Muonium (Mu) is widely used as a model for isolated hydrogen in condensed matter, but whether its electronic state is truly equivalent to that of hydrogen remains to be tested with an orbital-sensitive probe. Here we use double electron-muon resonance to determine the electron $g$ values of the paramagnetic Mu center in rutile ${\mathrm{TiO}}_2$ for magnetic fields along [100], [110], and [001] directions. The obtained $g$ values closely follow those of the H-related ${\mathrm{Ti}}^{3+}$ paramagnetic center in both magnitude and anisotropy. This agreement tests the Mu-H correspondence at the level of the Ti $3d$ electronic state and supports a common localized ${\mathrm{Ti}}^{3+}$ electronic core for the two centers.

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• Defects
• Point defects
• Muonium
• Transition metal oxides
• Electron paramagnetic resonance
• Muon spin relaxation & rotation