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DOE OSTI2020

Materials Data on PrHfO3 by Materials Project

PrHfO3 is Orthorhombic Perovskite structured and crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Pr is bonded in a 4-coordinate geometry to eight O atoms. There are a spread of Pr–O bond distances ranging from 2.43–2.87 Å. Hf is bonded to six O atoms to form corner-sharing HfO6 octahedra. The corner-sharing octahedra tilt angles range from 28–32°. There are a spread of Hf–O bond distances ranging from 2.10–2.16 Å. There are two inequivalent O sites. In the first O site, O is bonded to two equivalent Pr and two equivalent Hf atoms to form distorted corner-sharing OPr2Hf2 tetrahedra. In the second O site, O is bonded in a 5-coordinate geometry to three equivalent Pr and two equivalent Hf atoms.

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Materials Data on Hf2N2O by Materials Project

Hf2ON2 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to five N3- and two equivalent O2- atoms to form a mixture of distorted edge and corner-sharing HfN5O2 pentagonal bipyramids. There are a spread of Hf–N bond distances ranging from 2.16–2.24 Å. There are one shorter (2.24 Å) and one longer (2.30 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to five N3- and two equivalent O2- atoms. There are a spread of Hf–N bond distances ranging from 2.23–2.31 Å. Both Hf–O bond lengths are 2.25 Å. There are two inequivalent N3- sites. In the first N3- site, N3- is bonded to five Hf4+ atoms to form distorted edge-sharing NHf5 square pyramids. In the second N3- site, N3- is bonded in a 5-coordinate geometry to five Hf4+ atoms. O2- is bonded in a 4-coordinate geometry to four Hf4+ atoms.

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Materials Data on CeHfO4 by Materials Project

CeHfO4 crystallizes in the tetragonal I4_1/a space group. The structure is three-dimensional. there are four inequivalent Ce4+ sites. In the first Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. There are four shorter (2.33 Å) and four longer (2.39 Å) Ce–O bond lengths. In the second Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. There are four shorter (2.33 Å) and four longer (2.39 Å) Ce–O bond lengths. In the third Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. There are four shorter (2.33 Å) and four longer (2.39 Å) Ce–O bond lengths. In the fourth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. There are four shorter (2.33 Å) and four longer (2.39 Å) Ce–O bond lengths. There are four inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to eight equivalent O2- atoms to form distorted edge-sharing HfO8 tetrahedra. There are four shorter (2.04 Å) and four longer (2.58 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to eight equivalent O2- atoms to form distorted edge-sharing HfO8 tetrahedra. There are four shorter (2.04 Å) and four longer (2.58 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to eight equivalent O2- atoms to form distorted edge-sharing HfO8 tetrahedra. There are four shorter (2.04 Å) and four longer (2.58 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to eight equivalent O2- atoms to form distorted edge-sharing HfO8 tetrahedra. There are four shorter (2.04 Å) and four longer (2.58 Å) Hf–O bond lengths. O2- is bonded in a 4-coordinate geometry to two Ce4+ and two Hf4+ atoms.

36 MATERIALS SCIENCE↗
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Materials Data on Li3HfO3 by Materials Project

Li3HfO3 crystallizes in the tetragonal P4_2/mnm space group. The structure is three-dimensional. there are two inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form a mixture of distorted edge and corner-sharing LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.94–2.44 Å. In the second Li site, Li is bonded to four O atoms to form a mixture of edge and corner-sharing LiO4 tetrahedra. There are two shorter (1.98 Å) and two longer (2.03 Å) Li–O bond lengths. Hf is bonded in a square co-planar geometry to four O atoms. There are two shorter (2.00 Å) and two longer (2.14 Å) Hf–O bond lengths. There are two inequivalent O sites. In the first O site, O is bonded in a 6-coordinate geometry to four Li and two equivalent Hf atoms. In the second O site, O is bonded to four Li and one Hf atom to form a mixture of edge and corner-sharing OLi4Hf trigonal bipyramids.

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Materials Data on Hf3N2O3 by Materials Project

Hf3N2O3 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are two inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to two equivalent N3- and four O2- atoms to form distorted HfN2O4 octahedra that share corners with four HfN2O4 octahedra and edges with six equivalent HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 25–35°. Both Hf–N bond lengths are 2.14 Å. There are two shorter (2.11 Å) and two longer (2.12 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to three equivalent N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 25–56°. There are two shorter (2.12 Å) and one longer (2.18 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.07–2.32 Å. N3- is bonded to four Hf4+ atoms to form a mixture of distorted edge and corner-sharing NHf4 trigonal pyramids. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to four Hf4+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three Hf4+ atoms.

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Materials Data on Hf2N2O by Materials Project

Hf2ON2 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to five N3- and two equivalent O2- atoms. There are a spread of Hf–N bond distances ranging from 2.07–2.50 Å. There are one shorter (2.09 Å) and one longer (2.10 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to five N3- and two equivalent O2- atoms. There are a spread of Hf–N bond distances ranging from 2.06–2.49 Å. There are one shorter (2.09 Å) and one longer (2.47 Å) Hf–O bond lengths. There are two inequivalent N3- sites. In the first N3- site, N3- is bonded to six Hf4+ atoms to form NHf6 octahedra that share corners with six equivalent NHf4 tetrahedra, edges with six equivalent NHf6 octahedra, and edges with three equivalent NHf4 tetrahedra. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with six equivalent NHf6 octahedra, corners with two equivalent NHf4 tetrahedra, edges with three equivalent NHf6 octahedra, and an edgeedge with one NHf4 tetrahedra. The corner-sharing octahedra tilt angles range from 10–57°. O2- is bonded in a 3-coordinate geometry to four Hf4+ atoms.

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Materials Data on La2Hf2O7 by Materials Project

La2Hf2O7 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.86 Å. In the second La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.73 Å. In the third La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.47–2.63 Å. In the fourth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.42–3.10 Å. There are four inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to six O2- atoms to form corner-sharing HfO6 octahedra. The corner-sharing octahedra tilt angles range from 29–38°. There are a spread of Hf–O bond distances ranging from 2.01–2.19 Å. In the second Hf4+ site, Hf4+ is bonded to six O2- atoms to form corner-sharing HfO6 octahedra. The corner-sharing octahedra tilt angles range from 23–38°. There are a spread of Hf–O bond distances ranging from 2.00–2.23 Å. In the third Hf4+ site, Hf4+ is bonded to six O2- atoms to form corner-sharing HfO6 octahedra. The corner-sharing octahedra tilt angles range from 29–41°. There are a spread of Hf–O bond distances ranging from 1.98–2.24 Å. In the fourth Hf4+ site, Hf4+ is bonded to six O2- atoms to form corner-sharing HfO6 octahedra. The corner-sharing octahedra tilt angles range from 23–41°. There are a spread of Hf–O bond distances ranging from 2.00–2.27 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two La3+ and two Hf4+ atoms to form distorted OLa2Hf2 tetrahedra that share corners with five OLa3Hf tetrahedra and an edgeedge with one OLa2Hf2 tetrahedra. In the second O2- site, O2- is bonded to three La3+ and one Hf4+ atom to form distorted OLa3Hf tetrahedra that share corners with five OLa2Hf2 tetrahedra and edges with four OLa3Hf tetrahedra. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two La3+ and two Hf4+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one La3+ and two Hf4+ atoms. In the fifth O2- site, O2- is bonded to three La3+ and one Hf4+ atom to form distorted OLa3Hf tetrahedra that share corners with seven OLa2Hf2 tetrahedra and edges with three equivalent OLa3Hf tetrahedra. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two equivalent Hf4+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two La3+ and two Hf4+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two La3+ and one Hf4+ atom. In the ninth O2- site, O2- is bonded to two La3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OLa2Hf2 tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Hf4+ atoms. In the eleventh O2- site, O2- is bonded to two La3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OLa2Hf2 tetrahedra. In the twelfth O2- site, O2- is bonded to three La3+ and one Hf4+ atom to form a mixture of distorted corner and edge-sharing OLa3Hf tetrahedra. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two equivalent Hf4+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+ and two Hf4+ atoms.

36 MATERIALS SCIENCE↗
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Materials Data on HfZrO4 by Materials Project

HfZrO4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.02–2.51 Å. In the second Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.12–2.34 Å. In the third Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.10–2.37 Å. In the fourth Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.19–2.22 Å. There are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.35 Å. In the second Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.05–2.49 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.25 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.38 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Hf4+ and two Zr4+ atoms. In the second O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with twelve OHf2Zr2 tetrahedra and edges with three OZr4 tetrahedra. In the third O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with sixteen OHf2Zr2 tetrahedra and edges with three OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Hf4+ atoms. In the sixth O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with sixteen OHf2Zr2 tetrahedra and edges with three OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with twelve OHf2Zr2 tetrahedra and edges with three OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with ten OZr4 tetrahedra and edges with six OHf2Zr2 tetrahedra. In the ninth O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with twelve OHf2Zr2 tetrahedra and edges with three OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Hf4+ and two Zr4+ atoms. In the thirteenth O2- site, O2- is bonded to four Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf4 tetrahedra. In the fourteenth O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with sixteen OHf2Zr2 tetrahedra and edges with three OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Hf4+ and two Zr4+ atoms. In the sixteenth O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with ten OZr4 tetrahedra and edges with six OHf2Zr2 tetrahedra.

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Materials Data on Hf2Al3 by Materials Project

Hf2Al3 crystallizes in the orthorhombic Fdd2 space group. The structure is three-dimensional. Hf is bonded in a 7-coordinate geometry to nine Al atoms. There are a spread of Hf–Al bond distances ranging from 2.84–3.17 Å. There are two inequivalent Al sites. In the first Al site, Al is bonded in a 10-coordinate geometry to six equivalent Hf and four equivalent Al atoms. There are two shorter (2.66 Å) and two longer (2.70 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 10-coordinate geometry to six equivalent Hf and four Al atoms. Both Al–Al bond lengths are 2.77 Å.

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Materials Data on HfCu3 by Materials Project

HfCu3 is alpha bismuth trifluoride structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Hf is bonded in a distorted body-centered cubic geometry to fourteen Cu atoms. There are eight shorter (2.64 Å) and six longer (3.05 Å) Hf–Cu bond lengths. There are two inequivalent Cu sites. In the first Cu site, Cu is bonded to four equivalent Hf and four equivalent Cu atoms to form a mixture of distorted edge, face, and corner-sharing CuHf4Cu4 tetrahedra. All Cu–Cu bond lengths are 2.64 Å. In the second Cu site, Cu is bonded in a 8-coordinate geometry to six equivalent Hf and eight equivalent Cu atoms.

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Materials Data on HfZn3 by Materials Project

HfZn3 is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Hf is bonded to twelve Zn atoms to form a mixture of corner and face-sharing HfZn12 cuboctahedra. There are six shorter (2.81 Å) and six longer (2.92 Å) Hf–Zn bond lengths. There are two inequivalent Zn sites. In the first Zn site, Zn is bonded in a 12-coordinate geometry to four equivalent Hf and eight equivalent Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.73–3.04 Å. In the second Zn site, Zn is bonded in a 12-coordinate geometry to four equivalent Hf and eight equivalent Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.73–3.04 Å.

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Materials Data on HfFe2 by Materials Project

HfFe2 is Hexagonal Laves structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Hf is bonded in a 12-coordinate geometry to twelve Fe atoms. There are three shorter (2.88 Å) and nine longer (2.90 Å) Hf–Fe bond lengths. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded to six equivalent Hf and six equivalent Fe atoms to form a mixture of corner, edge, and face-sharing FeHf6Fe6 cuboctahedra. All Fe–Fe bond lengths are 2.47 Å. In the second Fe site, Fe is bonded to six equivalent Hf and six Fe atoms to form a mixture of corner, edge, and face-sharing FeHf6Fe6 cuboctahedra. There are two shorter (2.45 Å) and two longer (2.50 Å) Fe–Fe bond lengths.

36 MATERIALS SCIENCE↗
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Materials Data on HfTl3 by Materials Project

HfTl3 is Uranium Silicide-like structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Hf is bonded to twelve Tl atoms to form HfTl12 cuboctahedra that share corners with four equivalent HfTl12 cuboctahedra, edges with eight equivalent HfTl12 cuboctahedra, edges with sixteen equivalent TlHf4Tl8 cuboctahedra, faces with four equivalent HfTl12 cuboctahedra, and faces with eight equivalent TlHf4Tl8 cuboctahedra. There are four shorter (3.14 Å) and eight longer (3.37 Å) Hf–Tl bond lengths. There are two inequivalent Tl sites. In the first Tl site, Tl is bonded to four equivalent Hf and eight Tl atoms to form TlHf4Tl8 cuboctahedra that share corners with twelve equivalent TlHf4Tl8 cuboctahedra, edges with eight equivalent HfTl12 cuboctahedra, edges with eight equivalent TlHf4Tl8 cuboctahedra, faces with four equivalent HfTl12 cuboctahedra, and faces with ten equivalent TlHf4Tl8 cuboctahedra. There are four shorter (3.14 Å) and four longer (3.37 Å) Tl–Tl bond lengths. In the second Tl site, Tl is bonded in a distorted square co-planar geometry to four equivalent Hf and eight equivalent Tl atoms.

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Materials Data on HfP by Materials Project

HfP is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Hf is bonded to six P atoms to form a mixture of face, edge, and corner-sharing HfP6 octahedra. The corner-sharing octahedra tilt angles range from 0–46°. There are three shorter (2.56 Å) and three longer (2.69 Å) Hf–P bond lengths. There are two inequivalent P sites. In the first P site, P is bonded to six equivalent Hf atoms to form a mixture of distorted edge and corner-sharing PHf6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 4°. In the second P site, P is bonded to six equivalent Hf atoms to form a mixture of edge and corner-sharing PHf6 octahedra.

36 MATERIALS SCIENCE↗
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Materials Data on HfAs by Materials Project

HfAs is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Hf is bonded to six As atoms to form a mixture of face, edge, and corner-sharing HfAs6 octahedra. The corner-sharing octahedra tilt angles range from 0–46°. There are three shorter (2.65 Å) and three longer (2.78 Å) Hf–As bond lengths. There are two inequivalent As sites. In the first As site, As is bonded to six equivalent Hf atoms to form a mixture of distorted edge and corner-sharing AsHf6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 4°. In the second As site, As is bonded to six equivalent Hf atoms to form a mixture of edge and corner-sharing AsHf6 octahedra.

36 MATERIALS SCIENCE↗
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Materials Data on HfGa5Ni by Materials Project

HfNiGa5 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Hf is bonded to twelve Ga atoms to form distorted HfGa12 cuboctahedra that share corners with four equivalent HfGa12 cuboctahedra, faces with four equivalent HfGa12 cuboctahedra, and faces with four equivalent GaHf4Ga8 cuboctahedra. There are eight shorter (2.86 Å) and four longer (2.98 Å) Hf–Ga bond lengths. Ni is bonded in a body-centered cubic geometry to eight equivalent Ga atoms. All Ni–Ga bond lengths are 2.48 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded in a 4-coordinate geometry to two equivalent Hf, two equivalent Ni, and two equivalent Ga atoms. Both Ga–Ga bond lengths are 2.86 Å. In the second Ga site, Ga is bonded to four equivalent Hf and eight equivalent Ga atoms to form GaHf4Ga8 cuboctahedra that share corners with four equivalent GaHf4Ga8 cuboctahedra, faces with four equivalent HfGa12 cuboctahedra, and faces with four equivalent GaHf4Ga8 cuboctahedra.

36 MATERIALS SCIENCE↗
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Materials Data on HfMg30WO32 by Materials Project

Mg30HfWO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, corners with two equivalent WO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.02–2.19 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.09 Å) and four longer (2.17 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.14–2.16 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent HfO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.13 Å) and four longer (2.16 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, an edgeedge with one WO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Mg–O bond distances ranging from 2.11–2.22 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.15–2.17 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one WO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.13–2.18 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Mg–O bond distances ranging from 2.11–2.20 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.13 Å) and two longer (2.18 Å) Hf–O bond lengths. W is bonded to six O atoms to form WO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.22 Å) and four longer (2.30 Å) W–O bond lengths. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one W atom to form OMg5W octahedra that share corners with six OMg5W octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5W octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the third O site, O is bonded to five Mg and one Hf atom to form a mixture of corner and edge-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5W octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.12 Å) and two longer (2.14 Å) O–Mg bond lengths. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5W octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the sixth O site, O is bonded to five Mg and one W atom to form a mixture of corner and edge-sharing OMg5W octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventh O site, O is bonded to five Mg and one W atom to form a mixture of corner and edge-sharing OMg5W octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are two shorter (2.11 Å) and two longer (2.18 Å) O–Mg bond lengths. In the eighth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OMg5W octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the ninth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on HfMg30MnO32 by Materials Project

Mg30HfMnO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.07–2.18 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent HfO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.13 Å) and four longer (2.15 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.14 Å) and two longer (2.16 Å) Mg–O bond lengths. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Mg–O bond lengths are 2.15 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Mg–O bond distances ranging from 2.11–2.20 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.14–2.17 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.14–2.17 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of Mg–O bond distances ranging from 2.10–2.20 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.14 Å) and four longer (2.16 Å) Hf–O bond lengths. Mn is bonded to six O atoms to form MnO6 octahedra that share corners with two equivalent HfO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.17 Å) and four longer (2.24 Å) Mn–O bond lengths. There are eleven inequivalent O sites. In the first O site, O is bonded to five Mg and one Mn atom to form OMg5Mn octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.14 Å. In the fourth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifth O site, O is bonded to five Mg and one Mn atom to form a mixture of edge and corner-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of O–Mg bond distances ranging from 2.07–2.17 Å. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eighth O site, O is bonded to four equivalent Mg, one Hf, and one Mn atom to form OHfMg4Mn octahedra that share corners with six OHfMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.11 Å) and two longer (2.16 Å) O–Mg bond lengths. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗