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VZr_BCC_SolidSolution_128atoms_VASP6

We performed density functional theory (DFT) calculations for body-centered-cubic (BCC) structures with 128 lattices sites of solid solution binary alloys vanadium-zirconium (V-Zr). The electronic structures of alloys have been calculated using Vienna Ab initio Simulation Package (VASP). Within this package the DFT approach is used to reduce many-body Schrodinger equation to set of single particle Kohn-Sham (KS) equations. The generalized electronic exchange-correlation functional is described by generalized gradient approximation with the Perdew-Burke-Ernzerhof parametrization. The electron-ion interactions is described by pseudopotentials developed within the plane-wave basis projector augmented-wave (PAW) approach \cite{PAW}. These pseudopotentials are available at the VASP portal (http://cms.mpi.univie.ac.at/vasp/). Our calculations have been run with the pseudopotentials treating s and p semi-core states as valence in case for the elements V and Zr. The electronic densities and potentials are expanded over plane-waves with energy cutoff of 350 eV. 2x2x2 k-mesh and normal precision were used. The alloys were modeled by supercell containing 128 randomly distributed atoms. At initial step the atoms occupy perfect bcc lattice cites. This initial structure was optimized until energy changes less than 1e-6 eV, while forces acting on atoms don't exceed 1e-2 eV/angstrom. The electron-ion interaction is described by PAW pseudopotentials. The calculations have been collected by sampling chemical compositions across the entire compositional range. The chemical compositions have been sampled by progressively changing the number of atoms per constituent by 4. For each chemical composition of binaries and ternaries, the first-principle calculations have been run for 100 randomized arrangements of the constituents on the BCC lattice sites. We collected data for a total of 3,100 randomized atomic structures over 31 chemical compositions.

36 MATERIALS SCIENCE↗

Materials Data on ZrV2 by Materials Project

ZrV2 is Cubic Laves structured and crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr and twelve equivalent V atoms. All Zr–Zr bond lengths are 3.19 Å. All Zr–V bond lengths are 3.05 Å. V is bonded to six equivalent Zr and six equivalent V atoms to form a mixture of edge, corner, and face-sharing VZr6V6 cuboctahedra. All V–V bond lengths are 2.60 Å.

36 MATERIALS SCIENCE↗

Materials Data on Zr3V by Materials Project

Zr3V is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Zr is bonded to eight equivalent Zr and four equivalent V atoms to form distorted ZrZr8V4 cuboctahedra that share corners with four equivalent VZr12 cuboctahedra, corners with fourteen equivalent ZrZr8V4 cuboctahedra, edges with six equivalent VZr12 cuboctahedra, edges with twelve equivalent ZrZr8V4 cuboctahedra, faces with four equivalent VZr12 cuboctahedra, and faces with sixteen equivalent ZrZr8V4 cuboctahedra. There are a spread of Zr–Zr bond distances ranging from 3.05–3.29 Å. There are two shorter (3.03 Å) and two longer (3.17 Å) Zr–V bond lengths. V is bonded to twelve equivalent Zr atoms to form VZr12 cuboctahedra that share corners with six equivalent VZr12 cuboctahedra, corners with twelve equivalent ZrZr8V4 cuboctahedra, edges with eighteen equivalent ZrZr8V4 cuboctahedra, faces with eight equivalent VZr12 cuboctahedra, and faces with twelve equivalent ZrZr8V4 cuboctahedra.

36 MATERIALS SCIENCE↗