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Microstructural and Creep Properties of Boron- and Zirconium-Containing Cobalt-Based Superalloys

The effects of micro-additions of boron and zirconium on grain-boundary (GB) structure and strength inpolycrystalline γ(f.c.c.) plus γ’(L12) strengthened Co-9.5Al-7.5W-X at. % alloys (X=0-Ternary, 0.05B, 0.01B,0.05Zr, and 0.005B-0.05Zr at. %) are studied. Creep tests performed at 850 °C demonstrate that GB strength and cohesion limit the creep resistance and ductility of the ternary B- and Zr-free alloy due to intergranular fracture. Alloys with 0.05B and 0.005B-0.05Zr both exhibit improved creep strength due to enhanced GB cohesion,compared to the baseline ternary Co-9.5Al-7.5W alloy, but alloys containing 0.01B or 0.05Zr additions displayed no benefit. Atom-probe tomography (APT) is utilized to measure GB segregation, where B and Zr are demonstrated to segregate at GBs. A Gibbsian interfacial excess of 5.57 ± 1.04 atoms nm(exp) -2 was found for B at aGB in the 0.01B alloy and 2.88 ± 0.81 and 2.40 ± 0.84 atoms nm2 for B and Zr, respectively, for the 0.005B-0.05Zr alloy. The GBs in the highest B-containing (0.05B) alloy exhibit micrometer-sized boride precipitates with adjacent precipitate denuded-zones (PDZs), whereas secondary precipitation at the GBs is absent in theother four alloys. The 0.05B alloy has the smallest room temperature yield strength, by 6%, which is attributedto the PDZs, but it exhibits the largest increase in creep strength (with an ~2.5 order of magnitude decrease inthe minimum strain rate for a given stress at 850 °C) over the baseline Co-9.5Al-7.5W alloy.

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Materials Data on ZrMn2 by Materials Project

ZrMn2 is Hexagonal Laves structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr and twelve Mn atoms. There are three shorter (3.04 Å) and one longer (3.07 Å) Zr–Zr bond lengths. There are nine shorter (2.90 Å) and three longer (2.95 Å) Zr–Mn bond lengths. There are two inequivalent Mn sites. In the first Mn site, Mn is bonded to six equivalent Zr and six equivalent Mn atoms to form a mixture of corner, edge, and face-sharing MnZr6Mn6 cuboctahedra. All Mn–Mn bond lengths are 2.52 Å. In the second Mn site, Mn is bonded to six equivalent Zr and six Mn atoms to form a mixture of corner, edge, and face-sharing MnZr6Mn6 cuboctahedra. There are two shorter (2.42 Å) and two longer (2.51 Å) Mn–Mn bond lengths.

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Materials Data on ZrCr2 by Materials Project

ZrCr2 is Hexagonal Laves structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr and twelve Cr atoms. All Zr–Zr bond lengths are 3.09 Å. There are three shorter (2.91 Å) and nine longer (2.98 Å) Zr–Cr bond lengths. There are two inequivalent Cr sites. In the first Cr site, Cr is bonded to six equivalent Zr and six equivalent Cr atoms to form a mixture of face, edge, and corner-sharing CrZr6Cr6 cuboctahedra. All Cr–Cr bond lengths are 2.51 Å. In the second Cr site, Cr is bonded to six equivalent Zr and six Cr atoms to form a mixture of face, edge, and corner-sharing CrZr6Cr6 cuboctahedra. There are two shorter (2.53 Å) and two longer (2.55 Å) Cr–Cr bond lengths.

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Materials Data on ZrAl2 by Materials Project

ZrAl2 is Hexagonal Laves structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr and twelve Al atoms. There are three shorter (3.26 Å) and one longer (3.27 Å) Zr–Zr bond lengths. There are nine shorter (3.11 Å) and three longer (3.14 Å) Zr–Al bond lengths. There are two inequivalent Al sites. In the first Al site, Al is bonded to six equivalent Zr and six equivalent Al atoms to form a mixture of corner, edge, and face-sharing AlZr6Al6 cuboctahedra. All Al–Al bond lengths are 2.70 Å. In the second Al site, Al is bonded to six equivalent Zr and six Al atoms to form a mixture of corner, edge, and face-sharing AlZr6Al6 cuboctahedra. There are two shorter (2.58 Å) and two longer (2.71 Å) Al–Al bond lengths.

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Materials Data on Zr2Nb3Ge4 by Materials Project

Zr2Nb3Ge4 is delta Molybdenum Boride-derived structured and crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Zr is bonded in a 6-coordinate geometry to two equivalent Nb and six Ge atoms. There are one shorter (3.04 Å) and one longer (3.11 Å) Zr–Nb bond lengths. There are a spread of Zr–Ge bond distances ranging from 2.63–2.85 Å. There are two inequivalent Nb sites. In the first Nb site, Nb is bonded in a 7-coordinate geometry to seven Ge atoms. There are a spread of Nb–Ge bond distances ranging from 2.73–3.12 Å. In the second Nb site, Nb is bonded in a 6-coordinate geometry to four equivalent Zr and six Ge atoms. There are a spread of Nb–Ge bond distances ranging from 2.61–2.93 Å. There are three inequivalent Ge sites. In the first Ge site, Ge is bonded in a 9-coordinate geometry to two equivalent Zr, six Nb, and one Ge atom. The Ge–Ge bond length is 2.60 Å. In the second Ge site, Ge is bonded in a 9-coordinate geometry to four equivalent Zr, four Nb, and one Ge atom. In the third Ge site, Ge is bonded in a 7-coordinate geometry to three equivalent Zr and five Nb atoms.

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Materials Data on Ba3Zr6BeCl18 by Materials Project

Ba3BeZr6Cl18 crystallizes in the trigonal R-3c space group. The structure is three-dimensional. there are two inequivalent Ba sites. In the first Ba site, Ba is bonded in a 3-coordinate geometry to nine Cl atoms. There are three shorter (3.14 Å) and six longer (3.56 Å) Ba–Cl bond lengths. In the second Ba site, Ba is bonded to six equivalent Cl atoms to form distorted BaCl6 octahedra that share corners with six equivalent ZrBeCl5 octahedra. The corner-sharing octahedral tilt angles are 61°. All Ba–Cl bond lengths are 3.18 Å. Be is bonded in an octahedral geometry to six equivalent Zr atoms. All Be–Zr bond lengths are 2.35 Å. Zr is bonded to one Be and five Cl atoms to form ZrBeCl5 octahedra that share a cornercorner with one BaCl6 octahedra, a cornercorner with one ZrBeCl5 octahedra, and edges with four equivalent ZrBeCl5 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. There are a spread of Zr–Cl bond distances ranging from 2.57–2.74 Å. There are three inequivalent Cl sites. In the first Cl site, Cl is bonded in a 2-coordinate geometry to one Ba and two equivalent Zr atoms. In the second Cl site, Cl is bonded in a 2-coordinate geometry to one Ba and two equivalent Zr atoms. In the third Cl site, Cl is bonded in a distorted trigonal planar geometry to two Ba and one Zr atom.

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Materials Data on CeZr7O16 by Materials Project

CeZr7O16 is Baddeleyite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. Ce4+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share corners with four ZrO7 pentagonal bipyramids and edges with seven ZrO7 pentagonal bipyramids. There are a spread of Ce–O bond distances ranging from 2.18–2.43 Å. There are seven inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one CeO7 pentagonal bipyramid, corners with three ZrO7 pentagonal bipyramids, an edgeedge with one CeO7 pentagonal bipyramid, and edges with six ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.07–2.34 Å. In the second Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with four ZrO7 pentagonal bipyramids, an edgeedge with one CeO7 pentagonal bipyramid, and edges with six ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.07–2.34 Å. In the third Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with four ZrO7 pentagonal bipyramids, edges with two equivalent CeO7 pentagonal bipyramids, and edges with five ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.10–2.34 Å. In the fourth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one CeO7 pentagonal bipyramid, corners with three ZrO7 pentagonal bipyramids, an edgeedge with one CeO7 pentagonal bipyramid, and edges with six ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.05–2.34 Å. In the fifth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one CeO7 pentagonal bipyramid, corners with three ZrO7 pentagonal bipyramids, an edgeedge with one CeO7 pentagonal bipyramid, and edges with six ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.08–2.34 Å. In the sixth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.09–2.30 Å. In the seventh Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one CeO7 pentagonal bipyramid, corners with three ZrO7 pentagonal bipyramids, an edgeedge with one CeO7 pentagonal bipyramid, and edges with six ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.08–2.27 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with four OZr4 tetrahedra and edges with four OCeZr3 tetrahedra. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ce4+ and two Zr4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Zr4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Zr4+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ce4+ and two Zr4+ atoms. In the sixth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OCeZr3 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with four OZr4 tetrahedra and edges with four OCeZr3 tetrahedra. In the eighth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with four OZr4 tetrahedra and edges with four OCeZr3 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with four OCeZr3 tetrahedra and edges with four OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form OCeZr3 tetrahedra that share corners with four OCeZr3 tetrahedra and edges with four OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form OCeZr3 tetrahedra that share corners with four OZr4 tetrahedra and edges with four OCeZr3 tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Zr4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ce4+ and two Zr4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Zr4+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ atoms. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra.

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Materials Data on CeZr6O14 by Materials Project

CeZr6O14 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.23–2.49 Å. There are seven inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.40 Å. In the second Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.44 Å. In the third Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.44 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.40 Å. In the fifth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.44 Å. In the sixth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.43 Å. In the seventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.41 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OCeZr3 tetrahedra and edges with six OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OCeZr3 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to two equivalent Ce4+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OCe2Zr2 tetrahedra. In the sixth O2- site, O2- is bonded to two equivalent Ce4+ and two Zr4+ atoms to form OCe2Zr2 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OCeZr3 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OCe2Zr2 tetrahedra and edges with six OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OCe2Zr2 tetrahedra and edges with six OCeZr3 tetrahedra. In the ninth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with sixteen OCeZr3 tetrahedra and edges with six OCe2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with sixteen OCeZr3 tetrahedra and edges with six OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OCeZr3 tetrahedra. In the twelfth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with sixteen OCeZr3 tetrahedra and edges with six OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OCeZr3 tetrahedra and edges with six OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OCeZr3 tetrahedra and edges with six OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra.

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Materials Data on Sr2Zr7O16 by Materials Project

Sr2Zr7O16 crystallizes in the trigonal R-3 space group. The structure is three-dimensional. there are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–2.66 Å. In the second Sr2+ site, Sr2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–2.66 Å. In the third Sr2+ site, Sr2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–2.66 Å. In the fourth Sr2+ site, Sr2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–2.66 Å. There are seven inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, corners with two equivalent ZrO7 pentagonal bipyramids, and edges with seven ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of Zr–O bond distances ranging from 2.07–2.33 Å. In the second Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, corners with two equivalent ZrO7 pentagonal bipyramids, and edges with seven ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of Zr–O bond distances ranging from 2.07–2.33 Å. In the third Zr4+ site, Zr4+ is bonded to six equivalent O2- atoms to form corner-sharing ZrO6 octahedra. All Zr–O bond lengths are 2.14 Å. In the fourth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, corners with two equivalent ZrO7 pentagonal bipyramids, and edges with seven equivalent ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of Zr–O bond distances ranging from 2.07–2.33 Å. In the fifth Zr4+ site, Zr4+ is bonded to six equivalent O2- atoms to form corner-sharing ZrO6 octahedra. All Zr–O bond lengths are 2.14 Å. In the sixth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, corners with two equivalent ZrO7 pentagonal bipyramids, and edges with seven ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of Zr–O bond distances ranging from 2.07–2.33 Å. In the seventh Zr4+ site, Zr4+ is bonded to six equivalent O2- atoms to form corner-sharing ZrO6 octahedra. All Zr–O bond lengths are 2.14 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Sr2+ and three equivalent Zr4+ atoms to form distorted OSrZr3 tetrahedra that share corners with ten OSrZr3 tetrahedra and edges with three equivalent OZr4 tetrahedra. In the second O2- site, O2- is bonded to one Sr2+ and three equivalent Zr4+ atoms to form distorted OSrZr3 tetrahedra that share corners with ten OSrZr3 tetrahedra and edges with three equivalent OZr4 tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+ and two Zr4+ atoms. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra.

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Materials Data on ZrSc(NiSn)2 by Materials Project

ScZr(NiSn)2 is half-Heusler-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. Sc is bonded in a 4-coordinate geometry to four Ni and six Sn atoms. All Sc–Ni bond lengths are 2.68 Å. There are three shorter (3.08 Å) and three longer (3.09 Å) Sc–Sn bond lengths. Zr is bonded in a 4-coordinate geometry to four Ni and six Sn atoms. There are three shorter (2.66 Å) and one longer (2.68 Å) Zr–Ni bond lengths. There are three shorter (3.08 Å) and three longer (3.10 Å) Zr–Sn bond lengths. There are two inequivalent Ni sites. In the first Ni site, Ni is bonded in a body-centered cubic geometry to one Sc, three equivalent Zr, and four Sn atoms. There are one shorter (2.67 Å) and three longer (2.68 Å) Ni–Sn bond lengths. In the second Ni site, Ni is bonded in a body-centered cubic geometry to three equivalent Sc, one Zr, and four Sn atoms. There are three shorter (2.66 Å) and one longer (2.69 Å) Ni–Sn bond lengths. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a distorted q6 geometry to three equivalent Sc, three equivalent Zr, and four Ni atoms. In the second Sn site, Sn is bonded in a distorted q6 geometry to three equivalent Sc, three equivalent Zr, and four Ni atoms.

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Materials Data on ZrO3F5 by Materials Project

(ZrF5)2(O2)3 crystallizes in the monoclinic C2 space group. The structure is two-dimensional and consists of eight trioxidane molecules and two ZrF5 sheets oriented in the (0, 0, 1) direction. In each ZrF5 sheet, Zr is bonded in a 8-coordinate geometry to eight F atoms. There are a spread of Zr–F bond distances ranging from 1.99–2.22 Å. There are five inequivalent F sites. In the first F site, F is bonded in a bent 120 degrees geometry to two equivalent Zr atoms. In the second F site, F is bonded in a single-bond geometry to one Zr atom. In the third F site, F is bonded in a single-bond geometry to one Zr atom. In the fourth F site, F is bonded in a bent 120 degrees geometry to two equivalent Zr atoms. In the fifth F site, F is bonded in a bent 120 degrees geometry to two equivalent Zr atoms.

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Materials Data on HfZr(SbRh)2 by Materials Project

HfZr(RhSb)2 is half-Heusler-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. Hf is bonded in a body-centered cubic geometry to four Rh and four Sb atoms. There are one shorter (2.74 Å) and three longer (2.82 Å) Hf–Rh bond lengths. There are one shorter (2.80 Å) and three longer (2.81 Å) Hf–Sb bond lengths. Zr is bonded in a body-centered cubic geometry to four Rh and four Sb atoms. There are one shorter (2.82 Å) and three longer (2.84 Å) Zr–Rh bond lengths. There are three shorter (2.83 Å) and one longer (2.85 Å) Zr–Sb bond lengths. There are two inequivalent Rh sites. In the first Rh site, Rh is bonded to one Hf and three equivalent Zr atoms to form distorted RhHfZr3 tetrahedra that share corners with four equivalent SbHfZr3 tetrahedra, corners with twelve RhHfZr3 tetrahedra, and edges with six SbHf3Zr tetrahedra. In the second Rh site, Rh is bonded to three equivalent Hf and one Zr atom to form distorted RhHf3Zr tetrahedra that share corners with four equivalent SbHf3Zr tetrahedra, corners with twelve RhHfZr3 tetrahedra, and edges with six SbHf3Zr tetrahedra. There are two inequivalent Sb sites. In the first Sb site, Sb is bonded to three equivalent Hf and one Zr atom to form distorted SbHf3Zr tetrahedra that share corners with four equivalent RhHf3Zr tetrahedra, corners with twelve SbHf3Zr tetrahedra, and edges with six RhHfZr3 tetrahedra. In the second Sb site, Sb is bonded to one Hf and three equivalent Zr atoms to form distorted SbHfZr3 tetrahedra that share corners with four equivalent RhHfZr3 tetrahedra, corners with twelve SbHf3Zr tetrahedra, and edges with six RhHfZr3 tetrahedra.

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Materials Data on Zr6Be15Ni8 by Materials Project

Be15Zr6Ni8 crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are three inequivalent Be sites. In the first Be site, Be is bonded to four equivalent Be, four equivalent Zr, and four equivalent Ni atoms to form a mixture of distorted face and corner-sharing BeZr4Be4Ni4 cuboctahedra. All Be–Be bond lengths are 2.28 Å. All Be–Zr bond lengths are 2.81 Å. All Be–Ni bond lengths are 2.41 Å. In the second Be site, Be is bonded in a body-centered cubic geometry to eight equivalent Ni atoms. All Be–Ni bond lengths are 2.39 Å. In the third Be site, Be is bonded in a distorted q6 geometry to six Be, three equivalent Zr, and three equivalent Ni atoms. All Be–Be bond lengths are 2.27 Å. All Be–Zr bond lengths are 2.81 Å. All Be–Ni bond lengths are 2.35 Å. Zr is bonded in a 12-coordinate geometry to eight Be and four equivalent Ni atoms. All Zr–Ni bond lengths are 2.69 Å. Ni is bonded in a 10-coordinate geometry to seven Be and three equivalent Zr atoms.

36 MATERIALS SCIENCE↗

Materials Data on CaMg6Zr by Materials Project

CaMg6Zr crystallizes in the orthorhombic Cmmm space group. The structure is three-dimensional. Ca is bonded to twelve Mg atoms to form CaMg12 cuboctahedra that share corners with four equivalent CaMg12 cuboctahedra, corners with eight equivalent ZrMg12 cuboctahedra, edges with twenty-four MgCa2Mg8Zr2 cuboctahedra, faces with two equivalent CaMg12 cuboctahedra, faces with four equivalent ZrMg12 cuboctahedra, and faces with twelve MgCa2Mg8Zr2 cuboctahedra. There are four shorter (3.24 Å) and eight longer (3.36 Å) Ca–Mg bond lengths. There are three inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Ca, eight Mg, and two equivalent Zr atoms to form distorted MgCa2Mg8Zr2 cuboctahedra that share corners with twelve equivalent MgCa2Mg8Zr2 cuboctahedra, edges with four equivalent CaMg12 cuboctahedra, edges with four equivalent ZrMg12 cuboctahedra, edges with sixteen MgCa2Mg8Zr2 cuboctahedra, faces with two equivalent CaMg12 cuboctahedra, faces with two equivalent ZrMg12 cuboctahedra, and faces with fourteen MgCa2Mg8Zr2 cuboctahedra. All Mg–Mg bond lengths are 3.27 Å. Both Mg–Zr bond lengths are 3.24 Å. In the second Mg site, Mg is bonded to two equivalent Ca, eight Mg, and two equivalent Zr atoms to form distorted MgCa2Mg8Zr2 cuboctahedra that share corners with twelve equivalent MgCa2Mg8Zr2 cuboctahedra, edges with four equivalent CaMg12 cuboctahedra, edges with four equivalent ZrMg12 cuboctahedra, edges with sixteen MgCa2Mg8Zr2 cuboctahedra, faces with two equivalent CaMg12 cuboctahedra, faces with two equivalent ZrMg12 cuboctahedra, and faces with fourteen MgCa2Mg8Zr2 cuboctahedra. There are two shorter (3.05 Å) and two longer (3.42 Å) Mg–Mg bond lengths. Both Mg–Zr bond lengths are 3.17 Å. In the third Mg site, Mg is bonded to two equivalent Ca, eight Mg, and two equivalent Zr atoms to form distorted MgCa2Mg8Zr2 cuboctahedra that share corners with twelve equivalent MgCa2Mg8Zr2 cuboctahedra, edges with four equivalent CaMg12 cuboctahedra, edges with four equivalent ZrMg12 cuboctahedra, edges with sixteen MgCa2Mg8Zr2 cuboctahedra, faces with two equivalent CaMg12 cuboctahedra, faces with two equivalent ZrMg12 cuboctahedra, and faces with fourteen MgCa2Mg8Zr2 cuboctahedra. Both Mg–Zr bond lengths are 3.18 Å. Zr is bonded to twelve Mg atoms to form ZrMg12 cuboctahedra that share corners with four equivalent ZrMg12 cuboctahedra, corners with eight equivalent CaMg12 cuboctahedra, edges with twenty-four MgCa2Mg8Zr2 cuboctahedra, faces with two equivalent ZrMg12 cuboctahedra, faces with four equivalent CaMg12 cuboctahedra, and faces with twelve MgCa2Mg8Zr2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Zr6Be15Co8 by Materials Project

Be15Zr6Co8 crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are three inequivalent Be sites. In the first Be site, Be is bonded to four equivalent Be, four equivalent Zr, and four equivalent Co atoms to form a mixture of face and corner-sharing BeZr4Be4Co4 cuboctahedra. All Be–Be bond lengths are 2.26 Å. All Be–Zr bond lengths are 2.78 Å. All Be–Co bond lengths are 2.38 Å. In the second Be site, Be is bonded in a body-centered cubic geometry to eight equivalent Co atoms. All Be–Co bond lengths are 2.38 Å. In the third Be site, Be is bonded in a distorted q6 geometry to six Be, three equivalent Zr, and three equivalent Co atoms. All Be–Be bond lengths are 2.22 Å. All Be–Zr bond lengths are 2.81 Å. All Be–Co bond lengths are 2.32 Å. Zr is bonded in a 12-coordinate geometry to eight Be and four equivalent Co atoms. All Zr–Co bond lengths are 2.65 Å. Co is bonded in a 10-coordinate geometry to seven Be and three equivalent Zr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg6ZrB by Materials Project

Mg6ZrB 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 1-coordinate geometry to eight Mg, two equivalent Zr, and one B atom. There are a spread of Mg–Mg bond distances ranging from 2.75–3.31 Å. There are one shorter (3.38 Å) and one longer (3.45 Å) Mg–Zr bond lengths. The Mg–B bond length is 2.86 Å. In the second Mg site, Mg is bonded in a 2-coordinate geometry to three Mg and two equivalent B atoms. The Mg–Mg bond length is 3.23 Å. Both Mg–B bond lengths are 2.78 Å. In the third Mg site, Mg is bonded in a 10-coordinate geometry to eight Mg and two equivalent Zr atoms. Both Mg–Mg bond lengths are 2.87 Å. Both Mg–Zr bond lengths are 3.01 Å. In the fourth Mg site, Mg is bonded in a 2-coordinate geometry to six Mg and two equivalent B atoms. Both Mg–B bond lengths are 2.92 Å. Zr is bonded in a distorted bent 150 degrees geometry to six Mg and two equivalent B atoms. Both Zr–B bond lengths are 2.84 Å. B is bonded in a 10-coordinate geometry to eight Mg and two equivalent Zr atoms.

36 MATERIALS SCIENCE↗

Materials Data on HfZr(CoSb)2 by Materials Project

HfZr(CoSb)2 is half-Heusler-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. Hf is bonded in a body-centered cubic geometry to four Co and four Sb atoms. There are one shorter (2.76 Å) and three longer (2.80 Å) Hf–Co bond lengths. There are one shorter (2.78 Å) and three longer (2.79 Å) Hf–Sb bond lengths. Zr is bonded in a body-centered cubic geometry to four Co and four Sb atoms. There are three shorter (2.81 Å) and one longer (2.82 Å) Zr–Co bond lengths. All Zr–Sb bond lengths are 2.82 Å. There are two inequivalent Co sites. In the first Co site, Co is bonded to one Hf and three equivalent Zr atoms to form distorted CoHfZr3 tetrahedra that share corners with four equivalent SbHfZr3 tetrahedra, corners with twelve CoHfZr3 tetrahedra, and edges with six SbHf3Zr tetrahedra. In the second Co site, Co is bonded to three equivalent Hf and one Zr atom to form distorted CoHf3Zr tetrahedra that share corners with four equivalent SbHf3Zr tetrahedra, corners with twelve CoHfZr3 tetrahedra, and edges with six SbHf3Zr tetrahedra. There are two inequivalent Sb sites. In the first Sb site, Sb is bonded to three equivalent Hf and one Zr atom to form distorted SbHf3Zr tetrahedra that share corners with four equivalent CoHf3Zr tetrahedra, corners with twelve SbHf3Zr tetrahedra, and edges with six CoHfZr3 tetrahedra. In the second Sb site, Sb is bonded to one Hf and three equivalent Zr atoms to form distorted SbHfZr3 tetrahedra that share corners with four equivalent CoHfZr3 tetrahedra, corners with twelve SbHf3Zr tetrahedra, and edges with six CoHfZr3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Zr6Be15Cu8 by Materials Project

Be15Zr6Cu8 crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are three inequivalent Be sites. In the first Be site, Be is bonded to four equivalent Be, four equivalent Zr, and four equivalent Cu atoms to form distorted BeZr4Be4Cu4 cuboctahedra that share corners with twelve BeZr3Be6Cu3 cuboctahedra and faces with sixteen BeZr4Be4Cu4 cuboctahedra. All Be–Be bond lengths are 2.29 Å. All Be–Zr bond lengths are 2.84 Å. All Be–Cu bond lengths are 2.43 Å. In the second Be site, Be is bonded in a body-centered cubic geometry to eight equivalent Cu atoms. All Be–Cu bond lengths are 2.39 Å. In the third Be site, Be is bonded to six Be, three equivalent Zr, and three equivalent Cu atoms to form distorted BeZr3Be6Cu3 cuboctahedra that share corners with twelve BeZr4Be4Cu4 cuboctahedra and faces with twelve BeZr3Be6Cu3 cuboctahedra. All Be–Be bond lengths are 2.32 Å. All Be–Zr bond lengths are 2.81 Å. All Be–Cu bond lengths are 2.39 Å. Zr is bonded in a 12-coordinate geometry to eight Be and four equivalent Cu atoms. All Zr–Cu bond lengths are 2.75 Å. Cu is bonded in a 10-coordinate geometry to seven Be and three equivalent Zr atoms.

36 MATERIALS SCIENCE↗