Principles of Nuclear Magnetic Resonance in One and Two Dimensions

Abstract

Filtering according to coupling network connectivity 438 8.3.4. Relayed coherence transfer 440 8.3.5. Coherence transfer by an average Hamiltonian in total correlation spectroscopy 444 8.4. Homonuclear two-dimensional multiple-quantum spectroscopy 8.4.1. Excitation and detection of multiple-quantum coherence 8.4.2. Double-quantum spectra of two-spin systems 451 8.4.3. Multiple-quantum spectra of scalar-coupled networks in isotropic phase 8.4.4. Multiple-quantum spectra of dipole-coupled nuclei in anisotropic phase 463 8.4.5. Double-quantum spectra of quadrupolar nuclei with S = 1 in anisotropic phase 465 8.5. Heteronuclear coherence transfer 8.5.1. Sensitivity considerations 8.5.2. Coherence transfer pathways 8.5.3. Heteronuclear two-dimensional correlation spectroscopy in isotropic phase 471 8.5.3.1. Transfer of in-phase magnetization 8.5.3.2. Broadband decoupling 8.5.3.3. Decoupling by refocusing pulses 475 8.5.3.4. Bilinear rotation decoupling 475 8.5.3.5. Editing of heteronuclear correlation spectra 477 8.5.4. Relayed heteronuclear correlation spectroscopy 479 8.5.5. Heteronuclear correlation experiments involving double transfer 482 8.5.6. Heteronuclear correlation in solids 485 9. DYNAMIC PROCESSES STUDIED BY TWO-DIMENSIONAL EXCHANGE SPECTROSCOPY 9.1. Polarization transfer in one-and two-dimensional methods 9.2. Selection of coherence transfer pathways 10.5. Comparison of sensitivity and performance time of various imaging techniques 10.

SIMPSON: A general simulation program for solid-state NMR spectroscopy

“…In many respects this evolution resembles the earlier and still strongly ongoing evolution of multi-dimensional liquidstate NMR spectroscopy [9,10,11]. In both cases state-ofthe-art experiments are constructed in a modular fashion using pulse sequence building blocks accomplishing certain coherence transfers or evolution under specific parts of the internal Hamiltonian.…”

“…We note that the rf Hamiltonian in Eq. (6) in accord with common practice employs the magnitude of the rf nutation frequency with the pulse phases φ i adopting potential dependence on the sign of the gyromagnetic ratio γ i [9,44]. The first and second terms in Eq.…”

Sampling of the NMR time domain along concentric rings

“…The effect of changing the sampling pattern s is ultimately to change the lineshape of each peak and the pattern of artifacts surrounding each peak. In the terminology of linear response theory, S is the point response function of the process, describing the response of the method for an infinitely-sharp point signal [39]. The characteristic S can be determined for any sampling pattern s, either analytically, or by a numerical evaluation in which the FT is computed for a dataset containing the value 1 for the real component of each sampling position [32].…”

“…The characteristic S can be determined for any sampling pattern s, either analytically, or by a numerical evaluation in which the FT is computed for a dataset containing the value 1 for the real component of each sampling position [32]. The concept of the point response was used in the development of FT-NMR [39]. The connection between sampling and artifacts was also discussed during the development of nonuniform sampling methods for NMR [20], and has been reviewed in [40].…”

Spins swing like pendulums do: an exact classical model for TOCSY transfer in systems of three isotropically coupled spins 1/2

“…there is a one-to-one correspondence between the time evolution the two-level system and the dynamics of a spinning top (1). In the context of NMR, a single spin 1/2 in an external magnetic field is a prototype example, where the torque equations are reflected in the well-known Bloch equations (2). The Feynman-Vernon-Helwarth theorem has also helped in the design and interpretation of experiments in other spectroscopic fields, such as laser spectroscopy (3).…”