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Abstract

We review the development of electronic structure methods for the calculation of nuclear magnetic resonance (NMR) properties in condensed matter over the last years. The key element is the extension of well-established approaches for the calculation of magnetic linear response to extended systems which are described under periodic boundary conditions. So far, two implementations have emerged which enable the calculation of NMR parameters within density functional theory in a pseudopotential plane wave scheme. We present the theoretical basis of the methods, further recent developments and a variety of selected applications. These applications are accompanied by comparisons with solid-state NMR experiments, exhibiting the strong impact of the symbiotic combination of high-level ab-initio calculations with experimental research.