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Vol 47, No 10 (2016)

Article

Detailed Analysis of Manifestations of the Spin Coherence Transfer in EPR Spectra of 14N Nitroxide Free Radicals in Non-Viscous Liquids

Salikhov K.M., Bakirov M.M., Galeev R.T.

Abstract

Manifestations of the spin coherence transfer induced by the exchange and dipole–dipole interactions between spin probes in dilute solutions in the electron paramagnetic resonance (EPR) spectra have been studied. The perturbation theory of manifestations of the spin coherence transfer in the EPR spectra of nitroxide free radicals elaborated by one of the authors Salikhov (Applied Magnetic Resonance 38:237–256, 2010) has been generalized with allowance for the super hyperfine structure of the EPR spectra. For 14N nitroxide radicals, the total EPR spectrum was presented as a sum of three independent components in the case of slow and intermediate spin coherence transfer rates. The shapes of these components were found. The side components of the EPR spectrum contain the absorption and dispersion contributions and, as a result, have the asymmetric (mixed) shapes. These asymmetric components can be presented as J = Jabsorption ± pJdispersion. The p value is found for the arbitrary super hyperfine structure of the spectrum. In the slow and intermediate spin coherence transfer rate regime, the parameter p is independent of the super hyperfine interactions in the nitroxide radicals, but the shapes of Jabsorption and Jdispersion terms depend on the super hyperfine structure of the nitrogen components of the nitroxide EPR spectrum and on the spin coherence transfer rate. It is confirmed theoretically that a good strategy to evaluate the spin coherence transfer rate from the EPR spectra is using the dispersion contribution to the shape of the EPR spectra of nitroxide free radicals. An algorithm is suggested and tested for determining the spin coherence transfer and spin decoherence rates.

Applied Magnetic Resonance. 2016;47(10):1095-1122
pages 1095-1122 views

Determining Uncertainty in NMR T2 Distribution Using Frequentist Method

Zou Y., Xie R., Ding Y., Arad A.

Abstract

Petrophysicists use the T2 distribution from nuclear magnetic resonance (NMR)-logging data inversion to evaluate reservoir. However, low SNR NMR-logging data lead to a great uncertainty of T2 distribution, and therefore, analyzing the uncertainty of T2 distribution has a guiding significance for NMR-logging evaluation. For regularized solution from linear inversion, the mean square error which jointly determined by variance and bias can be used to measure its uncertainty. The variance of regularized T2 distribution can be calculated from the variance of the noise level of measured data. Since the true T2 distribution is unknown, the bias of regularized T2 distribution cannot be accurately calculated. This paper calculated the upper and lower boundaries of the bias of regularized T2 distribution for analyzing the uncertainty of regularized T2 distribution based on the frequentist method, using the NMR echo amplitudes, T2 distribution amplitudes, T2 distribution slopes, and T2 distribution curvatures as prior information to restrict the range of T2 distribution amplitude. The results indicate that as the noise level of measured data increases, the T2 distribution uncertainty increases and the confidence interval of T2 distribution broadens. The confidence interval width of T2 distribution from the norm-smoothing method is narrower than that of from the curvature-smoothing method.

Applied Magnetic Resonance. 2016;47(10):1081-1094
pages 1081-1094 views

Effect of Lanthanide and Cobalt Ions on Electron Spin Relaxation of Tempone in Glassy Water:Glycerol at 20 to 200 K

Aggarwal P., Eaton S.S., Eaton G.R.

Abstract

The enhancement of X-band spin–lattice and spin–spin relaxation rates for the nitroxide tempone (2,2,6,6-tetramethyl-4-oxo-piperidin-1-oxyl) in 1:1 water:glycerol by Dy3+, Er3+, Tm3+ or Co2+ was examined between 20 and 200 K. Nitroxide relaxation rates were measured by two-pulse spin echo and three-pulse inversion recovery. The impact of the rapidly relaxing metal aquo ions on 1/T1 of the nitroxide increases in the order Co2+ ~ Er3+ < Dy3+ < Tm3+. The maximum spin–lattice relaxation enhancement occurs at about 35 K for Dy3+, 40 K for Er3+, and 60 K for Co2+. When the metal ion is bound to the chelator diethylenetriamine pentaacetic acid (DTPA) the maximum enhancements for Dy(DTPA)2− and Er(DTPA)2− shift to about 80 K. The maximum enhancement is proposed to occur when 1/T1 for the metal ion is approximately equal to the resonance frequency for the nitroxide. Interaction with the paramagnetic metal ion causes a much larger fractional change in 1/T1 than for 1/T2. Below about 20 K the enhancement of nitroxide 1/T2 increases, which is attributed to relaxation of the metal ions at rates comparable to the electron–electron dipolar coupling, expressed in frequency units.

Applied Magnetic Resonance. 2016;47(10):1123-1134
pages 1123-1134 views

Compact NMR Spectroscopy with Shift Reagents

Singh K., Blümich B.

Abstract

To simplify a nuclear magnetic resonance (NMR) spectra of the targeted molecules, spin–spin decoupling and selective isotope substitution are two distinct approaches. A third one is to increase the applied magnetic field to increase the frequency dispersion of the chemical shift range. While this is a viable option for NMR spectrometers with superconducting magnets, the new generation of compact NMR spectrometers employs permanent magnets with limited variety in field strengths between one and two Tesla. The low-frequency dispersion at these field strengths gives rise to higher order spectra more frequently than at high field. These low-field spectra can be simplified using lanthanide shift reagents, which form complexes with the substrate molecule and increase the frequency dispersion. In this work, the use of lanthanide shift reagents is demonstrated by means of one-dimensional 1H and 19F as well as two-dimensional 19F-19F COSY experiments using a new-generation compact NMR spectrometer.

Applied Magnetic Resonance. 2016;47(10):1135-1146
pages 1135-1146 views

Design and Optimization of a Four-Channel Received Coil for Vertical-Field MRI

Chen Q., Xu Y., Chang Y., Yang X.

Abstract

Signal-to-noise ratio (SNR) is an important factor in magnetic resonance imaging (MRI), and it strongly depends on the structure of radio frequency (RF) coils. To obtain a high SNR and uniform image in a vertical-field MRI at 0.5 T, a four-channel received coil has been designed and optimized by establishing the relationship between coil geometry and SNR. Then, the most efficient design of coil array is optimized by the Particle Swarm Optimization (PSO) algorithm. After optimization, the coil is manufactured, where the decoupling is implemented with only inductors and operated at the permanent magnet MRI system built in our laboratory. Finally, SNR map with pixel-by-pixel manner is applied to evaluate the imaging quality, which shows the accuracy between simulated and experimental results. Furthermore, a higher SNR and a more homogeneity in the image have been achieved by the optimized coil array. Hence, this optimized design for the phased-array received coil in vertical-field MRI is verified and applicable.

Applied Magnetic Resonance. 2016;47(10):1147-1158
pages 1147-1158 views

Original Paper

Rapid T1T2 Measurement Using Drive Equilibrium Pulse Sequence

Chen W., Xiao L., Zhang Y., Liao G., Du Q., Luo S., Sun Z.

Abstract

In the last decade, multidimensional Laplace nuclear magnetic resonance (NMR) was widely used in laboratory and oil industry. Compared to one-dimensional NMR, multidimensional NMR measurements have advantages in fluid recognition and content calculation, etc. However, the applications are limited due to its long measurement time. The paper presents a rapid T1T2 measurement pulse sequence—drive equilibrium (DE) pulse sequence which can obtain fluid T1T2 distribution down to two one-dimensional measurements and the obtained correlation maps are in good consistency with the results by traditional T1 encoding pulse sequence. It is found that the performance of DE pulse sequence is related to measurement times. If we add measurement times, DE pulse sequence will work better. The sequence can be used in time limit experiments, like downhole fluid analysis and online reaction monitoring.

Applied Magnetic Resonance. 2016;47(10):1159-1169
pages 1159-1169 views

Numeric Calculation of Antiferromagnetic Resonance Frequencies for the Noncollinear Antiferromagnet

Glazkov V., Soldatov T., Krasnikova Y.

Abstract

We present an algorithm for the numeric calculation of antiferromagnetic resonance frequencies for the noncollinear antiferromagnets of general type. This algorithm uses general exchange symmetry approach (Andreev and Marchenko, Sov. Phys. Usp. 130:39, 1980) and is applicable for description of low-energy dynamics of an arbitrary noncollinear spin structure in weak fields. Algorithm is implemented as a MatLab and C\(++\) program codes, available for download. Program codes are tested against some representative analytically solvable cases.

Applied Magnetic Resonance. 2016;47(10):1069-1080
pages 1069-1080 views