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High-quality single crystals of LuB12 are grown using the induction zonemelting method. The X-ray data are collected at temperatures 293, 135, 95, 50K. The crystal structure of LuB12 can be refined with record low R-factor inthe cubic Fm-3m symmetry group despite reiterated observations of the cubicsymmetry distortions both in the unit-cell values and in the physicalproperties. A peculiar computing strategy is developed to resolve thiscontradiction. True symmetry of the electron-density distribution in LuB12 isproved to be much lower than cubic as a result, which correlates veryaccurately with anisotropy of transport properties of LuB12.

The lower symmetry electron-density distribution and the charge transport anisotropy in cubic dodecaboride LuB12