H

N

O

H

HH

H

H

H

H

11

N

O

H

HH

H

H

H

H10

N

O

H

H

H

H

H

5

H

H

N

O

H

H

H

H

H

H

12

H

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Two step changes in either direction in acid

N

O

H

H

H H

H

H

8

H

N

O

H

H H

H

N

O

H

HH

H

H

N

O

H

HH

H

H

H

H

H

H

H

H

N

O

H

H

H

H

H

H

9

10

11

12

N

O

H

HH

H

H

H

H

H

13

H

N

O

HH

H

H

H H1

H

N

O

HH

H

H

H H1

H N

O

H

H

H

H

H

H

H

6

N

O

HH

H

H

H H1

H

N

O

H

H

H

H

H

H

4

H N

O

H

H

H

H

H

H

H

6

N

O

H

HH

H

H3

H

H

N

O

H H

H H

H

H

H7

N

O

H

H

H

H

H

H

4

H

N

O

H

H

H

H

H

H

4

HN

O

HH

H

H

H H1

H

N

O

H

H H

H

H

H9

H

N

O

H

HH

H

H

H

13

H

N

O

H

H

H

H

H

5

H

H

N

O

H

H

H

H

H

H

H

6

N

O

H

HH

H

H

H

H10

N

O

H

H

H H

H

H

8

H

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Problem 2 – Another small change using three carbon atoms. These changes can occur in acid or in base.

O

H

OH

H2N OH

H

OH

H2N OH

H

O

H2N OH

H

OH

H2N OH

H

OH

HN

E/Z possibilities E/Z possibilities E/Z possibilities

The DNA and RNA bases have a lot of tautomeric possibilities.

N

NN

N

N

Adenine

N

NN

N

O

Guanine

N

Cytosine ThymineDNA

UracilRNA

N

N

O

O N

N

O

ON

N

N

O

H

H H

H

HH

HH

H

H H

H

H

H

A T G C2 hydrogen bonds 3 hydrogen bonds

Another example of keto/enol tautomer problems. (It never ends.)

Circle the protons gained in the product structure.

Circle the protons lostin the starting structure.

O

OH H H H

H

H H

acid or base

1. The circled protons have to be moved, either taken off (with the best base available) or put on (with the best acid available). Best acid in H3O

+/H2O is H3O+, best base in H3O

+/H2O is H2O best base in H2O/HO -- is HO -- and the best acid in H2O/HO -- is H2O

2. Always work from a "keto" or "enol" part of the molecule. Do not use isolated pi bonds to change the structure. The keto or enol part will be the better base or the better acid, as is indicated because it will form a resonance stabilized intermediate with the oxygen (or nitrogen, or…) assisting in the resonance structures.

3. If in acid, use the strongest acid to put on a "gained" proton first and take off a "lost" proton second, usually by a weak base (solvent).

4. If in base, use the strongest base to take off a "lost" proton first and put on a "gained" proton second usually by a weak acid (solvent).

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5. In all mechanisms there will be resonance structures in the intermediate formed. The intermediate structure will show the way to all reasonable tautomers of that intermediate. You may have to repeat the process once, twice, etc. until you accomplish the overall indicated transformation. Counting the number of protons lost or the number of protons gained will give you an indication of how many times you may have repeat the tautomerization process. This may not always match however. Finally, there is always the same number of pi bonds in each tautomer and same overall formal charge.

Example1 (in strong acid): In acid a proton goes on first, then another proton comes off. There is no enol, only a keto, so begin there and make into an enol. In this example it is difficult to see this because the proton added to the oxygen will be lost at the end and will not show up in the overall transformation. Rule 2 requires that we begin at a keto or an enol, so this our only option. In the second step we remove the proton that allows conjugation with the middle, isolated pi bond with the newly formed enol. Once conjugated, the middle, formerly isolated double bond can be protonated forming a new cationic intermediate having resonance structures, including the oxygen with full octets. This then allows you to take off one of the lost protons to form an extended enol. The enol can gain a proton at the other "gained" position and then the "invisible" proton transfer occurs when a proton is taken off the oxygen. Try to think these steps through on your own after studying the problem.

O

OH H H H

H

H H

overall transformation

OH H OH H

H

O

H H H H

H

resonance

O

H H H H

HO

H H

H

H

OH2H

O

H H

H

H

H

O

H H

H

H

H

O

H H

H

H

H

Note that all proton transfers in this problem occur between weak bases and strong acids.

O

H

H

H2O

H

H2O H

O

H

H

H

H

H

O

H

H

H

H

H

OH2

O

H

H

H

H

Redo this problem using a base solution, or work it backwards in acid or base.

resonance

resonance

resonance

resonance

O

H

H

H

H

H

O

H

H

H

H

Hresonance

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Example 2 (strong base): Begin at the enol portion and remove one of the lost protons (on oxygen) and generate an enolate using the best base, HO-. Draw the other resonance form and reprotonate at the carbanion site. Pull off a proton from the other "lost" position, which is now tied into the keto structure (negative charged pushed to oxygen). This will form a resonance delocalized extended enolate. There are several "negative" sites that could be protonated. You need to protonate the site that the problem tells you picked up a new proton. That generates the final structure.

Redo this problem using an acid solution, or work it backwards in base or acid.

O

H

H

overall transformation

O H OH H

resonance

OH

Note that all proton transfers in this problem occur between strong bases and a weak acid.

resonance

resonance

HH

H

H

H

O

H

O

H

O

H

H

HO H

O

H

H

O

H

H

O

H

HOH H

O

H

H

H

H

Additional problems: Try to approach each tautomer problem in some systematic manner similar to the above (in acid and/or base).

Same molecule redrawn with H's lost and added in the next sequence.

O O O

H OH

H

H

H

OH

H H O

O

O

HH H

H HH

many steps many steps

Note: There are always the same number of pi bonds and the same overall charge in each tautomer.

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Example tautomer reactions in acid and in base.

N

O

HH

H

H

H H1

HN

O

H

HH

H

H

H

13

H

OH H

step 1resonance

O

H

H H

OH H

N

O

HH

H

H

H H

H

H

resonance N

O

HH

H

H

H H

H

H

resonance N

O

HH

H

H

H H

H

H

N

O

HH

H

HH

H

H

OH H

N

O

HH

H

HH

H

H

H

N

O

HH

H

HH

H

H

H

resonanceN

O

H

HH

H

H

H

H

HH2O

step 2

N

O

HH

H

H

H H1

HN

O

H

HH

H

H

H

13

H

O H

OH H

N

O

HH

H

HH

H

N

O

HH

H

HH

H

N

O

HH

H

HH

H

OH H

N

O

HH

H

HH

H

H

OH

N

O

HH

H

H

H

H

N

O

H

HH

H

H

HOH H

step 1

resonance resonance

resonance

N

O

HH

H

H

H

H

resonance

tautomer reactions in base

tautomer reactions in acid