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By means of the first-principles calculations, the lattice parameters, electronic structures, phonon dispersions, and mechanical properties of the rare earth metal borocarbide YB2C have been theoretically investigated. The dynamically stability of the layered tetragonal YB2C has been evidenced based on the frozen phonon method. We have found that the covalent bonding between B-2p, C-2p and Y-5d orbitals...