Methods for the analysis and design of a solid state nuclear magnetic resonance probe

Abstract

Methods for the analysis and design of solid state nuclear magnetic resonance (NMR) probes are presented. These techniques have been applied to a 200 MHz ${(}^1\mathrm{H}$ Larmor frequency) ${}^1{\mathrm{H–}}^{\mathrm{19}}{\mathrm{F–}}^{\mathrm{13}}\mathrm{C}$ cross polarization magic angle spinning probe. Transmission lines have been used throughout the design enabling the production of a highly power efficient probe ${(}^1\mathrm{H-22\%},$ ${}^{19}\mathrm{F-17\%},$ and ${}^{13}\mathrm{C-33\%})$ capable of detecting ${}^{19}\mathrm{F}$ NMR signals while applying proton decoupling fields of 250 kHz. These techniques have proven very useful in designing the probe discussed within the text but are not confined to such a triple resonant design. In fact the techniques are sufficiently general to be useful to all radio frequency design efforts including deuterium wide-line probes and multiresonant high resolution NMR probes. A series of simple but useful design concepts are presented which are used to predict the efficiencies of the design presented.