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    54 Lecture Supplement: Proton NMR Spectroscopy

    Proton Nuclear Magnetic Resonance (1H-NMR) Spectroscopy

    Fundamental principle: The energy required to cause nuclear spin flip is a function of

    the magnetic environment experienced by the nucleus.

    Charged particle (nucleus or electron) in motion creates a magnetic field. In an external magnetic field, the magnetic moment (spin) of 1H nucleus (a

    proton) becomes aligned with the external field (lower energy) or against it

    (higher energy).

    Externalmagnetic

    field

    No external magnetic field With external magnetic field

    Addition of energy results in nuclear spin flip:

    E ~ 0.02 cal mol-1

    = radio wave photons

    Add energy

    Relax (release energy)

    Ground state

    Nuclear spin parallel toexternal magnetic field

    Lower energy

    Excited state

    Nuclear spin antiparallelto external magnetic field

    Higher energy

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    Lecture Supplement: Proton NMR Spectroscopy 55

    What does an NMR spectrum look like?

    NMR signal observed when radio waves supplied match E for nucleus underobservation in the external magnetic field; proton is said to be in resonance.

    Downfield (deshielded)low magnetic field strength

    Upfield (shielded)high magnetic field strength

    Intensity

    NMR signal

    Information From NMR Spectrum

    What information from the NMR spectrum is useful to deduce molecular structure?

    Number of signals Position of signals (chemical shift) Relative intensity of signals (integration) Splitting of signals (spin-spin coupling)

    Number of Signals

    Protons in the same magnetic environment are equivalent: give same signal Nonequivalent protons give different signals Therefore number of signals = number of equivalent sets of protons in molecule

    Examples:

    HF versus HCl H C

    H

    H

    Cl

    H C

    H

    H

    C

    H

    H

    Cl H C

    H

    H

    C

    H

    H

    OH

    H C

    F

    F

    C

    Cl

    Cl

    H F C

    H

    H

    C

    Cl

    Cl

    F

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    56 Lecture Supplement: Proton NMR Spectroscopy

    HH

    H

    HH

    H

    HH

    H

    CH3H

    H

    Sample Spectra Verify what we have learned about equivalent protons.

    CH3 C

    CH3

    CH3

    CH2OH

    H

    HH

    H

    OH

    OH

    Position of Signals: The Chemical Shift

    Magnetic field at nucleus influences E

    Magnetic field strength

    Spin

    state

    energy

    E

    spin parallel to applied magnetic field

    spin antiparallel to applied magnetic field

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    Lecture Supplement: Proton NMR Spectroscopy 57

    What contributes to magnetic field felt by nucleus?

    Magnetic fields of earth and NMR spectrometer: same for all nuclei in molecule Magnetic fields provided by electrons and other nuclei in molecule: varies

    between nuclei in molecule

    Chemical shift

    E scale that is independent of spectrometers magnetic field Chemical shift identical for a given proton regardless of spectrometer used Chemical shift unit = parts per million (ppm) Most proton chemical shifts 0-15 ppm range Represents E relative to reference proton: (CH3)4Si (tetramethylsilane; TMS) =

    0.00 ppm by definition

    How does chemical shift depend on molecular structure?

    Molecule 1H-NMR chemical shift

    (CH3)4Si 0.00 ppm

    CH4

    CH3I

    CH3Br

    CH3Cl

    CH3F

    CH2Cl2

    CHCl3

    CCl4

    How does electronegativity influence chemical shift? Electron cloud shields nucleus from applied magnetic field Electronegative atoms remove electron density from proton Less electron density = less shielding = higher chemical shift

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    58 Lecture Supplement: Proton NMR Spectroscopy

    Characteristic Proton NMR Chemical Shifts (ppm)

    RCH3 0.9 RCCH 2.5 ArH 6.5 - 8

    RCH2R acyclic 1.3 RNHCH3 2 3 RCHO, ArCHO 9.5 11

    RCH2R cyclic 1.5 RCH2X(X = Cl, Br, I)

    3.5 RNH2 1 3

    R3CH 1.5 2.0 RCH2NR2 2.3 2.7 ArNH2 3 5

    CH3R

    R R

    1.8 OCH3 3.8 R N

    O

    R

    H

    5 9

    R CH3

    O

    2.0 2.6 OCH2 3.3 4.1 ROH 1 5

    CH2R

    O

    2.2 3.0 R2C=CH2 5.0 ArOH 4 7

    ArCH3 2.3 RCH=CR2 5.3 RCO2H 10 13

    ArCH2R 2.6

    The exact chemical shift for each proton type does not need to be memorized. This

    table will be provided on an exam if needed.

    Similar functional group = similar chemical shift.

    Characteristic chemical shifts are averages for typical protons. Vary somewhat between

    molecules. Example:

    CH3O CH3

    O

    2.01 ppm

    CH3

    O

    2.59 ppm

    Other useful chemical shift observations

    Chemical shift RCH3 < RCH2R < R3CH, because EN of C > EN of H Electron-withdrawing or donating effects on chemical shift decrease with

    distance. Example:

    CH3OH CH3CH2OH CH3CH2CH2OH

    3.39 ppm 1.18 ppm3.59 ppm

    0.93 ppm1.53 ppm

    3.49 ppm

    CH4

    0.23 ppm

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    Lecture Supplement: Proton NMR Spectroscopy 59

    Unlike IR stretching frequencies, we cannotuse characteristic chemical shiftstable to assign proton types to NMR signals. Example: 3.8 ppm not alwaysROCH3 and 2.2 not always ArCH3.Exception: 6.5 8.0 ppm usually (not always)

    benzene ring protons.

    Probably benzenering protons

    3.7 ppm notnecessarily OCH3

    2.2 ppm notnecessarily ArCH3

    TMS0.00 ppm

    Relative Intensity of Signals: Integration

    Beers Law: amount of energy absorbed or transmitted moles of stuff present For NMR, amount of radio energy proportional to area under peak in spectrum

    (area measurement = integration)

    Relative intensities of signals proportional to relative number of equivalentprotons

    Integrals do not always correspond to exact number of protons

    Sample NMR Spectra Verify what we have learned so far about equivalent protons,

    chemical shifts and integration.

    H C

    H

    H

    OH4.19 ppm: integral = 1.0 (1 H)

    3.41 ppm: integral = 3.0 (3 H)

    Smallest integral often set = 1

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    60 Lecture Supplement: Proton NMR Spectroscopy

    3.19 ppm: integral = 1.0 (6 H)

    1.33 ppm: integral = 1.0 (6 H)

    Proton count = 6 : 6Integration = 1 : 1

    Integration gives ratio of

    protons, which is often notthe exact number of protons.

    Splitting of NMR Signals: Spin-Spin Coupling

    1

    H-NMR spectrum of CH3CH2Br: more complex than we might have predicted!

    CH3CH2Br

    Four lines

    a quartet

    Three lines

    a triplet

    3.43 ppm: integral = 1.0 (2 H)

    1.68 ppm: integral = 1.5 (3H)

    What is the origin of this extra complexity?

    Ha C C Hb

    Ha, Hb parallel

    Ha, Hb antiparallel

    Different spin flip energies (E) for Ha

    two chemical shifts for Ha Ha signal is

    split into two lines (a doublet)

    Spin-spin coupling: spin of one nucleus influences the spin of another nucleus

    Splitting: effect on NMR spectrum caused by spin-spin coupling

    Coupling constant(J): spacing between lines in a splitting pattern J

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    Lecture Supplement: Proton NMR Spectroscopy 61

    What happens to splitting when there is more than one neighbor?

    Example: Ha has two neighbors (Hb and Hc)Ha C C Hc

    Hb

    equalenergy

    Two neighborsparallel to Ha

    One parallel, one

    antiparallel to Ha

    Two neighbors

    antiparallel to Ha

    Three possible neighbor spin

    states; Ha signal split into three

    lines (a triplet) in 1:2:1 ratio

    a triplet

    In general: the signal for a proton with n neighbors is split into n+1 lines.

    No neighbors singlet; one neighbor doublet; two neighbors triplet;

    three neighbors quartet; four neighbors pentet, etc.

    Rules and Restrictions for Proton-Proton Spin-Spin Coupling

    What are the restrictions on spin-spin coupling? What constitutes a coupling neighbor?

    1. Only nonequivalent protons couple.

    Ha C

    Hb

    H

    C

    Hc

    H

    C

    Hd

    H

    C

    H

    H

    H

    X

    X

    Hb couples with Hc.

    Hb and Ha do not couple because they are equivalent.

    Hc and Hd do not couple because they are equivalent.

    2. Protons separated by more than three single bonds usually do not couple.

    Ha C

    Hb

    C C

    Hc

    Hd

    X Ha can couple with HbHa can couple with HcHa cannot couple with Hd

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    62 Lecture Supplement: Proton NMR Spectroscopy

    Pi bonds do not count toward the bond limit, but the coupling constants may be too

    small to be resolved.

    C

    Hb

    Ha

    C

    C

    Hc

    Hd

    Ha can couple with Hb, Hc and Hd, butJad may be small.

    CH2CH3

    CH3

    H

    X

    X

    The benzene ring coupling club: a benzene ring

    blocks some coupling that otherwise should beobserved (i.e,Jis too small).

    All nonequivalent benzene ring protons may couple with each other, but the coupling

    constants may be too small to be resolved.

    CH3

    OCH3Hb

    Hc

    Ha

    Hd

    Ha, Hb, Hc and Hd all couple with each other, butJad may be small.

    3. Signals for O-H and N-H protons are usually singlets. (Splittingof O-H or N-H protons is observed only in highly pure samples,

    and is very rare.)H2N C

    H

    H

    C

    H

    H

    OH

    Singlets

    Sample Spectra Verify what we have learned about equivalency, chemical shifts,

    integration and splitting.

    1H-NMR (ppm):

    3.39 (triplet, integral = 1.0)

    1.87 (sextet, integral = 1.0)

    1.03 (triplet, integral = 1.5)

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    Lecture Supplement: Proton NMR Spectroscopy 63

    1H-NMR (ppm):3.79 (septet, integral = 1.0)

    1.31 (doublet, integral = 6.0)

    1

    H-NMR (ppm):5.66 (multiplet, integral = 1.0)

    1.98 (multiplet, integral = 2.0)

    1.16 (multiplet, integral = 2.0)

    Multiplet: a splitting patternthat is too complex to

    decipher.

    Non-First Order Splitting (such as a doublet of doublets)

    Normal splitting patterns occur when coupling constants of neighboring protons are

    equal. Example: The CH of CHCH2 is a triplet whenJab = Jac. When Jab Jac, more

    complex patterns arise, such as a doublet of doublets.

    C C

    Ha Hb

    Hc

    J

    Jab =Jacnormal triplet

    JabJacdoublet of doublets

    For this course, we will assume that coupling constants are usually equal, and that

    normal splitting patterns will usually be observed. Exceptions are plentiful.

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    64 Lecture Supplement: Proton NMR Spectroscopy

    1H-NMR (ppm):5.83 (doublet of doublets,

    integral = 1.0)

    Doublet of doublets = | | | |_

    4.93 - 4.82 (multiple, integral

    = 2.0)

    1.00 (singlet, integral = 9.0)

    H

    O 1H-NMR(ppm):

    10.00 (singlet, integral = 1.0)

    7.87 - 7.56 (multiplet, integral

    = 5.0)

    1H-NMR (ppm):7.38 - 7.00 (multiplet, integral

    = 1.7)

    2.34 (singlet, integral = 1.0)

    Splitting Jab seems to

    disappear as Ha Hbchemical shift difference

    becomes smaller.

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    Lecture Supplement: Proton NMR Spectroscopy 65

    How do we decude molecular structure from NMR spectra?

    Formula: C9H12

    1H-NMR: 7.40 7.02 ppm (multiplet, integral = 5); 2.57 ppm (triplet, integral = 2); 1.64ppm (sextet, integral = 2) and 0.94 ppm (triplet, integral = 3).