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One of the most fundamental limitations of a muon-spin relaxation experimentcan be the lack of knowledge of the implantation site of the muon and theuncertainty about the muon's perturbation of its host. Here we review some ofthe work done on the `muon site problem' in the solid state and highlight somerecent applications of electronic structure calculations that have successfullycharacterized the quantum states of muons in a number of insulating compoundscontaining fluorine, in a number of pnictide superconductors, and in ZnO.

Playing quantum hide-and-seek with the muon: localizing muon stopping sites