There are prominent technical challenges arising from spinning a battery on the order of kilohertz as required by magic angle spinning in order to obtain spectral resolution that are addressed and enable operando solid-state NMR. The operando NMR measurement allows for continuous monitoring of the battery components and of potential metastable states that may exist during…

The LLNL method for optimizing as built optical designs uses insights from perturbed optical system theory and reformulates perturbation of optical performance in terms of double Zernikes, which can be calculated analytically rather than by tracing thousands of rays. A new theory of compensation is enabled by the use of double Zernikes which allows the performance degradation of a perturbed…