Theory of coherent averaging in magnetic resonance using effective Hamiltonians

2020 ◽  
Vol 153 (3) ◽  
pp. 034106 ◽  
Author(s):  
Rajat Garg ◽  
Ramesh Ramachandran
Keyword(s):  
Magnetic Resonance ◽  
Coherent Averaging ◽  
Effective Hamiltonians

Applications of Floquet–Magnus and Fer expansion approaches on rotary-resonance recoupling sequence in solid-state nuclear magnetic resonance

2019 ◽  
Vol 33 (24) ◽  
pp. 1950278
Author(s):  
Eugene Stephane Mananga
Keyword(s):  
Nuclear Magnetic Resonance ◽  
Solid State ◽  
Magnetic Resonance ◽  
Pulse Sequence ◽  
Spin Dynamics ◽  
Magnus Expansion ◽  
Effective Hamiltonians ◽  
Nuclear Magnetic

In this work, we used the Floquet–Magnus expansion (FME) and the Fer expansion (FE) approaches to investigate the spin dynamics during the rotary-resonance recoupling (R3) radiation experiment in solid-state nuclear magnetic resonance (SSNMR). We reformulated the two approaches and calculated their respective effective Hamiltonians and propagators. We compared the two approaches and found that the FME is more appropriate to describe the spin dynamics in the R3 experiment compared to the FE. The equations governing the spin dynamics of the first three orders of the FME look similar to the equations of the FE. Nevertheless, the FME has two additional parameters making the approach more applicable to various situations. This clearly shows that the FME will be more practical for the modifications of the R3 pulse sequence with the major corrections coming from the terms that include the additional parameters, which are not available in the FE. This work is significant and contributes theoretically and numerically in the field of spin dynamics, magnetic resonance and in particular SSNMR.

Coherent Averaging Effects in Magnetic Resonance

1968 ◽  
Vol 175 (2) ◽  
pp. 453-467 ◽  
Author(s):  
U. Haeberlen ◽  
J. S. Waugh
Keyword(s):  
Magnetic Resonance ◽  
Coherent Averaging

An emerging technology: Nuclear magnetic resonance microscopy

1988 ◽  
Vol 46 ◽  
pp. 1000-1001
Author(s):  
M.J. Hennessy ◽  
E. Kwok
Keyword(s):  
Nuclear Magnetic Resonance ◽  
Magnetic Resonance ◽  
Relaxation Times ◽  
Basic Research ◽  
Local Environment ◽  
Magnetic Resonance Images ◽  
Nmr Microscopy ◽  
Mri Scans ◽  
Temperature Relaxation ◽  
Nuclear Magnetic

Much progress in nuclear magnetic resonance microscope has been made in the last few years as a result of improved instrumentation and techniques being made available through basic research in magnetic resonance imaging (MRI) technologies for medicine. Nuclear magnetic resonance (NMR) was first observed in the hydrogen nucleus in water by Bloch, Purcell and Pound over 40 years ago. Today, in medicine, virtually all commercial MRI scans are made of water bound in tissue. This is also true for NMR microscopy, which has focussed mainly on biological applications. The reason water is the favored molecule for NMR is because water is,the most abundant molecule in biology. It is also the most NMR sensitive having the largest nuclear magnetic moment and having reasonable room temperature relaxation times (from 10 ms to 3 sec). The contrast seen in magnetic resonance images is due mostly to distribution of water relaxation times in sample which are extremely sensitive to the local environment.

Functional information from magnetic resonance imaging

1995 ◽  
Vol 53 ◽  
pp. 84-85
Author(s):  
Alan P. Koretsky ◽  
Afonso Costa e Silva ◽  
Yi-Jen Lin
Keyword(s):  
Magnetic Resonance Imaging ◽  
Magnetic Resonance ◽  
High Resolution ◽  
Cancer Biology ◽  
Imaging Modality ◽  
Magnetic Resonance Images ◽  
Great Success ◽  
Functional Information ◽  
Resonance Imaging ◽  
High Resolution Mri

Magnetic resonance imaging (MRI) has become established as an important imaging modality for the clinical management of disease. This is primarily due to the great tissue contrast inherent in magnetic resonance images of normal and diseased organs. Due to the wide availability of high field magnets and the ability to generate large and rapidly switched magnetic field gradients there is growing interest in applying high resolution MRI to obtain microscopic information. This symposium on MRI microscopy highlights new developments that are leading to increased resolution. The application of high resolution MRI to significant problems in developmental biology and cancer biology will illustrate the potential of these techniques.In combination with a growing interest in obtaining high resolution MRI there is also a growing interest in obtaining functional information from MRI. The great success of MRI in clinical applications is due to the inherent contrast obtained from different tissues leading to anatomical information.

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