When Nuclei Cannot Give 100% - American Chemical Society

also holds true to coupling between two different nuclei; the1 JC -H coupling constant of 177.6 Hz is seen in both thel H and the13 C spectra (Figure ...
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Chapter 18 When Nuclei Cannot Give 100%

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Chip Nataro, William R. McNamara, and Annalese F. Maddox Department of Chemistry, Lafayette College, Easton, PA 18042

The presence of NMR active nuclei that are not 100% naturally abundant and/or spin ½can complicate NMR spectra. Representative examples are presented and the splitting patterns discussed.

The introduction to the fundamental ideas of NMR spectroscopy typically occurs in the first semester of organic chemistry. Most organic texts briefly describe the technique and then focus on *H NMR, with some mention of C NMR and 2-D techniques such as COSY and HETCOR. The interpretation of *H NMR spectra requires gleaning informationfromsplitting patterns, chemical shifts and peak integration. While chemical shifts and peak integration are relatively straightforward, the concept of splitting patterns typically takes some time to digest. To interpret splitting patterns, the 2nl+l rule (although many texts have simplified that to the n+1 rule which works for *H and C , both of which have I = Vi) (/) is presented for determining the splitting pattern that should be observed for a given proton. Unfortunately, this can lead to the incorrect conclusion that only the protons need to be considered to determine splitting patterns in any given molecule. The possibility of coupling to or coupling between other nuclei is briefly mentioned when C NMR is introduced. C- C coupling is typically not observed because "the probability that any molecule contains more than one C atom is quite small." (/) The possibility of C- H coupling is dismissed "because a C signal can be split not only by the protons to which it is directly attached, but also by protons separatedfromit by two, three or even more bonds, the amount of splitting might be so great as to make the spectrum too complicated to interpret. Thus, the spectrum is measured under conditions, called broadband decoupling, that suppress such splitting." (/) Typically only 13

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© 2007 American Chemical Society

In Modern NMR Spectroscopy in Education; Rovnyak, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2007.

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decoupled spectra, which are represented as C{ H}, are presented, so C-'H coupling in C NMR is not seen. However, C- H coupling can occasionally be seen in H NMR spectra. The H NMR spectrum of CH C1 in CDC1 is shown below (Figure 1). To understand the experimental spectrum, the two extremes should first be considered. If the sample of CH C1 contained only NMR inactive carbon-12 nuclei, the H NMR would be a singlet centered at 5.29 ppm. However, the other extreme would be if the sample only contained NMR active C nuclei, in which case the H NMR spectrum for CH C1 would be a doublet centered at 5.29 ppm. The experimental spectrum is a weighted average of these two extremes and the weighted average is based on the natural abundance of the carbon isotopes. Carbon-12 has a natural abundance of 98.93% while carbon-13 is 1.07% naturally abundant. In a sample of CH C1 , 98.93% of the molecules will have a carbon atom that is not NMR active, therefore the Ή NMR signal will be a singlet. The remaining 1.07% of the molecules will contain an NMR active carbon atom which will give rise to a doublet. The two peaks of the doublet are of equal intensity, so the relative integration of the peaks will be approximately 0.535 to 98.6 to 0.535. The peaks due to the presence of a spin active nucleus that is not 100% abundant are often called satellites. There are many nuclei that have I = Vi and are not 100% abundant, some of the more commonly encountered examples are listed in Table 1. A second reason one might dismiss C-'H coupling is the magnitude of the VC-H coupling constant. In their discussion of coupling constants, most text books suggest that proton-proton coupling constants greater than 20 Hz are rare in *H NMR. The largest coupling constants likely to be encounter are V . H couplings in systems with diastereotopic protons. As seen in Figure la, the coupling constant C^c-\d is 177.6 Hz, which is significantly larger than the 13

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Table 1. NMR properties of some nuclei Spin Natural Abundance Isotope Spin Natural Abundance 1/2 1/2 4.7% 99.985% Si 100% 1 1/2 0.015% 7/2 100% 1 7.4% Co 7.8% 3/2 9/2 92.6% Ge 7.6% 19.6% Se 1/2 3 3/2 80.4% 5/2 15.7% Mo 1/2 1.11% Rh 1/2 100% 14.4% 1 99.6% W 1/2 .95 1/2 1/2 33.8% 100% 5/2 100% 16.8% 1/2 '"Hg 59 73

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In Modern NMR Spectroscopy in Education; Rovnyak, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2007.

248 coupling constant for diastereotopic protons. An additional lesson can be learnedfromthis example. The typical introduction to NMR will teach a student that if two protons are coupled, they will have the same coupling constant. This also holds true to coupling between two different nuclei; the J - H coupling constant of 177.6 Hz is seen in both the H and the C spectra (Figure lb). 1

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l

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0.535

0.535

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5.3 52 5.1 Figure 1. H (a) and C (b) NMR spectra ofCH Cl in CDCl at 400 MHz and 100.6 MHz respectively. J

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The typical introduction to NMR provides one additional opportunity to examine nuclei that are not spin V and/or 100% abundant. One of the most common solvents for NMR is 1 1 CDC1 . Deuterium is NMR active but, unlike H, has a spin of 1. Therefore, based on the equation 2nl + 1, coupling to one deuterium will result in three peaks. This can be seen in the C NMR of CDCI3 (Figure 2). The signal for the carbon is split into three peaks of equal intensity due 79.0 78.0 77.0 76.0 75.0 to presence of the deuterium. For I I I spin V2 nuclei, the intensity of the ^ iô » peaks is based on Pascal's ^ Κ» h* triangle which is built on powers Figure 2. CNMR ofCDCl at 100.6 MHz. of two; the sums of the first four rows are 2°, 2 , 2 and 2 respectively. A doublet is two equal intensity peaks, a triplet is three peaks in a ratio of 1:2:1, a quartet is four peaks in a 1:3:3:1 ratio, etc. For nuclei that are not spin Î4, a different form of Pascal's triangle must be considered. To determine the 2

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In Modern NMR Spectroscopy in Education; Rovnyak, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2007.

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249 Pascal's triangle for nuclei that are not spin Vi the solution to 2nl + 1 when η =1 gives the number that, when raised to any particular power, will give the sum of the corresponding rows. For example, the Pascal's triangle for deuterium (and other spin 1 nuclei) will be based on powers of three. For thefirstfour rows, the sum of the rows will be 3°, 3 , 3 and 3 giving ratios of 1, 1:1:1, 1:2:3:2:1 and 1:3:6:7:6:3:1. To determine which row to use, the value of η is used as the exponent. Again, deuterated solvents provide a wonderful example for observing these patterns. In the C NMR of CD CN (Figure 3), the three 6 deuterium atoms (n = 3 and 1=1) give rise to a seven line pattern for the carbon that the deuterium atoms are bonded to, in a 1:3:6:7:6:3:1 ratio which sums to 3 . Developing the intensity patterns for all the other spin values is beyond the scope of this book. Suffice it to say that if there is coupling to one and only one nucleus of any spin, no matter what the splitting, the peaks will be of equal intensity. Before moving on to spectra involving nuclei other than H and C, it is worth briefly noting that when spectra of these other nuclei are obtained, there are often nearby carbon atoms and protons. 1.0 0.0 I I I I I II While the carbon atoms typically do not CO CM τ- T-O ο complicate the spectra of other nuclei r d d o o d q i (previously discussed), the presence of Figure 3. CNMRofCD CN the protons can be quite troublesome. at 100.6 MHz. Consider the spectra of trimethylphosphine, P(CH ) . The P{ H} spectrum of P(CH ) is a singlet at -61.1 ppm while the *H spectrum contains a doublet at 0.78 ppm (Figure 4). It is very common for someone inexperienced with multinuclear NMR to be confused by the presence of this doublet. This is coupling between the nine equivalent protons of the methyl groups and the phosphorus. The phosphorus-proton coupling will also be seen in the P spectrum of P(CH ) , giving rise to a ten line pattern. In addition, the V .p is 2 Hz in both spectra, indicating that the protons are coupled to the phosphorus. While this can provide useful information, it can also make interpreting spectra difficult, and therefore, when protons are present, decoupled spectra are most often obtained. 1

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In progressing from standard H and C NMR to interpreting spectra of molecules with other NMR active nuclei, a number of factors must be

In Modern NMR Spectroscopy in Education; Rovnyak, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2007.

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CMCMMCMMCMCM

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Figure 4. NMR spectra ofP(CH ) in CDCl : (a) P{ H} at 161.9 MHz, (b) H at 400 MHz and (c) Ρ at 161.9 MHz. 3

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considered. Thefirstfactors to consider are the range of chemical shifts, the magnitude of the coupling constants and the possibility of coupling between different nuclei. An example where all of these considerations must be accounted for is in the P and F spectra of [N(C H ) ][PF ] (Figure 5). The P signal will be split into a seven line pattern by the six equivalent fluorine atoms; the intensity of the peaks based on Pascal's Triangle will be 1:6:15:20:15:6:1 the sum of which is 2 . The P chemical shift for the PF " is -143.8 ppm and the coupling constant (V . ) is 714 Hz. In the F spectrum there is a doublet at -72 ppm. The J . coupling constant of 714 Hz that was observed in the P spectrum is identical in the F NMR. Another factor to consider in interpreting NMR spectra is the natural abundance of the NMR active nuclei. In the previous example, coupling between two spin Vi nuclei (neither of which were carbon or hydrogen) that are 100% abundant was addressed. To begin examining spectra in which one of the nuclei is not 100% abundant, consider the P{ H} spectrum of (l,l'-bis(diisopropylphosphino)ferrocene)platinum dichloride (Figure 6). (2) In this complex, the two phosphorus atoms of the ligand are bound equivalently to the square planar platinum center. If platinum had no NMR active nuclei, the signal in the P NMR would be a singlet. However, Pt is spin !4 and has a natural abundance of 33.8%. Therefore, Pt satellites are observed as a doublet (Vp.p 31

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In Modern NMR Spectroscopy in Education; Rovnyak, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2007.

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When the authors initially prepared the complex in problem 2, they were uncertain of the structure of the complex. (2) To fully elucidate the structure, they prepared the CO labeled complex and obtained the C{'H}, F, P{ H} and '^Rhi'H} NMR spectra at -70 °C. Based on the information provided below, sketch these spectra. For the "C^H} spectrum, only sketch the signal for the labeled (carbonyl) carbon atoms. 13

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In Modern NMR Spectroscopy in Education; Rovnyak, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2007.

Coupling Constants (in Hz) ^C-Rh

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Shown below (Figure 3) is the structure of /rajw-Pt(D) (PMe ) which was prepared by D.L. Packett and W.C. Trogler. (J) Sketch the P{ H} spectrum for this complex. The coupling constants for this complex are as follow: % = 2594 Hz and V . = 20 Hz. 2

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Answers The chemical shifts for the complexes were not reported in the original manuscript. However, the patterns and intensities can all be determined.

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The P{ H} spectrum (Figure 4) is a singlet with platinum satellites. Based on the natural abundance of Pt, 33.8% of the phosphorus atoms are coupled to platinum while 66.2% of the phosphorus is not. 195

(triphos)Pt(PPhO In this complex, there are two different environments for the phosphorus atoms, and therefore two phosphorus signals (triphos - Figure 5 and PPh Figure 6). The phosphorus atoms of the triphos ligand are equivalent so the signal is a doublet, due to coupling to the PPh phosphorus, with platinum satellites. The satellites also display coupling to the PPh phosphorus, so the satellites appear as doublets. The PPh signal is a quartet, due to coupling to the three equivalent triphos phosphorus atoms, with platinum 3

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In Modern NMR Spectroscopy in Education; Rovnyak, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2007.

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Figure 4. Simulated Ρ f H} spectrum of (triphos)PtCO.

satellites. In the case of the PPh signal, the satellites also exist as quartets due to coupling to the three equivalent phosphorus atoms of the triphos ligand. In each spectrum, the satellites account for 33.8% of the signal while 66.2% of the signal is accounted for in the central doublet or quartet. 3

ftriphos)Pt(PF ) 2

The signal for the triphos ligand is an overlapping doublet of quartets with platinum satellites (Figure 7). Coupling of the triphos phosphorus atoms to the phosphorus of the PF group, splits the signal into a doublet. Each peak of the doublet is then split into a quartet by the three fluorine atoms. The Vp.p is approximately twice as large as the J . which results in the direct overlap of two peaks. This give the appearance of a sextet, however the intensities of the peaks are not in the 1:5:10:10:5:1 ratio expected for a sextet. The same pattern is seen for the platinum satellites. As seen for the other complexes in this series, the central set of peaks account for 66.2% of the signal and the satellites account for the remaining 33.8%. 3

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The signal for the phosphorus of the PF group is a quartet of quartets with platinum satellites (Figure 8). In this case, the J . is much larger than the 3

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Ρ of Triphos 33.1 33.1

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Figure 5. Simulated P{ H} spectrum of the tiphos phosphorus in (triphos)Pt(PPh ). 3

In Modern NMR Spectroscopy in Education; Rovnyak, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2007.

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Jp. , so there are no overlapping peaks. The larger quartet of quartets accounts for approximately 66.2% of the signal. P

The ^F^H} spectrum is a doublet of quartets with platinum satellites (Figure 9). The two large quartets account for 66.2% of the signal while the smaller quartets make up the remaining 33.8%. 2.

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The P{*H} spectrum of this rhodium complex is an overlapping doublet of quartets (Figure 10). In this case, none of the peaks directly overlap. The signal is split into a 1:1 doublet, each peak of which is then split into a 1:3:3:1 quartet. The ^Ff'H} spectrum is a doublet due to coupling to the phosphorus (Figure 11a). There is no resolved coupling to the Rh, but the authors report the F peak as a broad doublet. (2) Although the Rh spectrum is not reported, the pattern and intensity of the signal can be deduced (Figure 1 lb). It is assumed that the coupling to fluorine would not be resolved. 103

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The addition of the three C carbonyl ligands complicates all of the spectra. The P{ H} spectrum is an overlapping doublet of quartets of quartets (Figure 12). The simulation shows that all of the peaks should be resolved. The intensity of the peaks is based on the signal being split into a 1:1 doublet, which is then split into a 1:3:3:1 quartet, each peak of which is then into a 1:3:3:1 quartet. Overall, this gives eight small peaks (integration of 31

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Figure 7. Simulated Pf H) spectrum of the triphos phosphorus in (triphos)Pt(PF ). 3

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Figure 9. Simulated F{'H} spectrum of(triphos)Pt(PF ). 3

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Note: In the original article, the observed coupling constants were n identical when looking at two different nuclei. (2) For example, in t spectrum, the J . is reported as 61.8 Hz, while in the P{ H} spectrum JF-P was reported as 62.0 Hz. A single value was chosen for these problems to avoid any potential confusion. 3

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0.79), sixteen medium peaks (integration of 2.34) and eight large peaks (integration of 7.03). I3

The C{*H} is an overlapping doublet of doublet of quartets (Figures 13a). The signal is split into a 1:1 doublet by Rh. Each of these peaks is split into a second 1:1 doublet by P. Finally, the each peak is split into a 1:3:3:1 quartet which gives eight peaks with a relative integration of 3.12 and eight peaks with a relative integration of 9.38. The F{*H} is a doublet of quartets of doublets. The initial doublet is due to coupling to phosphorus, the quartet is due to coupling to the three equivalent C of the labeled carbonyls and the remaining doublet is due to coupling to Rh. 103

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While the Rh spectrum was not obtained, the coupling constants that are provided allow for simulation of the spectrum (Figure 14). (2) The signal should be an overlapping quartet of doublets of quartets. In the simulation,

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none of the peaks directly overlap. There are eight peaks with a relative integration of 0.78, sixteen peaks with a relative integration of 2.34 and eight peaks with a relative integration of 7.03. 4.

The phosphorus and deuterium atoms are equivalent in this structure, so there is one signal for the phosphorus. It is coupled to deuterium which has a spin = 1. Therefore, the phosphorus signal will be split into a pentet based on 2nl+l. If the pentet were due to coupling to four equivalent spin V nuclei, the intensity of the peaks based on Pascal's triangle would be 1:4:6:4:1. However, this would not be the pattern of the intensities seen due to coupling to deuterium. As previously discussed, the Pascal's triangle for spin 1 nuclei is based on powers of three. For coupling to two deuterium atoms, the sum of the row must be 3 . This gives a pattern of relative intensities of 1:2:3:2:1. This pattern is also seen in the Pt satellites giving the relative intensities shown (Figure 15). 2

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In Modern NMR Spectroscopy in Education; Rovnyak, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2007.

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Figure 14. Simulated P{ H} spectrum of trans-Pt(PMe ) (D) 3

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Note: The actual P{ H) spectrum of trans-Pt(PMe ) (D) was not reported. (3) The values usedfor the coupling constant in this exam actually the J . and J . foundfor the analogous protium complex, tran Pt(PMe ) (H) . (5) Although the actual coupling constants are anticip to be different, the actual experimental values are not needed fo purposes of this problem. 3

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In Modern NMR Spectroscopy in Education; Rovnyak, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2007.

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Acknowledgement The authors deeply thank Thao 'Liz' Nguyen for catching a critical mistake a few hours before this appendix was sent to the publisher.

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Literature Cited 1. Chatt J.; Mason, R.; Meek, D.W. J. Am. Chem. Soc. 1975, 97, 3826. 2. Vincente, J.; Gil-Rubio, J.; Guerrero-Leal, J.; Bautista, D. Organometallics 2004, 23, 4871. 3. Packett, D.L.; Trogler, W.C. lnorg. Chem. 1988, 27, 1768. 4. All spectra were simulated using WinDNMR. Reich, H.J. WinDNMR: Dynamic NMR Spectra for Windows J. Chem. Educ. Software 3D2. 5. Packett, D.L.; Jensen, C.M.; Cowan, R.L.; Strouse, C.E.; Trogler, W.C. Inorg. Chem. 1985, 24, 3578.

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