The Spin Transition and Susceptibility of NMR Samples in a Time Dependent Longitudinal Field

Yifan Hu, Hong Ma, Jinbo Li, Bin Xu

Department of Electronics and Information Engineering, Wuhan, China.
School of Physics, Huazhong University of Science and Technology, Wuhan, China.

DOI: 10.4236/jmp.2012.311214                

Abstract

To construct pulsed high magnet, with rapid adjustments to large changes in the field strength, it is a mandatory acces-sory to development a special NMR probes to provide a precise real-time map of the magnetic field. In order to do so, it is necessary to understand the variations of the spin transition and susceptibility of NMR samples in a time dependent longitudinal field. This work analyzes the effect on the spin transition by a time dependent longitudinal field. For a 1/2 spin system, we have derived a simple formula for the prediction of the probabilities of occupation of the 1/2 and ?1/2 states in a non-static field. We also calculate the magnetic susceptibility of the water and give an analysis of the effect on the magnetic susceptibility in a time dependent longitudinal field and RF frequency.

Keywords

NMR Probe; Spin Transition; Susceptibility; Time Dependent Longitudinal Field

Conflicts of Interest

The authors declare no conflicts of interest.

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