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Verification of stability and unraveling the electronic and physical properties of bulk and (001)-surfaces of newly synthesized Ti 2 ZnX (X = C, N) MAX phases

MAX phase family has been extended by the addition of late transition metals at the A-site with the expectation of diverse functional properties. Here, we present our systematic density functional investigation on the thermodynamic and phonon stabilities, elastic properties, including elastic constants, elastic moduli and elastic anisotropy of newly synthesized Ti 2 ZnX (X = C, N) phases in comparison with conventional Ti 2 AlX (X = C, N). Due to the smaller size of N as compared to C, the unit cell dimension is reduced when C atoms are replaced by N atoms at the X-site. Furthermore, the Ti 2 ZnC and Ti 2 ZnN are stable at the equilibrium volume of 110.84 Å 3 and 105.70 Å 3 . The thermodynamic, mechanical and dynamical stabilities are validated by estimating the formation energies, elastic constants and phonon dispersions, respectively. The elastic properties of Ti 2 ZnN are less anisotropic as compared to those of Ti 2 ZnC. To understand the thin-film characteristics in Ti 2 ZnX, the surface properties with (001)-terminated slabs are investigated. Both Ti 2 ZnX bulk and (001)-surfaces exhibit metal-like electronic structures. There is a strong covalent bonding between Ti-X and Ti-Zn atoms confirmed by the charge density map and Mulliken population analysis. Additional states are generated at the Fermi level (EF) due to the unusual d-p states hybridization between Ti and Zn atoms. The anisotropy in chemical bonding is confirmed by the cleavage energy difference between Ti-X and Ti-Zn. Here, Ti(X)-001 and Zn-001 terminations are stable surfaces; however, in terms of chemical potentials, Zn-001 termination is the most favourable in Ti 2 ZnX.

36 MATERIALS SCIENCE↗

Materials Data on TiZn3 by Materials Project

TiZn3 is Uranium Silicide structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Ti is bonded to twelve equivalent Zn atoms to form TiZn12 cuboctahedra that share corners with twelve equivalent TiZn12 cuboctahedra, edges with twenty-four equivalent ZnTi4Zn8 cuboctahedra, faces with six equivalent TiZn12 cuboctahedra, and faces with twelve equivalent ZnTi4Zn8 cuboctahedra. All Ti–Zn bond lengths are 2.78 Å. Zn is bonded to four equivalent Ti and eight equivalent Zn atoms to form ZnTi4Zn8 cuboctahedra that share corners with twelve equivalent ZnTi4Zn8 cuboctahedra, edges with eight equivalent TiZn12 cuboctahedra, edges with sixteen equivalent ZnTi4Zn8 cuboctahedra, faces with four equivalent TiZn12 cuboctahedra, and faces with fourteen equivalent ZnTi4Zn8 cuboctahedra. All Zn–Zn bond lengths are 2.78 Å.

36 MATERIALS SCIENCE↗

Materials Data on TiZn16 by Materials Project

TiZn16 is Bergman Structure: Mg32(Al,Zn)49 Bergman-derived structured and crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. Ti is bonded in a 9-coordinate geometry to fifteen Zn atoms. There are a spread of Ti–Zn bond distances ranging from 2.78–2.97 Å. There are seven inequivalent Zn sites. In the first Zn site, Zn is bonded in a 9-coordinate geometry to one Ti and ten Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.75–3.08 Å. In the second Zn site, Zn is bonded to two equivalent Ti and ten Zn atoms to form ZnTi2Zn10 cuboctahedra that share corners with two equivalent ZnTi2Zn10 cuboctahedra and faces with six equivalent ZnZn12 cuboctahedra. There are a spread of Zn–Zn bond distances ranging from 2.61–2.83 Å. In the third Zn site, Zn is bonded in a 9-coordinate geometry to one Ti and twelve Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.52–3.13 Å. In the fourth Zn site, Zn is bonded in a 12-coordinate geometry to one Ti and eleven Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.62–3.17 Å. In the fifth Zn site, Zn is bonded in a 11-coordinate geometry to one Ti and ten Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.55–2.87 Å. In the sixth Zn site, Zn is bonded in a 10-coordinate geometry to one Ti and eleven Zn atoms. There are one shorter (2.55 Å) and one longer (2.67 Å) Zn–Zn bond lengths. In the seventh Zn site, Zn is bonded to twelve Zn atoms to form distorted ZnZn12 cuboctahedra that share edges with three equivalent ZnZn12 cuboctahedra and faces with four ZnTi2Zn10 cuboctahedra. The Zn–Zn bond length is 2.87 Å.

36 MATERIALS SCIENCE↗

Materials Data on TiZn2 by Materials Project

Zn2Ti is Hexagonal Laves structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Ti is bonded in a 12-coordinate geometry to four equivalent Ti and twelve Zn atoms. There are one shorter (2.99 Å) and three longer (3.13 Å) Ti–Ti bond lengths. There are a spread of Ti–Zn bond distances ranging from 2.95–2.99 Å. There are two inequivalent Zn sites. In the first Zn site, Zn is bonded to six equivalent Ti and six equivalent Zn atoms to form a mixture of edge, face, and corner-sharing ZnTi6Zn6 cuboctahedra. All Zn–Zn bond lengths are 2.54 Å. In the second Zn site, Zn is bonded to six equivalent Ti and six Zn atoms to form a mixture of edge, face, and corner-sharing ZnTi6Zn6 cuboctahedra. There are two shorter (2.46 Å) and two longer (2.62 Å) Zn–Zn bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Ti3Zn by Materials Project

Ti3Zn is Uranium Silicide structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Ti is bonded to eight equivalent Ti and four equivalent Zn atoms to form TiTi8Zn4 cuboctahedra that share corners with twelve equivalent TiTi8Zn4 cuboctahedra, edges with eight equivalent ZnTi12 cuboctahedra, edges with sixteen equivalent TiTi8Zn4 cuboctahedra, faces with four equivalent ZnTi12 cuboctahedra, and faces with fourteen equivalent TiTi8Zn4 cuboctahedra. All Ti–Ti bond lengths are 2.84 Å. All Ti–Zn bond lengths are 2.84 Å. Zn is bonded to twelve equivalent Ti atoms to form ZnTi12 cuboctahedra that share corners with twelve equivalent ZnTi12 cuboctahedra, edges with twenty-four equivalent TiTi8Zn4 cuboctahedra, faces with six equivalent ZnTi12 cuboctahedra, and faces with twelve equivalent TiTi8Zn4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on TiZn by Materials Project

ZnTi is Tetraauricupride structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Ti is bonded in a body-centered cubic geometry to eight equivalent Zn atoms. All Ti–Zn bond lengths are 2.73 Å. Zn is bonded in a body-centered cubic geometry to eight equivalent Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti3Zn by Materials Project

Ti3Zn is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded to eight Ti and four equivalent Zn atoms to form TiTi8Zn4 cuboctahedra that share corners with twelve equivalent TiTi8Zn4 cuboctahedra, edges with eight equivalent ZnTi12 cuboctahedra, edges with sixteen TiTi8Zn4 cuboctahedra, faces with four equivalent ZnTi12 cuboctahedra, and faces with fourteen TiTi8Zn4 cuboctahedra. There are four shorter (2.80 Å) and four longer (2.87 Å) Ti–Ti bond lengths. All Ti–Zn bond lengths are 2.87 Å. In the second Ti site, Ti is bonded to eight equivalent Ti and four equivalent Zn atoms to form TiTi8Zn4 cuboctahedra that share corners with four equivalent TiTi8Zn4 cuboctahedra, corners with eight equivalent ZnTi12 cuboctahedra, edges with twenty-four TiTi8Zn4 cuboctahedra, faces with six equivalent ZnTi12 cuboctahedra, and faces with twelve TiTi8Zn4 cuboctahedra. All Ti–Zn bond lengths are 2.80 Å. Zn is bonded to twelve Ti atoms to form ZnTi12 cuboctahedra that share corners with four equivalent ZnTi12 cuboctahedra, corners with eight equivalent TiTi8Zn4 cuboctahedra, edges with eight equivalent ZnTi12 cuboctahedra, edges with sixteen equivalent TiTi8Zn4 cuboctahedra, faces with four equivalent ZnTi12 cuboctahedra, and faces with fourteen TiTi8Zn4 cuboctahedra.

36 MATERIALS SCIENCE↗