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Lu2C is trigonal omega-like structured and crystallizes in the trigonal R-3m space group. The structure is two-dimensional and consists of three Lu2C sheets oriented in the (0, 0, 1) direction. Lu is bonded in a distorted T-shaped geometry to three equivalent C atoms. All Lu–C bond lengths are 2.41 Å. C is bonded to six equivalent Lu atoms to form edge-sharing CLu6 octahedra.
LiLuTl2 is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Li is bonded in a body-centered cubic geometry to eight equivalent Tl atoms. All Li–Tl bond lengths are 3.14 Å. Lu is bonded in a distorted body-centered cubic geometry to eight equivalent Tl atoms. All Lu–Tl bond lengths are 3.14 Å. Tl is bonded in a body-centered cubic geometry to four equivalent Li and four equivalent Lu atoms.
Ba4Sr2Lu3(BiO6)3 is Orthorhombic Perovskite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.31 Å. In the second Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.37 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–3.36 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.39 Å. There are two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to five O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.72 Å. In the second Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.61–3.06 Å. There are three inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–27°. There are a spread of Lu–O bond distances ranging from 2.18–2.21 Å. In the second Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–21°. There are a spread of Lu–O bond distances ranging from 2.18–2.20 Å. In the third Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–25°. There are a spread of Lu–O bond distances ranging from 2.18–2.21 Å. There are three inequivalent Bi5+ sites. In the first Bi5+ site, Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six LuO6 octahedra. The corner-sharing octahedra tilt angles range from 16–25°. There are a spread of Bi–O bond distances ranging from 2.13–2.15 Å. In the second Bi5+ site, Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six LuO6 octahedra. The corner-sharing octahedra tilt angles range from 18–27°. There are a spread of Bi–O bond distances ranging from 2.13–2.15 Å. In the third Bi5+ site, Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six LuO6 octahedra. The corner-sharing octahedra tilt angles range from 14–21°. There are one shorter (2.13 Å) and five longer (2.14 Å) Bi–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+, one Sr2+, one Lu3+, and one Bi5+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+, one Lu3+, and one Bi5+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+, one Sr2+, one Lu3+, and one Bi5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ba2+, one Lu3+, and one Bi5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Ba2+, two equivalent Sr2+, one Lu3+, and one Bi5+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+, one Lu3+, and one Bi5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Sr2+, one Lu3+, and one Bi5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Sr2+, one Lu3+, and one Bi5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+, one Lu3+, and one Bi5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, one Sr2+, one Lu3+, and one Bi5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Ba2+, one Sr2+, one Lu3+, and one Bi5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Ba2+, one Lu3+, and one Bi5+ atom.
LuEr3 is Magnesium-derived structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Lu is bonded to twelve equivalent Er atoms to form LuEr12 cuboctahedra that share corners with six equivalent LuEr12 cuboctahedra, corners with twelve equivalent ErEr8Lu4 cuboctahedra, edges with eighteen equivalent ErEr8Lu4 cuboctahedra, faces with eight equivalent LuEr12 cuboctahedra, and faces with twelve equivalent ErEr8Lu4 cuboctahedra. There are six shorter (3.45 Å) and six longer (3.55 Å) Lu–Er bond lengths. Er is bonded to four equivalent Lu and eight equivalent Er atoms to form ErEr8Lu4 cuboctahedra that share corners with four equivalent LuEr12 cuboctahedra, corners with fourteen equivalent ErEr8Lu4 cuboctahedra, edges with six equivalent LuEr12 cuboctahedra, edges with twelve equivalent ErEr8Lu4 cuboctahedra, faces with four equivalent LuEr12 cuboctahedra, and faces with sixteen equivalent ErEr8Lu4 cuboctahedra. There are a spread of Er–Er bond distances ranging from 3.46–3.56 Å.
Nd(LuS2)3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are three inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded to seven S2- atoms to form distorted LuS7 pentagonal bipyramids that share corners with three LuS6 octahedra, edges with two equivalent LuS6 octahedra, and edges with four equivalent LuS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Lu–S bond distances ranging from 2.65–2.88 Å. In the second Lu3+ site, Lu3+ is bonded to six S2- atoms to form LuS6 octahedra that share corners with three equivalent LuS6 octahedra, a cornercorner with one LuS7 pentagonal bipyramid, edges with four equivalent LuS6 octahedra, and edges with two equivalent LuS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Lu–S bond distances ranging from 2.63–2.73 Å. In the third Lu3+ site, Lu3+ is bonded to six S2- atoms to form LuS6 octahedra that share corners with three equivalent LuS6 octahedra, corners with two equivalent LuS7 pentagonal bipyramids, and edges with four equivalent LuS6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Lu–S bond distances ranging from 2.61–2.75 Å. Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.89–3.03 Å. There are six inequivalent S2- sites. In the first S2- site, S2- is bonded in a 4-coordinate geometry to four Lu3+ atoms. In the second S2- site, S2- is bonded to three Lu3+ and one Nd3+ atom to form distorted SNdLu3 trigonal pyramids that share corners with two equivalent SNd2Lu3 square pyramids, corners with four SNd2Lu3 trigonal bipyramids, corners with two equivalent SNdLu3 trigonal pyramids, edges with three equivalent SNd2Lu3 square pyramids, and edges with two equivalent SNd3Lu2 trigonal bipyramids. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Lu3+ atoms. In the fourth S2- site, S2- is bonded to three equivalent Lu3+ and two equivalent Nd3+ atoms to form distorted SNd2Lu3 square pyramids that share corners with six SNd2Lu3 trigonal bipyramids, corners with two equivalent SNdLu3 trigonal pyramids, edges with four equivalent SNd2Lu3 square pyramids, edges with two SNd2Lu3 trigonal bipyramids, and edges with three equivalent SNdLu3 trigonal pyramids. In the fifth S2- site, S2- is bonded to three Lu3+ and two equivalent Nd3+ atoms to form distorted SNd2Lu3 trigonal bipyramids that share corners with two equivalent SNd2Lu3 square pyramids, corners with two equivalent SNd3Lu2 trigonal bipyramids, corners with three equivalent SNdLu3 trigonal pyramids, an edgeedge with one SNd2Lu3 square pyramid, and edges with five SNd2Lu3 trigonal bipyramids. In the sixth S2- site, S2- is bonded to two equivalent Lu3+ and three equivalent Nd3+ atoms to form distorted SNd3Lu2 trigonal bipyramids that share corners with four equivalent SNd2Lu3 square pyramids, corners with two equivalent SNd2Lu3 trigonal bipyramids, a cornercorner with one SNdLu3 trigonal pyramid, an edgeedge with one SNd2Lu3 square pyramid, edges with seven SNd2Lu3 trigonal bipyramids, and edges with two equivalent SNdLu3 trigonal pyramids.
LuTbIn2 is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Lu is bonded in a body-centered cubic geometry to eight equivalent In atoms. All Lu–In bond lengths are 3.24 Å. Tb is bonded in a body-centered cubic geometry to eight equivalent In atoms. All Tb–In bond lengths are 3.24 Å. In is bonded in a body-centered cubic geometry to four equivalent Lu and four equivalent Tb atoms.
Lu5(ReO6)2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded to seven O2- atoms to form distorted LuO7 pentagonal bipyramids that share corners with two equivalent LuO6 octahedra, an edgeedge with one LuO6 octahedra, edges with two equivalent ReO6 octahedra, and edges with two equivalent LuO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of Lu–O bond distances ranging from 2.23–2.38 Å. In the second 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 2.22–2.45 Å. In the third Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with four equivalent ReO6 octahedra, corners with four equivalent LuO7 pentagonal bipyramids, and edges with two equivalent LuO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 38°. There are two shorter (2.14 Å) and four longer (2.28 Å) Lu–O bond lengths. Re+4.50+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with two equivalent LuO6 octahedra, edges with two equivalent ReO6 octahedra, and edges with two equivalent LuO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 38°. There are four shorter (1.97 Å) and two longer (2.09 Å) Re–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Lu3+ and two equivalent Re+4.50+ atoms. In the second O2- site, O2- is bonded to three Lu3+ and one Re+4.50+ atom to form distorted OLu3Re tetrahedra that share corners with ten OLu3Re tetrahedra, a cornercorner with one OLu2Re2 trigonal pyramid, edges with three OLu3Re tetrahedra, and edges with two equivalent OLu2Re2 trigonal pyramids. In the third O2- site, O2- is bonded to two Lu3+ and two equivalent Re+4.50+ atoms to form distorted OLu2Re2 trigonal pyramids that share corners with eight OLu3Re tetrahedra, edges with four equivalent OLu3Re tetrahedra, and an edgeedge with one OLu2Re2 trigonal pyramid. In the fourth O2- site, O2- is bonded to four Lu3+ atoms to form OLu4 tetrahedra that share corners with ten OLu3Re tetrahedra, corners with three equivalent OLu2Re2 trigonal pyramids, and edges with four OLu3Re tetrahedra.
LiLuRh2 is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Li is bonded in a body-centered cubic geometry to eight equivalent Rh atoms. All Li–Rh bond lengths are 2.75 Å. Lu is bonded in a body-centered cubic geometry to eight equivalent Rh atoms. All Lu–Rh bond lengths are 2.75 Å. Rh is bonded in a body-centered cubic geometry to four equivalent Li and four equivalent Lu atoms.
LuHoHg2 is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Lu is bonded in a body-centered cubic geometry to eight equivalent Hg atoms. All Lu–Hg bond lengths are 3.19 Å. Ho is bonded in a body-centered cubic geometry to eight equivalent Hg atoms. All Ho–Hg bond lengths are 3.19 Å. Hg is bonded in a body-centered cubic geometry to four equivalent Lu and four equivalent Ho atoms.
Lu4Fe is Iron carbide-like structured and crystallizes in the cubic Fd-3m space group. The structure is zero-dimensional and consists of eight Lu4Fe clusters. Lu is bonded in a single-bond geometry to one Fe atom. The Lu–Fe bond length is 2.39 Å. Fe is bonded in a tetrahedral geometry to four equivalent Lu atoms.
Lu4Co is Iron carbide-like structured and crystallizes in the cubic Fd-3m space group. The structure is zero-dimensional and consists of eight Lu4Co clusters. Lu is bonded in a single-bond geometry to one Co atom. The Lu–Co bond length is 2.43 Å. Co is bonded in a tetrahedral geometry to four equivalent Lu atoms.
LuErZn2 is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Lu is bonded in a body-centered cubic geometry to eight equivalent Zn atoms. All Lu–Zn bond lengths are 3.04 Å. Er is bonded in a body-centered cubic geometry to eight equivalent Zn atoms. All Er–Zn bond lengths are 3.04 Å. Zn is bonded in a body-centered cubic geometry to four equivalent Lu and four equivalent Er atoms.
Li2LuIn is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Li is bonded in a body-centered cubic geometry to four equivalent Lu and four equivalent In atoms. All Li–Lu bond lengths are 2.93 Å. All Li–In bond lengths are 2.93 Å. Lu is bonded in a distorted body-centered cubic geometry to eight equivalent Li atoms. In is bonded in a body-centered cubic geometry to eight equivalent Li atoms.
CaLuPd2 is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Ca is bonded in a body-centered cubic geometry to eight equivalent Pd atoms. All Ca–Pd bond lengths are 3.01 Å. Lu is bonded in a body-centered cubic geometry to eight equivalent Pd atoms. All Lu–Pd bond lengths are 3.01 Å. Pd is bonded in a body-centered cubic geometry to four equivalent Ca and four equivalent Lu atoms.
Ca3Lu is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Ca is bonded to eight equivalent Ca and four equivalent Lu atoms to form CaCa8Lu4 cuboctahedra that share corners with four equivalent LuCa12 cuboctahedra, corners with fourteen equivalent CaCa8Lu4 cuboctahedra, edges with six equivalent LuCa12 cuboctahedra, edges with twelve equivalent CaCa8Lu4 cuboctahedra, faces with four equivalent LuCa12 cuboctahedra, and faces with sixteen equivalent CaCa8Lu4 cuboctahedra. There are a spread of Ca–Ca bond distances ranging from 3.67–3.84 Å. There are two shorter (3.75 Å) and two longer (3.76 Å) Ca–Lu bond lengths. Lu is bonded to twelve equivalent Ca atoms to form LuCa12 cuboctahedra that share corners with six equivalent LuCa12 cuboctahedra, corners with twelve equivalent CaCa8Lu4 cuboctahedra, edges with eighteen equivalent CaCa8Lu4 cuboctahedra, faces with eight equivalent LuCa12 cuboctahedra, and faces with twelve equivalent CaCa8Lu4 cuboctahedra.
LuScCu2 is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Lu is bonded in a body-centered cubic geometry to eight equivalent Cu atoms. All Lu–Cu bond lengths are 2.89 Å. Sc is bonded in a body-centered cubic geometry to eight equivalent Cu atoms. All Sc–Cu bond lengths are 2.89 Å. Cu is bonded in a body-centered cubic geometry to four equivalent Lu and four equivalent Sc atoms.
Ce(LuS2)3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are three inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded to seven S2- atoms to form distorted LuS7 pentagonal bipyramids that share corners with three LuS6 octahedra, edges with two equivalent LuS6 octahedra, and edges with four equivalent LuS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of Lu–S bond distances ranging from 2.65–2.87 Å. In the second Lu3+ site, Lu3+ is bonded to six S2- atoms to form LuS6 octahedra that share corners with three equivalent LuS6 octahedra, a cornercorner with one LuS7 pentagonal bipyramid, edges with four equivalent LuS6 octahedra, and edges with two equivalent LuS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Lu–S bond distances ranging from 2.63–2.73 Å. In the third Lu3+ site, Lu3+ is bonded to six S2- atoms to form LuS6 octahedra that share corners with three equivalent LuS6 octahedra, corners with two equivalent LuS7 pentagonal bipyramids, and edges with four equivalent LuS6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Lu–S bond distances ranging from 2.62–2.74 Å. Ce3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Ce–S bond distances ranging from 2.89–3.02 Å. There are six inequivalent S2- sites. In the first S2- site, S2- is bonded in a 4-coordinate geometry to four Lu3+ atoms. In the second S2- site, S2- is bonded to three Lu3+ and one Ce3+ atom to form distorted SCeLu3 trigonal pyramids that share corners with two equivalent SCe2Lu3 square pyramids, corners with four SCe2Lu3 trigonal bipyramids, corners with two equivalent SCeLu3 trigonal pyramids, edges with three equivalent SCe2Lu3 square pyramids, and edges with two equivalent SCe3Lu2 trigonal bipyramids. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Lu3+ atoms. In the fourth S2- site, S2- is bonded to three equivalent Lu3+ and two equivalent Ce3+ atoms to form distorted SCe2Lu3 square pyramids that share corners with six SCe2Lu3 trigonal bipyramids, corners with two equivalent SCeLu3 trigonal pyramids, edges with four equivalent SCe2Lu3 square pyramids, edges with two SCe2Lu3 trigonal bipyramids, and edges with three equivalent SCeLu3 trigonal pyramids. In the fifth S2- site, S2- is bonded to three Lu3+ and two equivalent Ce3+ atoms to form distorted SCe2Lu3 trigonal bipyramids that share corners with two equivalent SCe2Lu3 square pyramids, corners with two equivalent SCe3Lu2 trigonal bipyramids, corners with three equivalent SCeLu3 trigonal pyramids, an edgeedge with one SCe2Lu3 square pyramid, and edges with five SCe2Lu3 trigonal bipyramids. In the sixth S2- site, S2- is bonded to two equivalent Lu3+ and three equivalent Ce3+ atoms to form distorted SCe3Lu2 trigonal bipyramids that share corners with four equivalent SCe2Lu3 square pyramids, corners with two equivalent SCe2Lu3 trigonal bipyramids, a cornercorner with one SCeLu3 trigonal pyramid, an edgeedge with one SCe2Lu3 square pyramid, edges with seven SCe2Lu3 trigonal bipyramids, and edges with two equivalent SCeLu3 trigonal pyramids.
PaLuRe2 is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Pa is bonded in a body-centered cubic geometry to eight equivalent Re atoms. All Pa–Re bond lengths are 2.96 Å. Lu is bonded in a body-centered cubic geometry to eight equivalent Re atoms. All Lu–Re bond lengths are 2.96 Å. Re is bonded in a body-centered cubic geometry to four equivalent Pa and four equivalent Lu atoms.