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DOE OSTI2020

Materials Data on Zr2N2O by Materials Project

Zr2ON2 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and three equivalent O2- atoms to form distorted ZrN4O3 pentagonal bipyramids that share corners with six equivalent ZrN6O pentagonal bipyramids, edges with five ZrN4O3 pentagonal bipyramids, and faces with three ZrN4O3 pentagonal bipyramids. There are two shorter (2.30 Å) and two longer (2.32 Å) Zr–N bond lengths. There are two shorter (2.16 Å) and one longer (2.31 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to six N3- and one O2- atom to form a mixture of distorted edge, face, and corner-sharing ZrN6O pentagonal bipyramids. There are a spread of Zr–N bond distances ranging from 2.22–2.45 Å. The Zr–O bond length is 2.40 Å. There are two inequivalent N3- sites. In the first N3- site, N3- is bonded to five Zr4+ atoms to form a mixture of distorted edge and corner-sharing NZr5 square pyramids. In the second N3- site, N3- is bonded in a 5-coordinate geometry to five Zr4+ atoms. O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2N2O by Materials Project

Zr2ON2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two equivalent O2- atoms to form a mixture of corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Zr–N bond distances ranging from 2.09–2.17 Å. Both Zr–O bond lengths are 2.39 Å. In the second Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to four N3- and three equivalent O2- atoms. There are a spread of Zr–N bond distances ranging from 2.18–2.32 Å. There are two shorter (2.22 Å) and one longer (2.50 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to five N3- and two O2- atoms. There are a spread of Zr–N bond distances ranging from 2.13–2.41 Å. There are one shorter (2.24 Å) and one longer (2.73 Å) Zr–O bond lengths. There are three inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with two equivalent OZr6 octahedra, corners with four NZr4 tetrahedra, an edgeedge with one OZr6 octahedra, and an edgeedge with one NZr4 tetrahedra. The corner-sharing octahedral tilt angles are 12°. In the second N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 tetrahedra that share a cornercorner with one OZr6 octahedra, corners with four NZr4 tetrahedra, edges with two equivalent OZr6 octahedra, and edges with two equivalent NZr4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. In the third N3- site, N3- is bonded in a 5-coordinate geometry to five Zr4+ atoms. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the second O2- site, O2- is bonded to six Zr4+ atoms to form distorted OZr6 octahedra that share corners with six NZr4 tetrahedra, edges with two equivalent OZr6 octahedra, and edges with six NZr4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 44–65°. There are a spread of Zr–N bond distances ranging from 2.09–2.30 Å. There are one shorter (2.19 Å) and one longer (2.44 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 42–67°. There are a spread of Zr–N bond distances ranging from 2.11–2.39 Å. There are one shorter (2.11 Å) and one longer (2.32 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 46–67°. There are a spread of Zr–N bond distances ranging from 2.12–2.34 Å. There are one shorter (2.17 Å) and one longer (2.36 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 44–66°. There are a spread of Zr–N bond distances ranging from 2.06–2.27 Å. There are one shorter (2.21 Å) and one longer (2.48 Å) Zr–O bond lengths. In the fifth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 42–65°. There are a spread of Zr–N bond distances ranging from 2.09–2.29 Å. There are one shorter (2.18 Å) and one longer (2.40 Å) Zr–O bond lengths. In the sixth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–68°. There are a spread of Zr–N bond distances ranging from 2.12–2.35 Å. There are one shorter (2.11 Å) and one longer (2.30 Å) Zr–O bond lengths. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 45–68°. There are a spread of Zr–N bond distances ranging from 2.07–2.29 Å. There are one shorter (2.20 Å) and one longer (2.42 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–66°. There are a spread of Zr–N bond distances ranging from 2.11–2.35 Å. There are one shorter (2.16 Å) and one longer (2.35 Å) Zr–O bond lengths. There are eight inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing NZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing NZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing NZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded in a distorted see-saw-like geometry to four Zr4+ atoms. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted corner-sharing NZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing NZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the eighth N3- site, N3- is bonded in a 4-coordinate geometry to four Zr4+ atoms. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Zr–N bond distances ranging from 2.12–2.24 Å. There are one shorter (2.27 Å) and one longer (2.32 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.17 Å) and two longer (2.22 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Zr–N bond distances ranging from 2.10–2.20 Å. There are a spread of Zr–O bond distances ranging from 2.18–2.33 Å. In the fourth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Zr–N bond distances ranging from 2.18–2.28 Å. There are one shorter (2.18 Å) and one longer (2.20 Å) Zr–O bond lengths. In the fifth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.27 Å) and one longer (2.31 Å) Zr–O bond lengths. In the sixth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.14–2.25 Å. There are a spread of Zr–O bond distances ranging from 2.16–2.25 Å. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Zr–N bond distances ranging from 2.12–2.26 Å. There are one shorter (2.20 Å) and one longer (2.26 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.29 Å) and one longer (2.30 Å) Zr–O bond lengths. In the ninth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.24 Å. There are one shorter (2.18 Å) and one longer (2.22 Å) Zr–O bond lengths. In the tenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.27 Å) and one longer (2.30 Å) Zr–O bond lengths. In the eleventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.26 Å) and one longer (2.32 Å) Zr–O bond lengths. In the twelfth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.30 Å. There are one shorter (2.15 Å) and one longer (2.27 Å) Zr–O bond lengths. In the thirteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.16–2.28 Å. The Zr–O bond length is 2.27 Å. In the fourteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Zr–N bond distances ranging from 2.14–2.25 Å. There are one shorter (2.25 Å) and one longer (2.27 Å) Zr–O bond lengths. In the fifteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Zr–N bond distances ranging from 2.16–2.25 Å. The Zr–O bond length is 2.26 Å. In the sixteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.18–2.32 Å. The Zr–O bond length is 2.24 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, edges with two NZr4 tetrahedra, and an edgeedge with one NZr4 trigonal pyramid. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the second O2- site, O2-

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form ZrN3O3 octahedra that share corners with six ZrN2O4 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are one shorter (2.12 Å) and two longer (2.15 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.24–2.27 Å. In the second Zr4+ site, Zr4+ is bonded to two N3- and four O2- atoms to form distorted ZrN2O4 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are one shorter (2.09 Å) and one longer (2.17 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.13–2.23 Å. In the third Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Zr–N bond distances ranging from 2.14–2.19 Å. There are a spread of Zr–O bond distances ranging from 2.18–2.24 Å. In the fourth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN5O octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Zr–N bond distances ranging from 2.13–2.20 Å. There are one shorter (2.31 Å) and one longer (2.38 Å) Zr–O bond lengths. In the fifth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Zr–N bond distances ranging from 2.13–2.31 Å. There are one shorter (2.22 Å) and one longer (2.24 Å) Zr–O bond lengths. In the sixth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form ZrN5O octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN2O4 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Zr–N bond distances ranging from 2.15–2.23 Å. The Zr–O bond length is 2.33 Å. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN2O4 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Zr–N bond distances ranging from 2.13–2.28 Å. There are one shorter (2.24 Å) and one longer (2.27 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN2O4 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.14–2.24 Å. There are one shorter (2.28 Å) and one longer (2.29 Å) Zr–O bond lengths. In the ninth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are two shorter (2.16 Å) and one longer (2.22 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.22 Å. In the tenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN2O4 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.25 Å) and one longer (2.31 Å) Zr–O bond lengths. In the eleventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN2O4 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Zr–N bond distances ranging from 2.12–2.20 Å. There are one shorter (2.25 Å) and one longer (2.33 Å) Zr–O bond lengths. In the twelfth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Zr–N bond distances ranging from 2.16–2.24 Å. The Zr–O bond length is 2.38 Å. In the thirteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Zr–N bond distances ranging from 2.15–2.21 Å. There are one shorter (2.28 Å) and one longer (2.29 Å) Zr–O bond lengths. In the fourteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN2O4 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Zr–N bond distances ranging from 2.14–2.23 Å. There are one shorter (2.24 Å) and one longer (2.33 Å) Zr–O bond lengths. In the fifteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN2O4 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Zr–N bond distances ranging from 2.15–2.27 Å. The Zr–O bond length is 2.26 Å. In the sixteenth Zr4+ site, Zr4+ is bonded to six N3- atoms to form a mixture of distorted edge and corner-sharing ZrN6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Zr–N bond distances ranging from 2.19–2.30 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three NZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with eight NZr4 trigonal pyramids, and edges with four OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with five OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with three NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with three NZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with eight NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with five OZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, edges with two NZr4 tetrahedra, and an edgeedge with one NZr4 trigonal pyramid. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2N2O by Materials Project

Zr2ON2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six N3- atoms to form a mixture of edge and corner-sharing ZrN6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Zr–N bond distances ranging from 2.12–2.57 Å. In the second Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to four N3- and three equivalent O2- atoms. There are a spread of Zr–N bond distances ranging from 2.20–2.65 Å. There are two shorter (2.04 Å) and one longer (2.23 Å) Zr–O bond lengths. There are two inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with two equivalent NZr6 octahedra, corners with four equivalent NZr4 tetrahedra, and edges with five equivalent NZr6 octahedra. The corner-sharing octahedra tilt angles range from 9–13°. In the second N3- site, N3- is bonded to six Zr4+ atoms to form distorted NZr6 octahedra that share corners with two equivalent NZr6 octahedra, corners with two equivalent NZr4 tetrahedra, edges with six equivalent NZr6 octahedra, and edges with five equivalent NZr4 tetrahedra. The corner-sharing octahedral tilt angles are 3°. O2- is bonded in a trigonal non-coplanar geometry to three equivalent Zr4+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2N2O by Materials Project

Zr2ON2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are six inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two equivalent O2- atoms to form ZrN4O2 octahedra that share corners with two equivalent ZrN3O3 octahedra and edges with three ZrN4O2 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Zr–N bond distances ranging from 2.11–2.16 Å. Both Zr–O bond lengths are 2.40 Å. In the second Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing ZrN3O3 octahedra. The corner-sharing octahedral tilt angles are 2°. There are two shorter (2.07 Å) and one longer (2.09 Å) Zr–N bond lengths. There are one shorter (2.20 Å) and two longer (2.45 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to four N3- and three equivalent O2- atoms. There are a spread of Zr–N bond distances ranging from 2.18–2.29 Å. There are two shorter (2.23 Å) and one longer (2.51 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to five N3- and two O2- atoms. There are a spread of Zr–N bond distances ranging from 2.13–2.40 Å. There are one shorter (2.22 Å) and one longer (2.70 Å) Zr–O bond lengths. In the fifth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to five N3- and two equivalent O2- atoms. There are a spread of Zr–N bond distances ranging from 2.13–2.58 Å. Both Zr–O bond lengths are 2.47 Å. In the sixth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to four N3- and three O2- atoms. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are two shorter (2.37 Å) and one longer (2.72 Å) Zr–O bond lengths. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with two equivalent OZr6 octahedra, corners with four NZr4 tetrahedra, an edgeedge with one OZr6 octahedra, and an edgeedge with one NZr4 tetrahedra. The corner-sharing octahedral tilt angles are 11°. In the second N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 tetrahedra that share corners with two equivalent OZr6 octahedra, corners with four NZr4 tetrahedra, an edgeedge with one OZr6 octahedra, and an edgeedge with one NZr4 tetrahedra. The corner-sharing octahedral tilt angles are 18°. In the third N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 tetrahedra that share a cornercorner with one OZr6 octahedra, corners with four NZr4 tetrahedra, edges with two equivalent OZr6 octahedra, and edges with two equivalent NZr4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. In the fourth N3- site, N3- is bonded in a 5-coordinate geometry to five Zr4+ atoms. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 tetrahedra that share a cornercorner with one OZr6 octahedra, corners with four NZr4 tetrahedra, edges with two equivalent OZr6 octahedra, and edges with two equivalent NZr4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. In the sixth N3- site, N3- is bonded in a 4-coordinate geometry to four Zr4+ atoms. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the second O2- site, O2- is bonded in a 5-coordinate geometry to five Zr4+ atoms. In the third O2- site, O2- is bonded to six Zr4+ atoms to form distorted OZr6 octahedra that share corners with six NZr4 tetrahedra, edges with two equivalent OZr6 octahedra, and edges with six NZr4 tetrahedra.

36 MATERIALS SCIENCE↗