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Materials Data on Lu6Ni2Sn by Materials Project

Lu6Ni2Sn crystallizes in the orthorhombic Immm space group. The structure is three-dimensional. there are three inequivalent Lu sites. In the first Lu site, Lu is bonded in a 4-coordinate geometry to three Ni and one Sn atom. There are one shorter (2.66 Å) and two longer (2.84 Å) Lu–Ni bond lengths. The Lu–Sn bond length is 3.30 Å. In the second Lu site, Lu is bonded in a 5-coordinate geometry to three Ni and two Sn atoms. There are two shorter (2.85 Å) and one longer (3.09 Å) Lu–Ni bond lengths. There are one shorter (3.17 Å) and one longer (3.54 Å) Lu–Sn bond lengths. In the third Lu site, Lu is bonded in a distorted rectangular see-saw-like geometry to two Ni and two Sn atoms. There are one shorter (2.69 Å) and one longer (3.10 Å) Lu–Ni bond lengths. There are one shorter (3.04 Å) and one longer (3.28 Å) Lu–Sn bond lengths. There are two inequivalent Ni sites. In the first Ni site, Ni is bonded in a 2-coordinate geometry to eight Lu atoms. In the second Ni site, Ni is bonded in a 9-coordinate geometry to eight Lu and one Ni atom. The Ni–Ni bond length is 2.48 Å. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a distorted body-centered cubic geometry to eight Lu atoms. In the second Sn site, Sn is bonded in a cuboctahedral geometry to twelve Lu atoms.

36 MATERIALS SCIENCE↗

Materials Data on Lu5(Ge5Ir2)2 by Materials Project

Lu5Ir4Ge10 crystallizes in the tetragonal P4/mbm space group. The structure is three-dimensional. there are three inequivalent Lu sites. In the first Lu site, Lu is bonded in a 8-coordinate geometry to four equivalent Ir and twelve Ge atoms. All Lu–Ir bond lengths are 3.22 Å. There are eight shorter (2.94 Å) and four longer (3.35 Å) Lu–Ge bond lengths. In the second Lu site, Lu is bonded to four equivalent Ir and eight Ge atoms to form face-sharing LuGe8Ir4 cuboctahedra. All Lu–Ir bond lengths are 3.10 Å. There are a spread of Lu–Ge bond distances ranging from 2.92–3.09 Å. In the third Lu site, Lu is bonded in a 12-coordinate geometry to four equivalent Ir and ten Ge atoms. All Lu–Ir bond lengths are 3.31 Å. There are a spread of Lu–Ge bond distances ranging from 3.26–3.39 Å. Ir is bonded in a 10-coordinate geometry to five Lu and five Ge atoms. There are a spread of Ir–Ge bond distances ranging from 2.47–2.57 Å. There are three inequivalent Ge sites. In the first Ge site, Ge is bonded in a 9-coordinate geometry to six Lu, two equivalent Ir, and one Ge atom. The Ge–Ge bond length is 2.43 Å. In the second Ge site, Ge is bonded in a 2-coordinate geometry to five Lu, two equivalent Ir, and one Ge atom. The Ge–Ge bond length is 2.50 Å. In the third Ge site, Ge is bonded in a 8-coordinate geometry to four Lu, two equivalent Ir, and two equivalent Ge atoms. Both Ge–Ge bond lengths are 2.84 Å.

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Materials Data on Lu6GaNi2 by Materials Project

Lu6Ni2Ga crystallizes in the orthorhombic Immm space group. The structure is three-dimensional. there are three inequivalent Lu sites. In the first Lu site, Lu is bonded in a 4-coordinate geometry to two Ni and two Ga atoms. There are one shorter (2.70 Å) and one longer (3.09 Å) Lu–Ni bond lengths. There are one shorter (2.95 Å) and one longer (3.16 Å) Lu–Ga bond lengths. In the second Lu site, Lu is bonded in a 4-coordinate geometry to three Ni and one Ga atom. There are one shorter (2.67 Å) and two longer (2.82 Å) Lu–Ni bond lengths. The Lu–Ga bond length is 3.21 Å. In the third Lu site, Lu is bonded in a 4-coordinate geometry to three Ni and two Ga atoms. There are two shorter (2.84 Å) and one longer (3.07 Å) Lu–Ni bond lengths. There are one shorter (3.10 Å) and one longer (3.55 Å) Lu–Ga bond lengths. There are two inequivalent Ni sites. In the first Ni site, Ni is bonded in a 9-coordinate geometry to eight Lu and one Ni atom. The Ni–Ni bond length is 2.74 Å. In the second Ni site, Ni is bonded in a 9-coordinate geometry to eight Lu and one Ni atom. The Ni–Ni bond length is 2.47 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded in a body-centered cubic geometry to eight Lu atoms. In the second Ga site, Ga is bonded in a cuboctahedral geometry to twelve Lu atoms.

36 MATERIALS SCIENCE↗

Materials Data on Lu6Co2Sn by Materials Project

Lu6Co2Sn crystallizes in the orthorhombic Immm space group. The structure is three-dimensional. there are three inequivalent Lu sites. In the first Lu site, Lu is bonded in a distorted rectangular see-saw-like geometry to two Co and two Sn atoms. There are one shorter (2.70 Å) and one longer (3.07 Å) Lu–Co bond lengths. There are one shorter (3.03 Å) and one longer (3.24 Å) Lu–Sn bond lengths. In the second Lu site, Lu is bonded in a 5-coordinate geometry to three Co and two Sn atoms. There are two shorter (2.85 Å) and one longer (3.11 Å) Lu–Co bond lengths. There are one shorter (3.14 Å) and one longer (3.55 Å) Lu–Sn bond lengths. In the third Lu site, Lu is bonded in a 4-coordinate geometry to three Co and one Sn atom. There are one shorter (2.67 Å) and two longer (2.80 Å) Lu–Co bond lengths. The Lu–Sn bond length is 3.33 Å. There are two inequivalent Co sites. In the first Co site, Co is bonded in a 9-coordinate geometry to eight Lu and one Co atom. The Co–Co bond length is 2.56 Å. In the second Co site, Co is bonded in a 9-coordinate geometry to eight Lu and one Co atom. The Co–Co bond length is 2.23 Å. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a cuboctahedral geometry to twelve Lu atoms. In the second Sn site, Sn is bonded in a body-centered cubic geometry to eight Lu atoms.

36 MATERIALS SCIENCE↗

Materials Data on Lu5(Ge5Rh2)2 by Materials Project

Lu5(Rh2Ge5)2 crystallizes in the tetragonal P4/mbm space group. The structure is three-dimensional. there are three inequivalent Lu sites. In the first Lu site, Lu is bonded in a 8-coordinate geometry to four equivalent Rh and twelve Ge atoms. All Lu–Rh bond lengths are 3.23 Å. There are eight shorter (2.92 Å) and four longer (3.35 Å) Lu–Ge bond lengths. In the second Lu site, Lu is bonded to four equivalent Rh and eight Ge atoms to form face-sharing LuGe8Rh4 cuboctahedra. All Lu–Rh bond lengths are 3.08 Å. There are a spread of Lu–Ge bond distances ranging from 2.91–3.11 Å. In the third Lu site, Lu is bonded in a 12-coordinate geometry to four equivalent Rh and ten Ge atoms. All Lu–Rh bond lengths are 3.29 Å. There are a spread of Lu–Ge bond distances ranging from 3.21–3.41 Å. Rh is bonded in a 10-coordinate geometry to five Lu and five Ge atoms. There are a spread of Rh–Ge bond distances ranging from 2.43–2.58 Å. There are three inequivalent Ge sites. In the first Ge site, Ge is bonded in a 9-coordinate geometry to six Lu, two equivalent Rh, and one Ge atom. The Ge–Ge bond length is 2.44 Å. In the second Ge site, Ge is bonded in a 2-coordinate geometry to five Lu, two equivalent Rh, and one Ge atom. The Ge–Ge bond length is 2.55 Å. In the third Ge site, Ge is bonded in a 2-coordinate geometry to four Lu, two equivalent Rh, and two equivalent Ge atoms. Both Ge–Ge bond lengths are 2.86 Å.

36 MATERIALS SCIENCE↗

Materials Data on Lu3(MnGa2)2 by Materials Project

Lu3(MnGa2)2 crystallizes in the orthorhombic Ima2 space group. The structure is three-dimensional. there are three inequivalent Lu sites. In the first Lu site, Lu is bonded in a 11-coordinate geometry to four equivalent Mn and seven Ga atoms. There are two shorter (2.94 Å) and two longer (2.95 Å) Lu–Mn bond lengths. There are a spread of Lu–Ga bond distances ranging from 2.86–3.15 Å. In the second Lu site, Lu is bonded in a 11-coordinate geometry to four equivalent Mn and seven Ga atoms. All Lu–Mn bond lengths are 2.93 Å. There are a spread of Lu–Ga bond distances ranging from 2.86–3.13 Å. In the third Lu site, Lu is bonded in a 11-coordinate geometry to four equivalent Mn and seven Ga atoms. There are two shorter (2.92 Å) and two longer (2.93 Å) Lu–Mn bond lengths. There are a spread of Lu–Ga bond distances ranging from 2.86–3.12 Å. Mn is bonded in a 9-coordinate geometry to six Lu and three Ga atoms. There are one shorter (2.68 Å) and two longer (2.69 Å) Mn–Ga bond lengths. There are three inequivalent Ga sites. In the first Ga site, Ga is bonded in a 10-coordinate geometry to six Lu, two equivalent Mn, and two equivalent Ga atoms. Both Ga–Ga bond lengths are 2.80 Å. In the second Ga site, Ga is bonded in a 3-coordinate geometry to three Lu and six Ga atoms. There are two shorter (2.79 Å) and two longer (2.80 Å) Ga–Ga bond lengths. In the third Ga site, Ga is bonded in a 10-coordinate geometry to six Lu, two equivalent Mn, and two equivalent Ga atoms.

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Materials Data on Lu6InCo2 by Materials Project

Lu6Co2In crystallizes in the orthorhombic Immm space group. The structure is three-dimensional. there are three inequivalent Lu sites. In the first Lu site, Lu is bonded in a 4-coordinate geometry to two Co and two In atoms. There are one shorter (2.77 Å) and one longer (3.10 Å) Lu–Co bond lengths. There are one shorter (3.05 Å) and one longer (3.27 Å) Lu–In bond lengths. In the second Lu site, Lu is bonded in a 5-coordinate geometry to three Co and two In atoms. There are two shorter (2.87 Å) and one longer (3.17 Å) Lu–Co bond lengths. There are one shorter (3.18 Å) and one longer (3.55 Å) Lu–In bond lengths. In the third Lu site, Lu is bonded in a 4-coordinate geometry to three Co and one In atom. There are one shorter (2.70 Å) and two longer (2.82 Å) Lu–Co bond lengths. The Lu–In bond length is 3.35 Å. There are two inequivalent Co sites. In the first Co site, Co is bonded in a 9-coordinate geometry to eight Lu and one Co atom. The Co–Co bond length is 2.42 Å. In the second Co site, Co is bonded in a 9-coordinate geometry to eight Lu and one Co atom. The Co–Co bond length is 2.26 Å. There are two inequivalent In sites. In the first In site, In is bonded in a cuboctahedral geometry to twelve Lu atoms. In the second In site, In is bonded in a body-centered cubic geometry to eight Lu atoms.

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Materials Data on Lu2TiO5 by Materials Project

Lu2TiO5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.20–2.38 Å. In the second Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.15–2.47 Å. In the third Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.14–2.49 Å. In the fourth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.19–2.82 Å. In the fifth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.11–2.42 Å. In the sixth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.15–2.47 Å. In the seventh Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.10–2.32 Å. In the eighth Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with five TiO6 octahedra and edges with two equivalent LuO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Lu–O bond distances ranging from 2.20–2.27 Å. In the ninth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.12–2.40 Å. In the tenth Lu3+ site, Lu3+ is bonded to seven O2- atoms to form distorted LuO7 pentagonal bipyramids that share corners with two TiO6 octahedra, edges with two equivalent LuO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Lu–O bond distances ranging from 2.19–2.51 Å. In the eleventh Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.14–2.57 Å. In the twelfth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.16–2.51 Å. In the thirteenth Lu3+ site, Lu3+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.09–2.44 Å. In the fourteenth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.13–2.47 Å. In the fifteenth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.16–2.55 Å. In the sixteenth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.14–2.78 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted corner-sharing TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 33°. There are a spread of Ti–O bond distances ranging from 1.81–2.09 Å. In the second Ti4+ site, Ti4+ is bonded in a distorted octahedral geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.84–2.31 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LuO6 octahedra, corners with three TiO6 octahedra, a cornercorner with one LuO7 pentagonal bipyramid, and an edgeedge with one LuO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 30–61°. There are a spread of Ti–O bond distances ranging from 1.85–2.11 Å. In the fourth Ti4+ site, Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.84–2.11 Å. In the fifth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.87–2.30 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LuO6 octahedra, corners with two TiO6 octahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Ti–O bond distances ranging from 1.91–2.05 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LuO6 octahedra, corners with three TiO6 octahedra, a cornercorner with one LuO7 pentagonal bipyramid, and an edgeedge with one LuO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 30–63°. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the eighth Ti4+ site, Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.79–2.08 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to two Lu3+ and two Ti4+ atoms to form OLu2Ti2 tetrahedra that share corners with three OLu4 tetrahedra and an edgeedge with one OLu2Ti2 tetrahedra. In the second O2- site, O2- is bonded to two Lu3+ and two Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLu2Ti2 tetrahedra. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Lu3+ atoms. In the fourth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with seven OLu3Ti tetrahedra, a cornercorner with one OLu3Ti trigonal pyramid, and edges with three OLu2Ti2 tetrahedra. In the fifth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form distorted OLu3Ti trigonal pyramids that share corners with eight OLu4 tetrahedra and edges with three OLu2Ti2 tetrahedra. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded to four Lu3+ atoms to form a mixture of distorted edge and corner-sharing OLu4 tetrahedra. In the eighth O2- site, O2- is bonded to two Lu3+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLu2Ti2 tetrahedra. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Lu3+ atoms. In the tenth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with seven OLu4 tetrahedra and edges with three OLu2Ti2 tetrahedra. In the eleventh O2- site, O2- is bonded to four Lu3+ atoms to form OLu4 tetrahedra that share corners with seven OLu3Ti tetrahedra, a cornercorner with one OLu3Ti trigonal pyramid, and edges with two OLu2Ti2 tetrahedra. In the twelfth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing OLu3Ti tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Lu3+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Lu3+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Lu3+ and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing OLu3Ti tetrahedra. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Lu3+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Lu3+ atoms. In the twenty-first O2- site, O2- is bonded to four Lu3+ atoms to form a mixture of edge and corner-sharing OLu4 tetrahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the twenty-third O2- site, O2- is bonded to two Lu3+ and two Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLu2Ti2 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Lu3+ atoms to form a mixture of edge and corner-sharing OLu4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of edge and corner-sharing OLu3Ti tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Lu3+ atoms to form distorted OLu4 tetrahedra that share corners with four OLu4 tetrahedra and edges with three OLu3Ti tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with five OLu3Ti tetrahedra, edges with three OLu4 tetrahedra, and an edgeedge with one OLu3Ti trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the thirty-second O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of edge and corner-sharing OLu3Ti tetrahedra. In the thirty-third O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with four OLu3Ti tetrahedra and an edgeedge with one OLu4 tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded to four Lu3+ atoms to form corner-sharing OLu4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+ and two Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+ and two Ti4+ atoms. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one Lu3+ and two Ti4+ atoms.

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Materials Data on Lu5B4Rh15 by Materials Project

Lu5Rh15B4 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are three inequivalent Lu sites. In the first Lu site, Lu is bonded to twelve Rh atoms to form LuRh12 cuboctahedra that share corners with twelve LuRh12 cuboctahedra, faces with six LuRh12 cuboctahedra, and faces with four equivalent BRh6 octahedra. There are a spread of Lu–Rh bond distances ranging from 2.89–2.96 Å. In the second Lu site, Lu is bonded to twelve Rh atoms to form LuRh12 cuboctahedra that share corners with twelve LuRh12 cuboctahedra, faces with six LuRh12 cuboctahedra, and faces with eight BRh6 octahedra. There are a spread of Lu–Rh bond distances ranging from 2.93–2.96 Å. In the third Lu site, Lu is bonded to twelve Rh atoms to form LuRh12 cuboctahedra that share corners with twelve LuRh12 cuboctahedra, faces with six LuRh12 cuboctahedra, and faces with eight equivalent BRh6 octahedra. There are eight shorter (2.93 Å) and four longer (2.96 Å) Lu–Rh bond lengths. There are six inequivalent Rh sites. In the first Rh site, Rh is bonded in a distorted single-bond geometry to four equivalent Lu and one B atom. The Rh–B bond length is 2.04 Å. In the second Rh site, Rh is bonded to four equivalent Lu and two B atoms to form a mixture of distorted face, edge, and corner-sharing RhLu4B2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. There are one shorter (2.07 Å) and one longer (2.17 Å) Rh–B bond lengths. In the third Rh site, Rh is bonded to four equivalent Lu and two equivalent B atoms to form a mixture of distorted face, edge, and corner-sharing RhLu4B2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. Both Rh–B bond lengths are 2.09 Å. In the fourth Rh site, Rh is bonded in a distorted square co-planar geometry to four equivalent Lu atoms. In the fifth Rh site, Rh is bonded to four Lu and two equivalent B atoms to form a mixture of distorted face, edge, and corner-sharing RhLu4B2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. Both Rh–B bond lengths are 2.10 Å. In the sixth Rh site, Rh is bonded to four Lu and two equivalent B atoms to form a mixture of distorted face, edge, and corner-sharing RhLu4B2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. Both Rh–B bond lengths are 2.09 Å. There are two inequivalent B sites. In the first B site, B is bonded to six Rh atoms to form BRh6 octahedra that share corners with five BRh6 octahedra and faces with eight LuRh12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the second B site, B is bonded to six Rh atoms to form BRh6 octahedra that share corners with six BRh6 octahedra and faces with eight LuRh12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°.

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Materials Data on Lu4V5B18 by Materials Project

Lu4V5B18 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are sixteen inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to fourteen B+1.33- atoms. There are a spread of Lu–B bond distances ranging from 2.62–2.66 Å. In the second Lu3+ site, Lu3+ is bonded in a 12-coordinate geometry to fourteen B+1.33- atoms. There are a spread of Lu–B bond distances ranging from 2.62–2.71 Å. In the third Lu3+ site, Lu3+ is bonded in a 12-coordinate geometry to fourteen B+1.33- atoms. There are a spread of Lu–B bond distances ranging from 2.62–2.71 Å. In the fourth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to fourteen B+1.33- atoms. There are a spread of Lu–B bond distances ranging from 2.62–2.66 Å. In the fifth Lu3+ site, Lu3+ is bonded in a 2-coordinate geometry to fourteen B+1.33- atoms. There are a spread of Lu–B bond distances ranging from 2.61–2.72 Å. In the sixth Lu3+ site, Lu3+ is bonded in a 2-coordinate geometry to fourteen B+1.33- atoms. There are a spread of Lu–B bond distances ranging from 2.61–2.72 Å. In the seventh Lu3+ site, Lu3+ is bonded in a 10-coordinate geometry to fourteen B+1.33- atoms. There are a spread of Lu–B bond distances ranging from 2.59–2.71 Å. In the eighth Lu3+ site, Lu3+ is bonded in a 10-coordinate geometry to fourteen B+1.33- atoms. There are a spread of Lu–B bond distances ranging from 2.59–2.71 Å. In the ninth Lu3+ site, Lu3+ is bonded in a 10-coordinate geometry to fourteen B+1.33- atoms. There are a spread of Lu–B bond distances ranging from 2.60–2.71 Å. In the tenth Lu3+ site, Lu3+ is bonded in a 10-coordinate geometry to fourteen B+1.33- atoms. There are a spread of Lu–B bond distances ranging from 2.59–2.71 Å. In the eleventh Lu3+ site, Lu3+ is bonded in a 10-coordinate geometry to fourteen B+1.33- atoms. There are a spread of Lu–B bond distances ranging from 2.60–2.71 Å. In the twelfth Lu3+ site, Lu3+ is bonded in a 10-coordinate geometry to fourteen B+1.33- atoms. There are a spread of Lu–B bond distances ranging from 2.60–2.72 Å. In the thirteenth Lu3+ site, Lu3+ is bonded to twelve B+1.33- atoms to form a mixture of edge and face-sharing LuB12 cuboctahedra. There are a spread of Lu–B bond distances ranging from 2.47–2.50 Å. In the fourteenth Lu3+ site, Lu3+ is bonded to twelve B+1.33- atoms to form LuB12 cuboctahedra that share edges with two equivalent VB12 cuboctahedra, a faceface with one VB12 cuboctahedra, and faces with two equivalent LuB12 cuboctahedra. There are a spread of Lu–B bond distances ranging from 2.47–2.51 Å. In the fifteenth Lu3+ site, Lu3+ is bonded to twelve B+1.33- atoms to form LuB12 cuboctahedra that share edges with two equivalent VB12 cuboctahedra, a faceface with one VB12 cuboctahedra, and faces with two equivalent LuB12 cuboctahedra. There are a spread of Lu–B bond distances ranging from 2.46–2.51 Å. In the sixteenth Lu3+ site, Lu3+ is bonded to twelve B+1.33- atoms to form a mixture of edge and face-sharing LuB12 cuboctahedra. There are a spread of Lu–B bond distances ranging from 2.47–2.50 Å. There are twenty inequivalent V+2.40+ sites. In the first V+2.40+ site, V+2.40+ is bonded in a 10-coordinate geometry to ten B+1.33- atoms. There are a spread of V–B bond distances ranging from 2.22–2.30 Å. In the second V+2.40+ site, V+2.40+ is bonded in a 10-coordinate geometry to ten B+1.33- atoms. There are a spread of V–B bond distances ranging from 2.22–2.29 Å. In the third V+2.40+ site, V+2.40+ is bonded in a 10-coordinate geometry to ten B+1.33- atoms. There are a spread of V–B bond distances ranging from 2.22–2.29 Å. In the fourth V+2.40+ site, V+2.40+ is bonded in a 10-coordinate geometry to ten B+1.33- atoms. There are a spread of V–B bond distances ranging from 2.22–2.30 Å. In the fifth V+2.40+ site, V+2.40+ is bonded in a 10-coordinate geometry to ten B+1.33- atoms. There are a spread of V–B bond distances ranging from 2.25–2.29 Å. In the sixth V+2.40+ site, V+2.40+ is bonded in a 10-coordinate geometry to ten B+1.33- atoms. There are a spread of V–B bond distances ranging from 2.25–2.29 Å. In the seventh V+2.40+ site, V+2.40+ is bonded in a 10-coordinate geometry to ten B+1.33- atoms. There are a spread of V–B bond distances ranging from 2.25–2.30 Å. In the eighth V+2.40+ site, V+2.40+ is bonded in a 10-coordinate geometry to ten B+1.33- atoms. There are a spread of V–B bond distances ranging from 2.24–2.29 Å. In the ninth V+2.40+ site, V+2.40+ is bonded in a 10-coordinate geometry to ten B+1.33- atoms. There are a spread of V–B bond distances ranging from 2.24–2.29 Å. In the tenth V+2.40+ site, V+2.40+ is bonded in a 10-coordinate geometry to ten B+1.33- atoms. There are a spread of V–B bond distances ranging from 2.24–2.29 Å. In the eleventh V+2.40+ site, V+2.40+ is bonded in a 10-coordinate geometry to ten B+1.33- atoms. There are a spread of V–B bond distances ranging from 2.25–2.28 Å. In the twelfth V+2.40+ site, V+2.40+ is bonded in a 10-coordinate geometry to ten B+1.33- atoms. There are a spread of V–B bond distances ranging from 2.25–2.28 Å. In the thirteenth V+2.40+ site, V+2.40+ is bonded to twelve B+1.33- atoms to form VB12 cuboctahedra that share edges with two equivalent LuB12 cuboctahedra, a faceface with one LuB12 cuboctahedra, and faces with two equivalent VB12 cuboctahedra. There are a spread of V–B bond distances ranging from 2.41–2.44 Å. In the fourteenth V+2.40+ site, V+2.40+ is bonded to twelve B+1.33- atoms to form VB12 cuboctahedra that share edges with two equivalent LuB12 cuboctahedra, a faceface with one LuB12 cuboctahedra, and faces with two equivalent VB12 cuboctahedra. There are two shorter (2.41 Å) and ten longer (2.43 Å) V–B bond lengths. In the fifteenth V+2.40+ site, V+2.40+ is bonded to twelve B+1.33- atoms to form a mixture of edge and face-sharing VB12 cuboctahedra. There are a spread of V–B bond distances ranging from 2.39–2.45 Å. In the sixteenth V+2.40+ site, V+2.40+ is bonded to twelve B+1.33- atoms to form a mixture of edge and face-sharing VB12 cuboctahedra. There are a spread of V–B bond distances ranging from 2.40–2.45 Å. In the seventeenth V+2.40+ site, V+2.40+ is bonded to twelve B+1.33- atoms to form a mixture of edge and face-sharing VB12 cuboctahedra. There are a spread of V–B bond distances ranging from 2.39–2.45 Å. In the eighteenth V+2.40+ site, V+2.40+ is bonded to twelve B+1.33- atoms to form a mixture of edge and face-sharing VB12 cuboctahedra. There are a spread of V–B bond distances ranging from 2.39–2.45 Å. In the nineteenth V+2.40+ site, V+2.40+ is bonded to twelve B+1.33- atoms to form a mixture of edge and face-sharing VB12 cuboctahedra. There are a spread of V–B bond distances ranging from 2.40–2.44 Å. In the twentieth V+2.40+ site, V+2.40+ is bonded to twelve B+1.33- atoms to form a mixture of edge and face-sharing VB12 cuboctahedra. There are a spread of V–B bond distances ranging from 2.40–2.44 Å. There are seventy-two inequivalent B+1.33- sites. In the first B+1.33- site, B+1.33- is bonded in a 3-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There is one shorter (1.75 Å) and two longer (1.76 Å) B–B bond length. In the second B+1.33- site, B+1.33- is bonded in a 3-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.74–1.76 Å. In the third B+1.33- site, B+1.33- is bonded in a 3-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.75–1.77 Å. In the fourth B+1.33- site, B+1.33- is bonded in a 3-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There is one shorter (1.74 Å) and one longer (1.75 Å) B–B bond length. In the fifth B+1.33- site, B+1.33- is bonded in a 3-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There is one shorter (1.74 Å) and one longer (1.75 Å) B–B bond length. In the sixth B+1.33- site, B+1.33- is bonded in a 3-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There is one shorter (1.74 Å) and one longer (1.75 Å) B–B bond length. In the seventh B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to six Lu3+ and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.80–1.97 Å. In the eighth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to four Lu3+, two equivalent V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.72–1.87 Å. In the ninth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to four Lu3+, two equivalent V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.72–1.88 Å. In the tenth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to six Lu3+ and three B+1.33- atoms. There is one shorter (1.80 Å) and one longer (1.81 Å) B–B bond length. In the eleventh B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to four Lu3+, two equivalent V+2.40+, and three B+1.33- atoms. There is one shorter (1.72 Å) and one longer (1.88 Å) B–B bond length. In the twelfth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to four Lu3+, two equivalent V+2.40+, and three B+1.33- atoms. There is one shorter (1.71 Å) and one longer (1.88 Å) B–B bond length. In the thirteenth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to four Lu3+, two equivalent V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.77–1.83 Å. In the fourteenth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to four Lu3+, two equivalent V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.77–1.83 Å. In the fifteenth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to four Lu3+, two equivalent V+2.40+, and three B+1.33- atoms. There is two shorter (1.78 Å) and one longer (1.84 Å) B–B bond length. In the sixteenth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to four Lu3+, two equivalent V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.77–1.83 Å. In the seventeenth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.71–1.80 Å. In the eighteenth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.71–1.80 Å. In the nineteenth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.68–1.79 Å. In the twentieth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.68–1.79 Å. In the twenty-first B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.68–1.79 Å. In the twenty-second B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.68–1.79 Å. In the twenty-third B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There is one shorter (1.70 Å) and two longer (1.79 Å) B–B bond length. In the twenty-fourth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to two equivalent Lu3+, four V+2.40+, and three B+1.33- atoms. There are a spread of B–B bond distances ranging from 1.70–1.79 Å. In the twenty-fifth B+1.33- site, B+1.33- is bonded in a 9-coordinate geometry to four Lu3+,

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Materials Data on Lu2Ga3Ni14 by Materials Project

Lu2Ni14Ga3 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are two inequivalent Lu sites. In the first Lu site, Lu is bonded in a 6-coordinate geometry to eighteen Ni atoms. There are a spread of Lu–Ni bond distances ranging from 2.84–3.23 Å. In the second Lu site, Lu is bonded in a 8-coordinate geometry to fourteen Ni and six Ga atoms. There are a spread of Lu–Ni bond distances ranging from 2.87–3.06 Å. All Lu–Ga bond lengths are 3.14 Å. There are six inequivalent Ni sites. In the first Ni site, Ni is bonded in a 12-coordinate geometry to three Lu, seven Ni, and two Ga atoms. There are a spread of Ni–Ni bond distances ranging from 2.40–2.61 Å. Both Ni–Ga bond lengths are 2.41 Å. In the second Ni site, Ni is bonded in a 12-coordinate geometry to three Lu, seven Ni, and two equivalent Ga atoms. There are a spread of Ni–Ni bond distances ranging from 2.48–2.62 Å. Both Ni–Ga bond lengths are 2.41 Å. In the third Ni site, Ni is bonded in a 5-coordinate geometry to one Lu, ten Ni, and three Ga atoms. There are one shorter (2.38 Å) and six longer (2.79 Å) Ni–Ni bond lengths. All Ni–Ga bond lengths are 2.54 Å. In the fourth Ni site, Ni is bonded in a 12-coordinate geometry to two Lu, eight Ni, and two equivalent Ga atoms. There are one shorter (2.41 Å) and one longer (2.63 Å) Ni–Ni bond lengths. Both Ni–Ga bond lengths are 2.43 Å. In the fifth Ni site, Ni is bonded in a 12-coordinate geometry to two Lu, eight Ni, and two equivalent Ga atoms. There are one shorter (2.41 Å) and one longer (2.63 Å) Ni–Ni bond lengths. Both Ni–Ga bond lengths are 2.43 Å. In the sixth Ni site, Ni is bonded in a 12-coordinate geometry to two Lu, eight Ni, and two equivalent Ga atoms. Both Ni–Ga bond lengths are 2.43 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded to two equivalent Lu and ten Ni atoms to form a mixture of distorted face and corner-sharing GaLu2Ni10 cuboctahedra. In the second Ga site, Ga is bonded to two equivalent Lu and ten Ni atoms to form a mixture of distorted face and corner-sharing GaLu2Ni10 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on SrCa3Lu9O18 by Materials Project

SrCa3Lu9O18 crystallizes in the hexagonal P6_3 space group. The structure is three-dimensional. Sr is bonded in a distorted hexagonal planar geometry to six O atoms. There are three shorter (2.63 Å) and three longer (2.74 Å) Sr–O bond lengths. Ca is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ca–O bond distances ranging from 2.40–2.82 Å. There are three inequivalent Lu sites. In the first Lu site, Lu is bonded to six O atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Lu–O bond distances ranging from 2.17–2.30 Å. In the second Lu site, Lu is bonded to six O atoms to form a mixture of distorted edge and corner-sharing LuO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Lu–O bond distances ranging from 2.12–2.35 Å. In the third Lu site, Lu is bonded to six O atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Lu–O bond distances ranging from 2.17–2.31 Å. There are six inequivalent O sites. In the first O site, O is bonded to two equivalent Ca and three Lu atoms to form distorted OCa2Lu3 trigonal bipyramids that share corners with two equivalent OCa2Lu3 square pyramids, corners with two equivalent OCa2Lu3 trigonal bipyramids, corners with three OCaLu3 trigonal pyramids, edges with three equivalent OCa2Lu3 square pyramids, edges with three OCa2Lu3 trigonal bipyramids, and edges with three equivalent OCaLu3 trigonal pyramids. In the second O site, O is bonded to two equivalent Ca and three equivalent Lu atoms to form distorted OCa2Lu3 trigonal bipyramids that share corners with two equivalent OCa2Lu3 square pyramids, corners with two equivalent OCa2Lu3 trigonal bipyramids, corners with six OCaLu3 trigonal pyramids, an edgeedge with one OCa2Lu3 square pyramid, edges with five OCa2Lu3 trigonal bipyramids, and an edgeedge with one OSrLu3 trigonal pyramid. In the third O site, O is bonded to two equivalent Ca and three Lu atoms to form OCa2Lu3 square pyramids that share corners with four OCa2Lu3 trigonal bipyramids, corners with three OCaLu3 trigonal pyramids, edges with two equivalent OCa2Lu3 square pyramids, edges with four OCa2Lu3 trigonal bipyramids, and edges with two equivalent OCaLu3 trigonal pyramids. In the fourth O site, O is bonded to one Ca and three equivalent Lu atoms to form distorted OCaLu3 trigonal pyramids that share a cornercorner with one OCa2Lu3 square pyramid, corners with four OCa2Lu3 trigonal bipyramids, corners with six equivalent OCaLu3 trigonal pyramids, edges with two equivalent OCa2Lu3 square pyramids, and edges with three equivalent OCa2Lu3 trigonal bipyramids. In the fifth O site, O is bonded to one Sr and three Lu atoms to form distorted OSrLu3 trigonal pyramids that share corners with two equivalent OCa2Lu3 square pyramids, corners with five OCa2Lu3 trigonal bipyramids, corners with four equivalent OSrLu3 trigonal pyramids, and an edgeedge with one OCa2Lu3 trigonal bipyramid. In the sixth O site, O is bonded in a 4-coordinate geometry to one Sr and three Lu atoms.

36 MATERIALS SCIENCE↗

Materials Data on Lu2Fe14B by Materials Project

Lu2Fe14B is beta Uranium-derived structured and crystallizes in the tetragonal P4_2/mnm space group. The structure is three-dimensional. there are two inequivalent Lu sites. In the first Lu site, Lu is bonded in a 1-coordinate geometry to sixteen Fe and one B atom. There are a spread of Lu–Fe bond distances ranging from 3.01–3.34 Å. The Lu–B bond length is 2.84 Å. In the second Lu site, Lu is bonded in a 6-coordinate geometry to sixteen Fe atoms. There are a spread of Lu–Fe bond distances ranging from 2.96–3.19 Å. There are six inequivalent Fe sites. In the first Fe site, Fe is bonded to two Lu and ten Fe atoms to form a mixture of distorted edge, face, and corner-sharing FeLu2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.35–2.62 Å. In the second Fe site, Fe is bonded in a 2-coordinate geometry to two Lu and twelve Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.63–2.76 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to three Lu and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.38–2.61 Å. In the fourth Fe site, Fe is bonded in a distorted single-bond geometry to two Lu, seven Fe, and one B atom. The Fe–Fe bond length is 2.51 Å. The Fe–B bond length is 2.04 Å. In the fifth Fe site, Fe is bonded in a distorted L-shaped geometry to two equivalent Lu, four Fe, and two equivalent B atoms. Both Fe–B bond lengths are 2.06 Å. In the sixth Fe site, Fe is bonded to four Lu and eight Fe atoms to form a mixture of distorted face and corner-sharing FeLu4Fe8 cuboctahedra. B is bonded in a 6-coordinate geometry to one Lu and six Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Lu2FeB6 by Materials Project

Lu2FeB6 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. there are two inequivalent Lu sites. In the first Lu site, Lu is bonded in a 6-coordinate geometry to fourteen B atoms. There are a spread of Lu–B bond distances ranging from 2.64–2.71 Å. In the second Lu site, Lu is bonded in a 12-coordinate geometry to two equivalent Fe and twelve B atoms. Both Lu–Fe bond lengths are 2.79 Å. There are a spread of Lu–B bond distances ranging from 2.51–2.54 Å. Fe is bonded in a 10-coordinate geometry to two equivalent Lu and ten B atoms. There are a spread of Fe–B bond distances ranging from 2.25–2.32 Å. There are six inequivalent B sites. In the first B site, B is bonded in a 9-coordinate geometry to six Lu and three B atoms. There are a spread of B–B bond distances ranging from 1.78–2.03 Å. In the second B site, B is bonded in a 9-coordinate geometry to four equivalent Lu, two equivalent Fe, and three B atoms. There are a spread of B–B bond distances ranging from 1.74–1.80 Å. In the third B site, B is bonded in a 9-coordinate geometry to four Lu, two equivalent Fe, and three B atoms. The B–B bond length is 1.78 Å. In the fourth B site, B is bonded in a 9-coordinate geometry to four Lu, two equivalent Fe, and three B atoms. There is one shorter (1.69 Å) and one longer (1.84 Å) B–B bond length. In the fifth B site, B is bonded in a 9-coordinate geometry to four Lu, two equivalent Fe, and three B atoms. The B–B bond length is 1.76 Å. In the sixth B site, B is bonded in a 9-coordinate geometry to four Lu, two equivalent Fe, and three B atoms.

36 MATERIALS SCIENCE↗

Materials Data on Lu5Sb3 by Materials Project

Lu5Sb3 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are four inequivalent Lu sites. In the first Lu site, Lu is bonded in a 5-coordinate geometry to five Sb atoms. There are a spread of Lu–Sb bond distances ranging from 2.99–3.37 Å. In the second Lu site, Lu is bonded to five Sb atoms to form distorted LuSb5 square pyramids that share corners with five equivalent LuSb6 octahedra, an edgeedge with one LuSb6 octahedra, edges with two equivalent LuSb5 square pyramids, and a faceface with one LuSb6 octahedra. The corner-sharing octahedra tilt angles range from 36–45°. There are a spread of Lu–Sb bond distances ranging from 3.07–3.12 Å. In the third Lu site, Lu is bonded to six Sb atoms to form distorted LuSb6 octahedra that share corners with five equivalent LuSb5 square pyramids, an edgeedge with one LuSb5 square pyramid, faces with two equivalent LuSb6 octahedra, and a faceface with one LuSb5 square pyramid. There are a spread of Lu–Sb bond distances ranging from 3.01–3.31 Å. In the fourth Lu site, Lu is bonded in a 5-coordinate geometry to five Sb atoms. There are a spread of Lu–Sb bond distances ranging from 3.00–3.26 Å. There are two inequivalent Sb sites. In the first Sb site, Sb is bonded in a 9-coordinate geometry to nine Lu atoms. In the second Sb site, Sb is bonded in a 8-coordinate geometry to eight Lu atoms.

36 MATERIALS SCIENCE↗

Materials Data on Lu2Fe14C by Materials Project

Lu2Fe14C crystallizes in the tetragonal P4_2/mnm space group. The structure is three-dimensional. there are two inequivalent Lu sites. In the first Lu site, Lu is bonded in a 1-coordinate geometry to sixteen Fe and one C atom. There are a spread of Lu–Fe bond distances ranging from 2.98–3.34 Å. The Lu–C bond length is 2.81 Å. In the second Lu site, Lu is bonded in a 12-coordinate geometry to sixteen Fe atoms. There are a spread of Lu–Fe bond distances ranging from 2.93–3.23 Å. There are six inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to three Lu and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.34–2.74 Å. In the second Fe site, Fe is bonded to two Lu and ten Fe atoms to form a mixture of distorted edge, corner, and face-sharing FeLu2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.39–2.60 Å. In the third Fe site, Fe is bonded in a 2-coordinate geometry to two Lu and twelve Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.71–2.77 Å. In the fourth Fe site, Fe is bonded in a single-bond geometry to two Lu, seven Fe, and one C atom. The Fe–Fe bond length is 2.46 Å. The Fe–C bond length is 1.97 Å. In the fifth Fe site, Fe is bonded to four Lu and eight Fe atoms to form a mixture of distorted corner and face-sharing FeLu4Fe8 cuboctahedra. In the sixth Fe site, Fe is bonded in a water-like geometry to two equivalent Lu, four Fe, and two equivalent C atoms. Both Fe–C bond lengths are 2.01 Å. C is bonded in a 6-coordinate geometry to one Lu and six Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Lu5(In2Ni)2 by Materials Project

Lu5Ni2In4 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. there are three inequivalent Lu sites. In the first Lu site, Lu is bonded in a 8-coordinate geometry to two equivalent Ni and six In atoms. Both Lu–Ni bond lengths are 2.70 Å. There are a spread of Lu–In bond distances ranging from 3.11–3.35 Å. In the second Lu site, Lu is bonded in a 10-coordinate geometry to four equivalent Ni and six In atoms. There are two shorter (2.85 Å) and two longer (2.88 Å) Lu–Ni bond lengths. There are a spread of Lu–In bond distances ranging from 3.19–3.31 Å. In the third Lu site, Lu is bonded in a distorted body-centered cubic geometry to eight In atoms. There are four shorter (3.15 Å) and four longer (3.27 Å) Lu–In bond lengths. Ni is bonded in a 9-coordinate geometry to six Lu and three In atoms. There are a spread of Ni–In bond distances ranging from 2.79–3.25 Å. There are two inequivalent In sites. In the first In site, In is bonded in a 9-coordinate geometry to eight Lu and one Ni atom. In the second In site, In is bonded in a 9-coordinate geometry to eight Lu and two equivalent Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on Lu4CdPt by Materials Project

Lu4PtCd crystallizes in the cubic F-43m space group. The structure is three-dimensional. there are three inequivalent Lu sites. In the first Lu site, Lu is bonded in a 3-coordinate geometry to three equivalent Pt and three equivalent Cd atoms. All Lu–Pt bond lengths are 2.80 Å. All Lu–Cd bond lengths are 3.33 Å. In the second Lu site, Lu is bonded in a distorted bent 150 degrees geometry to two equivalent Pt and two equivalent Cd atoms. Both Lu–Pt bond lengths are 2.78 Å. Both Lu–Cd bond lengths are 3.44 Å. In the third Lu site, Lu is bonded in a 4-coordinate geometry to two equivalent Pt and two equivalent Cd atoms. Both Lu–Pt bond lengths are 3.45 Å. Both Lu–Cd bond lengths are 3.19 Å. Pt is bonded in a 6-coordinate geometry to nine Lu atoms. Cd is bonded to nine Lu and three equivalent Cd atoms to form a mixture of distorted face and corner-sharing CdLu9Cd3 cuboctahedra. All Cd–Cd bond lengths are 3.11 Å.

36 MATERIALS SCIENCE↗