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Elastic anisotropies obtained by density functional theory (DFT) calculations of four iron carbides exhibiting trigonal prismatic coordination of C by Fe are presented and compared. The elastic anisotropy is considerable for the carbides θ-Fe3C, χ-Fe5C2 and a hypothetical Fe2C with Pbcm symmetry, all with sheet-like arrangement of the trigonal prisms which results in a largely parallel arrangement...
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