An NMR pulse sequence was designed to accurately measure the diffusion rates of intermolecular zero-quantum coherences (ZQCs) and double-quantum coherences (DQCs) in two-component spin systems. The Gaussian phase distribution approximation was employed to describe the behavior of intermolecular ZQCs and DQCs as they underwent unrestricted isotropic diffusion. Our experimental and theoretical results demonstrate that intermolecular ZQCs and DQCs evolve with the same diffusion rates. Uncorrelated phases between individual spins on different olecules in intermolecular ZQCs and DQCs are suggested as the cause for their unconventional diffusion behavior. The differences in diffusion rates between inter- and intramolecular ZQCs or DQCs are explained.

Optimal RF flip angles of the NMR CRAZED pulse sequence for multiple spin-echoes (MSEs) and intermolecular multiple quantum coherences (iMQCs) of different orders were investigated theoretically and experimentally. An an-alytical expression for the dependence of signal intensities on RF pulse flip angles was derived for the cases when higher-order expansion terms of Bessel functions can be neglected from a combination of dipolar demagnetizing field treatment and product operator formalism. Theoretical predictions for both the relative signal intensities and the optimal flip angles at which the signal intensities are maximized are found to be in excellent agreement with experimental re-sults.

A selective 2D intermolecular zero-quantum coherences pulse sequence, SEL-HOMOGENIZED sequence, was developed for high-resolution NMR spectra in inhomogeneous fields. The sequence designed to effectively suppress strong solvent signals and other trivial signals can greatly decrease the t1 noise artifacts. In the homogeneous-like 1D spectrum extracted from the 2D data, chemical shifts, coupling constants, multiplicity patterns, and relative peak areas are almost independent of the magnetic field inhomogeneity. Compared to the HOMOGENIZED sequence, the new sequence provides a total sensitivity enhancement of two times. It was also demonstrated that the theoretical predictions were in excellent agreement with the experimental results.

The behaviors of molecular self-diffusion were simulated in complex spin systems with both intra-molecular scalar couplings and inter-molecular dipolar couplings in liquid nuclear magnetic resonance (NMR). The simulation algorithm was based on a combination of the non-linear Bloch equations, product operator matrix, and finite difference method. The simulated results reveal different diffusion behaviors of inter-and intra-molecular multiple-quantum coherences, coincident with theoretical predictions and experimental measurements. Compared with the Monte Carlo method, the finite difference method is more precise and efficient for simulating diffusion behaviors of multiple-quantum coherences.

A novel MRI method based on the intermolecular double-quantum coherence (DQC) for soft tissues is described. DQC images of human brain were obtained for the first time on a whole-body 1.5 T scanner. The combination of quantum and classical formalisms was used to characterize multiple-quantum coherences, and to aid in the design of a DQC imaging sequence. The theoretical analysis suggests that signals from the intermolecular DQCs have higher sensitivity than those from the zeroquantum coherence (ZQC) for human brain, and the sensitivity increases with increased field strength. The DQC signal may provide a new form of contrast for MRI.