1
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Tobias TJ, Moraes TB, Colnago LA. Establishing optimal parameters to mitigate the heating effects caused by CPMAS sequence in 13C solid-state NMR studies of cocoa butter and other fat samples. Food Res Int 2025; 204:115944. [PMID: 39986788 DOI: 10.1016/j.foodres.2025.115944] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/10/2024] [Revised: 02/04/2025] [Accepted: 02/04/2025] [Indexed: 02/24/2025]
Abstract
The physical and chemical properties of solid triacylglycerols (fats) have been investigated through the use of 13C solid-state nuclear magnetic resonance (SS-NMR). However, the 13C SS-NMR experiments performed with cross-polarization (CP), magic angle sample spinning (MAS) and high power for 1H decoupling (DEC), known as CPMAS, have the potential to increase sample temperature, which may disrupt the solid-liquid content, crystallization dynamics, and polymorphism of the fat samples. While the heating effects observed in CPMAS experiments have been well documented, they have not yet been studied in fat samples. Accordingly, the present study examines the influence of sample spinning frequencies (SF) and radio frequency irradiation (RFI) due to DEC, on sample heating using cocoa butter (CB), chocolate, and animal fats. The results of the variation in the 1H chemical shift of the water peak in the butter sample indicate that the use of routine CPMAS parameter results in an increase in sample temperature of up to 15 °C. This temperature is sufficient to affect various physicochemical properties of fats, including partial or total melting when the experiments are performed with an air stream at ambient temperature. The results demonstrate that a SF of approximately 3 kHz and a recycle delay exceeding 10 s for a decoupler power of 70 W for 50 ms result in an increase of less than 1 °C in sample temperature in 13C CPMAS experiments. These experimental conditions were successfully employed to study the CB crystallization process, which exhibited the presence of the α form at the beginning of the process and the β form at its conclusion.
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Affiliation(s)
- Thais Juliana Tobias
- Institute of Chemistry of São Carlos, Av. Trabalhador Sao-carlense 400, University of São Paulo (USP), São Carlos 13660-970 SP, Brazil
| | - Tiago Bueno Moraes
- Department of Biosystems Engineering, Luiz de Queiroz College of Agriculture, University of São Paulo (USP), Av. Pádua Dias 11, 13418-900 Piracicaba, SP, Brazil
| | - Luiz Alberto Colnago
- Embrapa Instrumentation, Rua XV de Novembro 1452, São Carlos, SP 13560-970, Brazil.
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2
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Schröder N, Bartalucci E, Wiegand T. Probing Noncovalent Interactions by Fast Magic-Angle Spinning NMR at 100 kHz and More. Chemphyschem 2024; 25:e202400537. [PMID: 39129653 DOI: 10.1002/cphc.202400537] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/08/2024] [Revised: 06/19/2024] [Indexed: 08/13/2024]
Abstract
Noncovalent interactions are the basis for a large number of chemical and biological molecular-recognition processes, such as those occurring in supramolecular chemistry, catalysis, solid-state reactions in mechanochemistry, protein folding, protein-nucleic acid binding, and biomolecular phase separation processes. In this perspective article, some recent developments in probing noncovalent interactions by proton-detected solid-state Nuclear Magnetic Resonance (NMR) spectroscopy at Magic-Angle Spinning (MAS) frequencies of 100 kHz and more are reviewed. The development of MAS rotors with decreasing outer diameters, combined with the development of superconducting magnets operating at high static magnetic-field strengths up to 28.2 T (1200 MHz proton Larmor frequency) improves resolution and sensitivity in proton-detected solid-state NMR, which is the fundamental requirement for shedding light on noncovalent interactions in solids. The examples reported in this article range from protein-nucleic acid binding in large ATP-fueled motor proteins to a hydrogen-π interaction in a calixarene-lanthanide complex.
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Affiliation(s)
- Nina Schröder
- Institute of Technical and Macromolecular Chemistry, RWTH Aachen University, Worringerweg 2, 52074, Aachen, Germany
| | - Ettore Bartalucci
- Institute of Technical and Macromolecular Chemistry, RWTH Aachen University, Worringerweg 2, 52074, Aachen, Germany
- Max Planck Institute for Chemical Energy Conversion, Stiftstr. 34-36, 45470, Mülheim/Ruhr, Germany
| | - Thomas Wiegand
- Institute of Technical and Macromolecular Chemistry, RWTH Aachen University, Worringerweg 2, 52074, Aachen, Germany
- Max Planck Institute for Chemical Energy Conversion, Stiftstr. 34-36, 45470, Mülheim/Ruhr, Germany
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3
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Silva IDA, Bartalucci E, Bolm C, Wiegand T. Opportunities and Challenges in Applying Solid-State NMR Spectroscopy in Organic Mechanochemistry. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2023; 35:e2304092. [PMID: 37407000 DOI: 10.1002/adma.202304092] [Citation(s) in RCA: 8] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/02/2023] [Revised: 06/12/2023] [Accepted: 06/28/2023] [Indexed: 07/07/2023]
Abstract
In recent years it is shown that mechanochemical strategies can be beneficial in directed conversions of organic compounds. Finding new reactions proved difficult, and due to the lack of mechanistic understanding of mechanochemical reaction events, respective efforts have mostly remained empirical. Spectroscopic techniques are crucial in shedding light on these questions. In this overview, the opportunities and challenges of solid-state nuclear magnetic resonance (NMR) spectroscopy in the field of organic mechanochemistry are discussed. After a brief discussion of the basics of high-resolution solid-state NMR under magic-angle spinning (MAS) conditions, seven opportunities for solid-state NMR in the field of organic mechanochemistry are presented, ranging from ex situ approaches to structurally elucidated reaction products obtained by milling to the potential and limitations of in situ solid-state NMR approaches. Particular strengths of solid-state NMR, for instance in differentiating polymorphs, in NMR-crystallographic structure-determination protocols, or in detecting weak noncovalent interactions in molecular-recognition events employing proton-detected solid-state NMR experiments at fast MAS frequencies, are discussed.
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Affiliation(s)
| | - Ettore Bartalucci
- Max Planck Institute for Chemical Energy Conversion, Stiftstr. 34-36, 45470, Mülheim/Ruhr, Germany
- Institute of Technical and Macromolecular Chemistry, RWTH Aachen University, Worringerweg 2, 52074, Aachen, Germany
| | - Carsten Bolm
- Institute of Organic Chemistry, RWTH Aachen University, Landoltweg 1, 52074, Aachen, Germany
| | - Thomas Wiegand
- Max Planck Institute for Chemical Energy Conversion, Stiftstr. 34-36, 45470, Mülheim/Ruhr, Germany
- Institute of Technical and Macromolecular Chemistry, RWTH Aachen University, Worringerweg 2, 52074, Aachen, Germany
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4
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Callon M, Luder D, Malär AA, Wiegand T, Římal V, Lecoq L, Böckmann A, Samoson A, Meier BH. High and fast: NMR protein-proton side-chain assignments at 160 kHz and 1.2 GHz. Chem Sci 2023; 14:10824-10834. [PMID: 37829013 PMCID: PMC10566471 DOI: 10.1039/d3sc03539e] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/10/2023] [Accepted: 09/16/2023] [Indexed: 10/14/2023] Open
Abstract
The NMR spectra of side-chain protons in proteins provide important information, not only about their structure and dynamics, but also about the mechanisms that regulate interactions between macromolecules. However, in the solid-state, these resonances are particularly difficult to resolve, even in relatively small proteins. We show that magic-angle-spinning (MAS) frequencies of 160 kHz, combined with a high magnetic field of 1200 MHz proton Larmor frequency, significantly improve their spectral resolution. We investigate in detail the gain for MAS frequencies between 110 and 160 kHz MAS for a model sample as well as for the hepatitis B viral capsid assembled from 120 core-protein (Cp) dimers. For both systems, we found a significantly improved spectral resolution of the side-chain region in the 1H-13C 2D spectra. The combination of 160 kHz MAS frequency with a magnetic field of 1200 MHz, allowed us to assign 61% of the aliphatic protons of Cp. The side-chain proton assignment opens up new possibilities for structural studies and further characterization of protein-protein or protein-nucleic acid interactions.
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Affiliation(s)
| | | | | | | | - Václav Římal
- Physical Chemistry, ETH Zürich 8093 Zürich Switzerland
| | - Lauriane Lecoq
- Molecular Microbiology and Structural Biochemistry (MMSB) UMR 5086, CNRS, Université de Lyon, Labex Ecofect 7 passage du Vercors 69367 Lyon France
| | - Anja Böckmann
- Molecular Microbiology and Structural Biochemistry (MMSB) UMR 5086, CNRS, Université de Lyon, Labex Ecofect 7 passage du Vercors 69367 Lyon France
| | - Ago Samoson
- Institute of Cybernetics, Spin Design Laboratory, Tallinn University of Technology Tallinn Estonia
| | - Beat H Meier
- Physical Chemistry, ETH Zürich 8093 Zürich Switzerland
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5
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Aguion PI, Marchanka A, Carlomagno T. Nucleic acid-protein interfaces studied by MAS solid-state NMR spectroscopy. J Struct Biol X 2022; 6:100072. [PMID: 36090770 PMCID: PMC9449856 DOI: 10.1016/j.yjsbx.2022.100072] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/16/2022] [Revised: 08/11/2022] [Accepted: 08/15/2022] [Indexed: 11/20/2022] Open
Abstract
Solid-state NMR (ssNMR) has become a well-established technique to study large and insoluble protein assemblies. However, its application to nucleic acid-protein complexes has remained scarce, mainly due to the challenges presented by overlapping nucleic acid signals. In the past decade, several efforts have led to the first structure determination of an RNA molecule by ssNMR. With the establishment of these tools, it has become possible to address the problem of structure determination of nucleic acid-protein complexes by ssNMR. Here we review first and more recent ssNMR methodologies that study nucleic acid-protein interfaces by means of chemical shift and peak intensity perturbations, direct distance measurements and paramagnetic effects. At the end, we review the first structure of an RNA-protein complex that has been determined from ssNMR-derived intermolecular restraints.
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Affiliation(s)
- Philipp Innig Aguion
- Institute for Organic Chemistry and Centre of Biomolecular Drug Research (BMWZ), Leibniz University Hannover, Schneiderberg 38, 30167 Hannover, Germany
| | - Alexander Marchanka
- Institute for Organic Chemistry and Centre of Biomolecular Drug Research (BMWZ), Leibniz University Hannover, Schneiderberg 38, 30167 Hannover, Germany
- Structural and Computational Biology Unit, European Molecular Biology Laboratory, Meyerhofstr. 1, 69117 Heidelberg, Germany
| | - Teresa Carlomagno
- School of Biosciences/College of Life and Enviromental Sciences, Institute of Cancer and Genomic Sciences/College of Medical and Dental Sciences, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
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6
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Le Marchand T, Schubeis T, Bonaccorsi M, Paluch P, Lalli D, Pell AJ, Andreas LB, Jaudzems K, Stanek J, Pintacuda G. 1H-Detected Biomolecular NMR under Fast Magic-Angle Spinning. Chem Rev 2022; 122:9943-10018. [PMID: 35536915 PMCID: PMC9136936 DOI: 10.1021/acs.chemrev.1c00918] [Citation(s) in RCA: 70] [Impact Index Per Article: 23.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/31/2021] [Indexed: 02/08/2023]
Abstract
Since the first pioneering studies on small deuterated peptides dating more than 20 years ago, 1H detection has evolved into the most efficient approach for investigation of biomolecular structure, dynamics, and interactions by solid-state NMR. The development of faster and faster magic-angle spinning (MAS) rates (up to 150 kHz today) at ultrahigh magnetic fields has triggered a real revolution in the field. This new spinning regime reduces the 1H-1H dipolar couplings, so that a direct detection of 1H signals, for long impossible without proton dilution, has become possible at high resolution. The switch from the traditional MAS NMR approaches with 13C and 15N detection to 1H boosts the signal by more than an order of magnitude, accelerating the site-specific analysis and opening the way to more complex immobilized biological systems of higher molecular weight and available in limited amounts. This paper reviews the concepts underlying this recent leap forward in sensitivity and resolution, presents a detailed description of the experimental aspects of acquisition of multidimensional correlation spectra with fast MAS, and summarizes the most successful strategies for the assignment of the resonances and for the elucidation of protein structure and conformational dynamics. It finally outlines the many examples where 1H-detected MAS NMR has contributed to the detailed characterization of a variety of crystalline and noncrystalline biomolecular targets involved in biological processes ranging from catalysis through drug binding, viral infectivity, amyloid fibril formation, to transport across lipid membranes.
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Affiliation(s)
- Tanguy Le Marchand
- Centre
de RMN à Très Hauts Champs de Lyon, UMR 5082 CNRS/ENS
Lyon/Université Claude Bernard Lyon 1, Université de Lyon, 5 rue de la Doua, 69100 Villeurbanne, France
| | - Tobias Schubeis
- Centre
de RMN à Très Hauts Champs de Lyon, UMR 5082 CNRS/ENS
Lyon/Université Claude Bernard Lyon 1, Université de Lyon, 5 rue de la Doua, 69100 Villeurbanne, France
| | - Marta Bonaccorsi
- Centre
de RMN à Très Hauts Champs de Lyon, UMR 5082 CNRS/ENS
Lyon/Université Claude Bernard Lyon 1, Université de Lyon, 5 rue de la Doua, 69100 Villeurbanne, France
- Department
of Biochemistry and Biophysics, Stockholm
University, Svante Arrhenius
väg 16C SE-106 91, Stockholm, Sweden
| | - Piotr Paluch
- Faculty
of Chemistry, University of Warsaw, Pasteura 1, Warsaw 02-093, Poland
| | - Daniela Lalli
- Dipartimento
di Scienze e Innovazione Tecnologica, Università
del Piemonte Orientale “A. Avogadro”, Viale Teresa Michel 11, 15121 Alessandria, Italy
| | - Andrew J. Pell
- Centre
de RMN à Très Hauts Champs de Lyon, UMR 5082 CNRS/ENS
Lyon/Université Claude Bernard Lyon 1, Université de Lyon, 5 rue de la Doua, 69100 Villeurbanne, France
- Department
of Materials and Environmental Chemistry, Arrhenius Laboratory, Stockholm University, Svante Arrhenius väg 16 C, SE-106
91 Stockholm, Sweden
| | - Loren B. Andreas
- Department
for NMR-Based Structural Biology, Max-Planck-Institute
for Multidisciplinary Sciences, Am Fassberg 11, Göttingen 37077, Germany
| | - Kristaps Jaudzems
- Latvian
Institute of Organic Synthesis, Aizkraukles 21, Riga LV-1006 Latvia
- Faculty
of Chemistry, University of Latvia, Jelgavas 1, Riga LV-1004, Latvia
| | - Jan Stanek
- Faculty
of Chemistry, University of Warsaw, Pasteura 1, Warsaw 02-093, Poland
| | - Guido Pintacuda
- Centre
de RMN à Très Hauts Champs de Lyon, UMR 5082 CNRS/ENS
Lyon/Université Claude Bernard Lyon 1, Université de Lyon, 5 rue de la Doua, 69100 Villeurbanne, France
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7
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Římal V, Callon M, Malär A, Cadalbert R, Torosyan A, Wiegand T, Ernst M, Böckmann A, Meier B. Correction of field instabilities in biomolecular solid-state NMR by simultaneous acquisition of a frequency reference. MAGNETIC RESONANCE (GOTTINGEN, GERMANY) 2022; 3:15-26. [PMID: 37905180 PMCID: PMC10539777 DOI: 10.5194/mr-3-15-2022] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/10/2021] [Accepted: 01/26/2022] [Indexed: 11/02/2023]
Abstract
With the advent of faster magic-angle spinning (MAS) and higher magnetic fields, the resolution of biomolecular solid-state nuclear magnetic resonance (NMR) spectra has been continuously increasing. As a direct consequence, the always narrower spectral lines, especially in proton-detected spectroscopy, are also becoming more sensitive to temporal instabilities of the magnetic field in the sample volume. Field drifts in the order of tenths of parts per million occur after probe insertion or temperature change, during cryogen refill, or are intrinsic to the superconducting high-field magnets, particularly in the months after charging. As an alternative to a field-frequency lock based on deuterium solvent resonance rarely available for solid-state NMR, we present a strategy to compensate non-linear field drifts using simultaneous acquisition of a frequency reference (SAFR). It is based on the acquisition of an auxiliary 1D spectrum in each scan of the experiment. Typically, a small-flip-angle pulse is added at the beginning of the pulse sequence. Based on the frequency of the maximum of the solvent signal, the field evolution in time is reconstructed and used to correct the raw data after acquisition, thereby acting in its principle as a digital lock system. The general applicability of our approach is demonstrated on 2D and 3D protein spectra during various situations with a non-linear field drift. SAFR with small-flip-angle pulses causes no significant loss in sensitivity or increase in experimental time in protein spectroscopy. The correction leads to the possibility of recording high-quality spectra in a typical biomolecular experiment even during non-linear field changes in the order of 0.1 ppm h- 1 without the need for hardware solutions, such as stabilizing the temperature of the magnet bore. The improvement of linewidths and peak shapes turns out to be especially important for 1 H-detected spectra under fast MAS, but the method is suitable for the detection of carbon or other nuclei as well.
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Affiliation(s)
- Václav Římal
- Physical Chemistry, ETH Zurich, Zurich, 8093, Switzerland
| | - Morgane Callon
- Physical Chemistry, ETH Zurich, Zurich, 8093, Switzerland
| | | | | | | | - Thomas Wiegand
- Physical Chemistry, ETH Zurich, Zurich, 8093, Switzerland
| | - Matthias Ernst
- Physical Chemistry, ETH Zurich, Zurich, 8093, Switzerland
| | - Anja Böckmann
- Molecular Microbiology and Structural Biochemistry, UMR 5086,
CNRS/Université de Lyon, 69367 Lyon, France
| | - Beat H. Meier
- Physical Chemistry, ETH Zurich, Zurich, 8093, Switzerland
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8
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Malär AA, Sun Q, Zehnder J, Kehr G, Erker G, Wiegand T. Proton-phosphorous connectivities revealed by high-resolution proton-detected solid-state NMR. Phys Chem Chem Phys 2022; 24:7768-7778. [DOI: 10.1039/d2cp00616b] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Proton-detected solid-state NMR enables atomic-level insight in solid-state reactions, for instance in heterogeneous catalysis, which is fundamental for deciphering chemical reaction mechanisms. We herein introduce a phosphorus-31 radiofrequency channel in...
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9
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Malär AA, Wili N, Völker LA, Kozlova MI, Cadalbert R, Däpp A, Weber ME, Zehnder J, Jeschke G, Eckert H, Böckmann A, Klose D, Mulkidjanian AY, Meier BH, Wiegand T. Spectroscopic glimpses of the transition state of ATP hydrolysis trapped in a bacterial DnaB helicase. Nat Commun 2021; 12:5293. [PMID: 34489448 PMCID: PMC8421360 DOI: 10.1038/s41467-021-25599-z] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/24/2021] [Accepted: 08/20/2021] [Indexed: 02/06/2023] Open
Abstract
The ATP hydrolysis transition state of motor proteins is a weakly populated protein state that can be stabilized and investigated by replacing ATP with chemical mimics. We present atomic-level structural and dynamic insights on a state created by ADP aluminum fluoride binding to the bacterial DnaB helicase from Helicobacter pylori. We determined the positioning of the metal ion cofactor within the active site using electron paramagnetic resonance, and identified the protein protons coordinating to the phosphate groups of ADP and DNA using proton-detected 31P,1H solid-state nuclear magnetic resonance spectroscopy at fast magic-angle spinning > 100 kHz, as well as temperature-dependent proton chemical-shift values to prove their engagements in hydrogen bonds. 19F and 27Al MAS NMR spectra reveal a highly mobile, fast-rotating aluminum fluoride unit pointing to the capture of a late ATP hydrolysis transition state in which the phosphoryl unit is already detached from the arginine and lysine fingers.
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Affiliation(s)
| | - Nino Wili
- Physical Chemistry, ETH Zürich, Zürich, Switzerland
| | | | - Maria I Kozlova
- Department of Physics, Osnabrück University, Osnabrück, Germany
| | | | | | | | | | | | - Hellmut Eckert
- Institut für Physikalische Chemie, WWU Münster, Münster, Germany
- Instituto de Física de Sao Carlos, Universidade de Sao Paulo, Sao Carlos, SP, Brazil
| | - Anja Böckmann
- Molecular Microbiology and Structural Biochemistry UMR 5086 CNRS/Université de Lyon, Lyon, France
| | - Daniel Klose
- Physical Chemistry, ETH Zürich, Zürich, Switzerland.
| | - Armen Y Mulkidjanian
- Department of Physics, Osnabrück University, Osnabrück, Germany.
- School of Bioengineering and Bioinformatics and Belozersky Institute of Physico-Chemical Biology, Lomonosov Moscow State University, Moscow, Russia.
| | - Beat H Meier
- Physical Chemistry, ETH Zürich, Zürich, Switzerland.
| | - Thomas Wiegand
- Physical Chemistry, ETH Zürich, Zürich, Switzerland.
- Max-Planck-Institute for Chemical Energy Conversion, Mülheim an der Ruhr, Germany.
- Institute of Technical and Macromolecular Chemistry, RWTH Aachen, Aachen, Germany.
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10
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Chávez M, Wiegand T, Malär A, Meier B, Ernst M. Residual dipolar line width in magic-angle spinning proton solid-state NMR. MAGNETIC RESONANCE (GOTTINGEN, GERMANY) 2021; 2:499-509. [PMID: 37904755 PMCID: PMC10539731 DOI: 10.5194/mr-2-499-2021] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 05/12/2021] [Accepted: 06/24/2021] [Indexed: 11/01/2023]
Abstract
Magic-angle spinning is routinely used to average anisotropic interactions in solid-state nuclear magnetic resonance (NMR). Due to the fact that the homonuclear dipolar Hamiltonian of a strongly coupled spin system does not commute with itself at different time points during the rotation, second-order and higher-order terms lead to a residual dipolar line broadening in the observed resonances. Additional truncation of the residual broadening due to isotropic chemical-shift differences can be observed. We analyze the residual line broadening in coupled proton spin systems based on theoretical calculations of effective Hamiltonians up to third order using Floquet theory and compare these results to numerically obtained effective Hamiltonians in small spin systems. We show that at spinning frequencies beyond 75 kHz, second-order terms dominate the residual line width, leading to a 1 / ω r dependence of the second moment which we use to characterize the line width. However, chemical-shift truncation leads to a partial ω r - 2 dependence of the line width which looks as if third-order effective Hamiltonian terms are contributing significantly. At slower spinning frequencies, cross terms between the chemical shift and the dipolar coupling can contribute in third-order effective Hamiltonians. We show that second-order contributions not only broaden the line, but also lead to a shift of the center of gravity of the line. Experimental data reveal such spinning-frequency-dependent line shifts in proton spectra in model substances that can be explained by line shifts induced by the second-order dipolar Hamiltonian.
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Affiliation(s)
- Matías Chávez
- Physical Chemistry, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Thomas Wiegand
- Physical Chemistry, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Alexander A. Malär
- Physical Chemistry, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Beat H. Meier
- Physical Chemistry, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Matthias Ernst
- Physical Chemistry, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
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