Relaxation Compensated Quantitative Analysis In Solid-State NMR

This thesis contains two parts:1) The intensity of CP, in the frame of reciprocity relation, contains different levels of attenuation with different contact time. Combined TORQUE CP (T One Rho Quenching Cross Polarization) and CDP (Cross Depolarization) with a reciprocity relation, we compensate the Tlρeffects of reciprocity relation. As a result, an unobscured CP dynamics (CPTlρQ(t))emerges from the Tlρdamped dynamics and it is perfectly symmetric with respect to the CDP as described by the reciprocity relation. The sum of CPTlρQ and CDP remains a constant value. Along with an enhancement factor of CP and a scaling factor, this method provides a convenient, robust, and quantitative measure of CP spectrum.2) A stepwise relaxation model (SRM) is introduced to explore the relaxation effects in CP and CDP experiments. For a very short time interval, it separates the spin lattice relaxation in the rotating frame (Tlρ) from the process of polarization transfer. Based on this model, a recursive formula for CP and CDP has been derived in order to account for the amount of polarization dissipated to the lattice. The relaxation effects of CDP, according to the SRM, are much smaller than that in CP and they can be safely neglected in the reciprocity relation. Due to uneven compensations over long contact times, a slight overcompensation is observed by the TORQUE CP and explained by the SRM.