Chinese Journal of Magnetic Resonance ›› 2006, Vol. 23 ›› Issue (2): 199-208.

• Articles • Previous Articles     Next Articles

Finite Difference Simulation of Restricted-Diffusion Behaviors of  Multiple-Quantum Coherences BetweenTwo Parallel Plates in Liquid NMR

  

  1. Department of Physics, Xiamen 361005, China
  • Received:2005-09-27 Revised:2005-11-17 Published:2006-06-05 Online:2006-06-05
  • Supported by:

    国家自然科学基金项目(10234070, 10575085), 教育部优秀青年教师资助计划项目.

Abstract:

To understand the properties of restricted diffusion of multiple-quantum coherences (MQCs) between two parallel plates, the restricted diffusion theory of single-quantum coherences (SQCs) was extended to MQCs. The method of finite difference was employed to simulate the NMR signal attenuation due to the restricted diffusion in combination with the product operator matrix and Bloch equations. The results show that, like SQCs, the MQC signal attenuation due to restricted diffusion gives diffraction-like pattern. However, the pulsed-field-gradient intensity required for MQCs to produce same diffraction-like pattern is only 1/|n| of that for SQCs. The small distance between two arbitrary planes can be deduced when the relationship of signal attenuation due to diffusion with different inter-plane distance is obtained. The simulation method used herein can be further extended to study more complicated systems.

Key words: NMR, restricted-diffusion, parallel plates, finite difference, multiple-quantum coherence

CLC Number: