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Vol 49, No 1 (2018)

Original Paper

Dipolar Relaxation of Multiple Quantum NMR Coherences as a Model of Decoherence of Many-Qubit Coherent Clusters

Bochkin G.A., Fel’dman E.B., Vasil’ev S.G., Volkov V.I.

Abstract

Dipolar relaxation of multiple quantum (MQ) nuclear magnetic resonance (NMR) coherence is investigated on the evolution period of the MQ NMR experiment in chains of 19F nuclei in a single crystal of calcium fluorapatite. The dependence of the relaxation time of the MQ coherence of the second order on the size of the coherent spin cluster formed on the preparation period is obtained. The dipolar relaxation of MQ NMR coherences is considered as a model for the investigation of decoherence of quantum states of many-qubit spin clusters.

Applied Magnetic Resonance. 2018;49(1):25-34
pages 25-34 views

Visualization of Digestion Process Using 19F MRI

Volkov D.V., Gulyaev M.V., Kosenkov A.V., Silachev D.N., Anisimov N.V., Chernyaev A.P., Pirogov Y.A.

Abstract

Tracing parameters of digestion process could help in setting more accurate diagnosis for patients with gastrointestinal diseases. For this purpose, we suggest a new type of food tracer. By soaking liquid perfluorocarbon in dry rodent food, each step of digestion process can be visualized on 19F-magnetic resonance (MR) images. Compared with liquid contrast agents, food is able to fill organs of gastrointestinal tract more tightly and yield properties of digestion process. However, rats, participating in such study, should be set on a water diet before experiment. 19F-MR images are obtained with volume scanning (3D) pulse sequence based on multiple spin echo methodic with minimal time intervals between echoes. Gastrointestinal 19F-magnetic resonance imaging (MRI) visualization is a harmless real-time tracking method which could be easily transferred into clinical practice. Moreover, it does not apply ionizing radiation, so in the combination with reference 1H-MRI this method could become very useful in treatment process assessment.

Applied Magnetic Resonance. 2018;49(1):71-75
pages 71-75 views

Features of Exchange Interaction Between Cr3+ Ions in Compounds [Fe(phen)3][Cr2(OH)(Ac)(nta)2]·6,25H2O and [Fe(bpy)3][Cr2(OH)(Ac)(nta)2]·8H2O

Mingalieva L.V., Galeev R.T., Sukhanov A.A., Voronkova V.K., Budnikova I.K., Novitchi G.

Abstract

Dimers of Cr3+ ions in compounds [Fe(phen)3][Cr2(OH)(Ac)(nta)2]·6,25H2O (I) and [Fe(bpy)3][Cr2(OH)(Ac)(nta)2]·8H2O (II), temperature dependences of the electron paramagnetic resonance (EPR) spectra of which in the range of 300–12 К are characteristic for dimers with strong antiferromagnetic exchange interaction are studied by the EPR method in the X-band. The anisotropy of the spin–spin interaction is estimated from fitting spectra corresponding to the multiplet with S = 2 to model spectra. It is shown that the tensor of the anisotropic spin–spin interaction considerably differs from that of the dipole–dipole contribution. Signals from the multiplet with S = 1 were also separated for the compound II that made it possible to estimate the fine structure parameter of the Cr3+ ion. Features of the variation of the integral intensity of EPR spectra are observed at temperatures below 6 К for I and 7 К for II, which are explained by the decrease in the value of the isotropic exchange between chromium ions in dimers. Only the intensity of spectrum changes and its shape is completely preserved.

Applied Magnetic Resonance. 2018;49(1):61-69
pages 61-69 views

Room-Temperature Level Anticrossing and Cross-Relaxation Spectroscopy of Spin Color Centers in SiC Single Crystals and Nanostructures

Anisimov A.N., Soltamov V.A., Mokhov E.N., Baranov P.G., Astakhov G.V., Dyakonov V.

Abstract

A sharp variation of the near infrared photoluminescence intensity for spin-3/2 color centers in hexagonal (4H-, 6H-) and rhombic (15R-) SiC polytypes in the vicinity of level anticrossing (LAC) and cross-relaxation in an external magnetic field at room temperature are observed. This effect can be used for a purely all-optical sensing of the magnetic field with nanoscale spatial resolution. A distinctive feature of the LAC signal is a weak dependence on the magnetic field direction that allows monitoring of the LAC signals in the nonoriented systems, such as powder materials, without need to determine the nanocrystal orientation in the sensing measurements. Furthermore, an LAC-like signal is also observed for the spin color centers (NV centers) in diamond in low magnetic fields with only marginal dependence on the magnetic field direction. This effect is enabled to detect weak magnetic fields using nanodiamond samples in the form of disordered mixture. In addition, the optically detected magnetic resonance and LAC techniques are suggested to serve as a simple method to determine the local stress in nanodiamonds under ambient conditions.

Applied Magnetic Resonance. 2018;49(1):85-95
pages 85-95 views

Magnetic Resonance of Impurity Spin in Slow Fluctuating Local Field

Dzheparov F.S., Lvov D.V.

Abstract

A basic model of magnetic resonance is considered. The model takes into account external static and orthogonal to it rotating magnetic fields together with fluctuating (local) field directed along the static field. The local field is considered as smooth normal stochastic process. New solutions for longitudinal relaxation are obtained in the region of adiabatic slow fluctuations and nonadiabatic losses are estimated.

Applied Magnetic Resonance. 2018;49(1):77-84
pages 77-84 views

Accelerating MRI Using GROG Gridding Followed by ESPIRiT for Non-Cartesian Trajectories

Aslam I., Najeeb F., Omer H.

Abstract

Parallel imaging plays an important role to reduce data acquisition time in magnetic resonance imaging (MRI). Under-sampled non-Cartesian trajectories accelerate the MRI scan time, but the resulting images may have aliasing artifacts. To remove these artifacts, a variety of methods have been developed within the scope of parallel imaging in the recent past. In this paper, the use of Eigen-vector-based iterative Self-consistent Parallel Imaging Reconstruction Technique (ESPIRiT) along with self-calibrated GRAPPA operator gridding (self-calibrated GROG) on radial k-space data for accelerated MR image reconstruction is presented. The proposed method reconstructs the solution image from non-Cartesian k-space data in two steps: First, the acquired radial data is gridded using self-calibrated GROG and then ESPIRIT is applied on this gridded data to get the un-aliased image. The proposed method is tested on human head data and the short-axis cardiac radial data. The quality of the reconstructed images is evaluated using artifact power (AP), root-mean-square error (RMSE) and peak signal-to-noise ratio (PSNR) at different acceleration factors (AF). The results of the proposed method (GROG followed by ESPIRiT) are compared with GROG followed by pseudo-Cartesian GRAPPA reconstruction approach (conventionally used). The results show that the proposed method provides considerable improvement in the reconstructed images as compared to conventionally used pseudo-Cartesian GRAPPA with GROG, e.g., 87, 67 and 82% improvement in terms of AP for 1.5T, 3T human head and short-axis cardiac radial data, 63, 45 and 57% improvement in terms of RMSE for 1.5T, 3T human head and short-axis cardiac radial data, 11, 7 and 9% improvement in terms of PSNR for 1.5T, 3T human head and short-axis cardiac radial data, respectively, at AF = 4.

Applied Magnetic Resonance. 2018;49(1):107-124
pages 107-124 views

The Effect of Shape and Concentration on Translational Diffusion of Proteins Measured by PFG NMR

Kusova A.M., Sitnitsky A.E., Idiyatullin B.Z., Bakirova D.R., Zuev Y.F.

Abstract

The concentration dependences of self-diffusion coefficient for irregular-shaped fibrinogen, for globular, spheroidal trypsin and α-chymotrypsin were studied by pulsed field gradient nuclear magnetic resonance. The experimental data were analyzed in a view of two known theoretical approaches—the hydrodynamic model of rigid spheres by Tokuyama and Oppenheim and the phenomenological approach based on the frictional formalism of non-equilibrium thermodynamics by Vink. The detailed discussion of their merits and drawbacks is presented. Our results testify that the Vink’s approach is quite universal, providing a satisfactory description of experimental data for proteins of complicated structure and different shape while the model of Tokuyama and Oppenheim is applicable only to proteins of more regular shape.

Applied Magnetic Resonance. 2018;49(1):35-51
pages 35-51 views

Bayesian Modeling of NMR Data: Quantifying Longitudinal Relaxation in Vivo, and in Vitro with a Tissue-Water-Relaxation Mimic (Crosslinked Bovine Serum Albumin)

Meinerz K., Beeman S.C., Duan C., Bretthorst G.L., Garbow J.R., Ackerman J.J.

Abstract

Recently, a number of magnetic resonance imaging protocols have been reported that seek to exploit the effect of dissolved oxygen (O2, paramagnetic) on the longitudinal 1H relaxation of tissue water, thus providing image contrast related to tissue oxygen content. However, tissue water relaxation is dependent on a number of mechanisms and this raises the issue of how best to model the relaxation data. This problem, the model selection problem, occurs in many branches of science and is optimally addressed by Bayesian probability theory. High signal-to-noise, densely sampled, longitudinal 1H relaxation data were acquired from rat brain in vivo and from a cross-linked bovine serum albumin (xBSA) phantom, a sample that recapitulates the relaxation characteristics of tissue water in vivo. Bayesian-based model selection was applied to a cohort of five competing relaxation models: (1) monoexponential, (2) stretched-exponential, (3) biexponential, (4) Gaussian (normal) R1-distribution, and (5) gamma R1-distribution. Bayesian joint analysis of multiple replicate datasets revealed that water relaxation of both the xBSA phantom and in vivo rat brain was best described by a biexponential model, while xBSA relaxation datasets truncated to remove evidence of the fast relaxation component were best modeled as a stretched exponential. In all cases, estimated model parameters were compared to the commonly used monoexponential model. Reducing the sampling density of the relaxation data and adding Gaussian-distributed noise served to simulate cases in which the data are acquisition-time or signal-to-noise restricted, respectively. As expected, reducing either the number of data points or the signal-to-noise increases the uncertainty in estimated parameters and, ultimately, reduces support for more complex relaxation models.

Applied Magnetic Resonance. 2018;49(1):3-24
pages 3-24 views

EPR Study of Sc2SiO5:Nd143 Isotopically Pure Impurity Crystals

Eremina R.M., Tarasov V.F., Konov K.B., Gavrilova T.P., Shestakov A.V., Shustov V.A., Kutovoi S.A., Zavartsev Y.D.

Abstract

The Sc2SiO5 single crystals doped with 0.001 at.% of the 143Nd3+ ion were studied by continuous-wave and pulse electron paramagnetic resonance methods. The g-tensors and hyperfine structure tensors for two magnetically non-equivalent Nd ions were obtained. The spin–spin and spin–lattice relaxation times were measured at 9.82 GHz in the temperature range from 4 to 10 K. It was established that three relaxation processes contribute to the spin–lattice relaxation processes. There are one-phonon spin–phonon interaction, two-phonon Raman interaction and two-phonon Orbach–Aminov relaxation processes. It was established that spin–spin relaxation time is of the same magnitude for neodymium ion doped in Sc2SiO5 and in Y2SiO5.

Applied Magnetic Resonance. 2018;49(1):53-60
pages 53-60 views

Editorial

Editor’s Preface

Salikhov K.M.
Applied Magnetic Resonance. 2018;49(1):1-1
pages 1-1 views

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