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Mg-codoped Lu3Al5O12:Ce single crystal garnet scintillators were prepared with a wide concentration range 0–3000 ppm of Mg2+. Luminescence and scintillation characteristics were measured revealing the beneficial effect of Mg codoping which consists in stabilization of Ce4+ center. We propose a model explaining the mechanism of material improvement; the stable Ce4+ center provides an additional fast radiative recombination pathway in the scintillation mechanism.