Patent ID: 6472870
Filing Date: 2002-10-29
Classification: G01R

Abstract:
The method of exactly specifying a plurality of steps in a nuclear magnetic resonance pulse sequence in relation to a sample containing a coupled spin system comprising at least a first group and a second group of nuclear spins,said first group (I) comprising an integer number m of nuclei, said second group (S) comprising an integer number n of nuclei, said first group (I) being coupled to said second group (S), each one of said plurality of steps being a period of time comprising the application of radiofrequency energy of constant amplitude, phase and frequency, said pulse sequence comprising at least one first radiofrequency pulse applied to the S spins and at least one second radiofrequency pulse applied to the I spins, said method comprising: a) choosing a set of basis operators that in linear combination exactly represent the density operator of said coupled spin system; b) solving said density operator of said coupled spin system to obtain exact analytical solutions for the interconversion of said basis operators; and c) using at least two of said analytical solutions to calculate the magnitude of at least one of said basis operators at the termination of each of said plurality of steps.