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We report single crystal synthesis, specific heat and resistivity measurements and electronic structure calculations for BaCrAs. This material is a metal with itinerant antiferromagnetism, similar to the parent phases of Fe-based high temperature superconductors, but differs in magnetic order. Comparison of bare band structure density of states and the low temperature specific heat implies a mass renormalization of 2. BaCrAs shows stronger transition metal - pnictogen covalency than the Fe compounds, and in this respect is more similar to BaMnAs. This provides an explanation for the observation that Ni and Co doping is effective in the Fe-based superconductors, but Cr or Mn doping is not.

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