The time evolution of a spin system in NMR can be represented in simple cases by an analytical equation, which is often better suited to promote physical understanding for teaching as well as for scientific discussion than numerical results. A method is presented that can be used to find analytical equations even for moderately complex problems. This is based on the fact that the coefficients of suitable commutator equation systems can be inserted directly into templates for propagation rules.

Electron spins sense their environment via magnetic interactions. An important contribution stems from nuclear spins in their vicinity. They cause loss of coherence and thus reduce resolution of spectra obtained by experiments on electron spins and the efficiency of transferring electron-spin magentization to other nuclear spins. Here we study how protons in trityl radicals contribute to coherence loss. Such coherence loss is slower in the presence of a strong microwave field.

Electron spin dynamics during microwave irradiation are of increasing interest in electron paramagnetic resonance (EPR) spectroscopy. Here, we show that these dynamics can be probed by modern pulse EPR experiments that use shaped microwave pulses. Combined with spin dynamics simulations, these results provide a starting point for optimizing existing EPR experiments and for developing new pulse sequences.

We believe that, in addition to nontrivial theoretical interest, the proposed work offers experimenters a reliable time interval in which the experimentally measured signal allows a relatively simple interpretation uncomplicated by contributions from three-particle dynamical correlations of having spins nuclei in condensed matter.

Sensitivity is often the limiting factor in ENDOR. Here, we demonstrate how using chirp radiofrequency pulses can improve ENDOR sensitivity up to 3-9-fold, with the strongest increase for broader lines often encountered in disordered solids for nuclei such as nitrogen and metals. The resulting drastic speed-up in acquisition times renders also 2D ENDOR more feasible, as we demonstrate in 2D TRIPLE showing correlations of Cu hyperfine couplings.

The paper investigates the suitability of an existing solution-state NMR spin decoupling sequence for use as a low-power solid-state NMR decoupling sequence under sample spinning. Complications arise from resonance conditions between the spin modulations by the pulse sequence and the sample rotation. We show that the timing of the pulse sequence is the most important criterion to achieve good decoupling. The paper gives recommendations for optimum parameters.

We developed a workflow using FEM simulations to optimize electrochemical NMR (EC-NMR) cell designs by accurately matching B₀ and B₁ field simulations with experimental data. Guidelines for enhanced sensitivity and field homogeneity are given. A B₁ amplification effect in coin cells is described by empirical formula, which has the potential to improve spatial selectivity in future EC-NMR applications.