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Materials Data on HfAsRu by Materials Project

HfRuAs crystallizes in the orthorhombic Ima2 space group. The structure is three-dimensional. there are three inequivalent Hf sites. In the first Hf site, Hf is bonded in a 5-coordinate geometry to four Ru and five As atoms. There are two shorter (3.00 Å) and two longer (3.15 Å) Hf–Ru bond lengths. There are a spread of Hf–As bond distances ranging from 2.66–2.79 Å. In the second Hf site, Hf is bonded in a 9-coordinate geometry to four Ru and five As atoms. There are two shorter (2.95 Å) and two longer (2.98 Å) Hf–Ru bond lengths. There are a spread of Hf–As bond distances ranging from 2.74–2.81 Å. In the third Hf site, Hf is bonded in a 11-coordinate geometry to six Ru and five As atoms. There are a spread of Hf–Ru bond distances ranging from 2.90–2.99 Å. There are a spread of Hf–As bond distances ranging from 2.76–2.93 Å. There are two inequivalent Ru sites. In the first Ru site, Ru is bonded in a 12-coordinate geometry to six Hf, two equivalent Ru, and four As atoms. Both Ru–Ru bond lengths are 2.85 Å. There are two shorter (2.55 Å) and two longer (2.57 Å) Ru–As bond lengths. In the second Ru site, Ru is bonded in a 12-coordinate geometry to four Hf, one Ru, and four As atoms. There are a spread of Ru–As bond distances ranging from 2.53–2.58 Å. There are two inequivalent As sites. In the first As site, As is bonded in a 9-coordinate geometry to three Hf and six Ru atoms. In the second As site, As is bonded in a 9-coordinate geometry to six Hf and three Ru atoms.

36 MATERIALS SCIENCE↗

Materials Data on Hf8PbO24 by Materials Project

Hf8PbO24 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Hf sites. In the first Hf site, Hf is bonded to six O atoms to form HfO6 octahedra that share corners with six HfO6 octahedra and a faceface with one PbO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Hf–O bond distances ranging from 2.03–2.12 Å. In the second Hf site, Hf is bonded to six O atoms to form HfO6 octahedra that share corners with six HfO6 octahedra and a faceface with one PbO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Hf–O bond distances ranging from 2.03–2.12 Å. Pb is bonded to twelve O atoms to form PbO12 cuboctahedra that share faces with eight HfO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.77–2.79 Å. There are nine inequivalent O sites. In the first O site, O is bonded in a linear geometry to two equivalent Hf atoms. In the second O site, O is bonded in a linear geometry to two equivalent Hf atoms. In the third O site, O is bonded in a distorted linear geometry to two Hf and one Pb atom. In the fourth O site, O is bonded in a distorted linear geometry to two equivalent Hf and one Pb atom. In the fifth O site, O is bonded in a linear geometry to two equivalent Hf and one Pb atom. In the sixth O site, O is bonded in a linear geometry to two equivalent Hf atoms. In the seventh O site, O is bonded in a linear geometry to two equivalent Hf atoms. In the eighth O site, O is bonded in a distorted linear geometry to two Hf and one Pb atom. In the ninth O site, O is bonded in a linear geometry to two Hf atoms.

36 MATERIALS SCIENCE↗

Materials Data on HfGe2Rh by Materials Project

HfRhGe2 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. there are two inequivalent Hf sites. In the first Hf site, Hf is bonded in a 12-coordinate geometry to four Rh and eight Ge atoms. There are a spread of Hf–Rh bond distances ranging from 3.08–3.27 Å. There are a spread of Hf–Ge bond distances ranging from 2.75–3.04 Å. In the second Hf site, Hf is bonded in a 7-coordinate geometry to six Rh and seven Ge atoms. There are a spread of Hf–Rh bond distances ranging from 3.05–3.28 Å. There are a spread of Hf–Ge bond distances ranging from 2.82–2.99 Å. There are two inequivalent Rh sites. In the first Rh site, Rh is bonded in a 12-coordinate geometry to five Hf, one Rh, and six Ge atoms. The Rh–Rh bond length is 2.85 Å. There are a spread of Rh–Ge bond distances ranging from 2.51–2.66 Å. In the second Rh site, Rh is bonded in a 12-coordinate geometry to four Hf, two equivalent Rh, and six Ge atoms. There are a spread of Rh–Ge bond distances ranging from 2.55–2.61 Å. There are five inequivalent Ge sites. In the first Ge site, Ge is bonded in a 9-coordinate geometry to five Hf and four Rh atoms. In the second Ge site, Ge is bonded in a 7-coordinate geometry to three Hf, three Rh, and one Ge atom. The Ge–Ge bond length is 2.45 Å. In the third Ge site, Ge is bonded in a 7-coordinate geometry to four equivalent Hf, two equivalent Rh, and one Ge atom. The Ge–Ge bond length is 2.53 Å. In the fourth Ge site, Ge is bonded in a 9-coordinate geometry to six Hf, two equivalent Rh, and one Ge atom. The Ge–Ge bond length is 2.54 Å. In the fifth Ge site, Ge is bonded in a 6-coordinate geometry to two equivalent Hf and four Rh atoms.

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to six N3- and one O2- atom. There are a spread of Hf–N bond distances ranging from 2.14–2.71 Å. The Hf–O bond length is 2.14 Å. In the second Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to five N3- and two O2- atoms. There are a spread of Hf–N bond distances ranging from 2.13–2.30 Å. There are one shorter (2.16 Å) and one longer (2.44 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to five N3- and two O2- atoms. There are a spread of Hf–N bond distances ranging from 2.13–2.35 Å. There are one shorter (2.17 Å) and one longer (2.56 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to five N3- and two O2- atoms. There are a spread of Hf–N bond distances ranging from 2.10–2.27 Å. There are one shorter (2.27 Å) and one longer (2.45 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 60–64°. There are a spread of Hf–N bond distances ranging from 2.12–2.20 Å. There are one shorter (2.14 Å) and one longer (2.15 Å) Hf–O bond lengths. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.12 Å) and one longer (2.17 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to four N3- and three O2- atoms. There are a spread of Hf–N bond distances ranging from 2.10–2.61 Å. There are a spread of Hf–O bond distances ranging from 2.18–2.27 Å. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 60–64°. There are a spread of Hf–N bond distances ranging from 2.14–2.18 Å. There are one shorter (2.15 Å) and one longer (2.17 Å) Hf–O bond lengths. There are eight inequivalent N3- sites. In the first N3- site, N3- is bonded to five Hf4+ atoms to form distorted NHf5 trigonal bipyramids that share corners with four equivalent NHf5 square pyramids, a cornercorner with one NHf4 tetrahedra, corners with two equivalent OHf4 tetrahedra, edges with two equivalent NHf5 square pyramids, edges with two NHf4 tetrahedra, and edges with two equivalent NHf5 trigonal bipyramids. In the second N3- site, N3- is bonded to five Hf4+ atoms to form distorted NHf5 square pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two equivalent NHf4 tetrahedra, corners with four equivalent NHf5 trigonal bipyramids, edges with two equivalent NHf5 square pyramids, edges with two NHf4 tetrahedra, and edges with two equivalent NHf5 trigonal bipyramids. In the third N3- site, N3- is bonded to five Hf4+ atoms to form distorted NHf5 trigonal bipyramids that share corners with four equivalent NHf5 square pyramids, corners with three NHf4 tetrahedra, edges with two equivalent NHf5 square pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, and edges with two equivalent NHf5 trigonal bipyramids. In the fourth N3- site, N3- is bonded to five Hf4+ atoms to form distorted NHf5 square pyramids that share corners with three NHf4 tetrahedra, corners with four equivalent NHf5 trigonal bipyramids, edges with two equivalent NHf5 square pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, and edges with two equivalent NHf5 trigonal bipyramids. In the fifth N3- site, N3- is bonded in a 5-coordinate geometry to five Hf4+ atoms. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with two equivalent NHf5 square pyramids, corners with two equivalent OHf4 tetrahedra, corners with four NHf4 tetrahedra, a cornercorner with one NHf5 trigonal bipyramid, an edgeedge with one NHf5 square pyramid, and an edgeedge with one NHf5 trigonal bipyramid. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with two equivalent NHf5 square pyramids, corners with two equivalent OHf4 tetrahedra, corners with four NHf4 tetrahedra, a cornercorner with one NHf5 trigonal bipyramid, an edgeedge with one NHf5 square pyramid, and an edgeedge with one NHf5 trigonal bipyramid. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 tetrahedra that share a cornercorner with one NHf5 square pyramid, corners with two equivalent OHf4 tetrahedra, corners with four NHf4 tetrahedra, corners with two equivalent NHf5 trigonal bipyramids, an edgeedge with one NHf5 square pyramid, and an edgeedge with one NHf5 trigonal bipyramid. There are four 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 to four Hf4+ atoms to form distorted OHf4 tetrahedra that share a cornercorner with one NHf5 square pyramid, corners with six NHf4 tetrahedra, corners with two equivalent NHf5 trigonal bipyramids, an edgeedge with one NHf5 square pyramid, and an edgeedge with one NHf5 trigonal bipyramid. In the third O2- site, O2- is bonded in a 4-coordinate geometry to four Hf4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Hf4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face, edge, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 44–64°. There are a spread of Hf–N bond distances ranging from 2.07–2.25 Å. There are one shorter (2.16 Å) and one longer (2.39 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face, edge, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 42–66°. There are a spread of Hf–N bond distances ranging from 2.09–2.33 Å. There are one shorter (2.08 Å) and one longer (2.27 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face, edge, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 46–66°. There are a spread of Hf–N bond distances ranging from 2.09–2.29 Å. There are one shorter (2.14 Å) and one longer (2.32 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face, edge, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 44–66°. There are a spread of Hf–N bond distances ranging from 2.04–2.23 Å. There are one shorter (2.17 Å) and one longer (2.44 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face, edge, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 42–64°. There are a spread of Hf–N bond distances ranging from 2.06–2.24 Å. There are one shorter (2.15 Å) and one longer (2.35 Å) Hf–O bond lengths. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face, edge, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–67°. There are a spread of Hf–N bond distances ranging from 2.09–2.30 Å. There are one shorter (2.08 Å) and one longer (2.26 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face, edge, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 45–67°. There are a spread of Hf–N bond distances ranging from 2.04–2.24 Å. There are one shorter (2.17 Å) and one longer (2.38 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face, edge, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 46–66°. There are a spread of Hf–N bond distances ranging from 2.08–2.30 Å. There are one shorter (2.13 Å) and one longer (2.32 Å) Hf–O bond lengths. There are eight inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form a mixture of distorted edge and corner-sharing NHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form a mixture of distorted edge and corner-sharing NHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form a mixture of distorted edge and corner-sharing NHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded in a distorted see-saw-like geometry to four Hf4+ atoms. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form a mixture of distorted edge and corner-sharing NHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form a mixture of distorted edge and corner-sharing NHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form a mixture of distorted edge and corner-sharing NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded in a distorted see-saw-like geometry to four Hf4+ atoms. There are four 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 4-coordinate geometry to four Hf4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to four Hf4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Hf4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 43–66°. There are a spread of Hf–N bond distances ranging from 2.09–2.37 Å. There are one shorter (2.08 Å) and one longer (2.24 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded in a 6-coordinate geometry to four N3- and two O2- atoms. There are a spread of Hf–N bond distances ranging from 2.03–2.22 Å. There are one shorter (2.16 Å) and one longer (2.52 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of Hf–N bond distances ranging from 2.03–2.21 Å. There are one shorter (2.16 Å) and one longer (2.51 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 43–68°. There are a spread of Hf–N bond distances ranging from 2.04–2.28 Å. There are one shorter (2.16 Å) and one longer (2.41 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 42–66°. There are a spread of Hf–N bond distances ranging from 2.09–2.37 Å. There are one shorter (2.08 Å) and one longer (2.24 Å) Hf–O bond lengths. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 42–68°. There are a spread of Hf–N bond distances ranging from 2.03–2.28 Å. There are one shorter (2.16 Å) and one longer (2.41 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–68°. There are a spread of Hf–N bond distances ranging from 2.11–2.27 Å. There are one shorter (2.07 Å) and one longer (2.30 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–68°. There are a spread of Hf–N bond distances ranging from 2.11–2.27 Å. There are one shorter (2.07 Å) and one longer (2.32 Å) Hf–O bond lengths. There are eight inequivalent N3- sites. In the first N3- site, N3- is bonded in a distorted see-saw-like geometry to four Hf4+ atoms. In the second N3- site, N3- is bonded in a 4-coordinate geometry to four Hf4+ atoms. In the third N3- site, N3- is bonded in a 4-coordinate geometry to four Hf4+ atoms. In the fourth N3- site, N3- is bonded in a distorted see-saw-like geometry to four Hf4+ atoms. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two equivalent OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 trigonal pyramids and an edgeedge with one OHf4 trigonal pyramid. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 trigonal pyramids and an edgeedge with one OHf4 trigonal pyramid. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two equivalent OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. There are four 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 4-coordinate geometry to four Hf4+ atoms. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with four NHf4 trigonal pyramids and edges with four NHf4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Hf4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Hf4N3 by Materials Project

Hf4N3 is MAX Phase-derived structured and crystallizes in the trigonal R3m space group. The structure is two-dimensional and consists of three Hf4N3 sheets oriented in the (0, 0, 1) direction. there are four inequivalent Hf sites. In the first Hf site, Hf is bonded to six N atoms to form a mixture of distorted corner and edge-sharing HfN6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 2°. There are three shorter (2.29 Å) and three longer (2.32 Å) Hf–N bond lengths. In the second Hf site, Hf is bonded in a distorted T-shaped geometry to three equivalent N atoms. All Hf–N bond lengths are 2.23 Å. In the third Hf site, Hf is bonded in a distorted T-shaped geometry to three equivalent N atoms. All Hf–N bond lengths are 2.29 Å. In the fourth Hf site, Hf is bonded to six N atoms to form a mixture of corner and edge-sharing HfN6 octahedra. There are three shorter (2.22 Å) and three longer (2.27 Å) Hf–N bond lengths. There are three inequivalent N sites. In the first N site, N is bonded to six Hf atoms to form a mixture of corner and edge-sharing NHf6 octahedra. The corner-sharing octahedral tilt angles are 2°. In the second N site, N is bonded to six Hf atoms to form a mixture of corner, edge, and face-sharing NHf6 octahedra. The corner-sharing octahedral tilt angles are 47°. In the third N site, N is bonded to six Hf atoms to form a mixture of corner, edge, and face-sharing NHf6 octahedra. The corner-sharing octahedra tilt angles range from 2–47°.

36 MATERIALS SCIENCE↗

Materials Data on Hf3Ga3Pd2Pt by Materials Project

Hf3PtPd2Ga3 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are two inequivalent Hf sites. In the first Hf site, Hf is bonded in a 11-coordinate geometry to two equivalent Pt, three Pd, and six equivalent Ga atoms. Both Hf–Pt bond lengths are 2.86 Å. There are two shorter (2.78 Å) and one longer (2.88 Å) Hf–Pd bond lengths. There are a spread of Hf–Ga bond distances ranging from 2.97–3.16 Å. In the second Hf site, Hf is bonded in a 11-coordinate geometry to two equivalent Pt, three Pd, and six equivalent Ga atoms. Both Hf–Pt bond lengths are 2.77 Å. There are two shorter (2.86 Å) and one longer (2.88 Å) Hf–Pd bond lengths. There are a spread of Hf–Ga bond distances ranging from 2.97–3.16 Å. Pt is bonded in a 9-coordinate geometry to six Hf and three equivalent Ga atoms. All Pt–Ga bond lengths are 2.69 Å. There are three inequivalent Pd sites. In the first Pd site, Pd is bonded in a 9-coordinate geometry to three equivalent Hf and six equivalent Ga atoms. All Pd–Ga bond lengths are 2.59 Å. In the second Pd site, Pd is bonded in a 9-coordinate geometry to three equivalent Hf and six equivalent Ga atoms. All Pd–Ga bond lengths are 2.58 Å. In the third Pd site, Pd is bonded in a 9-coordinate geometry to six Hf and three equivalent Ga atoms. All Pd–Ga bond lengths are 2.68 Å. Ga is bonded in a 10-coordinate geometry to six Hf, one Pt, and three Pd atoms.

36 MATERIALS SCIENCE↗

Materials Data on HfCrGa2 by Materials Project

HfCrGa2 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent Hf sites. In the first Hf site, Hf is bonded in a 12-coordinate geometry to four Cr and eight Ga atoms. There are a spread of Hf–Cr bond distances ranging from 3.03–3.16 Å. There are a spread of Hf–Ga bond distances ranging from 2.82–3.02 Å. In the second Hf site, Hf is bonded in a 7-coordinate geometry to six Cr and seven Ga atoms. There are a spread of Hf–Cr bond distances ranging from 3.12–3.28 Å. There are a spread of Hf–Ga bond distances ranging from 2.78–2.98 Å. There are two inequivalent Cr sites. In the first Cr site, Cr is bonded in a 12-coordinate geometry to five Hf, one Cr, and six Ga atoms. The Cr–Cr bond length is 2.53 Å. There are a spread of Cr–Ga bond distances ranging from 2.46–2.68 Å. In the second Cr site, Cr is bonded to four Hf, two equivalent Cr, and six Ga atoms to form distorted face-sharing CrHf4Cr2Ga6 cuboctahedra. There are a spread of Cr–Ga bond distances ranging from 2.50–2.67 Å. There are five inequivalent Ga sites. In the first Ga site, Ga is bonded in a 11-coordinate geometry to five Hf, two equivalent Cr, and four Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.58–2.95 Å. In the second Ga site, Ga is bonded in a 11-coordinate geometry to five Hf, two equivalent Cr, and four Ga atoms. There are one shorter (2.84 Å) and two longer (2.98 Å) Ga–Ga bond lengths. In the third Ga site, Ga is bonded in a 7-coordinate geometry to three Hf, four Cr, and one Ga atom. In the fourth Ga site, Ga is bonded in a 8-coordinate geometry to four Hf, four Cr, and one Ga atom. In the fifth Ga site, Ga is bonded in a 6-coordinate geometry to three Hf, three Cr, and two Ga atoms.

36 MATERIALS SCIENCE↗

Materials Data on HfGe2Ru by Materials Project

HfRuGe2 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. there are two inequivalent Hf sites. In the first Hf site, Hf is bonded in a 12-coordinate geometry to four Ru and eight Ge atoms. There are a spread of Hf–Ru bond distances ranging from 3.06–3.24 Å. There are a spread of Hf–Ge bond distances ranging from 2.71–3.02 Å. In the second Hf site, Hf is bonded in a 7-coordinate geometry to six Ru and seven Ge atoms. There are a spread of Hf–Ru bond distances ranging from 3.06–3.28 Å. There are a spread of Hf–Ge bond distances ranging from 2.80–2.98 Å. There are two inequivalent Ru sites. In the first Ru site, Ru is bonded in a 12-coordinate geometry to five Hf, one Ru, and six Ge atoms. The Ru–Ru bond length is 2.85 Å. There are a spread of Ru–Ge bond distances ranging from 2.48–2.67 Å. In the second Ru site, Ru is bonded in a 12-coordinate geometry to four Hf, two equivalent Ru, and six Ge atoms. There are a spread of Ru–Ge bond distances ranging from 2.53–2.61 Å. There are five inequivalent Ge sites. In the first Ge site, Ge is bonded in a 9-coordinate geometry to five Hf and four Ru atoms. In the second Ge site, Ge is bonded in a 7-coordinate geometry to three Hf, three Ru, and one Ge atom. The Ge–Ge bond length is 2.47 Å. In the third Ge site, Ge is bonded in a 7-coordinate geometry to four equivalent Hf, two equivalent Ru, and one Ge atom. The Ge–Ge bond length is 2.53 Å. In the fourth Ge site, Ge is bonded in a 9-coordinate geometry to six Hf, two equivalent Ru, and one Ge atom. The Ge–Ge bond length is 2.53 Å. In the fifth Ge site, Ge is bonded in a 6-coordinate geometry to two equivalent Hf and four Ru atoms.

36 MATERIALS SCIENCE↗

Materials Data on Hf7Au10 by Materials Project

Hf7Au10 crystallizes in the orthorhombic Cmce space group. The structure is three-dimensional. there are four inequivalent Hf sites. In the first Hf site, Hf is bonded in a 10-coordinate geometry to ten Au atoms. There are a spread of Hf–Au bond distances ranging from 2.93–3.01 Å. In the second Hf site, Hf is bonded in a distorted body-centered cubic geometry to eight Au atoms. There are four shorter (2.83 Å) and four longer (2.84 Å) Hf–Au bond lengths. In the third Hf site, Hf is bonded in a 8-coordinate geometry to eight Au atoms. There are a spread of Hf–Au bond distances ranging from 2.84–2.89 Å. In the fourth Hf site, Hf is bonded in a 7-coordinate geometry to seven Au atoms. There are a spread of Hf–Au bond distances ranging from 2.90–3.00 Å. There are three inequivalent Au sites. In the first Au site, Au is bonded in a 6-coordinate geometry to six Hf atoms. In the second Au site, Au is bonded in a 10-coordinate geometry to five Hf atoms. In the third Au site, Au is bonded in a 6-coordinate geometry to six Hf atoms.

36 MATERIALS SCIENCE↗

Materials Data on Hf2TiNi3 by Materials Project

Hf2TiNi3 crystallizes in the orthorhombic Fddd space group. The structure is three-dimensional. there are three inequivalent Hf sites. In the first Hf site, Hf is bonded in a body-centered cubic geometry to eight Ni atoms. There are a spread of Hf–Ni bond distances ranging from 2.66–2.73 Å. In the second Hf site, Hf is bonded in a 9-coordinate geometry to one Ti and eight Ni atoms. The Hf–Ti bond length is 2.78 Å. There are a spread of Hf–Ni bond distances ranging from 2.56–2.77 Å. In the third Hf site, Hf is bonded in a 9-coordinate geometry to one Ti and eight Ni atoms. The Hf–Ti bond length is 2.86 Å. There are a spread of Hf–Ni bond distances ranging from 2.58–2.98 Å. There are three inequivalent Ti sites. In the first Ti site, Ti is bonded in a 6-coordinate geometry to six Hf and eight Ni atoms. There are four shorter (2.99 Å) and four longer (3.12 Å) Ti–Ni bond lengths. In the second Ti site, Ti is bonded in a distorted cuboctahedral geometry to eight Ni atoms. There are four shorter (2.59 Å) and four longer (2.70 Å) Ti–Ni bond lengths. In the third Ti site, Ti is bonded in a distorted body-centered cubic geometry to eight Ni atoms. There are a spread of Ti–Ni bond distances ranging from 2.51–2.71 Å. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded in a 8-coordinate geometry to five Hf and three Ti atoms. In the second Ni site, Ni is bonded in a 8-coordinate geometry to six Hf and two Ti atoms. In the third Ni site, Ni is bonded in a 7-coordinate geometry to five Hf and three Ti atoms.

36 MATERIALS SCIENCE↗

High-frequency ECG

The standard ECG is by convention limited to 0.05-150 Hz, but higher frequencies are also present in the ECG signal. With high-resolution technology, it is possible to record and analyze these higher frequencies. The highest amplitudes of the high-frequency components are found within the QRS complex. In past years, the term "high frequency", "high fidelity", and "wideband electrocardiography" have been used by several investigators to refer to the process of recording ECGs with an extended bandwidth of up to 1000 Hz. Several investigators have tried to analyze HF-QRS with the hope that additional features seen in the QRS complex would provide information enhancing the diagnostic value of the ECG. The development of computerized ECG-recording devices that made it possible to record ECG signals with high resolution in both time and amplitude, as well as better possibilities to store and process the signals digitally, offered new methods for analysis. Different techniques to extract the HF-QRS have been described. Several bandwidths and filter types have been applied for the extraction as well as different signal-averaging techniques for noise reduction. There is no standard method for acquiring and quantifying HF-QRS. The physiological mechanisms underlying HF-QRS are still not fully understood. One theory is that HF-QRS are related to the conduction velocity and the fragmentation of the depolarization wave in the myocardium. In a three-dimensional model of the ventricles with a fractal conduction system it was shown that high numbers of splitting branches are associated with HF-QRS. In this experiment, it was also shown that the changes seen in HF-QRS in patients with myocardial ischemia might be due to the slowing of the conduction velocity in the region of ischemia. This mechanism has been tested by Watanabe et al by infusing sodium channel blockers into the left anterior descending artery in dogs. In their study, 60 unipolar ECGs were recorded from the entire ventricular surface and were signal-averaged and filtered in the 30-250 Hz frequency range. The results showed that the decrease noted in the HF-QRS correlated linearly with the local conduction delay. The results suggest that HF-QRS is a potent indicator of disturbed local conduction. An alternative theory is that HF-QRS reflect the shape of the original electrocardiographic signal. Bennhagen et al showed that root mean square (RMS) voltage values of the depolarization signal correlate poorly with the signal amplitude but highly with the first and second derivatives, i.e. the velocity and the acceleration of the signal. It has also been suggested that the autonomic nervous system affects HF-QRS. For example, sitting up causes significant changes in HF-QRS in some leads compared to the supine position [Douglas et al., 2006]. Unpublished results indicate that familial dysautonomic patients (both vagal and sympathetic degeneration) have very little Reduced Amplitude Zones (RAZ) formation . Athletic individuals, especially elite athletes, who have vagally-mediated changes on the conventional ECG (i.e. early repolarization, bradycardia) have increased RAZ formation. Further electrophysiological studies are needed, however, to better understand the underlying mechanisms of HF-QRS. Several investigators have studied HF-QRS in different cardiac conditions, including acute myocardial ischemia and myocardial infarction (MI). However, in order for clinicians to confidently use HF-QRS as an adjunct to standard ECG, more knowledge about the characteristics of HF-QRS is needed.

Tragardh, Elin↗

Materials Data on Hf5Sb3 by Materials Project

Hf5Sb3 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are four inequivalent Hf sites. In the first Hf site, Hf is bonded in a 5-coordinate geometry to five Sb atoms. There are a spread of Hf–Sb bond distances ranging from 2.85–3.11 Å. In the second Hf site, Hf is bonded to five Sb atoms to form a mixture of distorted face, edge, and corner-sharing HfSb5 trigonal bipyramids. There are a spread of Hf–Sb bond distances ranging from 2.85–3.05 Å. In the third Hf site, Hf is bonded in a 6-coordinate geometry to six Sb atoms. There are a spread of Hf–Sb bond distances ranging from 2.83–3.23 Å. In the fourth Hf site, Hf is bonded to five Sb atoms to form a mixture of distorted face, edge, and corner-sharing HfSb5 square pyramids. There are a spread of Hf–Sb bond distances ranging from 2.94–2.98 Å. There are two inequivalent Sb sites. In the first Sb site, Sb is bonded in a 8-coordinate geometry to eight Hf atoms. In the second Sb site, Sb is bonded in a 9-coordinate geometry to nine Hf atoms.

36 MATERIALS SCIENCE↗

Materials Data on Hf2Te by Materials Project

Hf2Te crystallizes in the monoclinic C2/m space group. The structure is two-dimensional and consists of one Hf2Te sheet oriented in the (0, 0, 1) direction. there are four inequivalent Hf sites. In the first Hf site, Hf is bonded in a 2-coordinate geometry to two Te atoms. There are one shorter (3.13 Å) and one longer (3.16 Å) Hf–Te bond lengths. In the second Hf site, Hf is bonded to five Te atoms to form distorted edge-sharing HfTe5 trigonal bipyramids. All Hf–Te bond lengths are 2.92 Å. In the third Hf site, Hf is bonded in a 3-coordinate geometry to three Te atoms. There are two shorter (2.94 Å) and one longer (3.04 Å) Hf–Te bond lengths. In the fourth Hf site, Hf is bonded in a 2-coordinate geometry to two equivalent Te atoms. Both Hf–Te bond lengths are 2.95 Å. There are two inequivalent Te sites. In the first Te site, Te is bonded in a 6-coordinate geometry to six Hf atoms. In the second Te site, Te is bonded in a distorted hexagonal planar geometry to six Hf atoms.

36 MATERIALS SCIENCE↗

Materials Data on Hf3Sc4O12 by Materials Project

Hf3Sc4O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.55 Å. In the second Sc3+ site, Sc3+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.14 Å. In the third Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.57 Å. In the fourth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.55 Å. In the fifth Sc3+ site, Sc3+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.14 Å. In the sixth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.60 Å. In the seventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.06–2.59 Å. In the eighth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.21 Å. In the ninth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.59 Å. In the tenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.05–2.59 Å. In the eleventh Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.22 Å. In the twelfth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.55 Å. In the thirteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.65 Å. In the fourteenth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share a cornercorner with one HfO7 pentagonal bipyramid and an edgeedge with one HfO7 pentagonal bipyramid. There are a spread of Sc–O bond distances ranging from 2.09–2.12 Å. In the fifteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.59 Å. In the sixteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.63 Å. In the seventeenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.11–2.64 Å. In the eighteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.58 Å. In the nineteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.67 Å. In the twentieth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.55 Å. There are fifteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Hf–O bond distances ranging from 2.03–2.12 Å. In the second Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.40 Å. In the third Hf4+ site, Hf4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Hf–O bond distances ranging from 2.03–2.13 Å. In the fourth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.04–2.41 Å. In the fifth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.05–2.47 Å. In the sixth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.39 Å. In the seventh Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.51 Å. In the eighth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.04–2.42 Å. In the ninth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.07–2.46 Å. In the tenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.04–2.53 Å. In the eleventh Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.48 Å. In the twelfth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.05–2.54 Å. In the thirteenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.47 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to seven O2- atoms to form distorted HfO7 pentagonal bipyramids that share a cornercorner with one ScO6 octahedra and an edgeedge with one ScO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Hf–O bond distances ranging from 2.06–2.33 Å. In the fifteenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.50 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the second O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with eight OHfSc3 tetrahedra and edges with three OHf3Sc tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Sc3+ and one Hf4+ atom. In the fourth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHfSc3 tetrahedra and edges with three OHf3Sc tetrahedra. In the fifth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with eight OHfSc3 tetrahedra and edges with three OHf2Sc2 tetrahedra. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the eighth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHfSc3 tetrahedra and edges with three OHf3Sc tetrahedra. In the ninth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHf3Sc tetrahedra and edges with four OHfSc3 tetrahedra. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+ and two Hf4+ atoms. In the twelfth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the fourteenth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form a mixture of distorted corner and edge-sharing OHfSc3 tetrahedra. In the fifteenth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHf2Sc2 tetrahedra and edges with four OHfSc3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the seventeenth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with nine OHf3Sc tetrahedra and edges with three OHfSc3 tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Sc3+ and two Hf4+ atoms. In the nineteenth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the twenty-first O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf3Sc tetrahedra. In the twenty-second O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form a mixture of distorted corner and edge-sharing OHfSc3 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of corner and edge-sharing OSc4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with eight OHf3Sc tetrahedra and edges with three OHfSc3 tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the twenty-sixth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with nine OHf3Sc tetrahedra and edges with three OHfSc3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with six OSc4 tetrahedra and edges with three OHf2Sc2 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf3Sc tetrahedra. In the thirtieth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirty-first O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf3Sc tetrahedra. In the thirty-second O2- site, O2- is bonded to four Sc3+ atoms to form OSc4 tetrahedra that share corners with six OHf2Sc2 tetrahedra and edges with three OHfSc3 tetrahedra. In the thirty-third O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with eight OHf2Sc2 tetrahedra and edges with three OHfSc3 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with six OHf2Sc2 tetrahedra and edges with three OSc4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the thirty-eighth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirty-ninth O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form distorted OHf3Sc tetrahedra that share corners with eight OHf2Sc2 tetrahedra and edges with four OHfSc3 tetrahedra. In the fortieth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form a mixture of corner and edge-sharing OHfSc3 tetrahedra. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the forty-second O2- site, O2- is bonded to two Sc3

36 MATERIALS SCIENCE↗

Materials Data on HfBiO4 by Materials Project

HfBiO4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Hf sites. In the first Hf site, Hf is bonded to six O atoms to form distorted HfO6 octahedra that share corners with four equivalent HfO6 octahedra and edges with two equivalent BiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of Hf–O bond distances ranging from 2.02–2.22 Å. In the second Hf site, Hf is bonded to six O atoms to form HfO6 octahedra that share corners with four equivalent HfO6 octahedra and corners with four equivalent BiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of Hf–O bond distances ranging from 2.05–2.13 Å. There are two inequivalent Bi sites. In the first Bi site, Bi is bonded to six O atoms to form BiO6 octahedra that share corners with four equivalent HfO6 octahedra and edges with two equivalent HfO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Bi–O bond distances ranging from 2.11–2.24 Å. In the second Bi site, Bi is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Bi–O bond distances ranging from 2.35–2.47 Å. There are eight inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Hf and two Bi atoms. In the second O site, O is bonded in a distorted trigonal non-coplanar geometry to one Hf and two Bi atoms. In the third O site, O is bonded in a distorted trigonal non-coplanar geometry to one Hf and two Bi atoms. In the fourth O site, O is bonded in a trigonal planar geometry to two Hf and one Bi atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one Hf and two Bi atoms. In the sixth O site, O is bonded in a 3-coordinate geometry to two Hf and one Bi atom. In the seventh O site, O is bonded in a trigonal planar geometry to two Hf and one Bi atom. In the eighth O site, O is bonded in a distorted trigonal planar geometry to two Hf and one Bi atom.

36 MATERIALS SCIENCE↗

Materials Data on Hf2(NiAs)3 by Materials Project

Hf2(NiAs)3 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent Hf sites. In the first Hf site, Hf is bonded in a 6-coordinate geometry to five Ni and six As atoms. There are a spread of Hf–Ni bond distances ranging from 2.85–3.11 Å. There are a spread of Hf–As bond distances ranging from 2.69–2.83 Å. In the second Hf site, Hf is bonded in a 6-coordinate geometry to nine Ni and six As atoms. There are a spread of Hf–Ni bond distances ranging from 3.02–3.36 Å. There are a spread of Hf–As bond distances ranging from 2.82–2.95 Å. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded to five Hf and four As atoms to form distorted face-sharing NiHf5As4 tetrahedra. There are a spread of Ni–As bond distances ranging from 2.34–2.40 Å. In the second Ni site, Ni is bonded in a 4-coordinate geometry to four Hf and four As atoms. There are a spread of Ni–As bond distances ranging from 2.31–2.35 Å. In the third Ni site, Ni is bonded in a 4-coordinate geometry to five Hf and four As atoms. There are a spread of Ni–As bond distances ranging from 2.37–2.43 Å. There are three inequivalent As sites. In the first As site, As is bonded in a 9-coordinate geometry to three Hf and six Ni atoms. In the second As site, As is bonded in a 8-coordinate geometry to four Hf and four Ni atoms. In the third As site, As is bonded in a 7-coordinate geometry to five Hf and two Ni atoms.

36 MATERIALS SCIENCE↗