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DOE OSTI2020

Materials Data on Zr2Al3Co by Materials Project

Zr2CoAl3 crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr, three equivalent Co, and nine equivalent Al atoms. There are three shorter (3.19 Å) and one longer (3.20 Å) Zr–Zr bond lengths. All Zr–Co bond lengths are 3.08 Å. There are three shorter (2.98 Å) and six longer (3.08 Å) Zr–Al bond lengths. Co is bonded to six equivalent Zr and six equivalent Al atoms to form CoZr6Al6 cuboctahedra that share corners with six equivalent CoZr6Al6 cuboctahedra, corners with twelve equivalent AlZr6Al4Co2 cuboctahedra, edges with six equivalent CoZr6Al6 cuboctahedra, and faces with eighteen equivalent AlZr6Al4Co2 cuboctahedra. All Co–Al bond lengths are 2.57 Å. Al is bonded to six equivalent Zr, two equivalent Co, and four equivalent Al atoms to form AlZr6Al4Co2 cuboctahedra that share corners with four equivalent CoZr6Al6 cuboctahedra, corners with fourteen equivalent AlZr6Al4Co2 cuboctahedra, edges with six equivalent AlZr6Al4Co2 cuboctahedra, faces with six equivalent CoZr6Al6 cuboctahedra, and faces with twelve equivalent AlZr6Al4Co2 cuboctahedra. All Al–Al bond lengths are 2.63 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na2ZrSi3O10 by Materials Project

Na2ZrSi3O10 crystallizes in the orthorhombic P2_12_12_1 space group. The structure is three-dimensional. there are two inequivalent Na sites. In the first Na site, Na is bonded to five O atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one ZrO6 octahedra, corners with three SiO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, and an edgeedge with one ZrO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Na–O bond distances ranging from 2.33–2.83 Å. In the second Na site, Na is bonded in a 4-coordinate geometry to three O atoms. There are a spread of Na–O bond distances ranging from 2.39–2.51 Å. Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six SiO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Zr–O bond distances ranging from 2.09–2.17 Å. There are three inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent ZrO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent ZrO6 octahedra, corners with two SiO4 tetrahedra, and corners with two equivalent NaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent ZrO6 octahedra, corners with two SiO4 tetrahedra, and a cornercorner with one NaO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. There are ten inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one Si atom. In the second O site, O is bonded in a distorted trigonal planar geometry to one Na, one Zr, and one Si atom. In the third O site, O is bonded in a distorted trigonal non-coplanar geometry to one Na, one Zr, and one Si atom. In the fourth O site, O is bonded in a distorted trigonal planar geometry to one Na, one Zr, and one Si atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to two equivalent Na atoms. In the sixth O site, O is bonded in a distorted bent 120 degrees geometry to two Si atoms. In the seventh O site, O is bonded in a bent 120 degrees geometry to two Si atoms. In the eighth O site, O is bonded in a distorted trigonal planar geometry to one Na, one Zr, and one Si atom. In the ninth O site, O is bonded in a bent 120 degrees geometry to two Si atoms. In the tenth O site, O is bonded in a distorted trigonal planar geometry to one Na, one Zr, and one Si atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na5Ca7Zr2Ti2Si8(O5F)6 by Materials Project

Na5Ca7Zr2Ti2Si8(O5F)6 is Esseneite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 8-coordinate geometry to seven O2- and one F1- atom. There are a spread of Na–O bond distances ranging from 2.37–2.83 Å. The Na–F bond length is 2.34 Å. In the second Na1+ site, Na1+ is bonded to three O2- and three F1- atoms to form distorted NaO3F3 octahedra that share a cornercorner with one ZrO6 octahedra, corners with two CaO5F octahedra, corners with two SiO4 tetrahedra, an edgeedge with one NaO6F2 hexagonal bipyramid, an edgeedge with one CaO6F2 hexagonal bipyramid, edges with two equivalent CaO3F3 octahedra, and edges with two TiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 65–69°. There are a spread of Na–O bond distances ranging from 2.36–2.61 Å. There are a spread of Na–F bond distances ranging from 2.34–2.44 Å. In the third Na1+ site, Na1+ is bonded to six O2- and two equivalent F1- atoms to form distorted NaO6F2 hexagonal bipyramids that share corners with two equivalent CaO5F octahedra, edges with two equivalent NaO3F3 octahedra, edges with two equivalent CaO3F3 octahedra, edges with two equivalent TiO4F2 octahedra, and edges with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Na–O bond distances ranging from 2.57–2.68 Å. Both Na–F bond lengths are 2.25 Å. There are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to five O2- and one F1- atom to form distorted CaO5F octahedra that share a cornercorner with one NaO6F2 hexagonal bipyramid, a cornercorner with one NaO3F3 octahedra, a cornercorner with one CaO3F3 octahedra, corners with five SiO4 tetrahedra, an edgeedge with one ZrO6 octahedra, and edges with two equivalent CaO5F octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Ca–O bond distances ranging from 2.34–2.59 Å. The Ca–F bond length is 2.29 Å. In the second Ca2+ site, Ca2+ is bonded to three O2- and three F1- atoms to form distorted CaO3F3 octahedra that share a cornercorner with one ZrO6 octahedra, corners with two CaO5F octahedra, corners with two SiO4 tetrahedra, an edgeedge with one NaO6F2 hexagonal bipyramid, an edgeedge with one CaO6F2 hexagonal bipyramid, edges with two equivalent NaO3F3 octahedra, and edges with two TiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 55–68°. There are a spread of Ca–O bond distances ranging from 2.37–2.41 Å. There are a spread of Ca–F bond distances ranging from 2.26–2.33 Å. In the third Ca2+ site, Ca2+ is bonded to five O2- and one F1- atom to form CaO5F octahedra that share a cornercorner with one NaO3F3 octahedra, a cornercorner with one CaO3F3 octahedra, a cornercorner with one TiO4F2 octahedra, corners with five SiO4 tetrahedra, an edgeedge with one ZrO6 octahedra, and edges with two equivalent CaO5F octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Ca–O bond distances ranging from 2.30–2.49 Å. The Ca–F bond length is 2.40 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- and two equivalent F1- atoms to form distorted CaO6F2 hexagonal bipyramids that share edges with two equivalent NaO3F3 octahedra, edges with two equivalent CaO3F3 octahedra, edges with two equivalent TiO6 octahedra, and edges with four SiO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.46–2.61 Å. Both Ca–F bond lengths are 2.22 Å. Zr+3.50+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one NaO3F3 octahedra, a cornercorner with one CaO3F3 octahedra, a cornercorner with one TiO6 octahedra, corners with five SiO4 tetrahedra, and edges with two CaO5F octahedra. The corner-sharing octahedra tilt angles range from 44–69°. There are a spread of Zr–O bond distances ranging from 2.05–2.28 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to four O2- and two equivalent F1- atoms to form TiO4F2 octahedra that share corners with two equivalent CaO5F octahedra, corners with four SiO4 tetrahedra, edges with two equivalent NaO6F2 hexagonal bipyramids, edges with two equivalent NaO3F3 octahedra, and edges with two equivalent CaO3F3 octahedra. The corner-sharing octahedral tilt angles are 55°. There is two shorter (1.95 Å) and two longer (2.04 Å) Ti–O bond length. Both Ti–F bond lengths are 2.07 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent ZrO6 octahedra, corners with four SiO4 tetrahedra, edges with two equivalent CaO6F2 hexagonal bipyramids, edges with two equivalent NaO3F3 octahedra, and edges with two equivalent CaO3F3 octahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ti–O bond distances ranging from 1.98–2.02 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO4F2 octahedra, corners with two equivalent ZrO6 octahedra, corners with three CaO5F octahedra, a cornercorner with one SiO4 tetrahedra, and an edgeedge with one NaO6F2 hexagonal bipyramid. The corner-sharing octahedra tilt angles range from 31–77°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NaO3F3 octahedra, a cornercorner with one ZrO6 octahedra, a cornercorner with one TiO6 octahedra, corners with three CaO5F octahedra, a cornercorner with one SiO4 tetrahedra, and an edgeedge with one CaO6F2 hexagonal bipyramid. The corner-sharing octahedra tilt angles range from 41–72°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra, a cornercorner with one TiO6 octahedra, corners with four CaO5F octahedra, a cornercorner with one SiO4 tetrahedra, and an edgeedge with one CaO6F2 hexagonal bipyramid. The corner-sharing octahedra tilt angles range from 41–68°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NaO3F3 octahedra, a cornercorner with one ZrO6 octahedra, a cornercorner with one TiO4F2 octahedra, corners with two CaO5F octahedra, a cornercorner with one SiO4 tetrahedra, and an edgeedge with one NaO6F2 hexagonal bipyramid. The corner-sharing octahedra tilt angles range from 33–74°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two Si4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Zr+3.50+, and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Zr+3.50+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.50+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.50+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Zr+3.50+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+, one Ca2+, one Zr+3.50+, and one Ti4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ca2+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ca2+, and two Si4+ atoms. There are three inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ca2+ atoms. In the second F1- site, F1- is bonded to one Na1+, two Ca2+, and one Ti4+ atom to form distorted corner-sharing FNaCa2Ti tetrahedra. In the third F1- site, F1- is bonded to two Na1+ and two Ca2+ atoms to form corner-sharing FNa2Ca2 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on ZrVCr by Materials Project

ZrCrV is Hexagonal Laves-derived structured and crystallizes in the orthorhombic Imma space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr, six equivalent V, and six equivalent Cr atoms. There are two shorter (3.10 Å) and two longer (3.19 Å) Zr–Zr bond lengths. There are four shorter (2.96 Å) and two longer (3.04 Å) Zr–V bond lengths. There are two shorter (2.98 Å) and four longer (3.06 Å) Zr–Cr bond lengths. V is bonded to six equivalent Zr, two equivalent V, and four equivalent Cr atoms to form VZr6V2Cr4 cuboctahedra that share corners with eight equivalent CrZr6V4Cr2 cuboctahedra, corners with ten equivalent VZr6V2Cr4 cuboctahedra, edges with six equivalent VZr6V2Cr4 cuboctahedra, faces with six equivalent VZr6V2Cr4 cuboctahedra, and faces with twelve equivalent CrZr6V4Cr2 cuboctahedra. Both V–V bond lengths are 2.64 Å. All V–Cr bond lengths are 2.57 Å. Cr is bonded to six equivalent Zr, four equivalent V, and two equivalent Cr atoms to form CrZr6V4Cr2 cuboctahedra that share corners with eight equivalent VZr6V2Cr4 cuboctahedra, corners with ten equivalent CrZr6V4Cr2 cuboctahedra, edges with six equivalent CrZr6V4Cr2 cuboctahedra, faces with six equivalent CrZr6V4Cr2 cuboctahedra, and faces with twelve equivalent VZr6V2Cr4 cuboctahedra. Both Cr–Cr bond lengths are 2.50 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2Cr3Si by Materials Project

Zr2Cr3Si is Hexagonal Laves-derived 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, nine equivalent Cr, and three equivalent Si atoms. There are three shorter (3.08 Å) and one longer (3.13 Å) Zr–Zr bond lengths. There are six shorter (2.95 Å) and three longer (2.99 Å) Zr–Cr bond lengths. All Zr–Si bond lengths are 2.93 Å. Cr is bonded to six equivalent Zr, four equivalent Cr, and two equivalent Si atoms to form CrZr6Cr4Si2 cuboctahedra that share corners with four equivalent SiZr6Cr6 cuboctahedra, corners with fourteen equivalent CrZr6Cr4Si2 cuboctahedra, edges with six equivalent CrZr6Cr4Si2 cuboctahedra, faces with six equivalent SiZr6Cr6 cuboctahedra, and faces with twelve equivalent CrZr6Cr4Si2 cuboctahedra. There are two shorter (2.42 Å) and two longer (2.57 Å) Cr–Cr bond lengths. Both Cr–Si bond lengths are 2.57 Å. Si is bonded to six equivalent Zr and six equivalent Cr atoms to form SiZr6Cr6 cuboctahedra that share corners with twelve equivalent CrZr6Cr4Si2 cuboctahedra, edges with six equivalent SiZr6Cr6 cuboctahedra, faces with two equivalent SiZr6Cr6 cuboctahedra, and faces with eighteen equivalent CrZr6Cr4Si2 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on NaZrP2O9 by Materials Project

NaZrP2O9 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Na is bonded in a 1-coordinate geometry to three O atoms. There are a spread of Na–O bond distances ranging from 2.20–2.62 Å. Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.05–2.17 Å. There are two inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three equivalent ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–43°. There are a spread of P–O bond distances ranging from 1.51–1.70 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three equivalent ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–28°. There is one shorter (1.49 Å) and three longer (1.57 Å) P–O bond length. There are nine inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one P atom. In the second O site, O is bonded in a linear geometry to one Zr and one P atom. In the third O site, O is bonded in a distorted single-bond geometry to one P and one O atom. The O–O bond length is 1.35 Å. In the fourth O site, O is bonded in a distorted linear geometry to one Na and one P atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the sixth O site, O is bonded in a single-bond geometry to one O atom. In the seventh O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one P atom. In the eighth O site, O is bonded in a 2-coordinate geometry to one Zr and one P atom. In the ninth O site, O is bonded in a distorted linear geometry to one Zr and one P atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on K4ZrC5O15F2 by Materials Project

K4ZrC5O15F2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent K sites. In the first K site, K is bonded in a 7-coordinate geometry to five O and two F atoms. There are a spread of K–O bond distances ranging from 2.74–3.14 Å. There are one shorter (2.53 Å) and one longer (2.77 Å) K–F bond lengths. In the second K site, K is bonded in a 6-coordinate geometry to five O and one F atom. There are a spread of K–O bond distances ranging from 2.69–2.88 Å. The K–F bond length is 2.67 Å. In the third K site, K is bonded in a 6-coordinate geometry to six O atoms. There are a spread of K–O bond distances ranging from 2.64–3.03 Å. Zr is bonded in a 8-coordinate geometry to six O and two F atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.35 Å. There are one shorter (2.03 Å) and one longer (2.10 Å) Zr–F bond lengths. There are three inequivalent C sites. In the first C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.25 Å) and one longer (1.29 Å) C–O bond length. In the second C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.25 Å) and one longer (1.28 Å) C–O bond length. In the third C site, C is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.26 Å) and two longer (1.32 Å) C–O bond length. There are eight inequivalent O sites. In the first O site, O is bonded in a water-like geometry to one K and one O atom. The O–O bond length is 1.24 Å. In the second O site, O is bonded in a distorted trigonal planar geometry to one K, one Zr, and one C atom. In the third O site, O is bonded in a distorted single-bond geometry to two equivalent K, one Zr, and one C atom. In the fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to three K and one C atom. In the fifth O site, O is bonded in an L-shaped geometry to one Zr and one C atom. In the sixth O site, O is bonded in a 1-coordinate geometry to two K and one C atom. In the seventh O site, O is bonded in a 1-coordinate geometry to two K and one C atom. In the eighth O site, O is bonded in a distorted L-shaped geometry to one K and one O atom. The O–O bond length is 1.24 Å. There are two inequivalent F sites. In the first F site, F is bonded in a distorted trigonal planar geometry to two equivalent K and one Zr atom. In the second F site, F is bonded in a rectangular see-saw-like geometry to three K and one Zr atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr5Ga3 by Materials Project

Zr5Ga3 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. there are two inequivalent Zr sites. In the first Zr site, Zr is bonded in a 6-coordinate geometry to six equivalent Ga atoms. All Zr–Ga bond lengths are 2.89 Å. In the second Zr site, Zr is bonded in a 5-coordinate geometry to five equivalent Ga atoms. There are a spread of Zr–Ga bond distances ranging from 2.79–3.14 Å. Ga is bonded in a 9-coordinate geometry to nine Zr atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on ZrUNb by Materials Project

UZrNb crystallizes in the orthorhombic Fmm2 space group. The structure is three-dimensional. U is bonded in a 8-coordinate geometry to two equivalent Zr and two equivalent Nb atoms. Both U–Zr bond lengths are 3.07 Å. Both U–Nb bond lengths are 2.79 Å. Zr is bonded in a 8-coordinate geometry to two equivalent U, four equivalent Zr, and two equivalent Nb atoms. All Zr–Zr bond lengths are 3.04 Å. Both Zr–Nb bond lengths are 3.00 Å. Nb is bonded in a 4-coordinate geometry to two equivalent U and two equivalent Zr atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2VNi3 by Materials Project

Zr2VNi3 crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr, three equivalent V, and nine equivalent Ni atoms. There are three shorter (3.04 Å) and one longer (3.11 Å) Zr–Zr bond lengths. All Zr–V bond lengths are 2.94 Å. There are three shorter (2.84 Å) and six longer (2.96 Å) Zr–Ni bond lengths. V is bonded to six equivalent Zr and six equivalent Ni atoms to form VZr6Ni6 cuboctahedra that share corners with six equivalent VZr6Ni6 cuboctahedra, corners with twelve equivalent NiZr6V2Ni4 cuboctahedra, edges with six equivalent VZr6Ni6 cuboctahedra, and faces with eighteen equivalent NiZr6V2Ni4 cuboctahedra. All V–Ni bond lengths are 2.47 Å. Ni is bonded to six equivalent Zr, two equivalent V, and four equivalent Ni atoms to form NiZr6V2Ni4 cuboctahedra that share corners with four equivalent VZr6Ni6 cuboctahedra, corners with fourteen equivalent NiZr6V2Ni4 cuboctahedra, edges with six equivalent NiZr6V2Ni4 cuboctahedra, faces with six equivalent VZr6Ni6 cuboctahedra, and faces with twelve equivalent NiZr6V2Ni4 cuboctahedra. All Ni–Ni bond lengths are 2.51 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na5Zr2Si12O37 by Materials Project

(Na5Zr2(SiO3)12)2O2 crystallizes in the monoclinic C2 space group. The structure is three-dimensional and consists of two water molecules and one Na5Zr2(SiO3)12 framework. In the Na5Zr2(SiO3)12 framework, there are three inequivalent Na sites. In the first Na site, Na is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Na–O bond distances ranging from 2.34–2.83 Å. In the second Na site, Na is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Na–O bond distances ranging from 2.36–2.77 Å. In the third Na site, Na is bonded to eight O atoms to form distorted NaO8 hexagonal bipyramids that share corners with two equivalent SiO4 tetrahedra, edges with two equivalent ZrO6 octahedra, and edges with four SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.40–2.93 Å. Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six SiO4 tetrahedra and an edgeedge with one NaO8 hexagonal bipyramid. There are a spread of Zr–O bond distances ranging from 2.07–2.14 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra, corners with two SiO4 tetrahedra, and an edgeedge with one NaO8 hexagonal bipyramid. The corner-sharing octahedral tilt angles are 27°. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 27°. There is three shorter (1.63 Å) and one longer (1.64 Å) Si–O bond length. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra, corners with two SiO4 tetrahedra, and an edgeedge with one NaO8 hexagonal bipyramid. The corner-sharing octahedral tilt angles are 32°. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 32°. There is three shorter (1.63 Å) and one longer (1.64 Å) Si–O bond length. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 28°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one NaO8 hexagonal bipyramid, a cornercorner with one ZrO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 25°. All Si–O bond lengths are 1.63 Å. There are twenty inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to one Na and two equivalent Si atoms. In the second O site, O is bonded in a bent 150 degrees geometry to two equivalent Si atoms. In the third O site, O is bonded in a distorted T-shaped geometry to one Na and two equivalent Si atoms. In the fourth O site, O is bonded in a linear geometry to two equivalent Si atoms. In the fifth O site, O is bonded in a 2-coordinate geometry to one Na and two Si atoms. In the sixth O site, O is bonded in a 2-coordinate geometry to one Na and two Si atoms. In the seventh O site, O is bonded in a distorted bent 120 degrees geometry to one Na and one Si atom. In the eighth O site, O is bonded in a distorted bent 120 degrees geometry to one Na and one Si atom. In the ninth O site, O is bonded in a 2-coordinate geometry to two Na, one Zr, and one Si atom. In the tenth O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one Si atom. In the eleventh O site, O is bonded in a distorted T-shaped geometry to one Na and two Si atoms. In the twelfth O site, O is bonded in a distorted T-shaped geometry to one Na and two Si atoms. In the thirteenth O site, O is bonded in a distorted bent 150 degrees geometry to two Na, one Zr, and one Si atom. In the fourteenth O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one Si atom. In the fifteenth O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one Si atom. In the sixteenth O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one Si atom. In the seventeenth O site, O is bonded in a distorted bent 150 degrees geometry to one Na and one Si atom. In the eighteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Na and one Si atom. In the nineteenth O site, O is bonded in a single-bond geometry to one Si atom. In the twentieth O site, O is bonded in a bent 120 degrees geometry to one Na and one Si atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2VRe3 by Materials Project

Zr2VRe3 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, three equivalent V, and nine equivalent Re atoms. There are one shorter (3.20 Å) and three longer (3.26 Å) Zr–Zr bond lengths. All Zr–V bond lengths are 3.12 Å. There are three shorter (3.08 Å) and six longer (3.11 Å) Zr–Re bond lengths. V is bonded to six equivalent Zr and six equivalent Re atoms to form VZr6Re6 cuboctahedra that share corners with twelve equivalent ReZr6V2Re4 cuboctahedra, edges with six equivalent VZr6Re6 cuboctahedra, faces with two equivalent VZr6Re6 cuboctahedra, and faces with eighteen equivalent ReZr6V2Re4 cuboctahedra. All V–Re bond lengths are 2.64 Å. Re is bonded to six equivalent Zr, two equivalent V, and four equivalent Re atoms to form distorted ReZr6V2Re4 cuboctahedra that share corners with four equivalent VZr6Re6 cuboctahedra, corners with fourteen equivalent ReZr6V2Re4 cuboctahedra, edges with six equivalent ReZr6V2Re4 cuboctahedra, faces with six equivalent VZr6Re6 cuboctahedra, and faces with twelve equivalent ReZr6V2Re4 cuboctahedra. There are two shorter (2.63 Å) and two longer (2.69 Å) Re–Re bond lengths.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na4Zr2Ge5O17 by Materials Project

Na4Zr2Ge5O17 crystallizes in the monoclinic P2/c space group. The structure is three-dimensional. there are two inequivalent Na sites. In the first Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.32–2.64 Å. In the second Na site, Na is bonded in a 5-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.44–2.96 Å. Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six GeO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.10–2.14 Å. There are three inequivalent Ge sites. In the first Ge site, Ge is bonded to four O atoms to form GeO4 tetrahedra that share corners with three equivalent ZrO6 octahedra and a cornercorner with one GeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–52°. There are a spread of Ge–O bond distances ranging from 1.75–1.82 Å. In the second Ge site, Ge is bonded to four O atoms to form GeO4 tetrahedra that share corners with two equivalent ZrO6 octahedra and corners with two GeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There is two shorter (1.75 Å) and two longer (1.80 Å) Ge–O bond length. In the third Ge site, Ge is bonded to four O atoms to form GeO4 tetrahedra that share corners with two equivalent ZrO6 octahedra and corners with two equivalent GeO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There is two shorter (1.74 Å) and two longer (1.80 Å) Ge–O bond length. There are nine inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to two equivalent Na, one Zr, and one Ge atom. In the second O site, O is bonded in a distorted trigonal planar geometry to one Na, one Zr, and one Ge atom. In the third O site, O is bonded to two equivalent Na, one Zr, and one Ge atom to form distorted edge-sharing ONa2ZrGe trigonal pyramids. In the fourth O site, O is bonded in a 3-coordinate geometry to one Na and two Ge atoms. In the fifth O site, O is bonded in a trigonal planar geometry to one Na and two Ge atoms. In the sixth O site, O is bonded in a distorted T-shaped geometry to one Na, one Zr, and one Ge atom. In the seventh O site, O is bonded in an L-shaped geometry to two equivalent Na atoms. In the eighth O site, O is bonded in a distorted trigonal planar geometry to one Na, one Zr, and one Ge atom. In the ninth O site, O is bonded in a distorted trigonal planar geometry to one Na, one Zr, and one Ge atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2(PdRh)3 by Materials Project

Zr2(RhPd)3 is Uranium Silicide-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. Zr is bonded to six Rh and six Pd atoms to form ZrPd6Rh6 cuboctahedra that share corners with twelve equivalent ZrPd6Rh6 cuboctahedra, edges with twelve RhZr4Pd4Rh4 cuboctahedra, edges with twelve PdZr4Pd2Rh6 cuboctahedra, faces with six equivalent ZrPd6Rh6 cuboctahedra, faces with six RhZr4Pd4Rh4 cuboctahedra, and faces with six PdZr4Pd2Rh6 cuboctahedra. There are a spread of Zr–Rh bond distances ranging from 2.80–2.84 Å. All Zr–Pd bond lengths are 2.85 Å. There are three inequivalent Rh sites. In the first Rh site, Rh is bonded to four equivalent Zr, four equivalent Rh, and four equivalent Pd atoms to form distorted RhZr4Pd4Rh4 cuboctahedra that share corners with four equivalent RhZr4Pd4Rh4 cuboctahedra, corners with eight equivalent PdZr4Pd4Rh4 cuboctahedra, edges with eight equivalent ZrPd6Rh6 cuboctahedra, edges with eight equivalent RhZr4Pd8 cuboctahedra, edges with eight equivalent PdZr4Pd2Rh6 cuboctahedra, faces with four equivalent ZrPd6Rh6 cuboctahedra, faces with six PdZr4Pd2Rh6 cuboctahedra, and faces with eight RhZr4Pd4Rh4 cuboctahedra. All Rh–Rh bond lengths are 2.85 Å. All Rh–Pd bond lengths are 2.82 Å. In the second Rh site, Rh is bonded to four equivalent Zr and eight Pd atoms to form RhZr4Pd8 cuboctahedra that share corners with twelve RhZr4Pd8 cuboctahedra, edges with eight equivalent ZrPd6Rh6 cuboctahedra, edges with eight equivalent RhZr4Pd4Rh4 cuboctahedra, edges with eight equivalent PdZr4Pd2Rh6 cuboctahedra, faces with four equivalent ZrPd6Rh6 cuboctahedra, faces with six RhZr4Pd8 cuboctahedra, and faces with eight PdZr4Pd2Rh6 cuboctahedra. There are four shorter (2.84 Å) and four longer (2.85 Å) Rh–Pd bond lengths. In the third Rh site, Rh is bonded to four equivalent Zr, four equivalent Rh, and four equivalent Pd atoms to form distorted RhZr4Pd4Rh4 cuboctahedra that share corners with twelve RhZr4Pd8 cuboctahedra, edges with eight equivalent ZrPd6Rh6 cuboctahedra, edges with sixteen PdZr4Pd2Rh6 cuboctahedra, faces with four equivalent ZrPd6Rh6 cuboctahedra, faces with four equivalent PdZr4Pd2Rh6 cuboctahedra, and faces with ten RhZr4Pd4Rh4 cuboctahedra. All Rh–Pd bond lengths are 2.83 Å. There are two inequivalent Pd sites. In the first Pd site, Pd is bonded to four equivalent Zr, six Rh, and two equivalent Pd atoms to form distorted PdZr4Pd2Rh6 cuboctahedra that share corners with twelve equivalent PdZr4Pd2Rh6 cuboctahedra, edges with four equivalent PdZr4Pd4Rh4 cuboctahedra, edges with eight equivalent ZrPd6Rh6 cuboctahedra, edges with twelve RhZr4Pd4Rh4 cuboctahedra, faces with four equivalent ZrPd6Rh6 cuboctahedra, faces with six RhZr4Pd4Rh4 cuboctahedra, and faces with eight PdZr4Pd2Rh6 cuboctahedra. Both Pd–Pd bond lengths are 2.82 Å. In the second Pd site, Pd is bonded to four equivalent Zr, four equivalent Rh, and four equivalent Pd atoms to form distorted PdZr4Pd4Rh4 cuboctahedra that share corners with four equivalent PdZr4Pd4Rh4 cuboctahedra, corners with eight equivalent RhZr4Pd4Rh4 cuboctahedra, edges with eight equivalent ZrPd6Rh6 cuboctahedra, edges with eight equivalent RhZr4Pd4Rh4 cuboctahedra, edges with eight equivalent PdZr4Pd2Rh6 cuboctahedra, faces with four equivalent ZrPd6Rh6 cuboctahedra, faces with six RhZr4Pd4Rh4 cuboctahedra, and faces with eight PdZr4Pd2Rh6 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on ZrCrMo by Materials Project

CrMoZr crystallizes in the orthorhombic Imma space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr, six equivalent Mo, and six equivalent Cr atoms. There are two shorter (3.20 Å) and two longer (3.22 Å) Zr–Zr bond lengths. There are four shorter (3.05 Å) and two longer (3.08 Å) Zr–Mo bond lengths. There are two shorter (3.04 Å) and four longer (3.10 Å) Zr–Cr bond lengths. Mo is bonded to six equivalent Zr, two equivalent Mo, and four equivalent Cr atoms to form distorted MoZr6Cr4Mo2 cuboctahedra that share corners with eight equivalent CrZr6Cr2Mo4 cuboctahedra, corners with ten equivalent MoZr6Cr4Mo2 cuboctahedra, edges with six equivalent MoZr6Cr4Mo2 cuboctahedra, faces with six equivalent MoZr6Cr4Mo2 cuboctahedra, and faces with twelve equivalent CrZr6Cr2Mo4 cuboctahedra. Both Mo–Mo bond lengths are 2.66 Å. All Mo–Cr bond lengths are 2.62 Å. Cr is bonded to six equivalent Zr, four equivalent Mo, and two equivalent Cr atoms to form distorted CrZr6Cr2Mo4 cuboctahedra that share corners with eight equivalent MoZr6Cr4Mo2 cuboctahedra, corners with ten equivalent CrZr6Cr2Mo4 cuboctahedra, edges with six equivalent CrZr6Cr2Mo4 cuboctahedra, faces with six equivalent CrZr6Cr2Mo4 cuboctahedra, and faces with twelve equivalent MoZr6Cr4Mo2 cuboctahedra. Both Cr–Cr bond lengths are 2.59 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CaZr(SiO3)6 by Materials Project

(Ca2Zr2Si12O35)2O2 crystallizes in the monoclinic C2 space group. The structure is three-dimensional and consists of two water molecules and one Ca2Zr2Si12O35 framework. In the Ca2Zr2Si12O35 framework, Ca is bonded to seven O atoms to form distorted CaO7 hexagonal pyramids that share corners with two SiO4 tetrahedra, edges with two equivalent ZrO6 octahedra, and edges with two SiO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.59 Å. Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent CaO7 hexagonal pyramids. There are a spread of Zr–O bond distances ranging from 2.05–2.18 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra, corners with three SiO4 tetrahedra, and an edgeedge with one CaO7 hexagonal pyramid. The corner-sharing octahedral tilt angles are 22°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra, corners with three SiO4 tetrahedra, and an edgeedge with one CaO7 hexagonal pyramid. The corner-sharing octahedral tilt angles are 22°. There is two shorter (1.62 Å) and two longer (1.64 Å) Si–O bond length. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CaO7 hexagonal pyramid, a cornercorner with one ZrO6 octahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There is one shorter (1.62 Å) and three longer (1.63 Å) Si–O bond length. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CaO7 hexagonal pyramid, a cornercorner with one ZrO6 octahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Si–O bond distances ranging from 1.61–1.64 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Si–O bond distances ranging from 1.60–1.65 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Si–O bond distances ranging from 1.60–1.66 Å. There are nineteen inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the second O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the third O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Zr, and one Si atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the seventh O site, O is bonded in a 3-coordinate geometry to one Ca and two Si atoms. In the eighth O site, O is bonded in a single-bond geometry to one Ca atom. In the ninth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the tenth O site, O is bonded in a bent 150 degrees geometry to two equivalent Si atoms. In the eleventh O site, O is bonded in a bent 120 degrees geometry to one Ca and one O atom. The O–O bond length is 1.29 Å. In the twelfth O site, O is bonded in a bent 120 degrees geometry to two equivalent O atoms. In the thirteenth O site, O is bonded in a 3-coordinate geometry to one Ca, one Zr, and one Si atom. In the fourteenth O site, O is bonded in a 3-coordinate geometry to one Ca, one Zr, and one Si atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the sixteenth O site, O is bonded in a linear geometry to one Zr and one Si atom. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to two equivalent Si atoms. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the nineteenth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Zr, and one Si atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on K2ZrSi3O10 by Materials Project

K2ZrSi3O10 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent K sites. In the first K site, K is bonded in a 7-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.76–3.34 Å. In the second K site, K is bonded in a 2-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.91–3.35 Å. Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.10–2.14 Å. There are three inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent ZrO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent ZrO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–46°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent ZrO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–51°. There is two shorter (1.62 Å) and two longer (1.67 Å) Si–O bond length. There are ten inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to one K, one Zr, and one Si atom. In the second O site, O is bonded in a 3-coordinate geometry to one K, one Zr, and one Si atom. In the third O site, O is bonded in a 2-coordinate geometry to two K, one Zr, and one Si atom. In the fourth O site, O is bonded in a 2-coordinate geometry to one K, one Zr, and one Si atom. In the fifth O site, O is bonded in an L-shaped geometry to two equivalent K atoms. In the sixth O site, O is bonded in a 2-coordinate geometry to two equivalent K and two Si atoms. In the seventh O site, O is bonded in a 2-coordinate geometry to one K and two Si atoms. In the eighth O site, O is bonded in a 4-coordinate geometry to two K, one Zr, and one Si atom. In the ninth O site, O is bonded in a bent 120 degrees geometry to two K and two Si atoms. In the tenth O site, O is bonded in a 4-coordinate geometry to two K, one Zr, and one Si atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr2Ir by Materials Project

Zr2Ir crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. there are two inequivalent Zr sites. In the first Zr site, Zr is bonded in a 6-coordinate geometry to six equivalent Ir atoms. All Zr–Ir bond lengths are 2.84 Å. In the second Zr site, Zr is bonded in a 2-coordinate geometry to four equivalent Ir atoms. There are two shorter (2.74 Å) and two longer (3.21 Å) Zr–Ir bond lengths. Ir is bonded in a 9-coordinate geometry to nine Zr atoms.

36 MATERIALS SCIENCE↗