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Nuclear Magnetic Resonance. Chapter 13. . . . . Molecular Spectroscopy. Nuclear magnetic resonance (NMR) spectroscopy: a spectroscopic technique that gives us information about the number and types of atoms in a molecule, for example, about the number and types of hydrogen atoms using 1H-NMR spectroscopycarbon atoms using 13C-NMR spectroscopyphosphorus atoms using 31P-NMR spectroscopy.
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1. Organic Chemistry William H. Brown
Christopher S. Foote
Brent L. Iverson
2. Nuclear Magnetic Resonance Chapter 13
3. Molecular Spectroscopy Nuclear magnetic resonance (NMR) spectroscopy: a spectroscopic technique that gives us information about the number and types of atoms in a molecule, for example, about the number and types of
hydrogen atoms using 1H-NMR spectroscopy
carbon atoms using 13C-NMR spectroscopy
phosphorus atoms using 31P-NMR spectroscopy
4. Nuclear Spin States An electron has a spin quantum number of 1/2 with allowed values of +1/2 and -1/2
this spinning charge creates an associated magnetic field
in effect, an electron behaves as if it is a tiny bar magnet and has what is called a magnetic moment
The same effect holds for certain atomic nuclei
any atomic nucleus that has an odd mass number, an odd atomic number, or both also has a spin and a resulting nuclear magnetic moment
the allowed nuclear spin states are determined by the spin quantum number, I, of the nucleus
5. Nuclear Spin States a nucleus with spin quantum number I has 2I + 1 spin states; if I = 1/2, there are two allowed spin states
Table 13.1 gives the spin quantum numbers and allowed nuclear spin states for selected isotopes of elements common to organic compounds
6. Nuclear Spins in B0 within a collection of 1H and 13C atoms, nuclear spins are completely random in orientation
when placed in a strong external magnetic field of strength B0, however, interaction between nuclear spins and the applied magnetic field is quantized, with the result that only certain orientations of nuclear magnetic moments are allowed
7. Nuclear Spins in B0 for 1H and 13C, only two orientations are allowed
8. Nuclear Spins in B0 In an applied field strength of 7.05T, which is readily available with present-day superconducting electromagnets, the difference in energy between nuclear spin states for
1H is approximately 0.120 J (0.0286 cal)/mol, which corresponds to electromagnetic radiation of 300 MHz (300,000,000 Hz)
13C is approximately 0.030 J (0.00715 cal)/mol, which corresponds to electromagnetic radiation of 75MHz (75,000,000 Hz)
9. Nuclear Spin in B0 the energy difference between allowed spin states increases linearly with applied field strength
values shown here are for 1H nuclei
10. Nuclear Magnetic Resonance when nuclei with a spin quantum number of 1/2 are placed in an applied field, a small majority of nuclear spins are aligned with the applied field in the lower energy state
the nucleus begins to precess and traces out a cone-shaped surface, in much the same way a spinning top or gyroscope traces out a cone-shaped surface as it precesses in the earth’s gravitational field
we express the rate of precession as a frequency in hertz
11. Nuclear Magnetic Resonance If the precessing nucleus is irradiated with electromagnetic radiation of the same frequency as the rate of precession,
the two frequencies couple,
energy is absorbed, and
the nuclear spin is flipped from spin state +1/2 (with the applied field) to -1/2 (against the applied field)
12. Nuclear Magnetic Resonance Figure 13.3 the origin of nuclear magnetic “resonance
13. Nuclear Magnetic Resonance Resonance: in NMR spectroscopy, resonance is the absorption of electromagnetic radiation by a precessing nucleus and the resulting “flip” of its nuclear spin from a lower energy state to a higher energy state
The instrument used to detect this coupling of precession frequency and electromagnetic radiation records it as a signal
signal: a recording in an NMR spectrum of a nuclear magnetic resonance
14. Nuclear Magnetic Resonance if we were dealing with 1H nuclei isolated from all other atoms and electrons, any combination of applied field and radiation that produces a signal for one 1H would produce a signal for all 1H. The same is true of 13C nuclei
but hydrogens in organic molecules are not isolated from all other atoms; they are surrounded by electrons, which are caused to circulate by the presence of the applied field
the circulation of electrons around a nucleus in an applied field is called diamagnetic current and the nuclear shielding resulting from it is called diamagnetic shielding
15. Nuclear Magnetic Resonance the difference in resonance frequencies among the various hydrogen nuclei within a molecule due to shielding/deshielding is generally very small
the difference in resonance frequencies for hydrogens in CH3Cl compared to CH3F under an applied field of 7.05T is only 360 Hz, which is 1.2 parts per million (ppm) compared with the irradiating frequency
16. Nuclear Magnetic Resonance signals are measured relative to the signal of the reference compound tetramethylsilane (TMS)
for a 1H-NMR spectrum, signals are reported by their shift from the 12 H signal in TMS
for a 13C-NMR spectrum, signals are reported by their shift from the 4 C signal in TMS
Chemical shift (?): the shift in ppm of an NMR signal from the signal of TMS
17. NMR Spectrometer
18. NMR Spectrometer Essentials of an NMR spectrometer are a powerful magnet, a radio-frequency generator, and a radio-frequency detector
The sample is dissolved in a solvent, most commonly CDCl3 or D2O, and placed in a sample tube which is then suspended in the magnetic field and set spinning
Using a Fourier transform NMR (FT-NMR) spectrometer, a spectrum can be recorded in about 2 seconds
19. NMR Spectrum 1H-NMR spectrum of methyl acetate
Downfield: the shift of an NMR signal to the left on the chart paper
Upfield: the shift of an NMR signal to the right on the chart paper
20. Equivalent Hydrogens Equivalent hydrogens: have the same chemical environment
a molecule with 1 set of equivalent hydrogens gives 1 NMR signal
21. Equivalent Hydrogens a molecule with 2 or more sets of equivalent hydrogens gives a different NMR signal for each set
22. Signal Areas Relative areas of signals are proportional to the number of H giving rise to each signal
Modern NMR spectrometers electronically integrate and record the relative area of each signal
24. Chemical Shift - 1H-NMR
25. Chemical Shift Depends on (1) electronegativity of nearby atoms, (2) the hybridization of adjacent atoms, and (3) diamagnetic effects from adjacent pi bonds
Electronegativity
26. Chemical Shift Hybridization of adjacent atoms
27. Chemical Shift Diamagnetic effects of pi bonds
a carbon-carbon triple bond shields an acetylenic hydrogen and shifts its signal upfield (to the right) to a smaller ? value
a carbon-carbon double bond deshields vinylic hydrogens and shifts their signal downfield (to the left) to a larger ? value
28. Chemical Shift magnetic induction in the pi bonds of a carbon-carbon triple bond (Fig 13.9)
29. Chemical Shift magnetic induction in the pi bond of a carbon-carbon double bond (Fig 13.10)
30. Chemical Shift magnetic induction of the pi electrons in an aromatic ring (Fig. 13.11)
31. Signal Splitting; the (n + 1) Rule Peak: the units into which an NMR signal is split; doublet, triplet, quartet, etc.
Signal splitting: splitting of an NMR signal into a set of peaks by the influence of neighboring nonequivalent hydrogens
(n + 1) rule: if a hydrogen has n hydrogens nonequivalent to it but equivalent among themselves on the same or adjacent atom(s), its 1H-NMR signal is split into (n + 1) peaks
32. Signal Splitting (n + 1) 1H-NMR spectrum of 1,1-dichloroethane
33. Signal Splitting (n + 1) Problem: predict the number of 1H-NMR signals and the splitting pattern of each
34. Origins of Signal Splitting Signal coupling: an interaction in which the nuclear spins of adjacent atoms influence each other and lead to the splitting of NMR signals
Coupling constant (J): the separation on an NMR spectrum (in hertz) between adjacent peaks in a multiplet;
a quantitative measure of the influence of the spin-spin coupling with adjacent nuclei
35. Origins of Signal Splitting
36. Origins of Signal Splitting because splitting patterns from spectra taken at 300 MHz and higher are often difficult to see, it is common to retrace certain signals in expanded form
1H-NMR spectrum of 3-pentanone; scale expansion shows the triplet quartet pattern more clearly
37. Coupling Constants Coupling constant (J): the distance between peaks in a split signal, expressed in hertz
the value is a quantitative measure of the magnetic interaction of nuclei whose spins are coupled
38. Origins of Signal Splitting
39. Signal Splitting Pascal’s Triangle
as illustrated by the highlighted entries, each entry is the sum of the values immediately above it to the left and the right
40. Physical Basis for (n + 1) Rule Coupling of nuclear spins is mediated through intervening bonds
H atoms with more than three bonds between them generally do not exhibit noticeable coupling
for H atoms three bonds apart, the coupling is referred to as vicinal coupling
41. Coupling Constants an important factor in vicinal coupling is the angle a between the C-H sigma bonds and whether or not it is fixed
coupling is a maximum when a is 0° and 180°; it is a minimum when a is 90°
42. More Complex Splitting Patterns thus far, we have concentrated on spin-spin coupling with only one other nonequivalent set of H atoms
more complex splittings arise when a set of H atoms couples to more than one set H atoms
a tree diagram shows that when Hb is adjacent to nonequivalent Ha on one side and Hc on the other, the resulting coupling gives rise to a doublet of doublets
43. More Complex Splitting Patterns if Hc is a set of two equivalent H, then the observed splitting is a doublet of triplets
44. More Complex Splitting Patterns because the angle between C-H bond determines the extent of coupling, bond rotation is a key parameter
in molecules with relatively free rotation about C-C sigma bonds, H atoms bonded to the same carbon in CH3 and CH2 groups generally are equivalent
if there is restricted rotation, as in alkenes and cyclic structures, H atoms bonded to the same carbon may not be equivalent
nonequivalent H on the same carbon will couple and cause signal splitting
this type of coupling is called geminal coupling
45. More Complex Splitting Patterns in ethyl propenoate, an unsymmetrical terminal alkene, the three vinylic hydrogens are nonequivalent
46. More Complex Splitting Patterns a tree diagram for the complex coupling of the three vinylic hydrogens in ethyl propenoate
47. More Complex Splitting Patterns cyclic structures often have restricted rotation about their C-C bonds and have constrained conformations
as a result, two H atoms on a CH2 group can be nonequivalent, leading to complex splitting
48. More Complex Splitting Patterns a tree diagram for the complex coupling in 2-methyl-2-vinyloxirane
49. More Complex Splitting Patterns Complex coupling in flexible molecules
coupling in molecules with unrestricted bond rotation often gives only m + n + I peaks
that is, the number of peaks for a signal is the number of adjacent hydrogens + 1, no matter how many different sets of equivalent H atoms that represents
the explanation is that bond rotation averages the coupling constants throughout molecules with freely rotation bonds and tends to make them similar; for example in the 6- to 8-Hz range for H atoms on freely rotating sp3 hybridized C atoms
50. More Complex Splitting Patterns simplification of signal splitting occurs when coupling constants are the same
51. More Complex Splitting Patterns an example of peak overlap occurs in the spectrum of 1-chloro-3-iodopropane
the central CH2 has the possibility for 9 peaks (a triplet of triplets) but because Jab and Jbc are so similar, only 4 + 1 = 5 peaks are distinguishable
52. Stereochemistry & Topicity Depending on the symmetry of a molecule, otherwise equivalent hydrogens may be
homotopic
enantiotopic
diastereotopic
The simplest way to visualize topicity is to substitute an atom or group by an isotope; is the resulting compound
the same as its mirror image
different from its mirror image
are diastereomers possible
53. Stereochemistry & Topicity Homotopic atoms or groups
homotopic atoms or groups have identical chemical shifts under all conditions
54. Stereochemistry & Topicity Enantiotopic groups
enantiotopic atoms or groups have identical chemical shifts in achiral environments
they have different chemical shifts in chiral environments
55. Stereochemistry & Topicity Diastereotopic groups
H atoms on C-3 of 2-butanol are diastereotopic
substitution by deuterium creates a chiral center
because there is already a chiral center in the molecule, diastereomers are now possible
diastereotopic hydrogens have different chemical shifts under all conditions
56. Stereochemistry & Topicity The methyl groups on carbon 3 of 3-methyl-2-butanol are diastereotopic
if a methyl hydrogen of carbon 4 is substituted by deuterium, a new chiral center is created
because there is already one chiral center, diastereomers are now possible
protons of the methyl groups on carbon 3 have different chemical shifts
57. Stereochemistry and Topicity 1H-NMR spectrum of 3-methyl-2-butanol
the methyl groups on carbon 3 are diastereotopic and appear as two doublets
58. 13C-NMR Spectroscopy Each nonequivalent 13C gives a different signal
a 13C signal is split by the 1H bonded to it according to the (n + 1) rule
coupling constants of 100-250 Hz are common, which means that there is often significant overlap between signals, and splitting patterns can be very difficult to determine
The most common mode of operation of a 13C-NMR spectrometer is a hydrogen-decoupled mode
59. 13C-NMR Spectroscopy In a hydrogen-decoupled mode, a sample is irradiated with two different radio frequencies
one to excite all 13C nuclei
a second broad spectrum of frequencies to cause all hydrogens in the molecule to undergo rapid transitions between their nuclear spin states
On the time scale of a 13C-NMR spectrum, each hydrogen is in an average or effectively constant nuclear spin state, with the result that 1H-13C spin-spin interactions are not observed; they are decoupled
60. 13C-NMR Spectroscopy hydrogen-decoupled 13C-NMR spectrum of 1-bromobutane
61. Chemical Shift - 13C-NMR
62. Chemical Shift - 13C-NMR
63. The DEPT Method In the hydrogen-decoupled mode, information on spin-spin coupling between 13C and hydrogens bonded to it is lost
The DEPT method is an instrumental mode that provides a way to acquire this information
Distortionless Enhancement by Polarization Transfer (DEPT): an NMR technique for distinguishing among 13C signals for CH3, CH2, CH, and quaternary carbons
64. The DEPT Method The DEPT methods uses a complex series of pulses in both the 1H and 13C ranges, with the result that CH3, CH2, and CH signals exhibit different phases;
signals for CH3 and CH carbons are recorded as positive signals
signals for CH2 carbons are recorded as negative signals
quaternary carbons give no signal in the DEPT method
65. Isopentyl acetate 13C-NMR: (a) proton decoupled and (b) DEPT
66. Interpreting NMR Spectra Alkanes
1H-NMR signals appear in the range of ? 0.8-1.7
13C-NMR signals appear in the considerably wider range of ? 10-60
Alkenes
1H-NMR signals appear in the range ? 4.6-5.7
1H-NMR coupling constants are generally larger for trans vinylic hydrogens (J= 11-18 Hz) compared with cis vinylic hydrogens (J= 5-10 Hz)
13C-NMR signals for sp2 hybridized carbons appear in the range ? 100-160, which is downfield from the signals of sp3 hybridized carbons
67. Interpreting NMR Spectra 1H-NMR spectrum of vinyl acetate (Fig 13.33)
68. Interpreting NMR Spectra Alcohols
1H-NMR O-H chemical shifts often appears in the range ? 3.0-4.0, but may be as low as ? 0.5.
1H-NMR chemical shifts of hydrogens on the carbon bearing the -OH group are deshielded by the electron-withdrawing inductive effect of the oxygen and appear in the range ? 3.0-4.0
Ethers
a distinctive feature in the 1H-MNR spectra of ethers is the chemical shift, ? 3.3-4.0, of hydrogens on carbon attached to the ether oxygen
69. Interpreting NMR Spectra 1H-NMR spectrum of 1-propanol (Fig. 13.34)
70. Interpreting NMR Spectra Aldehydes and ketones
1H-NMR: aldehyde hydrogens appear at ? 9.5-10.1
1H-NMR: a-hydrogens of aldehydes and ketones appear at ? 2.2-2.6
13C-NMR: carbonyl carbons appear at ? 180-215
Amines
1H-NMR: amine hydrogens appear at ? 0.5-5.0 depending on conditions
71. Interpreting NMR Spectra Carboxylic acids
1H-NMR: carboxyl hydrogens appear at ? 10-13, lower than most any other hydrogens
13C-NMR: carboxyl carbons in acids and esters appear at ? 160-180
72. Interpreting NMR Spectra Spectral Problem 1; molecular formula C5H10O
73. Interpreting NMR Spectra Spectral Problem 2; molecular formula C7H14O
74. Nuclear
Magnetic Resonance
End Chapter 13