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Concatenated Composite Pulses Applied to Liquid-State Nuclear Magnetic Resonance Spectroscopy. Sci Rep 2020; 10:2126. [PMID: 32034182 PMCID: PMC7005697 DOI: 10.1038/s41598-020-58823-9] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/12/2019] [Accepted: 01/20/2020] [Indexed: 11/28/2022] Open
Abstract
The error-robust and short composite operations named ConCatenated Composite Pulses (CCCPs), developed as high-precision unitary operations in quantum information processing (QIP), are derived from composite pulses widely employed in nuclear magnetic resonance (NMR). CCCPs simultaneously compensate for two types of systematic errors, which was not possible with the known composite pulses in NMR. Our experiments demonstrate that CCCPs are powerful and versatile tools not only in QIP but also in NMR.
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Mananga ES, Hu B. Controlling the Dynamics of Quadrupolar Spin-1 Nuclei by Means of Average Hamiltonian Theory When Irradiated with Modified Composite Quadrupolar Echo Pulse Sequences. J Phys Chem A 2016; 120:8657-8679. [PMID: 27740757 DOI: 10.1021/acs.jpca.6b06595] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The importance of the average Hamiltonian theory and its antecedent the Magnus expansion are discussed. The investigation of its convergence in different situations is very important. In this paper, we introduced a well-established approach to minimize the zeroth-order average Hamiltonian for modified composite pulse sequence in quadrupolar spectroscopy of spin-1. We designed two modified composite pulse sequences constructed by modifying the timing sequence in the original composite pulse sequences.17 We tested various configurations of times associated with the free evolution of the spin system in the modified composite pulses. We found that by decreasing the time delays between the pulses associated with the free evolution of spin system, the line shapes become increasingly better until we obtained the new modified composite pulses showing improvement of the signal compared to the original composite pulse sequences.17 This promising work is expected to play an important role not only for recording high resolution spectra of amino acids, pharmaceutical samples, and peptides but also for probing structural and dynamic information in biomolecules. The generality of the present theoretical scheme points to potential applications in solid-state NMR, to problems in chemical physics, quantum mechanics and theoretical developments, chemistry, and physical chemistry, and in interdisciplinary research areas whenever they include spin dynamics approach.
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Affiliation(s)
- Eugene Stephane Mananga
- The Graduate Center, Physics, The City University of New York , 365 Fifth Avenue, New York, New York 10016, United States.,Department of Engineering, Physics, and Technology, The City University of New York, BCC , 2155 University Avenue, CPH 118, New York, New York 10453, United States.,Department of Applied Physics, New York University , 6 Metrotech Center, New York, New York 11201, United States
| | - Bingwen Hu
- Physics Department and Shanghai Key Laboratory of Magnetic Resonance, East China Normal University , Shanghai 20062, China
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Shen M, Roopchand R, Mananga ES, Amoureux JP, Chen Q, Boutis GS, Hu B. Revisiting NMR composite pulses for broadband (2)H excitation. SOLID STATE NUCLEAR MAGNETIC RESONANCE 2015; 66-67:45-48. [PMID: 25583576 PMCID: PMC4375013 DOI: 10.1016/j.ssnmr.2014.12.004] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/30/2014] [Revised: 12/02/2014] [Accepted: 12/10/2014] [Indexed: 06/04/2023]
Abstract
Quadrupolar echo NMR spectroscopy of static solids often requires RF excitation that covers spectral widths exceeding 100 kHz, which is difficult to obtain due to instrumental limitations. In this work we revisit four well-known composite pulses (COM-I, II, III and IV) for broadband excitation in deuterium quadrupolar echo spectroscopy. These composite pulses are combined with several phase cycling schemes that were previously shown to decrease finite pulse width distortions in deuterium solid-echo experiments performed with two single pulses. The simulations and experiments show that COM-II and IV composite pulses combined with an 8-step phase cycling aid in achieving broadband excitation with limited pulse width distortions.
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Affiliation(s)
- Ming Shen
- Physics Department & Shanghai Key Laboratory of Magnetic Resonance, East China Normal University, Shanghai 200062, China; UCCS, University Lille North of France, Villeneuve d׳Ascq 59652, France
| | - Rabia Roopchand
- Department of Physics, Hunter College, New York, NY 10065, USA
| | - Eugene S Mananga
- Center for Advanced Radiological Sciences, Division of Nuclear Medicine and Molecular Imaging Physics, Department of Radiology, Harvard Medical School and Massachusetts General Hospital, 55 Fruit Street, Boston, MA 02114, USA; Department of Physics and Technology, The City University of New York, 2155 University Avenue, CPH 118, Bronx, New York, NY 10453, USA.
| | - Jean-Paul Amoureux
- Physics Department & Shanghai Key Laboratory of Magnetic Resonance, East China Normal University, Shanghai 200062, China; UCCS, University Lille North of France, Villeneuve d׳Ascq 59652, France
| | - Qun Chen
- Physics Department & Shanghai Key Laboratory of Magnetic Resonance, East China Normal University, Shanghai 200062, China
| | - Gregory S Boutis
- Physics Department, Brooklyn College, 2900 Bedford Avenue, Brooklyn, NY 11210, USA.
| | - Bingwen Hu
- Physics Department & Shanghai Key Laboratory of Magnetic Resonance, East China Normal University, Shanghai 200062, China.
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Mananga ES, Roopchand R, Rumala YS, Boutis GS. On the application of magic echo cycles for quadrupolar echo spectroscopy of spin-1 nuclei. JOURNAL OF MAGNETIC RESONANCE (SAN DIEGO, CALIF. : 1997) 2007; 185:28-37. [PMID: 17140824 DOI: 10.1016/j.jmr.2006.10.016] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/24/2006] [Revised: 09/19/2006] [Accepted: 10/31/2006] [Indexed: 05/12/2023]
Abstract
Magic echo cycles are introduced for performing quadrupolar echo spectroscopy of spin-1 nuclei. An analysis is performed via average Hamiltonian theory showing that the evolution under chemical shift or static field inhomogeneity can be refocused simultaneously with the quadrupolar interaction using these cycles. Due to the higher convergence in the Magnus expansion, with sufficient RF power, magic echo based quadrupolar echo spectroscopy outperforms the conventional two pulse quadrupolar echo in signal to noise. Experiments highlighting a signal to noise enhancement over the entire bandwidth of the quadrupolar pattern of a powdered sample of deuterated polyethelene are shown.
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Affiliation(s)
- E S Mananga
- York College, The City University of New York, Department of Natural Sciences, Physics, 94-20 Guy R. Brewer Boulevard, Jamaica, NY 11451, USA
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Rudakov TN, Mikhaltsevitch VT, Flexman JH. Spin-echoes in nitrogen-14 quadrupolar spin-system with axially symmetric electric field gradient tensor. SOLID STATE NUCLEAR MAGNETIC RESONANCE 2004; 25:112-118. [PMID: 14698395 DOI: 10.1016/j.ssnmr.2003.03.004] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
The behaviour of the magnetisation in the spin-1 system with the axial symmetry of the electric field gradient (EFG) tensor was analysed theoretically. The behaviour of the NQR signals in hexamethylenetetramine (C6H12N4) was also studied experimentally using the pulse NQR technique and sensitive equipment. It was shown that the axial symmetry of the EFG in a sample could not be the reason why spin-echo signals were not observed in conventional pulse experiments for the same type of sample. A very short spin-spin relaxation time T2 seems to be the reason of that. The signal-to-noise ratio was sufficient for measuring T2 in C6H12N4, which had not been reported earlier. Experimental results of applying certain pulse sequences to the 14N NQR in a sample are also presented.
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Affiliation(s)
- T N Rudakov
- QR Sciences Ltd, Research Division, Cannington WA 6107, Australia.
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Gullion T. Measuring (13)C-(2)D dipolar couplings with a universal REDOR dephasing curve. JOURNAL OF MAGNETIC RESONANCE (SAN DIEGO, CALIF. : 1997) 2000; 146:220-222. [PMID: 10968975 DOI: 10.1006/jmre.2000.2164] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Abstract
A (13)C-observe REDOR experiment is described which allows (13)C-(2)D dipolar couplings to be obtained by a universal dipolar dephasing curve. Previous (13)C-observe REDOR experiments on (13)C-(2)D spin pairs generally relied on numerical simulations to obtain the dipolar coupling. The REDOR experiment described in this article is based on a deuterium composite pulse, and the data analysis eliminates the need for numerical simulations and is the same as the traditional REDOR analysis performed on pairs of spin-12 nuclei. Copyright 2000 Academic Press.
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Affiliation(s)
- T Gullion
- Department of Chemistry, West Virginia University, Morgantown, West Virginia, 26506, USA
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Kristensen J, Hoatson G, Vold R. Motional effects on optimum coherence transfer in MAS NMR spectroscopy. Chem Phys 2000. [DOI: 10.1016/s0301-0104(99)00358-4] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Habot S, Lu D, Tagg NJ, Gall GR, Siminovitch DJ. Time symmetry: an application to shaped pulse excitation of spin-1 systems. SOLID STATE NUCLEAR MAGNETIC RESONANCE 1998; 10:137-150. [PMID: 9550342 DOI: 10.1016/s0926-2040(97)00080-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
Abstract
The role of time symmetry in the design of amplitude-modulated (shaped) pulses for spin-1 excitation is examined. The quaternion calculus is used to calculate the quaternion elements (Euler-Rodrigues parameters) of each shaped pulse. In this manner, it is shown how the simplicity and compactness of the Euler-Rodrigues parametrization can be used to significantly expedite a computer search for optimal time-symmetric shaped pulses. Theoretical and experimental tests of a new class of symmetric quadrupole-shaped (SQUASH) pulses identified by this procedure show a significant improvement in both excitation bandwidth and efficiency in comparison to the time-asymmetric QUASH shaped pulse previously identified.
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Affiliation(s)
- S Habot
- Department of Physics, The University of Lethbridge, AB, Canada
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Thursfield A, Anderson MW. H, 2H, and 13C Solid-State NMR Studies of Methanol Adsorbed on a Series of Acidic Microporous Zeotype Materials. ACTA ACUST UNITED AC 1996. [DOI: 10.1021/jp9530919] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- A. Thursfield
- University of Manchester Institute of Science and Technology, Sackville Street, P.O. Box 88, Manchester M60 1QD, U.K
| | - M. W. Anderson
- University of Manchester Institute of Science and Technology, Sackville Street, P.O. Box 88, Manchester M60 1QD, U.K
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Chr. Nielsen N, Bildsøe H, Jakobsen HJ. RF field inhomogeneity in a MAS probe evaluated by MAS nutation NMR of quadrupolar nuclei. ACTA ACUST UNITED AC 1992. [DOI: 10.1016/0022-2364(92)90022-y] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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Raleigh D, Olejniczak E, Griffin R. Broadband pulses for excitation and inversion in I = 1 systems. ACTA ACUST UNITED AC 1989. [DOI: 10.1016/0022-2364(89)90081-4] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Molecular Mobility of Benzene and p-Xylene in Mfi Type Zeolites. ACTA ACUST UNITED AC 1989. [DOI: 10.1016/s0167-2991(08)61006-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Cho H, Pines A. Iterative maps for broadband excitation of transverse coherence in two level systems. J Chem Phys 1987. [DOI: 10.1063/1.452405] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Greenfield M, Ronemus A, Vold R, Vold R, Ellis P, Raidy T. Deuterium quadrupole-echo NMR spectroscopy. III. Practical aspects of lineshape calculations for multiaxis rotational processes. ACTA ACUST UNITED AC 1987. [DOI: 10.1016/0022-2364(87)90177-6] [Citation(s) in RCA: 30] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Ronemus AD, Vold RL, Vold RR. Deuterium quadrupole echo NMR spectroscopy II. Artifact suppression. ACTA ACUST UNITED AC 1986. [DOI: 10.1016/0022-2364(86)90130-7] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Barbara TM, Greenfield MS, Vold RL, Vold RR. Deuterium quadrupole echo NMR spectroscopy. I. Effects of chemical exchange during single and composite pulses. ACTA ACUST UNITED AC 1986. [DOI: 10.1016/0022-2364(86)90082-x] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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