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Nuclear Magnetic Resonance Spectroscopy: Tools for Structure Determination Chung-Ming Sun Department of Applied Chemistry National Chiao Tung University Hualien 300, Taiwan

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Nuclear Magnetic

Resonance Spectroscopy:

Tools for Structure Determination

Chung-Ming Sun

Department of Applied Chemistry

National Chiao Tung University

Hualien 300, Taiwan

Chapter 13 2

Introduction

• NMR (Nuclear Magnetic Resonance) is the most powerful tool available for organic structure determination.

• It is used to study a wide variety of nuclei:

1H

13C

15N

19F

31P

=>

Chapter 13 3

Nuclear Spin

• A nucleus with an odd atomic number or an odd

mass number has a nuclear spin.

• 1H has a spin quantum number I = 1/2 and has allowed spin states of +1/2 or -1/2

• Other nuclei with I = 1/2 are 13C, 19F and 31P and these also respond to an external magnetic field

• Nuclei with I = 0 do not have spin (12C and 16O) and do not respond to an external magnetic field

Chapter 13 4

The spinning charged nucleus

generates a magnetic field.

Chapter 13 5

External Magnetic Field

When placed in an external field, spinning protons act like bar magnets. The nucleiof NMR-active nuclei behave like tiny bar magnets

=>

Chapter 13 6

• alpha-spin state and beta-spin state

Chapter 13 7

Nuclear Spin: The Origin of the Signal

Chapter 13 8

In the absence of an external

magnetic field, proton magnetic

moments have random orientations.

Chapter 13 9

NMR absortion

The magnetic fields of the spinning nuclei will align either withthe external field, or against the field.

A photon with the right amount of energy can be absorbed and cause the spinning proton to flip.

Chapter 13 10

E and Magnet Strength• Energy difference is proportional to the

magnetic field strength.

• E = h = h B0

2

• Gyromagnetic ratio, , is a constant for

each nucleus (26,753 s-1gauss-1 for H).

• In a 14,092 gauss field, a photon of 60

MHz is required to flip a proton.

• Low energy, radio frequency. =>

Chapter 13 11

NMR involves absorption of energy in the

radiofrequency rang p.510

Chapter 13 12

The stronger the external magnetic field,

the higher the radio frequency energy

required to flip the nuclear spin

Chapter 13 13

Magnetic Shielding

• If all protons absorbed the same

amount of energy in a given magnetic

field, not much information could be

obtained.

• But protons are surrounded by electrons

that shield them from the external field.

• Circulating electrons create an induced

magnetic field that opposes the external

magnetic field. =>

Chapter 13 14

Shielded Protons

Magnetic field strength must be increased for a

shielded proton to flip at the same frequency.

Chapter 13 15

Protons in a Molecule

Depending on their chemical

environment, protons in a molecule are

shielded by different amounts.

=>

Chapter 13 16

NMR Signals

• The number of signals shows how many

different kinds of protons are present.

• The location of the signals shows how

shielded or deshielded the proton is.

• The intensity of the signal shows the

number of protons of that type.

• Signal splitting shows the number of

protons on adjacent atoms. =>

Chapter 13 17

The NMR Spectrometer

=>

Chapter 13 18

Chapter 13 19

The NMR GraphThe absorptions of more shielded protons

appear upfield, toward the right of the spectrum

=>

Chapter 13 20

Tetramethylsilane

• TMS is added to the sample.

• Since silicon is less electronegative than carbon, TMS protons are highly shielded. Signal defined as zero.

• Organic protons absorb downfield (to the left) of the TMS signal.

=>

Si

CH3

CH3

CH3

H3C

Chapter 13 21

Chemical Shift

• Measured in parts per million (ppm).

• Ratio of shift downfield from TMS (Hz) to total spectrometer frequency (Hz).

• Same value for 60, 100, or 300 MHz NMR machine.

• Called the delta (d) scale.

• Each d unit is 1 ppm difference from TMS: 60 Hz at 60 MHz and 300 Hz at 300 MHz

Chapter 13 22

• Table 13-1

• The chemical shift of the methyl protons depends on the electronegativity of the substituent.

• With more electronegative substituents deshielding more and giving larger chemical shifts.

• The effect of an electron-withdrawing substituent decreases with increasing distance.

Chapter 13 23

Delta Scale

=>

Chapter 13 24

Location of Signals

• More electronegative

atoms deshield more and

give larger shift values.

• Effect decreases with

distance (< four bonds).

• Additional electronegative

atoms cause increase in

chemical shift about 2-3

ppm each time.

Chapter 13 25

Typical Values

=>

Chapter 13 26

Aromatic Protons, d7-8 ppm

=>

Chapter 13 27

Chapter 13 28

Vinyl Protons, d5-6 ppm

=>

Chapter 13 29

Acetylenic Protons, d2.5

=>

Chapter 13 30

Aldehyde Proton, d9-d10

=>

Electronegative

oxygen atom

Chapter 13 31

O-H and N-H Signals

• Chemical shift depends on concentration.

• Hydrogen bonding in concentrated

solutions deshield the protons, so signal is

around d 3.5 for N-H and d 4.5 for O-H.

• Proton exchanges between the molecules

broaden the peak.

Chapter 13 32

Carboxylic Acid

Proton, d10+

=>

Chapter 13 33

Number of SignalsEquivalent hydrogens have the same

chemical shift.

=>

Chapter 13 34

Intensity of Signals• The area under each peak is

proportional to the number of protons.

• Shown by integral trace.

=>

Chapter 13 35

How Many Hydrogens?

When the molecular formula is known, each integral rise can be assigned to a particular number of hydrogens (p.575).

Chapter 13 36

Spin-Spin Splitting

• Nonequivalent protons on adjacent carbons

have magnetic fields that may align with or

oppose the external field.

• This magnetic coupling causes the proton

to absorb slightly downfield when the

external field is reinforced and slightly

upfield when the external field is opposed.

• All possibilities exist, so signal is split.

Chapter 13 37

1,1,2-Tribromoethane

Nonequivalent protons on adjacent carbons.

=>

Chapter 13 38

Doublet: 1 Adjacent Proton

=>

Chapter 13 39

Triplet: 2 Adjacent Protons

=>

Chapter 13 40

The N + 1 Rule

If a signal is split by N equivalent protons,

it is split into N + 1 peaks.

=>

Chapter 13 41

Range of Magnetic

Coupling (p.579)

• Equivalent protons do not split each other.

• Protons bonded to the same carbon will split each other only if they are not equivalent- 2J(geminal coupling)

• Protons on adjacent carbons normally will couple- 3J(vicinal coupling)

• Protons separated by four or more bonds will not couple( 距離太遠)- 4J~0

=>

Chapter 13 42

Chapter 13 43

Splitting for Ethyl Groupsp.579

=>

Chapter 13 44

Roof effect

• A multiplet often lean upward toward the

protons that are causing the splitting

Chapter 13 45

Splitting for

Isopropyl Groups (p.581)

=>

Chapter 13 46

Coupling Constants (J)

• Distance between the peaks of multiplet

• Measured in Hz

• Not dependent on strength of the external

field

• Multiplets with the same coupling constants

may come from adjacent groups of protons

that split each other (p.581).

Chapter 13 47

Values for

Coupling Constants

=>

Chapter 13 48

Para, ortho and meta isomers of

nitrotoluene

Chapter 13 49

• Cis coupling constant of two vinyl

protons is J = 9 Hz.

Chapter 13 50

• trans coupling constant of two vinyl

protons is J = 15 Hz. (p.584)

Chapter 13 51

Complex Splitting

• Signals may be split by adjacent

protons, different from each other, with

different coupling constants.

• Example: Ha of styrene which is split by

an adjacent H trans to it (J = 17 Hz) and

an adjacent H cis to it (J = 11 Hz).

=>

C C

H

H

Ha

b

c

Chapter 13 52

Splitting TreeC C

H

H

Ha

b

c

=>

Chapter 13 53

Spectrum for Styrene

=>

Chapter 13 54

Stereochemical Nonequivalence

• Usually, two protons on the same C are

equivalent and do not split each other.

• If the replacement of each of the protons of

a -CH2 group with an imaginary “Z” gives

stereoisomers, then the protons are non-

equivalent and will split each other.

=>

Chapter 13 55

Some Nonequivalent

Protons

C C

H

H

Ha

b

cOH

H

H

H

a

b

c

d

CH3

H Cl

H H

Cl

a b =>

Chapter 13 56

Chapter 13 57

Chapter 13 58

Chapter 13 59

Hc (He) are diastereotopic to Hd (Hf) and two sets

of protons absorb at different magnetic field and

are capable of splitting each other

Chapter 13 60

The two protons on the –CH2Cl

group are diastereotopic

Chapter 13 61

Diastereotopic protons in 1,2-

dichloropropane

Chapter 13 62

Time Dependence

• Molecules are tumbling relative to the

magnetic field, so NMR is an averaged

spectrum of all the orientations.

• Axial and equatorial protons on

cyclohexane interconvert so rapidly that

they give a single signal.(p.591)

• Proton transfers for OH and NH may occur

so quickly that the proton is not split by

adjacent protons in the molecule.

=>

Chapter 13 63

Chapter 13 64

Hydroxyl Proton

• Ultrapure samples

of ethanol show

splitting.

• Ethanol with a small

amount of acidic or

basic impurities will

not show splitting.=>

Chapter 13 65

N-H Proton

• Moderate rate of exchange.

• Peak may be broad.

=>

Chapter 13 66

Identifying the O-H

or N-H Peak• Chemical shift will depend on

concentration and solvent.

• To verify that a particular peak is due to

O-H or N-H, shake the sample with D2O

• Deuterium will exchange with the O-H

or N-H protons.

• On a second NMR spectrum the peak

will be absent, or much less intense.

Chapter 13 67

Common chemical shifts in the 1H NMR spectrum(p-594)

Chapter 13 68

Carbon-13

• 12C has no magnetic spin.

• 13C has a magnetic spin, but is only 1% of

the carbon in a sample.

• The gyromagnetic ratio of 13C is one-

fourth of that of 1H.

• Signals are weak, getting lost in noise.

• Hundreds of spectra are taken, averaged.

=>

Chapter 13 69

Fourier Transform NMR• Nuclei in a magnetic field are given a

radio-frequency pulse close to their

resonance frequency.

• The nuclei absorb energy and precess

(spin) like little tops.

• A complex signal is produced, then

decays as the nuclei lose energy.

• Free induction decay is converted to

spectrum. =>

Chapter 13 70

Hydrogen and Carbon

Chemical Shifts

=>

Chapter 13 71

Combined 13C

and 1H Spectra

=>

Chapter 13 72

Differences in 13C Technique

• Resonance frequency is ~ one-fourth,

15.1 MHz instead of 60 MHz.

• Peak areas are not proportional to

number of carbons.

• Carbon atoms with more hydrogens

absorb more strongly.

=>

Chapter 13 73

Spin-Spin Splitting

• It is unlikely that a 13C would be adjacent to another 13C, so splitting by carbon is negligible.

• 13C will magnetically couple with attached protons and adjacent protons.

• These complex splitting patterns are difficult to interpret.

=>

Chapter 13 74

Proton Spin Decoupling

• To simplify the spectrum, protons are continuously irradiated with “noise,” so they are rapidly flipping.

• The carbon nuclei see an average of all the possible proton spin states.

• Thus, each different kind of carbon gives a single, unsplit peak.

=>

Chapter 13 75

Off-Resonance Decoupling

• 13C nuclei are split only by the protons

attached directly to them.

• The N + 1 rule applies: a carbon with N

number of protons gives a signal with

N + 1 peaks.

=>

Chapter 13 76

Interpreting 13C NMR

• The number of different signals indicates

the number of different kinds of carbon.

• The location (chemical shift) indicates the

type of functional group.

• The peak area indicates the numbers of

carbons (if integrated).

• The splitting pattern of off-resonance

decoupled spectrum indicates the number

of protons attached to the carbon. =>

Chapter 13 77

Two 13C NMR Spectra

=>

Chapter 13 78

Chapter 13 79

MRI

• Magnetic resonance imaging, noninvasive

• “Nuclear” is omitted because of public’s

fear that it would be radioactive.

• Only protons in one plane can be in

resonance at one time.

• Computer puts together “slices” to get 3D.

• Tumors readily detected.

=>