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Materials Data on HfGeRu2 by Materials Project

HfRu2Ge is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Hf is bonded in a body-centered cubic geometry to eight equivalent Ru and six equivalent Ge atoms. All Hf–Ru bond lengths are 2.71 Å. All Hf–Ge bond lengths are 3.13 Å. Ru is bonded in a body-centered cubic geometry to four equivalent Hf and four equivalent Ge atoms. All Ru–Ge bond lengths are 2.71 Å. Ge is bonded in a distorted body-centered cubic geometry to six equivalent Hf and eight equivalent Ru atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2PbC by Materials Project

Hf2PbC is H-Phase structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Hf is bonded in a 6-coordinate geometry to three equivalent Pb and three equivalent C atoms. All Hf–Pb bond lengths are 3.15 Å. All Hf–C bond lengths are 2.29 Å. Pb is bonded in a 12-coordinate geometry to six equivalent Hf atoms. C is bonded to six equivalent Hf atoms to form edge-sharing CHf6 octahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2InPd2 by Materials Project

Hf2Pd2In crystallizes in the tetragonal P4/mbm space group. The structure is three-dimensional. Hf is bonded in a 6-coordinate geometry to six equivalent Pd and four equivalent In atoms. There are two shorter (2.74 Å) and four longer (2.83 Å) Hf–Pd bond lengths. All Hf–In bond lengths are 3.28 Å. Pd is bonded in a 6-coordinate geometry to six equivalent Hf and two equivalent In atoms. Both Pd–In bond lengths are 2.95 Å. In is bonded in a 12-coordinate geometry to eight equivalent Hf and four equivalent Pd atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on RbHfMg30O31 by Materials Project

RbMg30HfO31 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. Rb is bonded to five O atoms to form RbO5 square pyramids that share corners with four equivalent MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are four shorter (2.45 Å) and one longer (2.54 Å) Rb–O bond lengths. There are ten inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, corners with two equivalent RbO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.93–2.26 Å. In the second Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four equivalent MgO6 octahedra, a cornercorner with one RbO5 square pyramid, corners with four equivalent MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are one shorter (2.01 Å) and four longer (2.26 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.10–2.21 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent HfO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are four shorter (2.16 Å) and two longer (2.18 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, edges with eight MgO6 octahedra, an edgeedge with one RbO5 square pyramid, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–16°. There are a spread of Mg–O bond distances ranging from 2.14–2.23 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Mg–O bond distances ranging from 2.16–2.20 Å. In the seventh Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one RbO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mg–O bond distances ranging from 2.11–2.22 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one HfO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.10–2.23 Å. In the ninth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, an edgeedge with one RbO5 square pyramid, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Mg–O bond distances ranging from 2.12–2.19 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.10–2.25 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Hf–O bond distances ranging from 2.10–2.13 Å. There are eleven inequivalent O sites. In the first O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OMg6 octahedra and edges with twelve OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O site, O is bonded to one Rb and five Mg atoms to form a mixture of corner and edge-sharing ORbMg5 octahedra. The corner-sharing octahedral tilt angles are 5°. In the fourth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O site, O is bonded to five Mg and one Hf atom to form a mixture of corner and edge-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the eighth O site, O is bonded to one Rb and five Mg atoms to form ORbMg5 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the ninth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the tenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°.

36 MATERIALS SCIENCE↗
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Materials Data on HfAl2Zn by Materials Project

HfZnAl2 is beta Cu3Ti-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Hf is bonded to four equivalent Zn and eight equivalent Al atoms to form HfAl8Zn4 cuboctahedra that share corners with twelve equivalent HfAl8Zn4 cuboctahedra, edges with eight equivalent ZnHf4Al8 cuboctahedra, edges with sixteen equivalent AlHf4Al4Zn4 cuboctahedra, faces with four equivalent ZnHf4Al8 cuboctahedra, faces with six equivalent HfAl8Zn4 cuboctahedra, and faces with eight equivalent AlHf4Al4Zn4 cuboctahedra. All Hf–Zn bond lengths are 2.88 Å. All Hf–Al bond lengths are 2.86 Å. Zn is bonded to four equivalent Hf and eight equivalent Al atoms to form ZnHf4Al8 cuboctahedra that share corners with twelve equivalent ZnHf4Al8 cuboctahedra, edges with eight equivalent HfAl8Zn4 cuboctahedra, edges with sixteen equivalent AlHf4Al4Zn4 cuboctahedra, faces with four equivalent HfAl8Zn4 cuboctahedra, faces with six equivalent ZnHf4Al8 cuboctahedra, and faces with eight equivalent AlHf4Al4Zn4 cuboctahedra. All Zn–Al bond lengths are 2.86 Å. Al is bonded to four equivalent Hf, four equivalent Zn, and four equivalent Al atoms to form AlHf4Al4Zn4 cuboctahedra that share corners with twelve equivalent AlHf4Al4Zn4 cuboctahedra, edges with eight equivalent HfAl8Zn4 cuboctahedra, edges with eight equivalent ZnHf4Al8 cuboctahedra, edges with eight equivalent AlHf4Al4Zn4 cuboctahedra, faces with four equivalent HfAl8Zn4 cuboctahedra, faces with four equivalent ZnHf4Al8 cuboctahedra, and faces with ten equivalent AlHf4Al4Zn4 cuboctahedra. All Al–Al bond lengths are 2.88 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2RePd by Materials Project

Hf2RePd crystallizes in the orthorhombic Immm space group. The structure is one-dimensional and consists of two Hf2RePd ribbons oriented in the (1, 0, 0) direction. Hf is bonded in a linear geometry to one Re and one Pd atom. The Hf–Re bond length is 2.32 Å. The Hf–Pd bond length is 2.55 Å. Re is bonded in a linear geometry to two equivalent Hf atoms. Pd is bonded in a linear geometry to two equivalent Hf atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2FeRh by Materials Project

Hf2FeRh crystallizes in the orthorhombic Immm space group. The structure is one-dimensional and consists of two Hf2FeRh ribbons oriented in the (1, 0, 0) direction. Hf is bonded in a linear geometry to one Fe and one Rh atom. The Hf–Fe bond length is 2.11 Å. The Hf–Rh bond length is 2.32 Å. Fe is bonded in a linear geometry to two equivalent Hf atoms. Rh is bonded in a linear geometry to two equivalent Hf atoms.

36 MATERIALS SCIENCE↗
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Materials Data on HfZrMo4 by Materials Project

HfZrMo4 is Cubic Laves-derived structured and crystallizes in the cubic F-43m space group. The structure is three-dimensional. Hf is bonded in a 12-coordinate geometry to four equivalent Zr and twelve equivalent Mo atoms. All Hf–Zr bond lengths are 3.30 Å. All Hf–Mo bond lengths are 3.16 Å. Zr is bonded in a 12-coordinate geometry to four equivalent Hf and twelve equivalent Mo atoms. All Zr–Mo bond lengths are 3.16 Å. Mo is bonded to three equivalent Hf, three equivalent Zr, and six equivalent Mo atoms to form a mixture of corner, edge, and face-sharing MoHf3Zr3Mo6 cuboctahedra. All Mo–Mo bond lengths are 2.69 Å.

36 MATERIALS SCIENCE↗
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Materials Data on Pm3Hf by Materials Project

Pm3Hf is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. there are two inequivalent Pm sites. In the first Pm site, Pm is bonded to eight Pm and four equivalent Hf atoms to form PmPm8Hf4 cuboctahedra that share corners with twelve equivalent PmPm8Hf4 cuboctahedra, edges with eight equivalent HfPm12 cuboctahedra, edges with sixteen PmPm8Hf4 cuboctahedra, faces with four equivalent HfPm12 cuboctahedra, and faces with fourteen PmPm8Hf4 cuboctahedra. All Pm–Pm bond lengths are 3.51 Å. All Pm–Hf bond lengths are 3.51 Å. In the second Pm site, Pm is bonded to eight equivalent Pm and four equivalent Hf atoms to form PmPm8Hf4 cuboctahedra that share corners with four equivalent PmPm8Hf4 cuboctahedra, corners with eight equivalent HfPm12 cuboctahedra, edges with twenty-four PmPm8Hf4 cuboctahedra, faces with six equivalent HfPm12 cuboctahedra, and faces with twelve PmPm8Hf4 cuboctahedra. All Pm–Hf bond lengths are 3.51 Å. Hf is bonded to twelve Pm atoms to form HfPm12 cuboctahedra that share corners with four equivalent HfPm12 cuboctahedra, corners with eight equivalent PmPm8Hf4 cuboctahedra, edges with eight equivalent HfPm12 cuboctahedra, edges with sixteen equivalent PmPm8Hf4 cuboctahedra, faces with four equivalent HfPm12 cuboctahedra, and faces with fourteen PmPm8Hf4 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on HfFeAs by Materials Project

HfFeAs crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Hf is bonded in a 5-coordinate geometry to six equivalent Fe and five equivalent As atoms. There are a spread of Hf–Fe bond distances ranging from 2.83–3.03 Å. There are two shorter (2.74 Å) and three longer (2.75 Å) Hf–As bond lengths. Fe is bonded in a 4-coordinate geometry to six equivalent Hf and four equivalent As atoms. There are a spread of Fe–As bond distances ranging from 2.38–2.46 Å. As is bonded in a 9-coordinate geometry to five equivalent Hf and four equivalent Fe atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on YHfMg14O16 by Materials Project

Mg14YHfO16 is alpha Po-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.09 Å) and four longer (2.20 Å) Mg–O bond lengths. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent HfO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.10 Å) and four longer (2.20 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent YO6 octahedra, edges with two equivalent HfO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.15–2.24 Å. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.18–2.21 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent YO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.07–2.31 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent HfO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.27 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent HfO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.27 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.10–2.29 Å. Y is bonded to six O atoms to form YO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent YO6 octahedra, corners with two equivalent HfO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Y–O bond distances ranging from 2.20–2.30 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent YO6 octahedra, corners with two equivalent HfO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Hf–O bond distances ranging from 2.16–2.28 Å. There are nine inequivalent O sites. In the first O site, O is bonded to five Mg and one Y atom to form OYMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the third O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fourth O site, O is bonded to four Mg and two equivalent Y atoms to form OY2Mg4 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifth O site, O is bonded to four Mg and two equivalent Hf atoms to form OHf2Mg4 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OHfMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHf2Mg4 octahedra and edges with twelve OHfMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to four Mg, one Y, and one Hf atom to form OYHfMg4 octahedra that share corners with six OYHfMg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OYHfMg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Nd3Hf by Materials Project

Nd3Hf is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. there are two inequivalent Nd sites. In the first Nd site, Nd is bonded to eight Nd and four equivalent Hf atoms to form NdNd8Hf4 cuboctahedra that share corners with twelve equivalent NdNd8Hf4 cuboctahedra, edges with eight equivalent HfNd12 cuboctahedra, edges with sixteen NdNd8Hf4 cuboctahedra, faces with four equivalent HfNd12 cuboctahedra, and faces with fourteen NdNd8Hf4 cuboctahedra. There are four shorter (3.53 Å) and four longer (3.54 Å) Nd–Nd bond lengths. All Nd–Hf bond lengths are 3.53 Å. In the second Nd site, Nd is bonded to eight equivalent Nd and four equivalent Hf atoms to form NdNd8Hf4 cuboctahedra that share corners with four equivalent NdNd8Hf4 cuboctahedra, corners with eight equivalent HfNd12 cuboctahedra, edges with twenty-four NdNd8Hf4 cuboctahedra, faces with six equivalent HfNd12 cuboctahedra, and faces with twelve NdNd8Hf4 cuboctahedra. All Nd–Hf bond lengths are 3.54 Å. Hf is bonded to twelve Nd atoms to form HfNd12 cuboctahedra that share corners with four equivalent HfNd12 cuboctahedra, corners with eight equivalent NdNd8Hf4 cuboctahedra, edges with eight equivalent HfNd12 cuboctahedra, edges with sixteen equivalent NdNd8Hf4 cuboctahedra, faces with four equivalent HfNd12 cuboctahedra, and faces with fourteen NdNd8Hf4 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf6Ga16Pd7 by Materials Project

Hf6Pd7Ga16 crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Hf is bonded in a 4-coordinate geometry to four equivalent Pd and four equivalent Ga atoms. All Hf–Pd bond lengths are 3.22 Å. All Hf–Ga bond lengths are 2.83 Å. There are two inequivalent Pd sites. In the first Pd site, Pd is bonded to four equivalent Hf and eight Ga atoms to form a mixture of distorted face and corner-sharing PdHf4Ga8 cuboctahedra. There are four shorter (2.55 Å) and four longer (2.72 Å) Pd–Ga bond lengths. In the second Pd site, Pd is bonded in a body-centered cubic geometry to eight equivalent Ga atoms. All Pd–Ga bond lengths are 2.63 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded in a 6-coordinate geometry to three equivalent Hf and three equivalent Pd atoms. In the second Ga site, Ga is bonded in a 4-coordinate geometry to four Pd atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2CoCu by Materials Project

Hf2CoCu crystallizes in the orthorhombic Immm space group. The structure is one-dimensional and consists of two Hf2CoCu ribbons oriented in the (0, 1, 0) direction. Hf is bonded in a linear geometry to one Co and one Cu atom. The Hf–Co bond length is 2.15 Å. The Hf–Cu bond length is 2.67 Å. Co is bonded in a linear geometry to two equivalent Hf atoms. Cu is bonded in a linear geometry to two equivalent Hf atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on HfMg6C by Materials Project

Mg6HfC crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are four inequivalent Mg sites. In the first Mg site, Mg is bonded in a single-bond geometry to six Mg and one C atom. There are a spread of Mg–Mg bond distances ranging from 2.92–3.47 Å. The Mg–C bond length is 2.17 Å. In the second Mg site, Mg is bonded in a single-bond geometry to six Mg and one C atom. There are two shorter (3.06 Å) and four longer (3.30 Å) Mg–Mg bond lengths. The Mg–C bond length is 2.14 Å. In the third Mg site, Mg is bonded in a 11-coordinate geometry to nine Mg and two equivalent Hf atoms. There are a spread of Mg–Mg bond distances ranging from 3.07–3.33 Å. There are one shorter (3.16 Å) and one longer (3.33 Å) Mg–Hf bond lengths. In the fourth Mg site, Mg is bonded in a 10-coordinate geometry to ten Mg atoms. Hf is bonded in a linear geometry to four equivalent Mg and two equivalent C atoms. Both Hf–C bond lengths are 2.24 Å. C is bonded to three Mg and two equivalent Hf atoms to form corner-sharing CHf2Mg3 square pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2VRe by Materials Project

Hf2VRe crystallizes in the orthorhombic Immm space group. The structure is one-dimensional and consists of two Hf2VRe ribbons oriented in the (1, 0, 0) direction. Hf is bonded in a linear geometry to one V and one Re atom. The Hf–V bond length is 2.51 Å. The Hf–Re bond length is 2.35 Å. V is bonded in a linear geometry to two equivalent Hf atoms. Re is bonded in a linear geometry to two equivalent Hf atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf2VIr by Materials Project

Hf2VIr crystallizes in the orthorhombic Immm space group. The structure is one-dimensional and consists of two Hf2VIr ribbons oriented in the (1, 0, 0) direction. Hf is bonded in a linear geometry to one V and one Ir atom. The Hf–V bond length is 2.30 Å. The Hf–Ir bond length is 2.36 Å. V is bonded in a linear geometry to two equivalent Hf atoms. Ir is bonded in a linear geometry to two equivalent Hf atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LiHfMg30O31 by Materials Project

LiMg30HfO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Li is bonded to six O atoms to form LiO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent HfO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Li–O bond distances ranging from 2.18–2.21 Å. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.09–2.15 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent HfO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.09–2.14 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.08–2.15 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.13 Å) and two longer (2.15 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.14 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, edges with eight MgO6 octahedra, an edgeedge with one HfO5 square pyramid, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.07–2.21 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, an edgeedge with one LiO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Mg–O bond distances ranging from 2.06–2.17 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.12–2.16 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one LiO6 octahedra, edges with nine MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one HfO5 square pyramid. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Mg–O bond distances ranging from 2.08–2.20 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one LiO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.16 Å. In the fourteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.10–2.21 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one HfO5 square pyramid. The corner-sharing octahedral tilt angles are 1°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. Hf is bonded to five O atoms to form HfO5 square pyramids that share corners with two equivalent LiO6 octahedra, corners with two equivalent MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Hf–O bond distances ranging from 2.07–2.25 Å. There are seventeen inequivalent O sites. In the first O site, O is bonded to one Li and five Mg atoms to form a mixture of edge and corner-sharing OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth O site, O is bonded to one Li and five Mg atoms to form OLiMg5 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with four OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the sixth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventh O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the tenth O site, O is bonded to one Li, four Mg, and one Hf atom to form OLiHfMg4 octahedra that share corners with six OMg6 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the thirteenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourteenth O site, O is bonded to one Li and five Mg atoms to form OLiMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifteenth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventeenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗