We present first-principles calculations of the structural, elastic and electronic properties of the semi-boride Be 2 B and its ternary compounds, using first principles full-potential linearized augmented plane wave calculations with density functional theory in the local density approximation. The basic physical properties, in particular lattice constant, bulk modulus, elastic constants C ij and electronic structure, are calculated and compared with the available experimental data. In order to gain some further information on the mechanical properties, we have also calculated the Young's modulus, Poison's ratio (n), anisotropy factor (A), sound velocities and Debye temperature for Be 2 B, NaBeB, MgBeB and AlBeB. This is the first quantitative theoretical prediction of the elastic properties of these boride compounds, and it still awaits experimental confirmation.
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