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.
Cite this paper
Y. Hu, H. Ma, J. Li and B. Xu, "The Spin Transition and Susceptibility of NMR Samples in a Time Dependent Longitudinal Field," Journal of Modern Physics, Vol. 3 No. 11, 2012, pp. 1732-1736. doi: 10.4236/jmp.2012.311214.
 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.
 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.