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NUCLEAR MAGNETIC RESONANCE
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WHAT IS SPECTROSCOPY ? The study of molecular structure and dynamics through the absorption, emission, and scattering of light.
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THE ELECTROMAGNETIC SPECTRUM
high Frequency (n) low high Energy low MICRO- WAVE X-RAY ULTRAVIOLET INFRARED RADIO FREQUENCY Nuclear magnetic resonance Vibrational infrared Ultraviolet Visible 2.5 mm 15 mm 1 m 5 m 200 nm 400 nm 800 nm BLUE RED short Wavelength (l) long
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SPECTROSCOPIC TECHNIQUES AND THEIR USES IN ORGANIC CHEMISTRY
Radiation Absorbed Effect on the Molecule Information Deduced Ultraviolet-visible , nm and Changes in electronic energy levels within the molecule Extent of -electron systems. Presence of conjugated unsaturation, and conjugation with nonbonding electrons Infra-red (mid infra-red) , mm , cm-1 Changes in the vibrational and rotational movements of the molecule Detection of functional groups, which have specific vibration frequenciesfor example, C=O, NH2, OH, etc. Microwave Electron spin resonance or electron paramagnetic resonance; induces changes in the magnetic properties of unpaired electrons Detection of free radicals and the interaction of the electron with, for example, nearby protons
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SPECTROSCOPIC TECHNIQUES IN ORGANIC CHEMISTRY AND THEIR USES
Radiation Absorbed Effect on the Molecule Information Deduced NMR Radio frequency , 1-5m Nuclei placed under the static magnetic field change their spins after absorption of radiofrequency radiations The electronic environment of nuclei, their numbers and number of neighboring atoms.
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Radio waves Longest wavelength EM waves Uses: TV broadcasting
AM and FM broadcast radio Heart rate monitors Cell phone communication MRI (MAGNETIC RESONACE IMAGING) Uses Short wave radio waves with a magnet to create an image Click the little rainbow box in the top right corner to return to the overview EM spectrum diagram
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ALL SPECTROMETERS HAVE SOME COMMON ESSENTIAL FEATURES
A source of electromagnetic radiations of the appropriate frequency range. A sample holder to permit efficient irradiation of the sample. A frequency analyzer which separates out all of the individual frequencies generated by the source. A detector for measuring the intensity of radiations at each frequency, allowing the measurement of how much energy has been absorbed at each of these frequencies by the sample; and A recorder – either a pen recorder or computerized data station, with a VDU for initial viewing of the spectrum, with the possibility of manipulation.
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NMR NUCLEAR- MAGNETIC- RESONANCE- Study of nuclear spins
Under the influence of applied magnetic field Record the resulting resonance in nuclear spin through the absorption of RF
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COMPARISON BETWEEN THE PRINCIPAL SPECTROSCOPIC METHODS: GOOD FEATURES
13C-NMR 1H-NMR IR MS UV/VIS Identification of functional groups ** *** * Measurement of molecular complexity Sensitivity (sample size needed) Quantitative information Interpretability of the data Theory needed to interpret spectra Ease of instrument operation Instrument cost, running cost Method Feature *** = Good ** = Average * = Poor
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CHARACTERISTICS OF PRINCIPAL SPECTROMETRIC METHODS
1H-NMR 13C-NMR MS IR Scale 0-15 ppm 1-220 ppm amu cm-1 Sample 1 mg 5-10 mg < 1 mg Molecular formula Partial Yes No Functional group ~ yes Limited Substructure yes Very limited C-Connection Stereochem. & regiostereo-chemistry
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NMR NUCLEAR- MAGNETIC- RESONANCE- Study of nuclear spins
Under the influence of applied magnetic field Record the resulting resonance in nuclear spin through the absorption of RF
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NUCLEAR SPIN The nuclei of some atoms have a property called “SPIN”.
These nuclei behave as if they were spinning. ….. we don’t know if they actually do spin! This is like the spin property of an electron, which can have two spins: +1/2 and -1/2 . Each spin-active nucleus has a number of spins defined by its spin quantum number, I. The spin quantum numbers of some common nuclei follow …..
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Spin Quantum Numbers of Some Common Nuclei
The most abundant isotopes of C and O do not have spin. Element 1H 2H 12C 13C 14N 16O 17O 19F Nuclear Spin Quantum No 1/ / /2 1/2 ( I ) No. of Spin States Elements with either odd mass or odd atomic number have the property of nuclear “spin”. The number of spin states is 2I + 1, where I is the spin quantum number.
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THE PROTON Although interest is increasing in other nuclei,
particulary C-13, the hydrogen nucleus (proton) is studied most frequently, and we will devote our attention to it first.
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NUCLEAR SPIN STATES - HYDROGEN NUCLEUS
The spin of the positively charged nucleus generates a magnetic moment vector, m. m + + The two states are equivalent in energy in the absence of a magnetic or an electric field. m + 1/2 - 1/2 TWO SPIN STATES
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Precession of Spinning Top
A rapidly spinning top will precess in a direction determined by the torque exerted by its weight. The precession angular velocity is inversely proportional to the spin angular velocity, so that the precession is faster and more pronounced as the top slows down. The direction of the precession torque can be visualized with the help of the right-hand rule. Spin a top on a flat surface, and you will see it's top end slowly revolve about the vertical direction, a process called precession. As the spin of the top slows, you will see this precession get faster and faster. It then begins to bob up and down as it precesses, and finally falls over. Showing that the precession speed gets faster as the spin speed gets slower is a classic problem in mechanics.
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Gyromagnetic ratio In physics, the gyromagnetic ratio or magnetogyric ratio of a particle or system is the ratio of its magnetic dipole moment to its angular momentum, and it is often denoted by the symbol γ, gamma. Its SI units are radian per second per tesla (rad s−1·T -1) or, equivalently, coulomb per kilogram (C·kg−1).
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Gyromagnetic ratio for a classical rotating body
Consider a charged body rotating about an axis of symmetry. According to the laws of classical physics, it has both a magnetic dipole moment and an angular momentum due to its rotation. It can be shown that as long as its charge and mass are distributed identically (e.g., both distributed uniformly), its gyromagnetic ratio is γ q 2m \where q is its charge and m is its mass.
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Gyromagnetic ratio and Larmor precession
Any free system with a constant gyromagnetic ratio, such as a rigid system of charges, a nucleus, or an electron, when placed in an external magnetic field B (measured in teslas) that is not aligned with its magnetic moment, will precess at a frequency (measured in hertz), that is proportional to the external field: =γ
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THE “RESONANCE” PHENOMENON
absorption of energy by the spinning nucleus
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Nuclear Spin Energy Levels
-1/2 unaligned In a strong magnetic field (Bo) the two spin states differ in energy. +1/2 aligned Bo S
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Absorption of Energy Bo quantized -1/2 -1/2 DE DE = hn +1/2 +1/2
Opposed -1/2 -1/2 DE DE = hn Radiofrequency +1/2 +1/2 Applied Field Bo Aligned
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THE ENERGY SEPARATION DEPENDS ON Bo
- 1/2 = kBo = hn DE degenerate at Bo = 0 + 1/2 Bo increasing magnetic field strength
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The Larmor Equation!!! n = n = Bo 2p
DE = kBo = hn can be transformed into gyromagnetic ratio g g n = 2p gB0 n = 2p frequency of the incoming radiation that will cause a transition Bo strength of the magnetic field g is a constant which is different for each atomic nucleus (H, C, N, etc)
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A SECOND EFFECT OF A STRONG MAGNETIC FIELD
WHEN A SPIN-ACTIVE HYDROGEN ATOM IS PLACED IN A STRONG MAGNETIC FIELD ….. IT BEGINS TO PRECESS OPERATION OF AN NMR SPECTROMETER DEPENDS ON THIS RESULT
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w N Nuclei precess at frequency w when placed in a strong
magnetic field. RADIOFREQUENCY MHz hn NUCLEAR MAGNETIC RESONANCE If n = w then energy will be absorbed and the spin will invert. NMR S
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Effect of Static Magnetic Bo Field on Magnetic Moment
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Resonance Frequencies of Selected Nuclei
Isotope Abundance Bo (Tesla) Frequency g10-6(radians/Tesla/sec) (MHz) 1H 99.98% 2H % 13C % 19F 100.0% 4:1
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POPULATION AND SIGNAL STRENGTH
The strength of the NMR signal depends on the Population Difference of the two spin states Radiation induces both upward and downward transitions. induced emission resonance For a net positive signal there must be an excess of spins in the lower state. excess population Saturation = equal populations = no signal
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Fortunately, different types of protons precess at
different rates in the same magnetic field. N Bo = 1.41 Tesla EXAMPLE: MHz MHz hn To cause absorption of the incoming 60 MHz the magnetic field strength, Bo , must be increased to a different value for each type of proton. MHz 60 MHz S Differences are very small, in the parts per million range.
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NMR Spectrum of Phenylacetone
NOTICE THAT EACH DIFFERENT TYPE OF PROTON COMES AT A DIFFERENT PLACE - YOU CAN TELL HOW MANY DIFFERENT TYPES OF HYDROGEN THERE ARE
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DIAMAGNETIC ANISOTROPY
SHIELDING BY VALENCE ELECTRONS
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Diamagnetic Anisotropy
The applied field induces circulation of the valence electrons - this generates a magnetic field that opposes the applied field. valence electrons shield the nucleus from the full effect of the applied field magnetic field lines B induced (opposes Bo) Bo applied fields subtract at nucleus
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PROTONS DIFFER IN THEIR SHIELDING
All different types of protons in a molecule have a different amounts of shielding. They all respond differently to the applied magnetic field and appear at different places in the spectrum. This is why an NMR spectrum contains useful information (different types of protons appear in predictable places). UPFIELD DOWNFIELD Highly shielded protons appear here. Less shielded protons appear here. SPECTRUM It takes a higher field to cause resonance.
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CHEMICAL SHIFT
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PEAKS ARE MEASURED RELATIVE TO TMS
Rather than measure the exact resonance position of a peak, we measure how far downfield it is shifted from TMS. reference compound tetramethylsilane “TMS” Highly shielded protons appear way upfield. TMS Chemists originally thought no other compound would come at a higher field than TMS. shift in Hz downfield n
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REMEMBER FROM OUR EARLIER DISCUSSION
Stronger magnetic fields (Bo) cause the instrument to operate at higher frequencies (ν). field strength frequency γ 2π hν = Bo NMR Field Strength 1H Operating Frequency constants 1.41 T 60 Mhz 2.35 T 100 MHz ν = ( K) Bo 7.05 T 300 MHz
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HIGHER FREQUENCIES GIVE LARGER SHIFTS
The shift observed for a given proton in Hz also depends on the frequency of the instrument used. Higher frequencies = larger shifts in Hz. TMS shift in Hz downfield n
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THE CHEMICAL SHIFT The shifts from TMS in Hz are bigger in higher field instruments (300 MHz, 500 MHz) than they are in the lower field instruments (100 MHz, 60 MHz). We can adjust the shift to a field-independent value, the “chemical shift” in the following way: parts per million shift in Hz chemical shift = δ = = ppm spectrometer frequency in MHz This division gives a number independent of the instrument used. A particular proton in a given molecule will always come at the same chemical shift (constant value).
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HERZ EQUIVALENCE OF 1 PPM
What does a ppm represent? 1 part per million of n MHz is n Hz 1H Operating Frequency Hz Equivalent of 1 ppm 1 n MHz = n Hz ( ) 60 Mhz Hz 106 100 MHz Hz 300 MHz Hz 7 6 5 4 3 2 1 ppm Each ppm unit represents either a 1 ppm change in Bo (magnetic field strength, Tesla) or a 1 ppm change in the precessional frequency (MHz).
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NMR Correlation Chart d (ppm)
-OH -NH DOWNFIELD UPFIELD DESHIELDED SHIELDED CHCl3 , TMS d (ppm) 12 11 10 9 8 7 6 5 4 3 2 1 H CH2F CH2Cl CH2Br CH2I CH2O CH2NO2 CH2Ar CH2NR2 CH2S C C-H C=C-CH2 CH2-C- C-CH-C RCOOH RCHO C=C C C-CH2-C C-CH3 O Ranges can be defined for different general types of protons. This chart is general, the next slide is more definite.
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R-CH3 0.7 - 1.3 R-N-C-H 2.2 - 2.9 R-C=C-H R-CH2-R 1.2 - 1.4 4.5 - 6.5
APPROXIMATE CHEMICAL SHIFT RANGES (ppm) FOR SELECTED TYPES OF PROTONS R-CH R-N-C-H R-C=C-H R-CH2-R R-S-C-H R3CH I-C-H H R-C=C-C-H Br-C-H O Cl-C-H R-C-C-H O O RO-C-H R-C-N-H RO-C-C-H HO-C-H O O O R-C-H HO-C-C-H R-C-O-C-H O N C-C-H O2N-C-H R-C-O-H R-C C-C-H F-C-H C-H R-N-H Ar-N-H R-S-H R-O-H Ar-O-H R-C C-H
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YOU DO NOT NEED TO MEMORIZE THE PREVIOUS CHART
IT IS USUALLY SUFFICIENT TO KNOW WHAT TYPES OF HYDROGENS COME IN SELECTED AREAS OF THE NMR CHART C-H where C is attached to an electronega-tive atom CH on C next to pi bonds acid COOH aldehyde CHO benzene CH alkene =C-H aliphatic C-H X=C-C-H X-C-H 12 10 9 7 6 4 3 2 MOST SPECTRA CAN BE INTERPRETED WITH A KNOWLEDGE OF WHAT IS SHOWN HERE
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DESHIELDING AND ANISOTROPY
Three major factors account for the resonance positions (on the ppm scale) of most protons. 1. Deshielding by electronegative elements. 2. Anisotropic fields usually due to pi-bonded electrons in the molecule. 3. Deshielding due to hydrogen bonding. We will discuss these factors in the sections that follow.
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DESHIELDING BY ELECTRONEGATIVE ELEMENTS
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Cl C H d- d+ DESHIELDING BY AN ELECTRONEGATIVE ELEMENT d- d+
Chlorine “deshields” the proton, that is, it takes valence electron density away from carbon, which in turn takes more density from hydrogen deshielding the proton. Cl C H d- d+ electronegative element NMR CHART “deshielded“ protons appear at low field highly shielded protons appear at high field deshielding moves proton resonance to lower field
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Electronegativity Dependence of Chemical Shift
Dependence of the Chemical Shift of CH3X on the Element X Compound CH3X CH3F CH3OH CH3Cl CH3Br CH3I CH4 (CH3)4Si Element X F O Cl Br I H Si Electronegativity of X Chemical shift d most deshielded TMS deshielding increases with the electronegativity of atom X
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Substitution Effects on Chemical Shift
most deshielded The effect increases with greater numbers of electronegative atoms. CHCl3 CH2Cl2 CH3Cl ppm most deshielded -CH2-Br CH2-CH2Br -CH2-CH2CH2Br ppm The effect decreases with incresing distance.
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ANISOTROPIC FIELDS DUE TO THE PRESENCE OF PI BONDS
The presence of a nearby pi bond or pi system greatly affects the chemical shift. Benzene rings have the greatest effect.
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fields add together
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H H C=C H H ANISOTROPIC FIELD IN AN ALKENE Bo protons are deshielded
shifted downfield fields add C=C H H secondary magnetic (anisotropic) field lines Bo
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H C C H ANISOTROPIC FIELD FOR AN ALKYNE Bo secondary magnetic
Shielded Bo hydrogens are shielded fields subtract
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HYDROGEN BONDING
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HYDROGEN BONDING DESHIELDS PROTONS
The chemical shift depends on how much hydrogen bonding is taking place. Alcohols vary in chemical shift from 0.5 ppm (free OH) to about 5.0 ppm (lots of H bonding). Hydrogen bonding lengthens the O-H bond and reduces the valence electron density around the proton - it is deshielded and shifted downfield in the NMR spectrum.
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SOME MORE EXTREME EXAMPLES
Carboxylic acids have strong hydrogen bonding - they form dimers. With carboxylic acids the O-H absorptions are found between 10 and 12 ppm very far downfield. In methyl salicylate, which has strong internal hydrogen bonding, the NMR absortion for O-H is at about 14 ppm, way, way downfield. Notice that a 6-membered ring is formed.
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INTEGRATION
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NMR Spectrum of Phenylacetone
RECALL Each different type of proton comes at a different place . You can tell how many different types of hydrogen there are in the molecule. from last time
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INTEGRATION OF A PEAK Integration = determination of the area
Not only does each different type of hydrogen give a distinct peak in the NMR spectrum, but we can also tell the relative numbers of each type of hydrogen by a process called integration. Integration = determination of the area under a peak The area under a peak is proportional to the number of hydrogens that generate the peak.
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Benzyl Acetate 55 : 22 : 33 = 5 : 2 : 3 METHOD 1 integral line
The integral line rises an amount proportional to the number of H in each peak METHOD 1 integral line integral line 55 : 22 : = : 2 : 3 simplest ratio of the heights
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Benzyl Acetate (FT-NMR)
Actually : / 11.3 = 5.14 / 11.3 = 1.90 / 11.3 = 3.00 METHOD 2 assume CH3 / 3 = 11.3 digital integration Integrals are good to about 10% accuracy. Modern instruments report the integral as a number.
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CLASSICAL INSTRUMENTATION
typical before 1960 field is scanned
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A Simplified 60 MHz NMR Spectrometer
hn RF (60 MHz) Oscillator RF Detector absorption signal Recorder Transmitter Receiver MAGNET MAGNET ~ 1.41 Tesla (+/-) a few ppm N S Probe
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IN THE CLASSICAL NMR EXPERIMENT THE INSTRUMENT
SCANS FROM “LOW FIELD” TO “HIGH FIELD” LOW FIELD HIGH FIELD NMR CHART increasing Bo DOWNFIELD UPFIELD scan
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MODERN INSTRUMENTATION
PULSED FOURIER TRANSFORM TECHNOLOGY FT-NMR requires a computer
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PULSED EXCITATION (n1 ..... nn) n2 n1 n3 N S BROADBAND RF PULSE
contains a range of frequencies n3 (n nn) S All types of hydrogen are excited simultaneously with the single RF pulse.
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n1 n2 n3 FREE INDUCTION DECAY ( relaxation )
n1, n2, n3 have different half lifes
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COMPOSITE FID “time domain“ spectrum n1 + n2 + n time
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FOURIER TRANSFORM n1 + n2 + n3 + ......
A mathematical technique that resolves a complex FID signal into the individual frequencies that add together to make it. ( Details not given here. ) converted to DOMAINS ARE MATHEMATICAL TERMS TIME DOMAIN FREQUENCY DOMAIN FID NMR SPECTRUM FT-NMR computer COMPLEX SIGNAL n1 + n2 + n Fourier Transform individual frequencies a mixture of frequencies decaying (with time) converted to a spectrum
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The Composite FID is Transformed into a classical NMR Spectrum :
“frequency domain” spectrum
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COMPARISON OF CW AND FT TECHNIQUES
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CONTINUOUS WAVE (CW) METHOD
THE OLDER, CLASSICAL METHOD The magnetic field is “scanned” from a low field strength to a higher field strength while a constant beam of radiofrequency (continuous wave) is supplied at a fixed frequency (say 100 MHz). Using this method, it requires several minutes to plot an NMR spectrum. SLOW, HIGH NOISE LEVEL
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PULSED FOURIER TRANSFORM (FT) METHOD
FAST LOW NOISE THE NEWER COMPUTER-BASED METHOD Most protons relax (decay) from their excited states very quickly (within a second). The excitation pulse, the data collection (FID), and the computer-driven Fourier Transform (FT) take only a few seconds. The pulse and data collection cycles may be repeated every few seconds. Many repetitions can be performed in a very short time, leading to improved signal …..
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IMPROVED SIGNAL-TO-NOISE RATIO
By adding the signals from many pulses together, the signal strength may be increased above the noise level. signal enhanced signal noise 1st pulse 2nd pulse add many pulses noise is random and cancels out nth pulse etc.
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