Chem 335 - Winter 2000
Organic Chemistry II
Dr. Carl C. Wamser

Chapter 13 - NMR

Properties of Light

• as electromagnetic waves:
  c = l v
  c = speed of light (3 x 10E8 m/sec)
  l = wavelength
  v = frequency (per sec)
  
• as particles (photons):
  E = h v
  h = Planck's constant

The Electromagnetic Spectrum

• x-rays ~ 0.1 - 10 nm
• ultraviolet ~ 10 - 400 nm
• visible ~400 - 800 nm
• infrared ~ 1 - 100 µm
• microwaves ~ 0.01 - 10 cm
• radiowaves ~ 0.1 - 100 m
  (0.1 - 100 MHz - compare AM/FM frequencies)

Absorption Spectroscopy

• spectrum: plot of absorbance as a function of wavelength (or frequency)
• y-axis: absorbance or transmittance
• x-axis: wavelength range
• peaks of absorbance (or valleys of transmission)
  represent specific molecular interactions with the light

Molecular Energy Levels

• energy levels are quantized
• absorption occurs when the energy of the light (per photon) exactly matches the energy difference between an occupied and an unoccupied energy level
• E = E2 - E1 = h v
• absorption spectroscopy reveals the spacings between energy levels in a molecule

Types of Molecular Energy

• nuclear > 500 kcal/mol - gamma rays
• electronic ~ 100 kcal/mol - ultraviolet/visible
• vibrational ~ 1 kcal/mol - infrared
• rotational ~ 1 cal/mol - microwaves
• magnetic* ~ 0.1 cal/mol - radiowaves
  * induced by a strong external magnetic field
  NMR for nuclear magnetic effects
  EPR for electron magnetic effects

Nuclear Spin States

• many nuclei have a magnetic moment (nuclear spin)
• H nucleus (proton) has two possible spin quantum states (up & down)
• C-13 also has two states
• other magnetic nuclei include F-19, P-31, H-2, N-14
• different states are distinguishable with an external magnetic field

Nuclear Magnetic Resonance

• an applied magnetic field makes the two spin states unequal in energy
• a photon can be absorbed (resonance), when
  • the precession frequency matches the photon frequency
  • which happens when the photon energy matches the energy difference
  • thereby promoting a nucleus with the lower energy spin
    to the higher energy spin state
• typical magnetic fields used are large, but cause small energy splitting
• spin populations are very close to 50:50, but resonance can still occur

NMR Instrumentation

• larger magnetic fields require higher frequency radiowaves
  (30, 60, 90, 200, 400, 500 MHz instruments are typical)
• for 21,000 Gauss,
  H-1 nuclei resonate at about 90 MHz
  C-13 nuclei resonate at about 22.6 MHz
• Note - although C-13 is only about 1.1% of all carbon in nature, this is sufficient for most samples to show good spectra

MRI - Magnetic Resonance Imaging

• special technique for spatial visualization of H nuclei in a whole body
• distinct forms of H2O and organic H are visualized

Equivalent Hydrogens

• equivalent hydrogens absorb together
• e.g., only one absorption for methane, ethane, ethylene, benzene
• but two for propane, butane, isobutane

Chemical Shifts

• different environments for individual hydrogens
  cause them to absorb at slightly different resonance positions
• shielded/upfield:
  higher electron density requires a stronger field for resonance
• deshielded/downfield:
  lower electron density requires a weaker field for resonance
  (using a constant radiofrequency)

TMS as a Reference

• the protons (and carbons) of (CH3)4Si are highly shielded
• TMS is set as the reference (zero on the chemical shift delta scale)
• delta (ppm units) = shift from TMS in Hz / radiofrequency in MHz
  
• e.g., Cl-CH2-O-CH3 shows 2 absorptions for H NMR and two for C NMR
• on a 90 MHz NMR, H resonances are at 90,000,300 Hz and at 90,000,480 Hz
  (the instrument is tuned so that TMS absorbs at exactly 90,000,000 Hz)
  • delta = 300 Hz / 90 MHz = 3.3 ppm
  • delta = 480 Hz / 90 MHz = 5.3 ppm
    
• for C NMR, the absorptions are at 22,601,290 Hz and 22,601,910 Hz
  (where TMS is at 22,600,000 Hz)
  • delta = 1290 Hz / 22.6 MHz = 57.1 ppm
  • delta = 1910 Hz / 22.6 MHz = 84.5 ppm
    
• Note that on a higher-field instrument (e.g., 500 MHz),
  the chemical shifts would be the same
  although the absolute differences (in Hz) would be larger
  e.g., the proton resonances would be at
  500,001,650 Hz (3.3 ppm) and
  500,002,650 Hz (5.3 ppm)
• higher fields afford higher resolution:
  • better separation of absorptions
  • resonances typically look sharper at higher fields

Integrated Peak Areas

• indicate relative abundance of each type of hydrogen (or carbon)
• experimentally usually shown as stair-steps
  with the relative heights indicating relative area
• e.g., methyl tert-butyl ether shows two H NMR absorptions,
  with integrated areas in the ratio 1:3,
  representing the 3 methyl Hs and the 9 tert-butyl Hs
• the C NMR shows 3 peaks in relative areas 1:1:3
  (however, instrumental methodology often makes integration of C-13 peaks less reliable than H integrations)
• problem - C4H7Br3 gives only two H NMR peaks, in area ratio 4:3

Chemical Shift Correlations

• different functional groups lead to distinctive chemical shifts
• generally, electron withdrawal leads to deshielding (higher shifts)
• Table 13.5 will be provided for quizzes and exams

Spin-Spin Splitting Patterns

• recognize common splitting patterns
• singlet - a single sharp peak
• doublet - two equal peaks
• triplet - three peaks in the ratio 1:2:1
• quartet - four peaks in the ratio 1:3:3:1

The (n+1) Rule

• in general, when there are n neighboring Hs, the absorption will be split to (n+1) lines
• e.g., CH3-CHCl2
  two H NMR absorptions at 2.5 ppm and 5.9 ppm (area ratio 3:1)
• the peak at 2.5 ppm due to the methyl group is a doublet
  (the chemical shift of 2.5 ppm is measured at the middle of the doublet)
• the methyl Hs either feel a shielding or a deshielding effect from their neighbor (C-H),
  depending on whether its spin is aligned with or against the applied magnetic field
• the neighboring C-H is half the time aligned with the magnetic field
  and half the time aligned against the magnetic field,
  so the methyl peak is split to two equal peaks
• the CH peak is split to a quartet by its 3 neighboring methyl Hs
• statistically, the 3 Hs can be aligned in four different ways
  (all with, all against, 2 with + 1 against, or 2 against + 1 with),
  with the latter two possibilities more likely

Coupling Constant, J (Hz)

• the separation of the lines of a multiplet is J, the coupling constant, measured in Hz
• all peaks in a multiplet are separated by the same amount, J
• all peaks in the spin-coupled multiplet are separated by the same amount, J
• coupling is strong for nearest neighbors H-C-C-H,
  and small for more distant neighbors
• equivalent Hs don't split one another
  (i.e., ethane is a singlet, not 2 quartets)
• the value of J (e.g., about 7 Hz for simple alkyl groups)
  is the same regardless of the field strength of the instrument
• low-field instruments often give overlapping multiplets,
  which is less of a problem in high-field instruments

C-13 NMR Spectra

• in principle, similar to H-1 NMR (two spin states)
• proton coupling indicates Hs on the same C
  but spectra are often done with proton decoupling (simpler)
• chemical shifts :
  • sp3 carbons 0 - 100 ppm
  • sp2 carbons 100 - 200 ppm
  • C=O carbons 170 - 210 ppm
• Table 13.10 will be provided for quizzes and exams

Interpretation of NMR Spectra - Solving Puzzles

1. How many absorptions are there?
   indicates number of equivalent kinds of Hs
2. What are their intensities?
   indicates number of Hs of each type
3. What are their chemical shifts?
   indicates the environment of each type of H
4. What is the splitting pattern?
   indicates neighboring Hs

• Create fragments with increasing detail
• Confirm interrelationships
• Correlate with any other information available