Abstract
Nuclear magnetic resonance (NMR) spectroscopy, also known as magnetic resonance spectroscopy, is a preeminent and noninvasive analytical technique that provides detailed information about the structure, dynamics, reaction state, and chemical environment of molecules. The development of NMR spectroscopy has led to the awarding of many Nobel Prizes, and today NMR spectroscopy serves as an important and irreplaceable tool in physics and chemistry. Two-dimensional (2D) NMR is effective at separating resonances which have similar chemical shifts, although the interpretation of 2D spectra can be challenging. A systematic density operator-based derivation will aid the understanding of the quantitative mechanism of 2D NMR spectroscopy and the interpreting of outcomes of 2D NMR experiments. Therefore, in this study, we systematically analyzed and compared the quantitative basis of 2D and 1D NMR. Meanwhile, as a proof of principle, simulations using the FID Appliance software toolkit were performed and interpreted using a brain phantom, a popular model for studying brain metabolites. The scheme shown in this paper will facilitate the understanding of quantitative 2D NMR spectroscopic analyses in chemistry and biology.
Similar content being viewed by others
References
Baltisberger JH, Walder BJ, Keeler EG, Kaseman DC, Sanders KJ, Grandinetti PJ (2012) Communication: phase incremented echo train acquisition in NMR spectroscopy. J Chem Phys 136(21):211104. https://doi.org/10.1063/1.4728105
Bhattacharya A (2010) Chemistry: breaking the billion-hertz barrier. Nat News 463(7281):605–606. https://doi.org/10.1038/463605a
Chen J, De Angelis AA, Mandelshtam VA, Shaka AJ (2003) Progress on the two-dimensional filter diagonalization method. An efficient doubling scheme for two-dimensional constant-time NMR. J Magn Reson 162(1):74–89. https://doi.org/10.1016/S1090-7807(03)00045-4
Ernst RR (1992) Nuclear magnetic resonance Fourier transform spectroscopy (Nobel lecture). Angew Chem Int Ed 31(7):805–823. https://doi.org/10.1002/anie.199208053
Frydman L, Scherf T, Lupulescu A (2002) The acquisition of multidimensional NMR spectra within a single scan. Proc Natl Acad Sci USA 99(25):15858–15862. https://doi.org/10.1073/pnas.252644399
Giraudeau P, Akoka S (2010) A new gradient-controlled method for improving the spectral width of ultrafast 2D NMR experiments. J Magn Reson 205(1):171–176. https://doi.org/10.1016/j.jmr.2010.05.002
Giraudeau P, Guignard N, Hillion E, Baguet E, Akoka S (2007) Optimization of homonuclear 2D NMR for fast quantitative analysis: application to tropine-nortropine mixtures. J Pharm Biomed Anal 43(4):1243–1248. https://doi.org/10.1016/j.jpba.2006.10.028
Giraudeau P, GrS Remaud, Akoka S (2008) Evaluation of ultrafast 2D NMR for quantitative analysis. Anal Chem 81(1):479–484. https://doi.org/10.1021/ac8021168
Giraudeau P, Massou S, Robin Y, Cahoreau E, Portais JC, Akoka S (2011) Ultrafast quantitative 2D NMR: an efficient tool for the measurement of specific isotopic enrichments in complex biological mixtures. Anal Chem 83(8):3112–3119. https://doi.org/10.1021/ac200007p
Guennec AL, Giraudeau P, Caldarelli S (2014) Evaluation of fast 2D NMR for metabolomics. Anal Chem 86(12):5946–5954. https://doi.org/10.1021/ac500966e
Jaravine V, Ibraghimov I, Orekhov VY (2006) Removal of a time barrier for high-resolution multidimensional NMR spectroscopy. Nat Methods 3(8):605–607. https://doi.org/10.1038/nmeth900
Kumar A (2015) Development of two-dimensional NMR. Resonance 20(11):995–1002. https://doi.org/10.1007/s12045-015-0267-3
Kupče Ē, Freeman R (2003) Two-dimensional Hadamard spectroscopy. J Magn Reson 162(2):300–310. https://doi.org/10.1016/S1090-7807(02)00196-9
Kupče E, Nishida T, Freeman R (2003) Hadamard NMR spectroscopy. Prog Nucl Magn Reson Spectrosc 42(3–4):95–122. https://doi.org/10.1002/chin.200409299
Le Guennec A, Tea I, Antheaume I, Martineau E, Charrier B, Pathan M, Akoka S, Giraudeau P (2012) Fast determination of absolute metabolite concentrations by spatially encoded 2D NMR: application to breast cancer cell extracts. Anal Chem 84(24):10831–10837. https://doi.org/10.1021/ac3033504
Lewis IA, Schommer SC, Hodis B, Robb KA, Tonelli M, Westler WM, Sussman MR, Markley JL (2007) Method for determining molar concentrations of metabolites in complex solutions from two-dimensional 1H–13C NMR spectra. Anal Chem 79(24):9385–9390. https://doi.org/10.1021/ac071583z
Lin L, Wei Z, Lin Y, Chen Z (2015) A single-scan method for NMR 2D J-resolved spectroscopy. Chem Commun 51(7):1234–1236. https://doi.org/10.1039/C4CC07751B
Nicholson JK, Connelly J, Lindon JC, Holmes E (2002) Metabonomics: a platform for studying drug toxicity and gene function. Nat Rev Drug Discov 1(2):153. https://doi.org/10.1038/nrd728
Pelupessy P (2003) Adiabatic single scan two-dimensional NMR spectrocopy. J Am Chem Soc 125(40):12345–12350. https://doi.org/10.1021/ja034958g
Schanda P, Van Melckebeke H, Brutscher B (2006) Speeding up three-dimensional protein NMR experiments to a few minutes. J Am Chem Soc 128(28):9042–9043. https://doi.org/10.1021/ja062025p
Takis PG, Schafer H, Spraul M, Luchinat C (2017) Deconvoluting interrelationships between concentrations and chemical shifts in urine provides a powerful analysis tool. Nat Commun 8(1):1662. https://doi.org/10.1038/s41467-017-01587-0
Tal A, Frydman L (2010) Single-scan multidimensional magnetic resonance. Prog Nucl Magn Reson Spectrosc 57(3):241–292. https://doi.org/10.1016/j.pnmrs.2010.04.001
Wei Z, Lin L, Ye Q, Li J, Cai S, Chen Z (2015) Discrete decoding based ultrafast multidimensional nuclear magnetic resonance spectroscopy. J Chem Phys 143(2):024201. https://doi.org/10.1063/1.4926538
Wei Z, Yang J, Chen Y, Chen L, Cao S, Cai S, Lin Y, Chen Z (2016) Ultrafast multidimensional nuclear magnetic resonance technique: a proof of concept based on inverse-k-space for convenient and efficient performance. Appl Phys Lett. https://doi.org/10.1063/1.4926538
Wu J, Lorenzo P, Zhong S, Ali M, Butts CP, Myers EL, Aggarwal VK (2017) Synergy of synthesis, computation and NMR reveals correct baulamycin structures. Nature 547(7664):436–440. https://doi.org/10.1021/acs.biochem.7b00994
Ye Q, Chen L, Qiu W, Lin L, Sun H, Cai S, Wei Z, Chen Z (2017) Accelerating two-dimensional nuclear magnetic resonance correlation spectroscopy via selective coherence transfer. J Chem Phys 146(1):014202. https://doi.org/10.1063/1.4973547
Acknowledgements
This work was supported by the National Natural Science Foundation of China under Grant 11705068, the Natural Science Foundation of Fujian Province of China under Grant 2017J05011, 2016J01674, and the Young-Teacher-Oriented Education and Scientific Research Foundation of Fujian Province of China under Grant JAT160542.
Funding
This work was supported by the National Natural Science Foundation of China under Grant 11705068 (study and collection), the Natural Science Foundation of Fujian Province of China under Grant 2017J05011 (writing), 2016J01674 (writing), and the Young-Teacher-Oriented Education and Scientific Research Foundation of Fujian Province of China under Grant JAT160542 (analysis and interpretation of data).
Author information
Authors and Affiliations
Contributions
FC and SL involved in manuscript writing and revision work. HC took part in manuscript writing, correction, project setup, and management. ZW involved in NMR experiment measurement. HK took part in project setup and management. LC and LL involved in manuscript correction.
Corresponding author
Ethics declarations
Conflict of interest
Fengfang Chen declares that she has no conflict of interest, Shengrong Lai declares that he has no conflict of interest, and Honghao Cai declares that he has no conflict of interest. Zhiliang Wei declares that he has no conflict of interest. Hanping Ke declares that he has no conflict of interest. Lin Chen declares that he has no conflict of interest; Liangjie Lin declares that he has no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Chen, F., Lai, S., Cai, H. et al. Quantitative density operator analysis of correlation spectroscopy NMR experiments. Chem. Pap. 74, 3641–3649 (2020). https://doi.org/10.1007/s11696-020-01197-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11696-020-01197-z