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DOE OSTI2020

Materials Data on HfNi3 by Materials Project

HfNi3 is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are three inequivalent Hf sites. In the first Hf site, Hf is bonded to twelve Ni atoms to form HfNi12 cuboctahedra that share corners with six equivalent NiHf4Ni8 cuboctahedra, corners with nine HfNi12 cuboctahedra, edges with twenty-one NiHf4Ni8 cuboctahedra, faces with seven HfNi12 cuboctahedra, and faces with twelve NiHf4Ni8 cuboctahedra. There are nine shorter (2.64 Å) and three longer (2.68 Å) Hf–Ni bond lengths. In the second Hf site, Hf is bonded to twelve Ni atoms to form HfNi12 cuboctahedra that share corners with six equivalent HfNi12 cuboctahedra, corners with twelve NiHf4Ni8 cuboctahedra, edges with eighteen NiHf4Ni8 cuboctahedra, faces with eight HfNi12 cuboctahedra, and faces with twelve NiHf4Ni8 cuboctahedra. There are a spread of Hf–Ni bond distances ranging from 2.63–2.68 Å. In the third Hf site, Hf is bonded to twelve Ni atoms to form HfNi12 cuboctahedra that share corners with twelve HfNi12 cuboctahedra, edges with twenty-four NiHf4Ni8 cuboctahedra, faces with six equivalent HfNi12 cuboctahedra, and faces with twelve NiHf4Ni8 cuboctahedra. All Hf–Ni bond lengths are 2.64 Å. There are six inequivalent Ni sites. In the first Ni site, Ni is bonded to four Hf and eight Ni atoms to form distorted NiHf4Ni8 cuboctahedra that share corners with four HfNi12 cuboctahedra, corners with fourteen NiHf4Ni8 cuboctahedra, edges with six HfNi12 cuboctahedra, edges with twelve NiHf4Ni8 cuboctahedra, faces with four HfNi12 cuboctahedra, and faces with sixteen NiHf4Ni8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.57–2.65 Å. In the second Ni site, Ni is bonded to four Hf and eight Ni atoms to form distorted NiHf4Ni8 cuboctahedra that share corners with four HfNi12 cuboctahedra, corners with fourteen NiHf4Ni8 cuboctahedra, edges with six HfNi12 cuboctahedra, edges with twelve NiHf4Ni8 cuboctahedra, faces with four HfNi12 cuboctahedra, and faces with sixteen NiHf4Ni8 cuboctahedra. Both Ni–Hf bond lengths are 2.63 Å. There are a spread of Ni–Ni bond distances ranging from 2.57–2.65 Å. In the third Ni site, Ni is bonded to four Hf and eight Ni atoms to form distorted NiHf4Ni8 cuboctahedra that share corners with twelve NiHf4Ni8 cuboctahedra, edges with eight HfNi12 cuboctahedra, edges with sixteen NiHf4Ni8 cuboctahedra, faces with four HfNi12 cuboctahedra, and faces with fourteen NiHf4Ni8 cuboctahedra. There are two shorter (2.46 Å) and two longer (2.80 Å) Ni–Ni bond lengths. In the fourth Ni site, Ni is bonded to four Hf and eight Ni atoms to form distorted NiHf4Ni8 cuboctahedra that share corners with twelve NiHf4Ni8 cuboctahedra, edges with eight HfNi12 cuboctahedra, edges with sixteen NiHf4Ni8 cuboctahedra, faces with four HfNi12 cuboctahedra, and faces with fourteen NiHf4Ni8 cuboctahedra. There are one shorter (2.46 Å) and one longer (2.80 Å) Ni–Ni bond lengths. In the fifth Ni site, Ni is bonded to four Hf and eight Ni atoms to form distorted NiHf4Ni8 cuboctahedra that share corners with two equivalent HfNi12 cuboctahedra, corners with thirteen NiHf4Ni8 cuboctahedra, edges with seven HfNi12 cuboctahedra, edges with fourteen NiHf4Ni8 cuboctahedra, faces with four HfNi12 cuboctahedra, and faces with fifteen NiHf4Ni8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.47–2.80 Å. In the sixth Ni site, Ni is bonded to four Hf and eight Ni atoms to form distorted NiHf4Ni8 cuboctahedra that share corners with two equivalent HfNi12 cuboctahedra, corners with thirteen NiHf4Ni8 cuboctahedra, edges with seven HfNi12 cuboctahedra, edges with fourteen NiHf4Ni8 cuboctahedra, faces with four HfNi12 cuboctahedra, and faces with fifteen NiHf4Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on HfSiRu by Materials Project

HfRuSi 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 7-coordinate geometry to four Ru and five Si atoms. There are two shorter (2.90 Å) and two longer (3.14 Å) Hf–Ru bond lengths. There are a spread of Hf–Si bond distances ranging from 2.71–2.74 Å. In the second Hf site, Hf is bonded in a 11-coordinate geometry to six Ru and five Si atoms. There are a spread of Hf–Ru bond distances ranging from 2.89–3.17 Å. There are a spread of Hf–Si bond distances ranging from 2.71–2.75 Å. In the third Hf site, Hf is bonded in a 11-coordinate geometry to six Ru and five Si atoms. There are a spread of Hf–Ru bond distances ranging from 2.85–2.95 Å. There are four shorter (2.72 Å) and one longer (2.93 Å) Hf–Si bond lengths. 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 Si atoms. Both Ru–Ru bond lengths are 2.86 Å. There are two shorter (2.53 Å) and two longer (2.57 Å) Ru–Si bond lengths. In the second Ru site, Ru is bonded in a 12-coordinate geometry to five Hf, one Ru, and four Si atoms. There are a spread of Ru–Si bond distances ranging from 2.46–2.56 Å. There are two inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to three Hf and six Ru atoms. In the second Si site, Si is bonded in a 9-coordinate geometry to six Hf and three Ru atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on HfCo3B2 by Materials Project

HfCo3B2 crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are two inequivalent Hf sites. In the first Hf site, Hf is bonded to two equivalent Hf and twelve Co atoms to form distorted corner-sharing HfHf2Co12 cuboctahedra. Both Hf–Hf bond lengths are 2.99 Å. There are six shorter (2.73 Å) and six longer (2.85 Å) Hf–Co bond lengths. In the second Hf site, Hf is bonded in a 12-coordinate geometry to two Hf, twelve Co, and six equivalent B atoms. The Hf–Hf bond length is 3.09 Å. There are a spread of Hf–Co bond distances ranging from 2.73–3.01 Å. All Hf–B bond lengths are 2.62 Å. There are two inequivalent Co sites. In the first Co site, Co is bonded in a 4-coordinate geometry to four Hf and four equivalent B atoms. All Co–B bond lengths are 2.21 Å. In the second Co site, Co is bonded in a 4-coordinate geometry to four Hf and four equivalent B atoms. All Co–B bond lengths are 2.04 Å. B is bonded in a 9-coordinate geometry to two equivalent Hf, six Co, and one B atom. The B–B bond length is 2.04 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf3SiMo8 by Materials Project

Hf3Mo8Si is Hexagonal Laves-derived structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are three inequivalent Hf sites. In the first Hf site, Hf is bonded in a 12-coordinate geometry to twelve Mo and three equivalent Si atoms. There are three shorter (3.00 Å) and nine longer (3.12 Å) Hf–Mo bond lengths. All Hf–Si bond lengths are 3.26 Å. In the second Hf site, Hf is bonded in a 12-coordinate geometry to twelve Mo atoms. There are three shorter (3.09 Å) and nine longer (3.13 Å) Hf–Mo bond lengths. In the third Hf site, Hf is bonded in a 12-coordinate geometry to twelve Mo and one Si atom. There are a spread of Hf–Mo bond distances ranging from 3.09–3.14 Å. The Hf–Si bond length is 3.19 Å. There are four inequivalent Mo sites. In the first Mo site, Mo is bonded to three equivalent Hf, six Mo, and three equivalent Si atoms to form MoHf3Si3Mo6 cuboctahedra that share corners with twelve MoHf4Si2Mo6 cuboctahedra, edges with six equivalent MoHf3Si3Mo6 cuboctahedra, and faces with twenty MoHf6Mo6 cuboctahedra. There are three shorter (2.63 Å) and three longer (2.64 Å) Mo–Mo bond lengths. All Mo–Si bond lengths are 3.14 Å. In the second Mo site, Mo is bonded to six Hf and six Mo atoms to form MoHf6Mo6 cuboctahedra that share corners with twelve MoHf5SiMo6 cuboctahedra, edges with six equivalent MoHf6Mo6 cuboctahedra, and faces with twenty MoHf3Si3Mo6 cuboctahedra. There are three shorter (2.67 Å) and three longer (2.70 Å) Mo–Mo bond lengths. In the third Mo site, Mo is bonded to four Hf, six Mo, and two equivalent Si atoms to form MoHf4Si2Mo6 cuboctahedra that share corners with eighteen MoHf3Si3Mo6 cuboctahedra, edges with six MoHf5SiMo6 cuboctahedra, and faces with eighteen MoHf3Si3Mo6 cuboctahedra. There are two shorter (2.60 Å) and two longer (2.74 Å) Mo–Mo bond lengths. Both Mo–Si bond lengths are 3.09 Å. In the fourth Mo site, Mo is bonded to five Hf, six Mo, and one Si atom to form MoHf5SiMo6 cuboctahedra that share corners with eighteen MoHf3Si3Mo6 cuboctahedra, edges with six MoHf4Si2Mo6 cuboctahedra, and faces with eighteen MoHf3Si3Mo6 cuboctahedra. There are two shorter (2.61 Å) and two longer (2.74 Å) Mo–Mo bond lengths. The Mo–Si bond length is 3.06 Å. Si is bonded in a 1-coordinate geometry to four Hf and twelve Mo atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf3GeMo8 by Materials Project

Hf3Mo8Ge is Hexagonal Laves-derived structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are three inequivalent Hf sites. In the first Hf site, Hf is bonded in a 12-coordinate geometry to twelve Mo and three equivalent Ge atoms. There are a spread of Hf–Mo bond distances ranging from 3.03–3.14 Å. All Hf–Ge bond lengths are 3.27 Å. In the second Hf site, Hf is bonded in a 12-coordinate geometry to twelve Mo atoms. There are three shorter (3.10 Å) and nine longer (3.14 Å) Hf–Mo bond lengths. In the third Hf site, Hf is bonded in a 12-coordinate geometry to twelve Mo and one Ge atom. There are a spread of Hf–Mo bond distances ranging from 3.08–3.15 Å. The Hf–Ge bond length is 3.22 Å. There are four inequivalent Mo sites. In the first Mo site, Mo is bonded to three equivalent Hf, six Mo, and three equivalent Ge atoms to form MoHf3Ge3Mo6 cuboctahedra that share corners with twelve MoHf4Ge2Mo6 cuboctahedra, edges with six equivalent MoHf3Ge3Mo6 cuboctahedra, and faces with twenty MoHf6Mo6 cuboctahedra. There are three shorter (2.65 Å) and three longer (2.67 Å) Mo–Mo bond lengths. All Mo–Ge bond lengths are 3.15 Å. In the second Mo site, Mo is bonded to six Hf and six Mo atoms to form MoHf6Mo6 cuboctahedra that share corners with twelve MoHf5GeMo6 cuboctahedra, edges with six equivalent MoHf6Mo6 cuboctahedra, and faces with twenty MoHf3Ge3Mo6 cuboctahedra. There are three shorter (2.68 Å) and three longer (2.70 Å) Mo–Mo bond lengths. In the third Mo site, Mo is bonded to four Hf, six Mo, and two equivalent Ge atoms to form MoHf4Ge2Mo6 cuboctahedra that share corners with eighteen MoHf3Ge3Mo6 cuboctahedra, edges with six MoHf5GeMo6 cuboctahedra, and faces with eighteen MoHf3Ge3Mo6 cuboctahedra. There are two shorter (2.60 Å) and two longer (2.75 Å) Mo–Mo bond lengths. Both Mo–Ge bond lengths are 3.10 Å. In the fourth Mo site, Mo is bonded to five Hf, six Mo, and one Ge atom to form MoHf5GeMo6 cuboctahedra that share corners with eighteen MoHf3Ge3Mo6 cuboctahedra, edges with six MoHf4Ge2Mo6 cuboctahedra, and faces with eighteen MoHf3Ge3Mo6 cuboctahedra. There are two shorter (2.62 Å) and two longer (2.74 Å) Mo–Mo bond lengths. The Mo–Ge bond length is 3.09 Å. Ge is bonded in a 4-coordinate geometry to four Hf and twelve Mo atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf3ScGa12 by Materials Project

ScHf3Ga12 is Uranium Silicide-derived structured and crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. Sc is bonded to twelve Ga atoms to form ScGa12 cuboctahedra that share corners with four equivalent ScGa12 cuboctahedra, corners with four equivalent HfGa12 cuboctahedra, edges with four equivalent HfGa12 cuboctahedra, edges with sixteen GaHf2Sc2Ga8 cuboctahedra, a faceface with one HfGa12 cuboctahedra, faces with four equivalent ScGa12 cuboctahedra, and faces with eight GaHf2Sc2Ga8 cuboctahedra. There are a spread of Sc–Ga bond distances ranging from 2.81–3.05 Å. There are three inequivalent Hf sites. In the first Hf site, Hf is bonded to twelve Ga atoms to form HfGa12 cuboctahedra that share corners with eight HfGa12 cuboctahedra, edges with four equivalent HfGa12 cuboctahedra, edges with sixteen GaHf4Ga8 cuboctahedra, faces with five HfGa12 cuboctahedra, and faces with eight GaHf4Ga8 cuboctahedra. There are a spread of Hf–Ga bond distances ranging from 2.81–3.05 Å. In the second Hf site, Hf is bonded to twelve Ga atoms to form HfGa12 cuboctahedra that share corners with eight HfGa12 cuboctahedra, edges with four equivalent ScGa12 cuboctahedra, edges with sixteen GaHf2Sc2Ga8 cuboctahedra, faces with five HfGa12 cuboctahedra, and faces with eight GaHf4Ga8 cuboctahedra. There are a spread of Hf–Ga bond distances ranging from 2.82–3.06 Å. In the third Hf site, Hf is bonded to twelve Ga atoms to form HfGa12 cuboctahedra that share corners with four equivalent ScGa12 cuboctahedra, corners with four equivalent HfGa12 cuboctahedra, edges with four equivalent HfGa12 cuboctahedra, edges with sixteen GaHf4Ga8 cuboctahedra, a faceface with one ScGa12 cuboctahedra, faces with four equivalent HfGa12 cuboctahedra, and faces with eight GaHf2Sc2Ga8 cuboctahedra. There are a spread of Hf–Ga bond distances ranging from 2.81–3.03 Å. There are eight inequivalent Ga sites. In the first Ga site, Ga is bonded to four Hf and eight Ga atoms to form distorted GaHf4Ga8 cuboctahedra that share corners with twelve GaHf4Ga8 cuboctahedra, edges with eight HfGa12 cuboctahedra, edges with eight GaHf2Sc2Ga8 cuboctahedra, faces with four HfGa12 cuboctahedra, and faces with ten GaHf4Ga8 cuboctahedra. There are a spread of Ga–Ga bond distances ranging from 2.81–2.99 Å. In the second Ga site, Ga is bonded to two equivalent Sc, two equivalent Hf, and eight Ga atoms to form distorted GaHf2Sc2Ga8 cuboctahedra that share corners with twelve GaHf4Ga8 cuboctahedra, edges with four equivalent ScGa12 cuboctahedra, edges with four equivalent HfGa12 cuboctahedra, edges with eight GaHf2Sc2Ga8 cuboctahedra, faces with two equivalent ScGa12 cuboctahedra, faces with two equivalent HfGa12 cuboctahedra, and faces with ten GaHf2Sc2Ga8 cuboctahedra. There are a spread of Ga–Ga bond distances ranging from 2.81–2.95 Å. In the third Ga site, Ga is bonded in a distorted rectangular see-saw-like geometry to four equivalent Hf and eight Ga atoms. All Ga–Ga bond lengths are 2.94 Å. In the fourth Ga site, Ga is bonded in a distorted rectangular see-saw-like geometry to four equivalent Hf and eight Ga atoms. All Ga–Ga bond lengths are 2.99 Å. In the fifth Ga site, Ga is bonded in a distorted rectangular see-saw-like geometry to four equivalent Sc and eight Ga atoms. All Ga–Ga bond lengths are 2.98 Å. In the sixth Ga site, Ga is bonded in a distorted rectangular see-saw-like geometry to four equivalent Hf and eight Ga atoms. All Ga–Ga bond lengths are 2.97 Å. In the seventh Ga site, Ga is bonded to two equivalent Sc, two equivalent Hf, and eight Ga atoms to form GaHf2Sc2Ga8 cuboctahedra that share corners with twelve GaHf2Sc2Ga8 cuboctahedra, edges with four equivalent ScGa12 cuboctahedra, edges with four equivalent HfGa12 cuboctahedra, edges with eight GaHf4Ga8 cuboctahedra, faces with two equivalent ScGa12 cuboctahedra, faces with two equivalent HfGa12 cuboctahedra, and faces with ten GaHf4Ga8 cuboctahedra. All Ga–Ga bond lengths are 2.81 Å. In the eighth Ga site, Ga is bonded to four Hf and eight Ga atoms to form distorted GaHf4Ga8 cuboctahedra that share corners with twelve GaHf2Sc2Ga8 cuboctahedra, edges with eight HfGa12 cuboctahedra, edges with eight GaHf4Ga8 cuboctahedra, faces with four HfGa12 cuboctahedra, and faces with ten GaHf4Ga8 cuboctahedra. All Ga–Ga bond lengths are 2.81 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on K5Hf3OF17 by Materials Project

K5Hf3OF17 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are three inequivalent K sites. In the first K site, K is bonded in a 9-coordinate geometry to one O and eight F atoms. The K–O bond length is 3.13 Å. There are a spread of K–F bond distances ranging from 2.61–3.20 Å. In the second K site, K is bonded in a 8-coordinate geometry to eight F atoms. There are a spread of K–F bond distances ranging from 2.62–3.01 Å. In the third K site, K is bonded in a 7-coordinate geometry to seven F atoms. There are a spread of K–F bond distances ranging from 2.71–2.83 Å. There are two inequivalent Hf sites. In the first Hf site, Hf is bonded to seven F atoms to form a mixture of edge and corner-sharing HfF7 pentagonal bipyramids. There are a spread of Hf–F bond distances ranging from 2.00–2.18 Å. In the second Hf site, Hf is bonded to seven F atoms to form distorted corner-sharing HfF7 pentagonal bipyramids. There are a spread of Hf–F bond distances ranging from 2.01–2.18 Å. O is bonded in a 2-coordinate geometry to two equivalent K atoms. There are ten inequivalent F sites. In the first F site, F is bonded in a 1-coordinate geometry to three K and one Hf atom. In the second F site, F is bonded in a distorted bent 120 degrees geometry to one K and two equivalent Hf atoms. In the third F site, F is bonded in a 1-coordinate geometry to three K and one Hf atom. In the fourth F site, F is bonded in a 1-coordinate geometry to four equivalent K and one Hf atom. In the fifth F site, F is bonded to three K and one Hf atom to form distorted corner-sharing FK3Hf tetrahedra. In the sixth F site, F is bonded in a distorted trigonal non-coplanar geometry to two K and one Hf atom. In the seventh F site, F is bonded in a linear geometry to two Hf atoms. In the eighth F site, F is bonded in a 4-coordinate geometry to three K and one Hf atom. In the ninth F site, F is bonded in a distorted trigonal non-coplanar geometry to two equivalent K and one Hf atom. In the tenth F site, F is bonded in a 1-coordinate geometry to three K and one Hf atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on HfSiOs by Materials Project

HfOsSi 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 11-coordinate geometry to six Os and five Si atoms. There are a spread of Hf–Os bond distances ranging from 2.85–2.96 Å. There are a spread of Hf–Si bond distances ranging from 2.71–2.95 Å. In the second Hf site, Hf is bonded in a 5-coordinate geometry to four Os and five Si atoms. There are two shorter (2.90 Å) and two longer (3.14 Å) Hf–Os bond lengths. There are a spread of Hf–Si bond distances ranging from 2.71–2.73 Å. In the third Hf site, Hf is bonded in a 9-coordinate geometry to six Os and five Si atoms. There are a spread of Hf–Os bond distances ranging from 2.88–3.17 Å. There are a spread of Hf–Si bond distances ranging from 2.71–2.76 Å. There are two inequivalent Os sites. In the first Os site, Os is bonded in a 12-coordinate geometry to five Hf, one Os, and four Si atoms. The Os–Os bond length is 2.87 Å. There are a spread of Os–Si bond distances ranging from 2.47–2.55 Å. In the second Os site, Os is bonded in a 12-coordinate geometry to six Hf, two equivalent Os, and four Si atoms. There are two shorter (2.54 Å) and two longer (2.56 Å) Os–Si bond lengths. There are two inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to six Hf and three Os atoms. In the second Si site, Si is bonded in a 9-coordinate geometry to three Hf and six Os atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

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↗
DOE OSTI2020

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↗
DOE OSTI2020

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↗
DOE OSTI2020

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↗
DOE OSTI2020

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↗
DOE OSTI2020

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↗
DOE OSTI2020

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↗
DOE OSTI2020

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↗
DOE OSTI2020

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↗
DOE OSTI2020

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↗