Rapid estimation of nuclear magnetic resonance experiment time in low-concentration environmental samples



Nuclear magnetic resonance (NMR) spectroscopy is an essential tool for studying environmental samples but is often hindered by low sensitivity, especially for the direct detection of nuclei such as13C. In very heterogeneous samples with NMR nuclei at low abundance, such as soils, sediments, and air particulates, it can take days to acquire a conventional13C spectrum. The present study describes a prescreening method that permits the rapid prediction of experimental run time in natural samples. The approach focuses the NMR chemical shift dispersion into a single spike, and, even in samples with extremely low carbon content, the spike can be observed in two to three minutes, or less. The intensity of the spike is directly proportional to the total concentration of nuclei of interest in the sample. Consequently, the spike intensity can be used as a powerful prescreening method that answers two key questions: (1) Will this sample produce a conventional NMR spectrum? (2) How much instrument time is required to record a spectrum with a specific signal-to-noise (S/N) ratio? The approach identifies samples to avoid (or pretreat) and permits additional NMR experiments to be performed on samples producing high-quality NMR data. Applications in solid- and liquid-state13C NMR are demonstrated, and it is shown that the technique is applicable to a range of nuclei. Environ. Toxicol. Chem. 2013;32:129–136. © 2012 SETAC


Nuclear magnetic resonance (NMR) spectroscopy is arguably the most powerful tool for the study of organic structures and has been central in understanding a broad range of environmental systems, including carbon cycling in the arctic 1–3, the effects of global warming on soil 4, unraveling the structure and interaction of humic substances 5–9, and elucidating organic components in air particles 10, 11. In particular, cross-polarization magic angle spinning (CP/MAS) experiments have been used extensively because of the qualitative structural information that is gained and because of its nondestructive nature 12. Cross-polarization magic angle spinning is now routinely used in environmental studies on a variety of samples, including natural organic matter, wood, sediments, and black carbon 13–16. In most cases, 13C is the nucleus of interest, which yields an overall profile of the organic composition of the sample; however, studies involving CP/MAS of other nuclei such as 15N and 31P also have wide environmental application 17, 18.

Most environmental studies have to deal with rather limited amounts of sample. In some cases, obtaining enough sample in the first place is the limiting factor, for example, with studies that isolate dilute dissolved organics from water or air particulates from the atmosphere or projects dealing with samples from remote locations (i.e., deep sediment cores, the Arctic or Antarctic), from which it is logistically difficult to return with large sample volumes. In other cases, samples become precious and limited due to extensive pretreatment or fractionation that may be required prior to NMR analysis 19. Consider, for example, that a sediment low in organic carbon may require treatment by hydrofluoric acid many times to dissolve minerals, reduce paramagnetics, and concentrate the organic material 20. Such treatments can take months and, when the organic carbon content is low, can consume a large amount of the original sample to produce the 100 mg required for common solid-state NMR analysis. Carbon combustion analysis may be performed to determine sufficient carbon content in a sample and helps determine whether 13C NMR analysis is feasible. However, in many cases, there is simply not enough material to permit accurate carbon analysis by combustion, which requires approximately 5 g per measurement (for samples <10% organic carbon) and should be performed in triplicate, which would require 15 g total 21. As such, it is often the case that an environmental researcher desperately needs high-quality NMR data and has spent months (possibly years) collecting and preparing the samples but cannot accurately gauge the feasibility of, or the time involved in, acquiring the NMR data. Additionally, most NMR centers have many users, and the analysis of low-carbon organic samples (especially by solids NMR) can routinely take 1 to 4 d per sample, making the spectrometer demands for large projects considerable. In cases in which no carbon data are available, a great deal of NMR time can be wasted on running a precious sample that produces no signal.

It would therefore be a considerable step forward for the field if it were possible to prescreen natural samples in a nominal time frame (2–3 min) and determine if a sample will produce an acceptable NMR spectrum and how much time is required to generate a desired signal-to-noise ratio (S/N). This would identify samples to avoid and permit additional NMR experiments to be performed on samples producing high-quality NMR data. Consequently, this approach greatly increases the amount of NMR information that can be obtained from natural samples in a set amount of time. Such an approach is introduced in the present study. The conventional NMR signal for a typical environmental sample is very weak (and could take many days to observe), so the prediction method is not based on the conventional NMR signal but instead is based on a “spikelet” that represents the summation of all the nuclei in the sample in one extremely narrow and easily observed spike. The approach is based on manipulation of the Carr–Purcell Meiboom–Gill (CPMG) pulse sequence.

The CPMG sequence (Fig. 1A and B) is commonly used in environmental studies for T2 relaxation measurements to quantify contaminant binding in environmental media and in water suppression techniques as a relaxation filter 22–24. It uses a series of spin echoes separated by a delay period (τ). If this delay is shortened to the point where the echoes are applied at a faster rate than the chemical shift can evolve, the result is that the chemical shift envelope is reduced to a single spike within the recorded bandwidth at the transmitter frequency 25. In addition, to concentrating the signal into a single spike, the spin lock also perturbs T2 relaxation and removes the effect of nonhomogeneous broadening, which can be significant in complex, heterogeneous samples 26–28. Thus, signal persists for much longer, permitting increased sampling, which leads to increased S/N (see Fig. 1C and D for an example with hemoglobin). The signal intensity of the CMPG spike is proportional to the total carbon signal from the sample. Thus, it can be used not only to indicate the existence of observable nuclei but also to predict the time required to attain a particular S/N in a conventional NMR spectrum. The use of CPMG is well documented in many NMR applications, and various articles describe the pulse sequence in greater detail 28–32.

Figure 1.

(A) Illustration of the solid-state Carr–Purcell Meiboom–Gill (CPMG) pulse sequence with cross-polarization. An 18-µs echo delay period (τ) between each 180° pulse is used to avoid chemical shift evolution and is repeated 280 times (n). High-power composite pulse decoupling (Spinal-64) is used during acquisition. (B) The liquid-state CPMG experiment consists of a 90° on the X nucleus with Waltz-16 proton decoupling during acquisition. An 18-µs echo delay period (τ) between each 90° pulse is used to avoid chemical shift evolution and is repeated 2,000 times (n). One hundred eighty degree pulses were not used in the liquid-state experiments because only one-quarter of the power (essential on a solution-state probe) is required for the corresponding 90° pulse and produced essentially the same result as a 180° pulse at a fast repetition rate. See Materials and Methods and Supplemental Data for further details. The 90° flip angle could also be used for solid experiments if required. (C) Free induction decay (FID) from a standard cross-polarization–magic angle spinning (CP-MAS) experiment for hemoglobin. The FID is fully relaxed in approximately 4 ms. (D) FID from the CPMG-SS experiment for the same sample. The FID extends well beyond 80 ms. Recording a solid-state CPMG-SS spectrum for an acquisition this long is pushing the limits of the probe and was produced only once to demonstrate the concept. Readers should not try to reproduce this and are strongly encouraged to read the Supplemental Data for procedures on safe CPMG-SS optimization. If optimized as outlined in the Supplemental Data, the CPMG-based solids experiment will actually use much less power than a conventional CP experiment and if applied appropriately can be carried out without stress to the spectrometer.

The single-spike technique has been previously demonstrated by Morris and colleagues 33, who explain it as a method to improve sensitivity by reducing and controlling chemical shift scaling. Lim et al. 25 use the single-spike technique to enhance multiple quantum NMR experiments. In the present study, the use of the CPMG single spike (CPMG-SS) spectroscopy to predict whether a sample will yield an adequate spectrum is demonstrated, and how the intensity of the CPMG spike correlates with the time required to obtain a full 13C NMR spectrum of a particular S/N is evaluated. To illustrate the approach, the present study analyzes several environmental samples in solid- and liquid-state NMR, and its use in 13C and 31P NMR is demonstrated.


Sample preparation

Crystalline hemoglobin from bovine blood was purchased from Sigma Aldrich and was used as is. Concentrations were varied by mixing with powered sodium chloride purchased from Fisher Scientific. An earthworm was selected from a healthy population of Eisenia fetida maintained within our laboratory since 2006, as described by Brown et al. 34. The original progenitor earthworms were purchased from The Worm Factory. The worm was flash frozen with liquid nitrogen, freeze dried, and stored at −20°C until required. Each solid sample was homogenized using a Wig-L-Bug with a steel ball and pestle for approximately 5 min, and a full rotor was packed each time. Suwannee River dissolved organic matter (DOM) purchased from the International Humic Substances Society was dissolved in 600 µl D2O (99.9%) and set to a pH greater than 12 using sodium deuteroxide (NaOD 99.5% D, 30% in D2O) for liquid-state studies. The D2O and NaOD were purchased from Cambridge Isotope Laboratories.

NMR spectroscopy

Nuclear magnetic resonance experiments were performed on a Bruker Avance III 500 MHz spectrometer. Cross-polarization (CP) and CPMG-SS experiments on hemoglobin and worm were performed on a 4-mm broad-banded solid-state probe. Cross-polarization experiments were performed at a spinning speed 13 kHz and a ramp of 80 to 100% with a CP contact time of 2 ms. A total of 3,072 points were used in the time domain, with an acquisition time of 40 ms and high-power composite pulse decoupling (Spinal-64). Spectra were zero filled by a factor of 2 and processed using an exponential function corresponding to a line broadening of 30 Hz in the final spectrum.

Carr–Purcell Meiboom–Gill single-spike parameters were identical to the CP parameters with the exceptions that the sample was static and that the decoupling power was attenuated by 3 dB (see Supplemental Data). Although it is possible to run the CPMG-SS with magic angle spinning (MAS), rotor synchronization is required to ensure proper echo formation 35. It was found that a static sample produced an adequate S/N in the CPMG-SS spectrum and indeed more than that observed in a nonsynchronized experiment under MAS. Given that the approach here is to prescreen samples, the use of a static sample is a considerable advantage in that the rotor does not have to be carefully balanced to ensure spinning, and time is not wasted in achieving a set spinning speed. As such, all the solid-state CPMG-SS experiments were acquired without MAS. A 15-µs 18-W pulse (corresponding to a low-power 180°) was used for echo formation with 790 loops and a delay of 18 µs. Spectra were zero filled by a factor of 2 and processed with an exponential function corresponding to a line broadening of 30 Hz in the final spectrum. Once the CMPG echoes are optimized for a specific probe, recalibration on a per-sample basis (even between very different samples) provided little to no improvement in the CPMG signal. Readers are strongly advised to read the Supplemental Data on safely implementing this approach and how to safely calibrate the CMPG pulse.

Soils were run on a second 4-mm broad-banded solid-state probe. The acquisition time was 14 ms, with 1,024 time domain points. The rotor spinning speed was 13 kHz. Cross-polarization experiments were performed with a ramp of 80 to 100%, a CP contact time of 2 ms, and high-power composite pulse decoupling (Spinal-64). Carr–Purcell Meiboom–Gill single-spike parameters were identical to those of the CP experiments except that they were acquired without spinning. A 12-µs 12-W pulse (corresponding to a low-power 180°) for echo formation was found to be optimal for the second probe, and 280 loops were used with an 18-µs delay.

Liquid-state experiments on DOM were conducted on a 5-mm broad-banded probe. Carbon experiments were acquired with 16,384 points, an acquisition time of 275 ms, and low-power Waltz-16 proton decoupling during acquisition. Spectra were zero filled by a factor of 2 and processed using an exponential function corresponding to a line broadening of 50 Hz in the final spectrum. Carr–Purcell Meiboom–Gill single-spike experiments in the liquid state were acquired with 16,384 points, a 131-ms acquisition time, and low-power Waltz-16 proton decoupling (same power level as in the conventional experiments). The CMPG pulse was calibrated to 18 µs at 20 W for the solution-state broadband probe. This actually corresponds to a low-power 90° pulse, because a 180° pulse on this specific probe required considerably more power. The 180° pulse was tested, but only slightly enhanced S/N was obtained, so the lower power 90° pulse was chosen to reduce stress on the solution-state probe. However readers should note that, because the delay between each pulse is so short, a spin lock condition is still satisfied, and a single spike is still achieved as discussed in detail by de Andrade et al. 36. Delay in the CPMG sequence was set to 18 µs with 2,000 loops. Spectra were zero filled by a factor of 2 and processed using an exponential function corresponding to a line broadening of 50 Hz in the final spectrum. See the Supplemental Data for the technique used to optimize the CPMG-SS sequence as well as some practical considerations.


Carr–Purcell Meiboom–Gill single-spike focuses all signals from all nuclei in a sample into one spike in the recorded bandwidth. The result is a complete loss of chemical shift information but an intense spike that is directly proportional to the concentration of NMR-active nuclei in the sample. The intensity of this spike can be used to estimate the amount of NMR time required to record a conventional spectrum. However, before the technique can be applied directly to environmental samples, it is important discuss some of the fundamentals behind the approach and demonstrate proof of principle. The present study demonstrates the concept and proof of principle on hemoglobin. Hemoglobin was chosen because it has a heterogeneous structure, contains paramagnetic centers, and exhibits fast relaxation, giving rise to broad NMR signals. As such it is difficult to work with in NMR spectroscopy (as are most environmental matrices) and represents a readily available and challenging surrogate for demonstration purposes. The approach is then applied to various soils (including a very-low-organic-carbon soil from the Arctic), dissolved organic matter from Lake Ontario, and a freeze-dried worm. The latter represents whole-tissue samples that are now being studied extensively by NMR to understand in situ environmental stress, metabolism and toxicity 37.

Proof of principle

A relationship between the S/N of the CPMG spike (S/NSS) and the number of scans required in a conventional 13C CP experiment to achieve a specific S/N (NSCP) can be determined. In any conventional NMR experiment, the S/N is directly proportional to the square root of the number of scans, the amount of sample (n), and various other spectrometer and environmental conditions, which are generally kept constant (k), as shown in Equation 1 38.

equation image(1)

When implementing the CPMG-SS experiment, if the number of scans is kept constant, the spike intensity can be used as a comparison between samples. Equation 1 then reduces to

equation image
equation image(2)

where NSSS is the number of scans of the CPMG-SS experiment and k1 is equal to equation image. If the goal is to acquire a CP experiment until a target S/N (S/NCP) is achieved, then S/NCP is kept constant, and Equation 1 can again be rewritten for a CP experiment as

equation image
equation image(3)

where k2 is equal to S/NCP divided by k. Finally, to relate S/NSS and NSCP, it is assumed that both experiments (CP and CPMG-SS) are run on the same sample, and therefore, n is equal. By solving for n in Equations 2 and 3 and equating them, the final expression relating S/NSS to the NSCP is found

equation image(4)

where K is equal to k1k2. Equation 4 states that the relationship between the spike intensity for a given number of scans (S/NSS) is inversely proportional to the square root of the number of scans required for the CP experiment to obtain a certain S/N value (NSCP). This relationship is confirmed experimentally with hemoglobin as the surrogate.

Hemoglobin samples of differing concentration were used to create a standard curve. The numbers of scans required to achieve S/N of 10 and 20 in a conventional CP experiment (NSCP) were found and then plotted against the S/N in the CPMG-SS experiment using 64 scans. The correlation fit Equation 4 very well (r2 > 0.98), as shown in Figure 2. In addition to confirming the relationship between the S/NSS and NSCP, the plot is also useful as a calibration curve from which the S/N in a conventional 13C CP-MAS (S/NCP) can be predicted from the S/N in the CPMG-SS experiment (S/NSS) for a hemoglobin sample of unknown concentration.

Figure 2.

Four samples of hemoglobin (3.69, 5.81, 7.81, 12.07 mg) were run until an S/NCP of 10 was reached. A second curve was created for an S/NCP of 20 (5.89, 7.81, 12.07, 25.69 mg). Fitting the obtained data to Equation 4 demonstrates that the relationship between S/NSS and NSCP holds experimentally; S/NSS is inversely proportional to the square root of NSCP. The slope of each line represents K in Equation 4. These curves are used later as a calibration curve to predict S/NCP for hemoglobin samples of unknown concentrations. S/N = signal-to-noise ratio.

To validate the predictive ability of the standard curve shown in Figure 2, the S/N that would be obtained after a given experiment run time for hemoglobin samples with unknown concentration was predicted. Three samples of differing concentration were used, and the S/NSS was determined for each. Depending on whether the intersection between S/NSS and experimental run time lies in the light gray, dark gray, or white region in Figure 3, the corresponding S/NCP can be estimated to be under 10, between 10 and 20, or over 20, respectively.

Figure 3.

To demonstrate that the standard curve can estimate S/NCP, three hemoglobin samples with random quantities were used. A line from the S/NSS and a predetermined experimental runtime formed an intersection (denoted with crosses) on the graph. If the intersection was below the 10 S/NCP curve (light gray region), then an S/N lower than 10 would be achieved as illustrated by the green spectrum. An intersection between 10 and 20 (dark gray region) or above 20 S/N curve (white region) meant that the resulting conventional 13C cross-polarization (CP) spectrum would be 10 to 20 or >20 S/N, respectively. Note that the x axis has been renamed and shows the experimental run time equivalent to the equation image to illustrate the concept better. Time indicates the CP experimental run time to acquire the spectrum shown. S/N = signal-to-noise ratio.

For example, from the S/NSS value attained in the CPMG-SS experiment after 64 scans and a given experiment time of 4 h, it can be predicted that the highest concentration sample (red lines in Fig. 3) should have an S/NCP > 20. Experimentally, an S/NCP of 25.50 was obtained, which agrees with the prediction. The next sample (blue lines) was to be run overnight for 16 h and falls into the dark gray region between 10 and 20 S/NCP. After the overnight CP experiment, the actual S/NCP was 16.27. Finally, the last sample produced a very low S/NSS (green lines) of only 5.26 and was to be a 16-h experiment as well. Based on the standard curve, it was estimated that an S/NCP < 10 would be produced, and an experimental S/NCP of 2.94 was obtained. This last example is a situation in which running the CPMG-SS experiment prior to running the CP would have been enough to conclude that an adequate S/N would not be obtained overnight and that more scans would be required to achieve a discernible spectrum. Each CPMG-SS spectrum took 2 min to run, so determining whether an adequate S/N would be obtained for each sample took only a few minutes to calculate. In a real-life scenario, the spectrometer time for the last overnight run would have been saved if the CPMG-SS experiment was used to determine that an acceptable spectrum would not have been obtained in the allocated amount of spectrometer time.

Estimating experimental runtime in environmental samples

The standard curve developed for hemoglobin cannot be used for samples that are significantly dissimilar in chemical composition because of the differences in heterogeneity. Other proteins could possibly use the standard curve developed in Figure 2, but samples with very different compositions will require recalibration. Here, the approach is tested using real environmental soil samples. A different standard curve for calibration is required because the composition of soil significantly differs from that of hemoglobin.

In this section, a single-point calibration curve is used in which only a single point (one sample from the study) along with the origin from the coordinate plane is plotted and used to predict experimental run time. This is much faster and requires the acquisition of only one conventional CP experiment from which the experiment time and S/N for the other samples in a series can be predicted from the CPMG-SS (2–3 min per sample). A single point calibration is adequate, because the technique is most useful for estimation purposes and is helpful in answering the common questions, “Will my sample give an acceptable spectrum?” and “How much spectrometer time do I need?”

To demonstrate the concept, a series of three forest-soil samples was used. The NSCP and the CPMG spike intensity (S/NSS) were determined for one of the samples at an S/NCP of 10. From these values and the origin as the second point, the slope (K) was calculated. The slope can now be used to solve for NSCP given the S/NSS using Equation 4. Consequently, the S/NSS for the two other soils were obtained using only 2 to 3 min of spectrometer time. These were then used along with the calculated K value to determine how many scans were required (NSCP) to obtain an S/N of 10 in the conventional CP experiment. The number of scans required for an S/NCP of 10 were calculated to be 1,148 for the first soil and 4,110 for the second. The experimental S/NCPs obtained after these numbers of scans were 11.60 and 8.16, respectively, which is reasonably close to the predicted S/NCP of 10.

The variability mainly arises because of the chemical differences in the samples. Although they are all forest soils, they are not chemically identical and tend to vary significantly with soil type, location, drainage, vegetation cover, microbial populations, and the ecosystem that they support as a whole. As a result, the S/N is calculated slightly differently for each of the conventional carbon CP spectra. Despite this, it is clear that CPMG-SS spectroscopy is very powerful for estimation of runtime and S/N in unknown samples and can save spectrometer time if used efficiently.

It is important to stress that a calibration should be performed for each particular series of samples to be studied. In this example, all three soils were forest soils and thus had broadly similar carbon chemical shift dispersion. However, it is unlikely that a single calibration curve will hold for all soils because soils can drastically vary in chemical composition and heterogeneity. Similarly, in a biological setting, the calibration curve for hemoglobin is unlikely to hold for human blood because blood contains many components other than hemoglobin, but, once constructed from a single point, a human blood calibration curve should be fairly accurate for all human blood samples.

Very-low-abundance samples

Soil and sediment carbon contents can vary drastically, so obtaining total organic carbon measurements can be very beneficial. In some cases, however, the amount of sample required for this procedure may exceed the amount of sample available, and the carbon content remains unknown. Samples with high amounts of carbon can produce an acceptable NMR spectrum in minutes to hours, whereas the signals from samples with low carbon may require 12 h or longer. These are samples that are most problematic and would benefit from a technique such as the CPMG-SS, which allows for rapid detection and experiment time estimation.

To really push the limits of detection, a sample with extremely low amounts of carbon nuclei was employed, and the S/NSS was observed using 128 scans. The sample used was an Arctic watershed soil sample that had previously been reported to have a carbon content of approximately 1% 2. Here CPMG-SS was used in its most basic form, simply attempting to ascertain whether this single sample will ever give rise to an acceptable NMR spectrum, the logic being that, if no CMPG-SS signal is seen after 128 scans, then acquiring a conventional spectrum is unlikely. However, if even a small CPMG-SS can be recorded, then there is a chance to obtain a reasonable conventional NMR spectrum over an extended run. The spike obtained for this soil is very small (Fig. 4A) compared with the other forest soils described above, as expected because of its very low carbon content. Because of this, that the 13C CP experiment returned a barely discernible spectral profile overnight, as illustrated in Figure 4B, was not a surprise. In this case, the low CPMG-SS S/N is an indicator that considerably more experiment time is required to obtain a useful spectrum or that pretreatment to concentrate this sample should be considered. Figure 4C shows that, after hydrofluoric acid treatment, an acceptable spectrum could be acquired for this relatively precious Arctic soil. It is important to note, however, that in just 2 min, the S/N of the CPMG-SS is higher than that obtained in an overnight run. From this, some very crude, yet practically important, conclusions can be drawn, even for single samples that lack comparable partners on which a more accurate S/N prediction can be based. These conclusions can be summarized as follows: (1) If a CPMG spike cannot be observed in 2 min, it is very unlikely that a 13C conventional NMR spectrum can ever be recorded; and (2) if a CPMG-SS can be discerned in 128 scans but has an S/N of 10 or less, the sample likely will require an extended run (a weekend, at least). If the S/N in the CMPG-SS is greater than 10, an adequate spectrum likely can be acquired overnight.

Figure 4.

Demonstration of Carr–Purcell Meiboom–Gill single-spike (CPMG-SS) sensitivity in a very-low-concentration sample, an Arctic watershed soil sample containing approximately 1% carbon. A CPMG-SS spectrum (A) was seen within minutes (128 scans) but suggests a very low carbon content. Overnight, the 13C cross-polarization (CP) spectrum (B) returned no discernible spectrum (black), as predicted from the CPMG-SS intensity. Running the CPMG-SS experiment informs the spectroscopist that a resolvable spectrum cannot be obtained in a reasonable amount of time and that a pretreatment technique, if applicable, should be used to concentrate the organic component, or the experiment should be run for a longer time. In this case, hydrofluoric acid treatment was used to concentrate the sample and a resolvable spectrum (gray) was then produced with the same number of scans. [Color figure can be seen in the online version of this article, available at wileyonlinelibrary.com]

Other nuclei

A range of other spin-half NMR nuclei is of interest for environmental research from the cycling of 31P and 15N 17, 18, to the study of metal contaminants such as 199Hg, 113Cd, and 207Pb 24, 39, 40. Recording NMR spectra is often challenging in part because the nuclei are relatively insensitive and in part because of the wide range of chemical environments present in heterogeneous environmental samples. To demonstrate that the CPMG-SS approach is not limited to 13C, 31P NMR was performed on a freeze-dried worm.

Figure 5A (left) displays the CPMG-SS spike and corresponding 31P CP experiment for a freeze-dried worm. Cross-polarization was optimized for a 31P spectrum, and the number of echoes and τ in the CPMG-SS experiments were kept the same as in the 13C experiments because they met the requirements for a single spike within the bandwidth of the 31P spectrum. The CP spectrum shows side bands at 13 kHz, which is equivalent to the spinning speed, and the spectrum itself is a broad peak characteristic of the inhomogeneity in the sample. As illustrated in the graph in Figure 5, a calibration curve similar to the one constructed above for hemoglobin and soil can be constructed for 31P NMR using worm tissue (circle in Fig. 5). To test the predictability of the calibration, a second worm sample was diluted 7.75 times with an inert filler. From the constant K (from the slope of the calibration) and Equation 4, the number of scans required to achieve an S/NCP of 15 is predicted to be 27,667 scans. When running the sample, the actual NSCP to achieve an S/NCP of 15 was 27,950 and is represented by the square in the graph, a difference of 1% compared with the estimated value. Thus, experimental time can also be estimated for spin half nuclei other than 13C using CPMG-SS spectroscopy.

Figure 5.

31P Carr–Purcell Meiboom–Gill single-spike (CPMG-SS) (left) nuclear magnetic resonance (NMR) of a freeze-dried worm and the corresponding 31P cross-polarization–magic angle spinning (CP-MAS) experiments (right) of the whole-worm sample (A) and a worm sample with an inert salt filler (B). High-power composite pulse decoupling (Spinal-64) was used with 790 loops and an 18-µs delay similar to the 13C experiments. The 31P spectrum shows characteristic spinning side bands at 13 kHz and one broad peak representing the nonhomogenous chemical phosphorus in the worm. The calibration curve was created using the concentrated sample, and the NSCP was then calculated for the dilute sample. It was found that the calculated NSCP was roughly 1% different from the actual value, proving the applicability of this technique to spin half nuclei other than 13C. S/N = signal-to-noise ratio. [Color figure can be seen in the online version of this article, available at wileyonlinelibrary.com]

Liquid-state experiments

The aqueous phase is important to environmental NMR studies, including those involving soils, all bodies of water, plants, and metabolomics 1, 6, 37. The use of CPMG-SS to estimate experimental runtime can also be applied to solution-state NMR, as demonstrated in Figure 6. Here, liquid state 13C CPMG-SS spectra (left panel) of riverine dissolved organic matter (DOM) were obtained at various concentrations, and the corresponding conventional 13C experiments (top right) are shown in the corresponding color. The graph at bottom right is a correlation between the S/NSS and the S/N in the conventional 13C experiments (S/NCC) of each of the three spectra and demonstrates that the CPMG-SS method has predictive capabilities in the solution state.

Figure 6.

Liquid-state conventional 13C and Carr–Purcell Meiboom–Gill single-spike (CPMG-SS) spectra of dissolved organic matter at three different concentrations (200 mg/ml, red; 40 mg/ml, blue; 10 mg/ml, green). Each conventional 13C spectra was run for 16 h, whereas the CPMG-SS spectra took 3 min. Equating S/NSS and S/NCC by keeping the number of scans constant for each experiment reveals a linear correlation, which is also predicted mathematically. This demonstrates that there is an obvious correlation with the amount of carbon in the sample and the S/NSS in liquid-state nuclear magnetic resonance (NMR), which is all that is required to create a standard curve for experimental run time estimation. S/N = signal-to-noise ratio.

The sensitivity of the CPMG-SS technique is illustrated once again with the green spectra in Figure 6. Readers should note that, in solution-state NMR, the 128-scan CPMG-SS takes 3 min versus 2 min in solid-state NMR. This is due to the acquisition time being shortened in solid-state NMR to permit high-power decoupling, which, if applied too long, can damage the NMR probe. In 3 min, a CPMG-SS spectrum is obtained for the lowest concentration, whereas the features are still indistinguishable from the noise in the conventional 13C spectrum after 16 h. This is consistent with solid-state results indicating that a sample with a CPMG-SS S/N of less than 10 in 128 scans will require much longer than overnight to record a reasonable spectrum. The approach provides the knowledge needed by the spectroscopist to pretreat and concentrate the sample if necessary, or in some cases simply make the experimental run time long enough to achieve an acceptable spectrum. In addition, it provides a concrete method to identify samples that are simply too dilute for conventional NMR and avoids wasting instrument time.


By using the predictive single-spike technique described here, it is relatively easy to determine whether a sample with unknown carbon content will produce an acceptable NMR spectrum in a given amount of time. If the time required to obtain an adequate conventional spectrum is prohibitive, then the sample can be concentrated and/or pretreated and wasted NMR time is avoided. The CPMG-SS method is very rapid (2–3 min) and does not require MAS in solids, resulting in a rapid and simple prescreening approach. To predict the runtime in a series of similar samples (note that they have to be only roughly similar in terms of chemical composition and can vary greatly in concentration), all that is required is one conventional NMR spectrum along with a CPMG-SS from any sample in the series. The intensity from the CPMG-SS experiment is then used to predict the experimental runtime for other samples in the series. This approach yields enough accuracy (∼±20% of the true S/N) for estimation purposes. If only a crude estimate is required, for example, to answer the question, “Will a specific sample produce an acceptable NMR spectrum at all?”, an approximation can be made from the CMPG-SS S/N alone, as was demonstrated with an Arctic soil. Finally, the CPMG-SS pulse program can be applied to other nuclei, as demonstrated by the 31P experiments. The present study demonstrates a novel approach to estimate experimental time required for the NMR analysis of various environmental samples and has the potential to save spectrometer time and associated instrument costs.


H. Masoom thanks the Natural Sciences and Engineering Research Council of Canada (NSERC) for a postgraduate doctoral award. A. J. Simpson thanks NSERC, Strategic and Discovery Programs, the Canada Foundation for Innovation, and the Ministry of Research and Innovation for providing funding. A. J. Simpson also thanks the Government of Ontario for an Early Researcher Award. The authors thank C. Mitchell for providing the soil samples.