2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D NMR Basics. • In actuality, the techniques we have already covered 1H, 13C, and DEPT are 2D (frequency vs. intensity) however, by tradition the intensity component is dropped when discussing dimensionality • In 2-D techniques, many FIDs (proto-NMR spectra) are taken one after another, with some acquisition variable or pulse sequenced varied by small increments • Since each FID is a collection of digitized data points in the first dimension (say 10 points to make a spectrum) if 10 spectra are accumulated with an incremental change in variable, an FT can be performed in the other dimension 1-D FID 1-D spectra, each with an incremental variable change .. .. .. .. .. .. .. . .. .. .. .. ... .. .. .. .. .. ... .. .. .. .. .. .. .. ... .. .. .. .. .. ... .. .. .. .. .. .. ... .. .. .. .. .. .. ... .. .. .. .. .. .. .. ... .. .. .. .. .. ... .. .. .. .. .. .. ... .. .. .. CHEM 430 – NMR Spectroscopy FTs can be performed on the vertical data sets 2 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D NMR Basics. • The first perturbation of the system (pulse) is called the preparation of the spin system. • The effects of this pulse are allowed to coalesce; this is known as the evolution time, t1 (NOT T1 – the relaxation time) • During this time, a mixing event, in which information from one part of the spin system is relayed to other parts, occurs • Finally, an acquisition period (t2) as with all 1-D experiments. Preparation Evolution Mixing t1 CHEM 430 – NMR Spectroscopy Acquisition t2 3 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • H-H COrrelation SpectroscopY (COSY): • The pulse sequence for COSY is as follows: 90x 90x t2 t1 • A 90o pulse in the x-direction is what we used for 1-D 1H NMR • Here, after a variable “mixing” period, a second 90o pulse is performed, followed by acquisition of a spectrum CHEM 430 – NMR Spectroscopy 4 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • Consider a simple spectrum with one resonance (CHCl3): B0 z M y x CHEM 430 – NMR Spectroscopy 5 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • We pulse the sample with our standard 90ox tilting magnetization into y B0 z 90x M y x CHEM 430 – NMR Spectroscopy 6 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • After a short time t the vector begins to evolve around the z-axis B0 z 90x y M x CHEM 430 – NMR Spectroscopy 7 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • This vector now has an x-component and y-component B0 z 90x t1 Mcoswt1 y Msinwt1 M x CHEM 430 – NMR Spectroscopy 8 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • If a 90ox pulse is applied again only the y component is rotated to -z B0 z 90x 90x t1 y Msinwt1 Mcoswt1 x M CHEM 430 – NMR Spectroscopy 9 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • If we now detect in the xy plane, only the x-component remains B0 z 90x 90x t2 t1 Signal: Msinwt1 x y Mx 7.0 CHEM 430 – NMR Spectroscopy 10 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • Repeat the experiment, but let time evolve by a longer increment B0 z 90x y M x CHEM 430 – NMR Spectroscopy 11 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • This vector now has a greater x-component than before B0 z 90x t1 Mcoswt1 Msinwt1 x y M CHEM 430 – NMR Spectroscopy 12 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • If a 90ox pulse is applied again only the y component is rotated to -z B0 z 90x 90x t1 y Msinwt1 Mcoswt1 x M CHEM 430 – NMR Spectroscopy 13 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • Now we will detect a larger x-component than before B0 z 90x 90x t2 t1 Signal: Msinwt1 x y Mx 7.0 CHEM 430 – NMR Spectroscopy 14 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • In the COSY experiment a new ‘spectrum’ is acquired at increments of t1 • If we stack the array of spectra evolving at t1 increments, notice how we now have a new FID of sorts in the orthogonal coordinate! CHEM 430 – NMR Spectroscopy 15 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • If we carry out a Fourier Transform in this other coordinate, we generate a 2D spectrum where the CHCl3 peak shows up at 7.27 on both axes. • The peak is more a sharp cone in shape FT CHEM 430 – NMR Spectroscopy 16 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • Now let’s make this more complex; but what occurs now is a simplification! B0 z M y x CHEM 430 – NMR Spectroscopy 17 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • Let’s pulse a sample with two nuclei that are spin coupled. B0 z 90x M y x CHEM 430 – NMR Spectroscopy 18 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • By T2 relaxation vector begins to diverges as +J/2 and –J/2 B0 z B0 z y y M x M x CHEM 430 – NMR Spectroscopy 19 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • The two nuclei are precessing at different w and decaying at different T1 BUT they share a frequency of oscillation of resultant x-component about the zaxis!!! z z y y M x M x CHEM 430 – NMR Spectroscopy 20 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • So in the 1st dimension, the spectra appear “normal”, but in the second dimension these two nuclei share a oscillation frequency of x-component • If we stack the spectra we see that they show an artifact of related spin at the frequency of their coupling partner • Rather than view the 3-D map, it is customary to interperet the 2-D spectrum as viewing from overhead CHEM 430 – NMR Spectroscopy 21 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING 2D COSY. • Also keep in mind that J values have a sign and the vectors they generate have a – and + component, so in reality: f1 f2 CHEM 430 – NMR Spectroscopy 22 PROTON-PROTON CORRELATION THROUGH J-COUPLING How to use 2D COSY. • Consider the COSY spectrum of butyl propanoate • Remember all resonances share their own variation of x-component in the COSY experiment. • The peaks along the diagonal in the COSY spectrum show this relationship and can be ignored. CHEM 430 – NMR Spectroscopy 23 PROTON-PROTON CORRELATION THROUGH J-COUPLING How to use 2D COSY. • The ‘normal’ 1-D 1H spectrum is placed on the F1 and F2 axes as a reference. • This spectrum is obtained separately! CHEM 430 – NMR Spectroscopy 24 PROTON-PROTON CORRELATION THROUGH J-COUPLING How to use 2D COSY. • To find a pair of coupling partners simply find the cross peak relationships • For example the resonance at d 4.05 we can identify by chemical shift as being adjacent to the sp3 oxygen of the ester. • We find it is coupled to the resonance at d 1.65 CHEM 430 – NMR Spectroscopy 25 PROTON-PROTON CORRELATION THROUGH J-COUPLING How to use 2D COSY. • We now use the d 1.65 resonance to find the next coupling partner • We see it is coupled to the adjacent resonance at d 1.4 • Likewise the d 1.4 resonance is coupled to the resonance at d 0.95 • This resonance only has the d 1.4 as a coupling partner, so the chain ends. CHEM 430 – NMR Spectroscopy 26 PROTON-PROTON CORRELATION THROUGH J-COUPLING How to use 2D COSY. • Likewise we can deduce the ethyl chain attached to C=O as a separate coupled family • The only drawback of the COSY experiment is it cannot ‘see through’ parts of the molecule that have no 1H-1H coupling (2JHH or 3JHH) • These include 4o carbons, C=O, 3o amines, -O-, -S-, etc. CHEM 430 – NMR Spectroscopy 27 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING DQFCOSY. • Double quantum filtered - an extra pulse is added after the second COSY pulse, and phase cycling converts multiple quantum coherences into observable magnetizations. • The resulting 2D spectrum lacks all singlets along the diagonal • The experiment has surplanted the COSY-45 in the text CHEM 430 – NMR Spectroscopy 28 2-D NMR Spectroscopy 6-1 PROTON-PROTON CORRELATION THROUGH J-COUPLING DQFCOSY. • An important feature of the experiment is that double quantum filtration allows both diagonal and cross peaks to be tuned into pure absorption at the same time. • This reduces the size of all diagonal signals and permits cross peaks close to the diagonal to be observed. • The only disadvantage of DQF– COSY is a reduction in sensitivity CHEM 430 – NMR Spectroscopy 29 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION HETCOR. • The 13C-1H COSY (HETeronuclear CORrelation) experiment correlates 13C with directly attached 1H via 1JCH couplings. • Since the frequency domains F1 and F2 are for different nuclei we do not observe diagonal peaks as in 1H-1H COSY • During the evolution time the large 1JCH is used for polarization transfer, so only 13C directly bound to 1H are detected CHEM 430 – NMR Spectroscopy 30 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION HETCOR. • Note how we can now determine that two protons are on the same carbon: CHEM 430 – NMR Spectroscopy 31 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION HETCOR. • The principle disadvantage of HETCOR is total acquisition time. Typically 58 times the length of the corresponding 13C experiment. CHEM 430 – NMR Spectroscopy 32 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION HSQC/HMQC. • One way around the sensitivity problem with HETCOR is to observe the 1H in the 13C-1H system and study 1JHC rather than the non-abundant 13C. • The 2D HSQC (Heteronuclear Single-Quantum Correlation) experiment permits to obtain a 2D heteronuclear chemical shift correlation map between directly-bonded 1H and X-heteronuclei (commonly, 13C and 15N). • One interesting artifact of the HSQC experiment is the ability to create a lowresolution 1-D 13C spectrum from the 2-D data! CHEM 430 – NMR Spectroscopy 33 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION HSQC/HMQC. • The data is interpreted like HETCOR; the 13C spectrum on the F1 axis is acquired separately and actually takes longer than the 2D acquisition! CHEM 430 – NMR Spectroscopy 34 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION HMBC. • The 2D HMBC experiment permits to obtain a 2D heteronuclear chemical shift correlation map between long-range coupled 1H and heteronuclei (commonly, 13C). • It is widely used because it is based on 1H-detection, offering high sensitivity when compared with the 13C-detected. • In addition, long-range proton-carbon coupling constants can be measured from the resulting spectra. CHEM 430 – NMR Spectroscopy 35 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION HMBC. • The power of this technique is it allows us to “see” through a quarternary carbon center! • The drawback is that for small molecules with tight ring or fused-ring systems (like many of the unknowns) everything may be correlated to everything else! CHEM 430 – NMR Spectroscopy 36 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION HMBC. • In this example we see ipsenol and each of the ‘5-C domains’ that make up the molecule. • For example C-4 is within 3JHC of H3, H-3’, H-2, OH, H-5 and H-5’ • C-7 can be seen to be within 3 bonds of 5/5’ through the 4o center at C-6! CHEM 430 – NMR Spectroscopy 37 2-D NMR Spectroscopy 6-P PROBLEMS - 1 CHEM 430 – NMR Spectroscopy 38 2-D NMR Spectroscopy 6-P PROBLEMS - 1 CHEM 430 – NMR Spectroscopy 39 2-D NMR Spectroscopy 6-P PROBLEMS - 1 CHEM 430 – NMR Spectroscopy 40 2-D NMR Spectroscopy 6-P PROBLEMS - 1 CHEM 430 – NMR Spectroscopy 41 2-D NMR Spectroscopy 6-P PROBLEMS - 1 CHEM 430 – NMR Spectroscopy 42 2-D NMR Spectroscopy 6-P PROBLEMS - 2 CHEM 430 – NMR Spectroscopy 43 2-D NMR Spectroscopy 6-P PROBLEMS - 2 CHEM 430 – NMR Spectroscopy 44 2-D NMR Spectroscopy 6-P PROBLEMS - 2 CHEM 430 – NMR Spectroscopy 45 2-D NMR Spectroscopy 6-P PROBLEMS - 2 CHEM 430 – NMR Spectroscopy 46 2-D NMR Spectroscopy 6-P PROBLEMS – 2 - HSQC CHEM 430 – NMR Spectroscopy 47 2-D NMR Spectroscopy 6-P PROBLEMS - 3 CHEM 430 – NMR Spectroscopy 48 2-D NMR Spectroscopy 6-P PROBLEMS - 3 CHEM 430 – NMR Spectroscopy 49 2-D NMR Spectroscopy 6-P PROBLEMS - 3 CHEM 430 – NMR Spectroscopy 50 2-D NMR Spectroscopy 6-P PROBLEMS - 3 CHEM 430 – NMR Spectroscopy 51 2-D NMR Spectroscopy 6-P PROBLEMS - 3 CHEM 430 – NMR Spectroscopy 52 2-D NMR Spectroscopy 6-P PROBLEMS - 4 CHEM 430 – NMR Spectroscopy 53 2-D NMR Spectroscopy 6-P PROBLEMS - 4 CHEM 430 – NMR Spectroscopy 54 2-D NMR Spectroscopy 6-P PROBLEMS - 4 CHEM 430 – NMR Spectroscopy 55 2-D NMR Spectroscopy 6-P PROBLEMS - 4 CHEM 430 – NMR Spectroscopy 56 2-D NMR Spectroscopy 6-P PROBLEMS - 4 CHEM 430 – NMR Spectroscopy 57 2-D NMR Spectroscopy 6-P PROBLEMS - 5 CHEM 430 – NMR Spectroscopy 58 2-D NMR Spectroscopy 6-P PROBLEMS - 5 CHEM 430 – NMR Spectroscopy 59 2-D NMR Spectroscopy 6-P PROBLEMS - 5 CHEM 430 – NMR Spectroscopy 60 2-D NMR Spectroscopy 6-P PROBLEMS - 5 CHEM 430 – NMR Spectroscopy 61 2-D NMR Spectroscopy 6-P PROBLEMS - 5 CHEM 430 – NMR Spectroscopy 62 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION TOCSY. • TOtal Correlation SpectroscopY ( TOCSY). By spin locking the protons during the second COSY pulse, the chemical shifts of all the protons may be brought essentially into equivalence. • The initial pulse and the period occur as usual, but the second pulse locks the magnetization along the y-axis so that all protons have the spin lock frequency. • All coupled spins within a spin system then become closely coupled to each other, and magnetization is transferred from one spin to all the other members, even in the absence of J couplings. CHEM 430 – NMR Spectroscopy 63 PROTON-HETERONUCLEUS CORRELATION NOESY. • The spectrum on the right shows the TOCSY experiment for lysine. • TOCSY has particular advantages for large molecules, including enhanced sensitivity and, if desired, the phasing of both diagonal and cross peaks to the absorption mode. • The process of identifying resonances within specific amino acid or nucleotide residues is considerably simplified by this procedure. Each residue can be expected to exhibit cross peaks among all its protons and none with protons of other residues. CHEM 430 – NMR Spectroscopy 64 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION NOESY. • After the second pulse in COSY the NOE mechanism can modulate the cosine component of the magnetization along the z axis. • The frequency of modulation is the frequency of the magnetization transfer partner from dipolar relaxation • After a suitable fixed period (tm, the mixing period), during which this modulation is optimized, the cosine component may be moved to the xy plane by a third pulse and may be detected along the y axis during a acquisition period. CHEM 430 – NMR Spectroscopy 65 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION NOESY. • Because the frequency of magnetization of some nuclei during moves to another value during t1 and is observed at the new frequency during tm , the 2D representation of this experiment exhibits cross peaks. • When the cross peaks derive from magnetization transfer through dipolar relaxation, the 2D experiment is called NOESY (NOE SpectroscopY). • The duration of the fixed time tm depends on T1 and the rate of NOE buildup. • In the NOESY experiment valuable information can be ascertained about the distance between various protons within a molecule (< 5Å). CHEM 430 – NMR Spectroscopy 66 PROTON-HETERONUCLEUS CORRELATION NOESY. COSY NOESY CHEM 430 – NMR Spectroscopy 67 PROTON-HETERONUCLEUS CORRELATION NOESY. Overlapped COSY and NOESY NOESY in faded color CHEM 430 – NMR Spectroscopy 68 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION NOESY. At least three factors complicate the analysis of NOESY spectra. 1. COSY signals may be present from scalar couplings and may interfere with interpretations intended to be based entirely on interproton distances. 2. In small molecules, the NOE builds up slowly and attains a theoretical maximum of only 50% — Because a single proton may be relaxed by several neighboring protons, the maximum is much less than 50%. 3. In addition to its transfer directly from one proton to an adjacent proton, magnetization may be transferred by spin diffusion. In this mechanism, magnetization is transferred through the NOE from one spin to a nearby 2nd spin and then from the 2nd to a 3rd spin that is close to the 2nd spin, but not necessarily to the first one. These multistep transfers can produce NOESY cross peaks between protons that are not close together. CHEM 430 – NMR Spectroscopy 69 2-D NMR Spectroscopy 6-2 PROTON-HETERONUCLEUS CORRELATION ROESY. • The Rotating frame Overhauser Effect SpectroscopY utlizes spin-locking (like TOCSY) to ameliorate the drawbacks of NOESY for small molecules. • The pulse sequence is as follows –data interpretation is the same as NOESY CHEM 430 – NMR Spectroscopy 70 2-D NMR Spectroscopy EXAMPLES 6-E VGSE: Valine-Glycine-Serine-Glutamic acid. CHEM 430 – NMR Spectroscopy 71 2-D NMR Spectroscopy EXAMPLES 6-E VGSE: Valine-Glycine-Serine-Glutamic acid. CHEM 430 – NMR Spectroscopy 72 2-D NMR Spectroscopy EXAMPLES 6-E VGSE: Valine-Glycine-Serine-Glutamic acid. CHEM 430 – NMR Spectroscopy 73 2-D NMR Spectroscopy EXAMPLES 6-E VGSE: Valine-Glycine-Serine-Glutamic acid. CHEM 430 – NMR Spectroscopy 74 2-D NMR Spectroscopy EXAMPLES 6-E VGSE: Valine-Glycine-Serine-Glutamic acid. CHEM 430 – NMR Spectroscopy 75 2-D NMR Spectroscopy EXAMPLES 6-E VGSE: Valine-Glycine-Serine-Glutamic acid. CHEM 430 – NMR Spectroscopy 76 2-D NMR Spectroscopy EXAMPLES 6-E VGSE: Valine-Glycine-Serine-Glutamic acid. CHEM 430 – NMR Spectroscopy 77