The Spin Transition and Susceptibility of NMR Samples in a Time Dependent Longitudinal Field
- 1 School of Physics, Huazhong University of Science and Technology, Wuhan, China
- 2 Department of Electronics and Information Engineering, Wuhan, China
- 3 School of Physics, Huazhong University of Science and Technology, Wuhan, China
- 4 Department of Electronics and Information Engineering, Wuhan, China
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.
- C. P. Slichter, “Principles of Magnetic Resonance,” Springer, New York, 1996.
- J. Haase and G. V. M. Williams, “NMR and Electronic Inhomogeneity in Cuprate Superconductors,” Current Applied Physics, Vol. 6, No. 3, 2006, 293-295. doi:10.1016/j.cap.2005.11.002
- J. Haase, M. Kozlov, K.H.Muller, et al., “NMR in Pulsed High Magnetic Fields at 1.3 GHz,” Journal of Magnetism and Magnetic Materials, Vol. 290-291, No. 1, 2005, pp. 438-441. doi:10.1016/j.jmmm.2004.11.494
- B. K. Mikhail, H. Jurgen and B. Christoph, “56 T 1H NMR at 2.4 GHz in a Pulsed High-Field Magnet,” Solid State Nuclear Magnetic Resonance, Vol. 28, No. 1, 2005, pp. 64-67. doi:10.1016/j.ssnmr.2005.06.003
- J. Haasea, M. B. Kozlova, A. G. Webbb and B. Buchnera, “2 GHz 1H NMR in Pulsed Magnets,” Solid State Nuclear Magnetic Resonance, Vol. 27, 2005, pp. 206-208.
- K. Kodama, M. Takigawa, et al., “Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2,” Science, Vol. 298, No. 5592, 2002, pp. 395-399. doi:10.1126/science.1075045
- K. Atsushi and I. Shinji, “Ultra-Broadband NMR Probe: Numerical and Experimental Study of Transmission Line NMR Probe,” Journal of Magnetic Resonance, Vol. 162, No. 2, 2003, pp. 284-299. doi:10.1016/S1090-7807(03)00014-4