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Electronic structure and anisotropic chemical bonding in TiNF from ab initio study

Accounting for disorder in anatase titanium nitride fluoride TiNF is done through atoms re-distributions based on geometry optimizations using ultra soft pseudo potentials within density functional theory DFT. The fully geometry relaxed structures are found to keep the body centering of anatase (I4{sub 1}/amd No. 141). The new structural setups are identified with space groups I-4m2 No. 119 and Imm2 No. 44 which obey the 'group to subgroup' relationships with respect to anatase. In the ground state Imm2 structure identified from energy differences, TiNF is found semi-conducting with similar density of states features to anatase TiO{sub 2} and a chemical bonding differentiated between covalent like Ti-N versus ionic like Ti-F. Inter-anion N-F bonding is also identified. - Graphical Abstract: The geometry optimized ground state anatase derived TiNF structure with arrangement of open faceted TiN3F3 distorted octahedra. The insert shows the arrangement of octahedra in anatase TiO{sub 2}. Highlights: Black-Right-Pointing-Pointer Original approach of TiNF structure for addressing the electronic band structure. Black-Right-Pointing-Pointer Based on anatase, two different ordering scheme models with geometry optimization. Black-Right-Pointing-Pointer New structures obeying the group{yields}subgroup relationships with Imm2 ground state from energy. Black-Right-Pointing-Pointer In the ground state TiNF is found semi-conducting with similar density of states to anatase TiO{sub 2}. Black-Right-Pointing-Pointer Chemical bonding differentiated between covalent like Ti-N and ionic Ti-F.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗

Materials Data on TiNF by Materials Project

TiNF crystallizes in the orthorhombic Pmmn space group. The structure is two-dimensional and consists of one TiNF sheet oriented in the (0, 0, 1) direction. Ti4+ is bonded to four equivalent N3- and two equivalent F1- atoms to form a mixture of edge and corner-sharing TiN4F2 octahedra. The corner-sharing octahedral tilt angles are 20°. All Ti–N bond lengths are 2.01 Å. Both Ti–F bond lengths are 2.04 Å. N3- is bonded to four equivalent Ti4+ atoms to form a mixture of distorted edge and corner-sharing NTi4 trigonal pyramids. F1- is bonded in a water-like geometry to two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiNF by Materials Project

TiNF crystallizes in the tetragonal I4_1md space group. The structure is three-dimensional. Ti4+ is bonded to three equivalent N3- and two equivalent F1- atoms to form distorted corner-sharing TiN3F2 trigonal bipyramids. There is one shorter (1.81 Å) and two longer (2.07 Å) Ti–N bond length. Both Ti–F bond lengths are 1.96 Å. N3- is bonded in a 3-coordinate geometry to three equivalent Ti4+ atoms. F1- is bonded in a linear geometry to two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiNF by Materials Project

Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations

36 MATERIALS SCIENCE↗