Abstract
Utilization of 2H, 13C, and 15N isotopically labeled proteins and peptides is now routine in biomolecular NMR investigations. The wide-spread availability of inexpensive, uniformly 13C enriched glucose now makes it possible to isolate uniformly 13C labeled natural products from microbial fermentation. We now wish to describe an approach for the rapid structural characterization of uniformly 13C labeled natural products that avoids the pitfalls of relying on parameters typically employed in biomolecular NMR studies.
Keywords: U-13C labeled, CT-HSQC, 13C–13C COSY and COSYLR, natural products, structure elucidation, enterocin
Introduction
Natural products from microbial and fungal fermentations are a rich source of bioactive molecules that can provide an effective entry point into the development of therapeutic agents for a wide variety of human and animal health issues.[1] Although the field of natural products isolation and structure elucidation is, in many respects, mature, it is still a generally time-consuming process that sometimes may lead to structural ambiguity. In the past decade, natural product-based drug discovery has fallen into disfavor with most major pharmaceutical research companies.[2] In this report, we present a streamlined approach to rapid structure characterization of natural products utilizing uniform (U) 13C labeling. This strategy has become feasible because of the increased availability and affordability of labeled substrates such as U-13C labeled glucose. Using labeled substrates in fermentation media produces metabolites highly enriched with 13C. With the 13C label in place, the backbone of virtually any natural product can be quickly established by standard and long-range optimized 1H-decoupled 13C–13C COSY experiments.[3–5] The 1H NMR chemical shifts can be subsequently assigned through the use of an F1-decoupled HSQC experiment. The constant time CT-HSQC described by Bax and coworkers[6] provides a method to achieve F1 decoupling in the HSQC experiments of uniformly 13C-labeled peptides and proteins. Herein, we expand the theoretical framework of the CT-HSQC approach to make it universally applicable to practically any U-13C labeled organic small molecule. The resulting structure elucidation strategy is demonstrated both theoretically and experimentally using the natural product enterocin,[7] 1, as an example. Practical limitations of the experimental approach will also be described in this report.

1H–13C HSQC: a cornerstone of structure elucidation
Natural abundance 1H–13C HSQC experiments[8,9] have represented a cornerstone of small molecule structure elucidation protocols for more than 20 years. The experiment offers high sensitivity, straight-forward and robust setup, while providing a 1H/13C fingerprint of the molecule. Multiplicity-editing adds additional information content relating to the number of protons covalently attached to each carbon atom. Recently developed pure shift analogs of the HSQC experiment have served to further increase resolution and sensitivity.[10–12] In addition to 1H and 13C chemical shifts, HSQC spectra provide a wealth of structurally relevant information. In fact, there are successful examples of using just 1H and multiplicityedited 1H–13C HSQC data for automated structure verification purposes.[13]
Uniform 13C labeling of small molecules offers opportunities to access quaternary 13C chemical shifts, as well as 1H–13C and 13C–13C coupling constant information, the latter of which are not easily accessible at 13C natural abundance.[14] At the same time, U-13C labeling introduces additional JCC and JCH pathways during t1 evolution in the HSQC experiment, which are negligible at natural abundance. Evolution of JCC and JCH couplings affects sensitivity, lineshape, and the phase of HSQC cross-peaks and complicates data interpretation, and therefore is undesirable and to be avoided. The constant time (CT) approach was first introduced in 1992 to avoid JCH evolution and to minimize JCC evolution in 1H–13C HSQC of uniformly 13C-labeled proteins and peptides.[6] The success of CT-HSQC experiment is heavily reliant on the structural uniformity of amino acid residues, which equates to uniformity of the corresponding JCC coupling constants.
Applying the same approach to a much broader range of 13C–13C coupling constants and chemical shifts is non-trivial. Recently, a modified version of 1H–13C HSQC for U-13C labeled small molecules was published.[15] However, the modified experiment still focuses on the same narrow range of JCC couplings as the original CT publication and hence has limited general applicability. We believe that the issue can benefit from a thorough theoretical analysis of potential modulations introduced by JCC couplings, similar to the analysis performed for the ADEQUATE experiments.[16]
CT-HSQC and its limitations
The constant time (CT) pulse sequence element and an example of an HSQC pulse sequence are shown in Fig. 1. Constant time pulse sequence elements simplify, but do not remove, JCC evolution. Evolution caused by JCC introduces a modulation to the magnetization that is a cosine function of the JCC coupling constant and CT value:
| (1) |
Figure 1.
Pulse sequence elements of the CT-HSQC experiment and the principle of CT evolution.
Here, the terms AJCC, BJCC, and CJCC denote one-bond 13C–13C homonuclear coupling constants between the carbon of interest and up to three neighboring carbons, A, B, and C. Long-range nJCC couplings can also contribute to the modulation significantly in some cases because some nJCC couplings can be rather large, ranging up to >16 Hz.[17]
In the case of amino acids and, consequently, peptides and proteins, the mathematical description of the CT-HSQC experiment can be significantly simplified because of structural uniformity, which translates into uniformity of the corresponding JCC coupling constants. All aliphatic 1JCC values will be within a 32–40 Hz range, and long-range nJCC couplings are small enough in amino acids to consider them negligible. One-bond and long-range couplings to the carbonyls of the peptide backbone are selectively suppressed, which is possible because of narrow and predictable range of their 13C chemical shifts.[6] The simplified formula uses average aliphatic 1JCC value and a number of covalently bound carbon neighbors, N:
| (2) |
Choosing CT to match 1/Jav (26.6 ms) allows multiplicity-editing based on the number of covalent carbon neighbors. CT matched to 2/Jav (53.2 ms) leads to correlation responses with the same phase.[6] Long-range nJCC are again considered negligible with a corresponding cosine term close to 1.
One can easily see that while this approach is powerful, provided that the assumption regarding JCC is valid, the method quickly fails, becoming unusable in the more general case of an organic small molecule. Small molecule 1JCC values typically are in 25–70 Hz range,[18,19] with known outliers as low as 6–15 Hz for cyclopropyl and 15–20 Hz for cyclobutyl carbons and as high as 85–95 Hz for protonated acetylenic carbons.[19,20] Similarly, long-range nJCC constants are also more highly variable and can range to as large as 16 Hz,[17] thus contributing significantly to the modulation of magnetization. As an example, at an optimization of 53.2 ms for the constant time period as in the original publication,[6] a long-range coupling of 9 Hz will essentially null the modulation function, thereby eliminating an HSQC correlation.
Analysis of the limits of CT approach
In the general of case of an organic molecule there are four possible situations: 0, 1, 2, and 3 carbon neighbors. We will provide a mathematical treatise for every case. The effect of nJCC couplings will be considered later.
N= 0: No JCC couplings.
| (3) |
N= 1: One JCC coupling.
| (4) |
N= 2: Two JCC couplings.
| (5a) |
Applying a trigonometric transformation cos(x) × cos(y) = 0.5 × [cos(x + y) + cos(x − y)] transforms (5a) from the multiplicative to the additive function:
| (5b) |
The resulting arguments are now (AJCC + BJCC) and (AJCC − BJCC) instead of AJCC and BJCC.
It is now easy to see that within the range of one-bond carbon– carbon couplings typically encountered with small organic molecules the function M2(J) can adopt any value between −1 and +1, including null. Moreover, even small changes in the 1JCC value may dramatically impact the result and thereby response intensity. For example, consider a CT value of 53.2 ms used in the original publication[6] (matched to the average aliphatic 1JCC coupling for proteins and peptides):
| (6) |
| (7) |
| (8) |
Considering that 38, 44, 47, and 50 Hz are all within the typical range of 1JCC coupling constants for organic molecules, one can easily see how an otherwise minor 3 Hz difference can cause dramatic variations in both sign and relative intensity of cross-peaks in a CT-HSQC spectrum. This hypothetical example clearly illustrates challenges of using CT-HSQC for a uniformly 13C-labeled organic molecule such as a natural product.
N= 4: Three JCC couplings.
| (9a) |
Equation (9a) can be simplified considering that the only case when a protonated carbon can have three other covalently bound carbons if it is an sp3 carbon. In this case, direct carbon–carbon 1JCC couplings will be confined to a relatively narrow range, and original CT assumption can still be used here:
| (9b) |
Graphical representation of M1(J) and M3(J) are shown in Fig. 2, and M2(J) behavior is shown in Fig. 3. For all cases CT is set to 53.2 ms as in the original publication.[6] All functions have intensity and sign variations that are dependent on 1JCC coupling constants.
Figure 2.

Graphical representation of response intensity M1(J) (green) and M3(J) (red) at CT of 53.2 ms.
Figure 3.

Graphical representation of response intensity M2(J) at CT of 53.2 ms. Ten M2(J) functions are shown with JCC incremented from 30 Hz to 75 Hz with 5 Hz step and with variable J represented by BJCC.
Zero crossings are especially undesirable because it means that certain coupling constants will result in null magnetization, effectively erasing the corresponding HSQC cross-peak.
Optimization of CT for a general case
It is clear from the analysis of Eqns (3–9) that there is no ‘ideal’ setting of CT that will adequately cover the typical range of one-bond carbon–carbon couplings in organic molecules without modulation of the function crossing zero (often more than once) within this range. Figure 4 provides a visual aid showing the M2(J) function at varied CT values.
Figure 4.
Graphical representation of response intensity M2(J) at different CT values. For each CT value, ten M2(J) functions are shown with AJCC incremented from 30 Hz to 75 Hz with 5 Hz step and with variable J represented by BJCC.
As a first approach to identifying a ‘universal’ CT setting, one could try to find a compromise CT value that would be sufficient for most but not all possible one-bond couplings, similar to the approach utilized for the inverted 1JCC 1, n-ADEQUATE experiment.[21] Using similar methodology, we calculated that the CT value of 20 ms would represent such compromise. With this optimization, M2(J) will cross zero at 25 Hz and 75 Hz (see Fig. 5), which may be considered acceptable because 25 and 75 Hz are on the edges of the typical range of one-bond couplings encountered for most natural products.[18–20] However, further analysis of M3(J) behavior shows that choosing a 20-ms optimization for CT is a rather poor choice in terms of a universal optimization. With 20-ms CT optimization, 1JCC coupling constants in the range from 19 to 31 Hz (as well as from 69 to 81 Hz) will result in response intensity below 5% of maximum possible value, which for practical purposes can be considered null (see Fig. 5). Having 1JCC coupling constants ranges of 19–31 Hz and 69–81 Hz as null regions is very undesirable because they overlap with the typical range of one-bond 13C–13C couplings in organic small molecules and natural products. Large long-range 13C–13C couplings would also attenuate down the signal intensity, although less drastically. With the optimization of CT for 20 ms, the intensity loss because of long-range carbon– carbon couplings, nJCC, of 16, 10, and 7 Hz is calculated to be 40%, 20%, and 10%, respectively. Of course an investigator could still use a 20-ms optimization for the CT parameter if no 1JCC couplings are smaller than 32 Hz or larger than 68 Hz are expected in the molecule, but it is definitely not universal for organic small molecules and natural products.
Figure 5.

Graphical representation of M1(J) (grey), M2(J), and M3(J) (black) response intensities at 20 ms CT value. For visualization purposes, ten M2(J) functions are shown with AJCC incremented from 30 Hz to 75 Hz in 5 Hz step and with the variable J represented by BJCC.
A closer look at the formula (5b) makes it clear that in order to decouple JCC evolution in a truly uniform fashion, one has to satisfy all possible ranges of (AJCC + BJCC) and (AJCC − BJCC). The only way to accomplish this goal is by creating a very slow cosine wave, which is achieved with a 5 ms optimization of the CT interval (see Fig. 6). This setting represents truly universal optimization: in a coupling range of 0–96 Hz it yields both constant phase and reasonable signal intensity (zero crossing is at 100Hz). Additionally, this optimization is very insensitive to smaller nJCC couplings: even the largest nJCC of 16 Hz would cause an intensity loss of less than 3%.
Figure 6.

Graphical representation of M1(J) (grey) and M2(J) response intensities at 5 ms optimization of the constant time interval. For visualization purposes, ten M2(J) functions are shown with AJCC incremented from 30 Hz to 75 Hz with 5 Hz step and with variable J represented by BJCC.
Optimization of the CT interval for a universal value of 5 ms has one major disadvantage: a short constant time interval limits t1, which in turn limits the resolution of the indirectly determined frequency domain F1 to 200 Hz. Linear prediction during processing can somewhat improve F1 digital resolution. However, this disadvantage does not affect the structure elucidation protocol for 13C-labeled molecules, because high resolution 13C data are available via 1D 13C and 2D 13C–13C COSY spectra. These points will be further considered below in the results and discussion section.
Results and discussion
1H decoupled 13C–13C COSY
The first step in the carbon backbone determination of a uniformly 13C labeled natural product is to acquire a 1H decoupled 13C–13C COSY spectrum.[4] These data quickly provide information on the carbon–carbon connectivity of all neighboring carbon atoms. Because of the high incorporation of 13C label, these experiments can be acquired in a short experiment time as shown below using a 7.8-mg sample of enterocin (1). One-bond carbon–carbon correlations afford partial structures, which can be successively linked together through heteroatoms utilizing long-range (nJCC, n = 2,3) 13C–13C correlations via a 13C–13C COSYLR[5] experiment. In the case of 13C–13C COSY, the choice of the t1 evolution time governs the size of the 13C–13C coupling constant leading to the observation of a cross-peak. As the t1 interval becomes longer, progressively smaller 13C–13C coupling constants will afford correlations. For a given spectral width, the t1 evolution time can be increased by either increasing the number of F1 increments or by using COSYLR with an explicitly specified t1 evolution delay. Both of these approaches provide comparable data, but COSYLR proved to be more practical because it allows one to set any t1 evolution interval while keeping the number of F1 increments small and governed only by needed resolution in F1 indirectly acquired dimension.
Figure 7 shows the 1H decoupled 13C–13C COSY spectra optimized for one-bond and for long-range 13C–13C couplings. The spectra were acquired in 35 min and in 4 h and 45 min, respectively using a Bruker 600-MHz AVANCE III triple resonance spectrometer equipped with 1.7-mm MicroCryoProbe.™
Figure 7.
1H decoupled 13C–13C COSY spectra of the enterocin. A.) 1H decoupled 13C–13C COSY spectrum optimized for one-bond correlations. The experiment was acquired with 2048 points in the direct F2 dimension and 256 points in the indirect F1 dimension for a maximal t1 interval of 8.5 ms. Pulses affording a 45° flip angle were used. Each FID was acquired with four scans giving a total acquisition time of 35 min. Every possible one-bond 13C–13C correlation has been observed (see Fig. 9) with an average signal-to-noise ratio of 82:1. B.) 1H decoupled 13C–13C COSYLR spectrum optimized for 2- and 3-bond correlations. The experiment was acquired with 2048 points in the direct F2 dimension and 256 points in the indirect F1 dimension, the t1 delay was set 50 ms. Again, pulses affording a 45° flip angle were used. Each FID was acquired with 32 scans giving a total acquisition time of 4 h 45 m.
Universally optimized 1H–13C CT-HSQC
Structure elucidation paradigms for U-13C labeled natural products generally utilize a 1H-decoupled 13C–13C COSY as the primary structural tool, while CT-HSQC data are employed in a supplementary role to establish 1H–13C direct correlations. Figure 8 shows CT-HSQC spectra acquired with CT intervals of 5 and 26.6 ms acquired on a 7.8 mg sample of U-13C labeled enterocin. The acquisition times were 16 and 85 min, respectively, using a Bruker 600-MHz spectrometer equipped with a 1.7-mm MicroCryoProbe.™
Figure 8.
CT-HSQC spectra of U-13C labeled enterocin shown with normalized vertical scales. Positive contours are black and negative contours are red. Enterocin structure with highlighted groups, corresponding to the highlighted HSQC correlations, is shown. A.) CT-HSQC spectrum with CT interval of 5 ms. The data were acquired with 2048 points in the direct F2 dimension and 128 points in the indirect F1 dimension. Four transients were accumulated per t1 increment giving a total acquisition time 16 m. B.) CT-HSQC spectrum acquired with the CT interval optimized for 26.6 ms. The data were acquired with 2048 points in the direct F2 dimension and 682 points in the indirect F1 dimension. Four transients were accumulated per t1 increment giving a total acquisition time of 85 m. Two missing correlations and two correlations with the inverted phase clearly illustrate the importance of employing the optimized CT interval.
One can easily appreciate the robustness of the universally optimized CT-HSQC spectrum acquired with CT optimized to 5 ms: no correlations are missing, phase characteristics are good, and there are only small variations in relative peak intensities. Other CT settings are noticeably less reliable. For example, a CT-HSQC spectrum acquired with 7.5 ms optimization has some peaks missing and other peaks exhibit severe phase distortions (see Figure S1 in the Supplementary Information). The CT optimization of 26.6 ms (default value for proteins and peptides[6]) results in a spectrum with multiple missing correlations and with inverted phase for other responses. Experimental results in these three spectra confirm the theoretical considerations developed above. All missing or inverted responses are in quantitative agreement with nulls and inversions of the response intensity governed by the Eqn (1) (see Figures S1–S4 in the Supplementary Information).
Structure elucidation of enterocin
A ‘rough’ carbon skeleton of the enterocin molecule was assembled using 1H decoupled 13C–13C COSY optimized for large couplings (see Figs. 7 and 9). This skeleton consisted of several substructures that are formed whenever a contiguous carbon– carbon chain is interrupted by a heteroatom (Fig. 9). The resultant substructures were connected together using long-range 1H decoupled 13C–13C COSYLR data and 1H–13C connectivities from the optimized CT-HSQC spectrum (see Figs. 8 and 9). The total acquisition time for all necessary experiments (short-range 1{H} 13C–13C COSY, long-range 1{H} 13C–13C COSYLR, CT-HSQC, 1D 1H, and 1D 13C) was 5 h 35 m for a 7.8 mg sample of U-13C labeled enterocin, with 13C–13C COSYLR requiring 4 h 45 m, which represents 85% of total acquisition time.
Figure 9.

Structure of enterocin derived directly from the 13C–13C COSY data. Bonds shown in red represent one-bond carbon–carbon correlations observed in 1H decoupled 13C–13C COSY experiment. Arrows represent multiple-bond correlations observed in 1H decoupled 13C–13C COSYLR experiment acquired with a 50 ms delay. Strong nJCC correlations are shown using solid arrows, and weak correlations are denoted by dashed arrows.
Enterocin fermentation and isolation
The ascidian, Didemnum psammathode, was collected in October, 2010, in the Florida Keys (24° 37.487′, 81° 27.443′). For cultivation, a sample of ascidian (1 cm3) was rinsed with sterile seawater, macerated using a sterile pestle in a micro-centrifuge tube, and dilutions were made in sterile seawater, with vortexing between steps to separate bacteria from heavier tissues. Dilutions were separately plated on three media: ISP2, R2A, and M4. Each medium was supplemented with 50 μg/ml cycloheximide and 25 μg/ml nalidixic acid. Plates were incubated at 28 °C for at least 28 days. Strain WMMB285 was identified as a Streptomyces sp. based on the 16S rDNA sequence (GenBank JX960758.1).
A 10 mL seed culture (25 × 150 mm tubes) in medium ASW-A (20-g soluble starch, 10 g glucose, 5 g peptone, 5 g yeast extract, 5 g CaCO3 per liter of artificial seawater) was inoculated with strain WMMB285 and shaken (200 RPM, 28 °C) for seven days. The seed culture was used to inoculate 100 mL of 13C-enriched ASW-A media (10 g U-13C-glucose/L) containing Diaion HP20 (4% by weight). After 7 days, filtered HP20 and cells were washed with water and extracted with acetone. The acetone extract was subjected to liquid–liquid partitioning using 30% aqueous methanol and chloroform (1:1). The chloroform partition was fractionated by size exclusion chromatography applying Sephadex® LH-20 as stationary phase and a solvent mixture of chloroform:methanol 50:50 as mobile phase. Five fractions were obtained, and the fraction containing enterocin was purified by HPLC.
A Shimadzu LC system was used, equipped with a LC-20AT pump, SPD-M20A diode array detector, a SIL-20AC HT auto sampler, and a FRC-10A fraction collector. The LC time program consisted on a gradient of methanol 15%/water 85% to methanol 60%/water 40% in 8 min, then increased from methanol 60%/water 40% to methanol 100% in 1 min, and held for 3 min. The column used was a Phenomenex Onyx monolithic column, 100 × 4.6 mm. The flow rate used was 3 mL/min. Deoxyenterocin eluted at 2.45 min and was collected in fractions 3 to 7, while enterocin, eluted at 3.70 min and was collected in fractions 9 to 11.
Conclusions
We have demonstrated a rapid and efficient structure elucidation protocol for U-13C labeled natural products. The protocol we propose consists of 1H decoupled 13C–13C COSY optimized for shortand long-range couplings and CT-HSQC optimized for use with natural products and organic small molecules. We developed a theoretical framework and have demonstrated the experimental verification of the techniques for expanding the scope of CT-HSQC experiment from narrow amino acid applications[6] to a protocol that is universally applicable for labeled natural products and organic small molecules. The only trade-off of the universally optimized CT-HSQC is lower F1 resolution, which, should not be a major impediment to the use of the protocol for structure elucidation because of the availability of high resolution 13C information from 1D 13C and 2D 13C–13C COSY data.
Supplementary Material
Acknowledgements
This work was supported in part by the NIH, grant GM092009 (T.S.B.) and grant GM107557 (T.S.B.)
Footnotes
Supporting information
Additional supporting information may be found in the online version of this article at the publisher’s web site.
References
- [1].a) Reynolds WF, Mazzola EP. In: Progress in the Chemistry of Organic Natural Products. Kinghorn AD, Faul H, Kobayashi J, editors. Vol. 100. Springer International Publishing; Switzerland: 2015. pp. 223–309. [DOI] [PubMed] [Google Scholar]; b) Breton RC, Reynolds WF. Nat. Prod. Rep. 2013;30:501–524. doi: 10.1039/c2np20104f. [DOI] [PubMed] [Google Scholar]
- [2].a) Petkewich R. C&EN. 2007;85(20):56. [Google Scholar]; b) Jarvis L. C&EN. 2012;90(8):30. [Google Scholar]
- [3].Aue WP, Bartholdi E, Ernst RR. J. Chem. Phys. 1976;64:2229–2246. [Google Scholar]
- [4].Martin GE, Zekter AS. VCH Publishers, Inc.; New York: 1988. p. 59. [Google Scholar]
- [5].Bax A, Freeman R. J. Magn. Reson. 1981;44:542–561. [Google Scholar]
- [6].Vuister G, Bax A. J. Magn. Reson. 1992;98:428–435. [Google Scholar]
- [7].Miyairi N, Sakai HI, Konomi T, Imanaka H. J. Antibiot. 1976;29:227–235. doi: 10.7164/antibiotics.29.227. [DOI] [PubMed] [Google Scholar]
- [8].Claridge TDW. High-Resolution NMR Techniques in Organic Chemistry. Pergamon Press; New York: 1999. pp. 229–245. [Google Scholar]
- [9].Castañar L, Parella T. In: Ann. Rep. NMR Spectrosc. Webb GA, editor. Vol. 84. Elsevier; Amsterdam: 2015. pp. 163–232. [Google Scholar]
- [10].Adams RW. eMagRes. 2014;3:1–15. [Google Scholar]
- [11].Zangger K. Prog. Nucl. Magn. Reson. Spectrosc. 2015:86–87. doi: 10.1016/j.pnmrs.2015.02.002. 1–20. [DOI] [PubMed] [Google Scholar]
- [12].Castañar L, Parella T. Magn. Reson. Chem. 2015;53:399–426. doi: 10.1002/mrc.4238. [DOI] [PubMed] [Google Scholar]
- [13].a) Golotvin SS, Vodopianov E, Lefebvre BA, Williams AJ, Spitzer TD. Magn. Reson. Chem. 2006;44:524. doi: 10.1002/mrc.1781. [DOI] [PubMed] [Google Scholar]; b) Golotvin SS, Vodopianov E, Pol R, Lefebvre BA, Williams AJ, Rutkowske RD, Spitzer TD. Magn. Reson. Chem. 2007;45:803–813. doi: 10.1002/mrc.2034. [DOI] [PubMed] [Google Scholar]; c) Elyashberg ME, Williams AJ, Martin GE. In: Prog. NMR Spectrosc. Feeney J, Sutcliff L, editors. Vol. 53. Pergammon, Oxford; 2008. pp. 1–104. [Google Scholar]
- [14].a) Williamson RT, Buevich AV, Martin GE. Org. Lett. 2012;14:5098–5101. doi: 10.1021/ol302366s. [DOI] [PubMed] [Google Scholar]; b) Sauri J, Parella T, Williamson RT, Martin GE. Magn. Reson. Chem. 2015 doi: 10.1002/mrc.4322. in press: DOI: 10.1002/mrc4322. [DOI] [PubMed] [Google Scholar]
- [15].Foroozandeh M, Giraudeau P, Jeannerat D. Magn. Reson. Chem. 2013;51:808–814. doi: 10.1002/mrc.4019. [DOI] [PubMed] [Google Scholar]
- [16].Reibarkh M, Williamson RT, Martin GE, Bermel W. J. Magn. Reson. 2013;236:126–133. doi: 10.1016/j.jmr.2013.07.016. [DOI] [PubMed] [Google Scholar]
- [17].Krivdin LB, Della EW. In: Prog. NMR Spectrosc. Feeney J, Sutcliff M, editors. Vol. 23. Pergammon, Oxford; 1991. pp. 301–610. [Google Scholar]
- [18].Wray V. Prog. Nucl. Magn. Reson. Spectrosc. 1979;13:177–236. [Google Scholar]
- [19].Marshall JL. Carbon-Carbon and Carbon-Proton NMR Couplings: Applications to Organic Stereochemical and Conformational Analysis. VCH; Deerfield Beach, FL: 1983. pp. 65–199. [Google Scholar]
- [20].Kamieńska-Trela K. In: Ann. Rep. NMR Spectrosc. Webb GA, editor. Vol. 30. Academic Press; New York: 1995. pp. 131–230. [Google Scholar]
- [21].Martin GE, Reibarkh M, Buevich AV, Blinov KA, Williamson RT. eMagRes. 2014;3:215–234. [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.




