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Materials Data on Ba6Ca15Cu18Hg3O43 by Materials Project

Ba6Ca15Cu18Hg3O43 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Ba sites. In the first Ba site, Ba is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Ba–O bond distances ranging from 2.64–2.94 Å. In the second Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.77–2.84 Å. In the third Ba site, Ba is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.77–2.84 Å. There are eight inequivalent Ca sites. In the first Ca site, Ca is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.43 Å) and four longer (2.60 Å) Ca–O bond lengths. In the second Ca site, Ca is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.58 Å. In the third Ca site, Ca is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.58 Å. In the fourth Ca site, Ca is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.49 Å) and four longer (2.55 Å) Ca–O bond lengths. In the fifth Ca site, Ca is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.49–2.54 Å. In the sixth Ca site, Ca is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.49–2.54 Å. In the seventh Ca site, Ca is bonded in a body-centered cubic geometry to eight O atoms. All Ca–O bond lengths are 2.52 Å. In the eighth Ca site, Ca is bonded in a body-centered cubic geometry to eight O atoms. All Ca–O bond lengths are 2.52 Å. There are nine inequivalent Cu sites. In the first Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. All Cu–O bond lengths are 1.93 Å. In the second Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. All Cu–O bond lengths are 1.94 Å. In the third Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There is two shorter (1.93 Å) and two longer (1.94 Å) Cu–O bond length. In the fourth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. All Cu–O bond lengths are 1.93 Å. In the fifth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. All Cu–O bond lengths are 1.93 Å. In the sixth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. All Cu–O bond lengths are 1.94 Å. In the seventh Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There is two shorter (1.93 Å) and two longer (1.94 Å) Cu–O bond length. In the eighth Cu site, Cu is bonded in a rectangular see-saw-like geometry to five O atoms. There are four shorter (1.94 Å) and one longer (2.69 Å) Cu–O bond lengths. In the ninth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There is two shorter (1.93 Å) and two longer (1.94 Å) Cu–O bond length. There are two inequivalent Hg sites. In the first Hg site, Hg is bonded in a linear geometry to four O atoms. There are two shorter (2.06 Å) and two longer (2.74 Å) Hg–O bond lengths. In the second Hg site, Hg is bonded in a distorted T-shaped geometry to three O atoms. There are two shorter (2.05 Å) and one longer (2.63 Å) Hg–O bond lengths. There are twelve inequivalent O sites. In the first O site, O is bonded to two Ba, two Ca, and two Cu atoms to form distorted OBa2Ca2Cu2 octahedra that share corners with nine OCa4Cu2 octahedra, edges with three OCa4Cu2 octahedra, and faces with four OBa2Ca2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 4–66°. In the second O site, O is bonded to two Ba, two Ca, and two Cu atoms to form distorted OBa2Ca2Cu2 octahedra that share corners with nine OCa4Cu2 octahedra, edges with three OCa4Cu2 octahedra, and faces with four OBa2Ca2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 4–66°. In the third O site, O is bonded to two Ba, two Ca, and two Cu atoms to form distorted OBa2Ca2Cu2 octahedra that share corners with eight OCa4Cu2 octahedra, edges with three OCa4Cu2 octahedra, and faces with four OBa2Ca2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 3–66°. In the fourth O site, O is bonded to four Ca and two Cu atoms to form a mixture of face, edge, and corner-sharing OCa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–66°. In the fifth O site, O is bonded to four Ca and two Cu atoms to form a mixture of face, edge, and corner-sharing OCa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–66°. In the sixth O site, O is bonded to four Ca and two Cu atoms to form a mixture of face, edge, and corner-sharing OCa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–66°. In the seventh O site, O is bonded to four Ca and two Cu atoms to form a mixture of face, edge, and corner-sharing OCa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the eighth O site, O is bonded to four Ca and two Cu atoms to form a mixture of face, edge, and corner-sharing OCa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the ninth O site, O is bonded to four Ca and two Cu atoms to form a mixture of face, edge, and corner-sharing OCa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the tenth O site, O is bonded in a 5-coordinate geometry to four Ba and one Hg atom. In the eleventh O site, O is bonded in a 1-coordinate geometry to four Ba, one Cu, and one Hg atom. In the twelfth O site, O is bonded to two equivalent Ba and four Hg atoms to form distorted corner-sharing OBa2Hg4 octahedra. The corner-sharing octahedra tilt angles range from 0–41°.

36 MATERIALS SCIENCE↗

Thiol‐Functionalized Conjugated Metal–Organic Frameworks for Stable and Efficient Perovskite Photovoltaics

Abstract Metal–organic frameworks (MOFs) have been investigated recently in perovskite photovoltaics owing to their potential to boost optoelectronic performance and device stability. However, the impact of variations in the MOF side chain on perovskite characteristics and the mechanism of MOF/perovskite film formation remains unclear. In this study, three nanoscale thiol‐functionalized UiO‐66‐type Zr‐based MOFs (UiO‐66‐(SH) 2 , UiO‐66‐MSA, and UiO‐66‐DMSA) are systematically employed and examined in perovskite solar cells (PSCs). Among these MOFs, UiO‐66‐(SH) 2 , with its rigid organic ligands, exhibited a strong interaction with perovskite materials with more efficient suppression of perovskite vacancy defects. More importantly, A detailed and in‐depth discussion is provided on the formation mechanism of UiO‐66‐(SH) 2 ‐assisted perovskite film upon in situ GIWAXS performed during the annealing process. The incorporation of UiO‐66‐(SH) 2 additives substantially facilitates the conversion of PbI 2 into the perovskite phase, prolongs the duration of stage I, and induces a delayed phase transformation pathway. Consequently, the UiO‐66‐(SH) 2 ‐assisted device demonstrates reduced defect density and superior optoelectronic properties with optimized power conversion efficiency of 24.09% and enhanced long‐term stability under ambient environment and continuous light illumination conditions. This study acts as a helpful design guide for desired MOF/perovskite structures, enabling further advancements in MOF/perovskite optoelectronic devices.

14 SOLAR ENERGY↗

Onion-Like nanoparticles of the metal–organic framework UiO-66 synthesized by sequential spike crystal growth

Reproducible size and morphology of metal–organic framework (MOF) particles are essential for tuning these materials for applications like heterogeneous catalysis. Particle size measurements from electron micrographs provide information about the impact of changing synthetic parameters on MOF growth, but reported data are usually limited to averages and statistical distributions. Further elucidating synthetic control parameters could facilitate studies of facet-dependent and non-classical growth mechanisms. Here, in this work, phase-pure nanoparticles of the MOF UiO-66 were synthesized using alternating spikes of zirconium and hafnium-based nodes, forming an onion-like structure with alternating layers of Zr-UiO-66 and Hf-UiO-66. In conventional, bright-field transmission electron micrographs, Hf-UiO-66 and Zr-UiO-66 layers appeared darker and lighter, respectively. Alternating layers of Hf-UiO-66 and Zr-UiO-66 were also apparent in elemental maps obtained using scanning transmission electron microscopy with energy-dispersive X-ray spectroscopy. Average particle sizes increased monotonically with each spike, and no Zr-only or Hf-only particles were observed after the first spike, indicating that new material was consistently incorporated onto existing seeds. Surface area of the onion-like particles and their uptake of Ni 2+ from solution were both between the values measured for Zr-UiO-66 and Hf-UiO-66. Results demonstrate the use of sequential spikes of nodes in monitoring crystal growth in MOFs.

36 MATERIALS SCIENCE↗

Materials Data on Li3FeNi2(PO4)3 by Materials Project

Li3FeNi2(PO4)3 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four NiO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with three NiO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with three NiO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two NiO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two NiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two NiO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two NiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–67°. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two NiO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Fe–O bond distances ranging from 2.08–2.24 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.08–2.24 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.08–2.24 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Fe–O bond distances ranging from 2.08–2.24 Å. There are eight inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Ni–O bond distances ranging from 2.07–2.18 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Ni–O bond distances ranging from 2.07–2.18 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent NiO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Ni–O bond distances ranging from 2.08–2.17 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent NiO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Ni–O bond distances ranging from 2.08–2.17 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Ni–O bond distances ranging from 2.08–2.17 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Ni–O bond distances ranging from 2.07–2.17 Å. In the seventh Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Ni–O bond distances ranging from 2.07–2.17 Å. In the eighth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Ni–O bond distances ranging from 2.07–2.17 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two FeO6 octahedra, corners with two equivalent NiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two FeO6 octahedra, corners with two equivalent NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, corners with two NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, corners with two NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahe

36 MATERIALS SCIENCE↗

Materials Data on Ba8Sr2Sm5(Cu3O7)5 by Materials Project

Ba8Sr2Sm5(Cu3O7)5 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are seven inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.03 Å. In the second Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.03 Å. In the third Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.03 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.04 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.05 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.02 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.03 Å. There are two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.76–3.00 Å. In the second Sr2+ site, Sr2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.76–3.00 Å. There are four inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.44 Å) and four longer (2.46 Å) Sm–O bond lengths. In the second Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.44 Å) and four longer (2.46 Å) Sm–O bond lengths. In the third Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are two shorter (2.44 Å) and six longer (2.46 Å) Sm–O bond lengths. In the fourth Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.44–2.47 Å. There are thirteen inequivalent Cu+2.33+ sites. In the first Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.24 Å. In the second Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.21 Å. In the third Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.22 Å. In the fourth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.22 Å. In the fifth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.25 Å. In the sixth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.22 Å. In the seventh Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.14 Å. In the eighth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.14 Å. In the ninth Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.87 Å) and two longer (1.97 Å) Cu–O bond length. In the tenth Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.87 Å) and two longer (1.97 Å) Cu–O bond length. In the eleventh Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.87 Å) and two longer (1.97 Å) Cu–O bond length. In the twelfth Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.87 Å) and two longer (1.97 Å) Cu–O bond length. In the thirteenth Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.87–1.97 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form distorted OBa4Cu2 octahedra that share corners with nine OSr4Cu2 octahedra, edges with four equivalent OBa4Cu2 octahedra, and faces with two equivalent OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–67°. In the second O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the third O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fourth O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fifth O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form distorted OBa4Cu2 octahedra that share corners with nine OBa4Cu2 octahedra, edges with four equivalent OBa4Cu2 octahedra, and faces with two equivalent OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–67°. In the sixth O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the seventh O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. The O–Cu bond length is 2.22 Å. In the eighth O2- site, O2- is bonded to four equivalent Sr2+ and two Cu+2.33+ atoms to form distorted OSr4Cu2 octahedra that share corners with nine OBa4Cu2 octahedra, edges with four equivalent OSr4Cu2 octahedra, and faces with two equivalent OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–65°. In the ninth O2- site, O2- is bonded to four equivalent Sr2+ and two Cu+2.33+ atoms to form distorted OSr4Cu2 octahedra that share corners with nine OSr4Cu2 octahedra, edges with four equivalent OSr4Cu2 octahedra, and faces with two equivalent OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–65°. In the tenth O2- site, O2- is bonded to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Cu+2.33+ atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with ten OSr4Cu2 octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with four OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 4–67°. In the eleventh O2- site, O2- is bonded to four Ba2+ and two equivalent Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the twelfth O2- site, O2- is bonded to four equivalent Ba2+ and two equivalent Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the thirteenth O2- site, O2- is bonded to four Ba2+ and two equivalent Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fourteenth O2- site, O2- is bonded to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Cu+2.33+ atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with ten OBa4Cu2 octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with four OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 4–67°. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the seventeenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-first O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. Both O–Sm bond lengths are 2.44 Å. Both O–Cu bond lengths are 1.99 Å. In the twenty-second O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Sr2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-third O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Sr2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. Both O–Sm bond lengths are 2.46 Å. Both O–Cu bond lengths are 1.95 Å. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Sr2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Sr2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgVNiP2O9 by Materials Project

MgVNiP2O9 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with two NiO6 octahedra, corners with four VO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Mg–O bond distances ranging from 2.19–2.56 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with two NiO6 octahedra, corners with four VO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of Mg–O bond distances ranging from 2.19–2.54 Å. There are two inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two NiO6 octahedra, corners with four MgO6 octahedra, corners with three equivalent PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of V–O bond distances ranging from 1.71–2.11 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two NiO6 octahedra, corners with four MgO6 octahedra, corners with three equivalent PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of V–O bond distances ranging from 1.71–2.12 Å. There are four inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent VO6 octahedra, corners with four PO4 tetrahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Ni–O bond distances ranging from 2.01–2.14 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent VO6 octahedra, corners with four PO4 tetrahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Ni–O bond distances ranging from 2.01–2.14 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent VO6 octahedra, corners with four PO4 tetrahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of Ni–O bond distances ranging from 2.01–2.14 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent VO6 octahedra, corners with four PO4 tetrahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Ni–O bond distances ranging from 2.01–2.14 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NiO6 octahedra, corners with three equivalent VO6 octahedra, and an edgeedge with one MgO6 octahedra. The corner-sharing octahedra tilt angles range from 7–53°. There are a spread of P–O bond distances ranging from 1.51–1.55 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NiO6 octahedra, corners with three equivalent VO6 octahedra, and an edgeedge with one MgO6 octahedra. The corner-sharing octahedra tilt angles range from 7–52°. There are a spread of P–O bond distances ranging from 1.51–1.55 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NiO6 octahedra, corners with four MgO6 octahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–65°. There is two shorter (1.55 Å) and two longer (1.57 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NiO6 octahedra, corners with four MgO6 octahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–65°. There is two shorter (1.55 Å) and two longer (1.57 Å) P–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Ni2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Ni2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Ni2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Ni2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ni2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ni2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+ and two Ni2+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+ and two Ni2+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one V4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one V4+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one V4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Mg2+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Mg2+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one V4+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one V4+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Structural transformation of metal oxo species within UiO-66 type metal–organic frameworks

Studying the coordination of actinide-based metal oxo clusters can provide valuable insights for nuclear energy technologies and radioactive waste containment. Metal–organic frameworks serve as a platform to directly interrogate the structure and properties of understudied actinide elements, including thorium. Examples of structural evolutions within Th oxo species within MOFs are rare yet relevant for nuclear waste speciation in solution. Herein, we report the serendipitous discovery of the structural evolution of Th-UiO-66 containing a hexanuclear Th node to a mononuclear Th(bdc) 2 (dmf) 2 upon the evaporation of solvent from the reaction. We observe a partial reversal of Th(bdc) 2 (dmf) 2 back to Th-UiO-66 upon hydrothermal treatment, indicating the complex dynamics of Th oxo species in solution. As a result, we report that isolated Ce-UiO-66 similarly transforms to a newly isolated 1D Ce III carboxylate chain MOF named NU-351 under the same conditions as Th-UiO-66, while Zr-UiO-66 and Hf-UiO-66 retain their structures.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗

Materials Data on Ca6Al6Si3(HO12)2 by Materials Project

Ca6Al6Si3(HO12)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Ca sites. In the first Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with three CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.36–2.56 Å. In the second Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.55 Å. In the third Ca site, Ca is bonded to six O atoms to form distorted CaO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.59 Å. In the fourth Ca site, Ca is bonded to six O atoms to form distorted CaO6 octahedra that share corners with two SiO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.61 Å. In the fifth Ca site, Ca is bonded to six O atoms to form distorted CaO6 octahedra that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.34–2.62 Å. In the sixth Ca site, Ca is bonded to six O atoms to form distorted CaO6 octahedra that share corners with two SiO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.34–2.64 Å. In the seventh Ca site, Ca is bonded to six O atoms to form distorted CaO6 octahedra that share corners with two SiO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.29–2.60 Å. In the eighth Ca site, Ca is bonded in a 6-coordinate geometry to one H and six O atoms. The Ca–H bond length is 2.61 Å. There are a spread of Ca–O bond distances ranging from 2.25–2.52 Å. In the ninth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with three CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.54 Å. In the tenth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.26–2.50 Å. In the eleventh Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with two SiO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with three CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.32–2.53 Å. In the twelfth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with three CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.32–2.59 Å. There are twelve inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four CaO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–69°. There are a spread of Al–O bond distances ranging from 1.75–1.81 Å. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four CaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–70°. There are a spread of Al–O bond distances ranging from 1.75–1.81 Å. In the third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with three CaO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–67°. There are a spread of Al–O bond distances ranging from 1.73–1.81 Å. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with three CaO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–69°. There is two shorter (1.75 Å) and two longer (1.80 Å) Al–O bond length. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with three CaO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–67°. There is one shorter (1.76 Å) and three longer (1.77 Å) Al–O bond length. In the sixth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with three CaO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–73°. There are a spread of Al–O bond distances ranging from 1.74–1.80 Å. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with three CaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–65°. There are a spread of Al–O bond distances ranging from 1.74–1.81 Å. In the eighth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with three CaO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–74°. There are a spread of Al–O bond distances ranging from 1.74–1.80 Å. In the ninth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with three CaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–67°. There are a spread of Al–O bond distances ranging from 1.75–1.80 Å. In the tenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with three CaO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–72°. There are a spread of Al–O bond distances ranging from 1.74–1.81 Å. In the eleventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four CaO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 67–74°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the twelfth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four CaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–69°. There are a spread of Al–O bond distances ranging from 1.74–1.81 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 corners with four CaO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–65°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three CaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–71°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three CaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–68°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three CaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–70°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four CaO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–66°. There is one shorter (1.64 Å) and three longer (1.65 Å) Si–O bond length. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three CaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–68°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. There are four inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.97 Å. In the second H site, H is bonded in a single-bond geometry to one Ca and one O atom. The H–O bond length is 0.97 Å. In the third H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.97 Å. In the fourth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.97 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Al, and one Si atom. In the second O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Al, and one Si atom. In the third O site, O is bonded in a trigonal non-coplanar geometry to three Ca atoms. In the fourth O site, O is bonded in a trigonal non-coplanar geometry to three Ca atoms. In the fifth O site, O is bonded in a 3-coordinate geometry to one Ca, one Al, and one Si atom. In the sixth O site, O is bonded in a trigonal planar geometry to one Ca and two Al atoms. In the seventh O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Al, and one Si atom. In the eighth O site, O is bonded in a trigonal planar geometry to one Ca and two Al atoms. In the ninth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Al, and one Si atom. In the tenth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Al, and one Si atom. In the eleventh O site, O is bonded in a distorted single-bond geometry to three Ca and one H atom. In the twelfth O site, O is bonded in a trigonal planar geometry to one Ca and two Al atoms. In the thirteenth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Al, and one Si atom. In the fourteenth O site, O is bonded in a distorted single-bond geometry to three Ca and one H atom. In the fifteenth O site, O is bonded in a trigonal non-coplanar geometry to three Ca atoms. In the sixteenth O site, O is bonded in a trigonal non-coplanar geometry to three Ca atoms. In the seventeenth O site, O is bonded in a trigonal planar geometry to one Ca and two Al atoms. In the eighteenth O site, O is bonded in a 3-coordinate geometry to one Ca, one Al, and one Si atom. In the nineteenth O site, O is bonded in a 3-coordinate geometry to one Ca and two Si atoms. In the twentieth O site, O is bonded in a trigonal planar geometry to one Ca and two Al atoms. In the twenty-first O site, O is bonded in a trigonal planar geometry to one Ca and two Al atoms. In the twenty-second O site, O is bonded in a trigonal planar geometry to one Ca and two Al atoms. In the twenty-third O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Al, and one Si atom. In the twenty-fourth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Al, and one Si atom. In the twenty-fifth O site, O is bonded in a distorted single-bo

36 MATERIALS SCIENCE↗

Materials Data on Li3Bi(PO4)2 by Materials Project

Li3Bi(PO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one BiO12 cuboctahedra, a cornercorner with one BiO6 octahedra, corners with two LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.91–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one BiO12 cuboctahedra, a cornercorner with one BiO6 octahedra, corners with two LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.91–2.09 Å. In the third Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.57 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one BiO12 cuboctahedra, a cornercorner with one BiO6 octahedra, corners with two LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.91–2.09 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one BiO12 cuboctahedra, a cornercorner with one BiO6 octahedra, corners with two LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.91–2.08 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one BiO12 cuboctahedra, a cornercorner with one BiO6 octahedra, corners with two LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.91–2.08 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to six O2- atoms. There are three shorter (1.96 Å) and three longer (2.57 Å) Li–O bond lengths. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one BiO12 cuboctahedra, a cornercorner with one BiO6 octahedra, corners with two LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.91–2.09 Å. In the ninth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are four shorter (2.31 Å) and two longer (2.32 Å) Li–O bond lengths. There are three inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to twelve O2- atoms to form BiO12 cuboctahedra that share corners with six BiO6 octahedra, corners with six LiO4 tetrahedra, and edges with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 41°. There are a spread of Bi–O bond distances ranging from 2.62–2.84 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three equivalent BiO12 cuboctahedra, corners with three LiO4 tetrahedra, and corners with six PO4 tetrahedra. There are three shorter (2.34 Å) and three longer (2.44 Å) Bi–O bond lengths. In the third Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three equivalent BiO12 cuboctahedra, corners with three LiO4 tetrahedra, and corners with six PO4 tetrahedra. There are three shorter (2.34 Å) and three longer (2.44 Å) Bi–O bond lengths. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra, corners with four LiO4 tetrahedra, and an edgeedge with one BiO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 55–61°. There is three shorter (1.55 Å) and one longer (1.58 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra, corners with four LiO4 tetrahedra, and an edgeedge with one BiO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 56–61°. There is three shorter (1.55 Å) and one longer (1.58 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra, corners with four LiO4 tetrahedra, and an edgeedge with one BiO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 55–61°. There is three shorter (1.55 Å) and one longer (1.58 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra, corners with four LiO4 tetrahedra, and an edgeedge with one BiO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 56–61°. There is three shorter (1.55 Å) and one longer (1.58 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra, corners with four LiO4 tetrahedra, and an edgeedge with one BiO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 56–61°. There is three shorter (1.55 Å) and one longer (1.58 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra, corners with four LiO4 tetrahedra, and an edgeedge with one BiO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 56–61°. There is three shorter (1.55 Å) and one longer (1.58 Å) P–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the second O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the sixth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CaTi2(HO3)2 by Materials Project

CaTi2O4(OH)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with four TiO6 octahedra and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–67°. There are a spread of Ca–O bond distances ranging from 2.28–2.49 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with four TiO6 octahedra and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–66°. There are a spread of Ca–O bond distances ranging from 2.28–2.50 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with four TiO6 octahedra and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–66°. There are a spread of Ca–O bond distances ranging from 2.27–2.49 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four TiO6 octahedra and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–66°. There are a spread of Ca–O bond distances ranging from 2.27–2.48 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.87 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.87 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.88 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.87 Å. There are sixteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with two TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–37°. There are a spread of Ti–O bond distances ranging from 1.83–2.24 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with two TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–38°. There are a spread of Ti–O bond distances ranging from 1.83–2.25 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with two TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–37°. There are a spread of Ti–O bond distances ranging from 1.83–2.26 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with two TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–37°. There are a spread of Ti–O bond distances ranging from 1.83–2.24 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–O bond distances ranging from 1.76–2.25 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.76–2.25 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–O bond distances ranging from 1.76–2.23 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–O bond distances ranging from 1.76–2.25 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two equivalent CaO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–64°. There are a spread of Ti–O bond distances ranging from 1.80–2.23 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two equivalent CaO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–64°. There are a spread of Ti–O bond distances ranging from 1.80–2.24 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two equivalent CaO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–64°. There are a spread of Ti–O bond distances ranging from 1.80–2.23 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two equivalent CaO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–65°. There are a spread of Ti–O bond distances ranging from 1.80–2.24 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with two TiO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–67°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with two TiO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–66°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with two TiO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–66°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with two TiO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–66°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. There are sixteen inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.65 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.02 Å) and one longer (1.64 Å) H–O bond length. In the third H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.66 Å) H–O bond length. In the fourth H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.65 Å) H–O bond length. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.74 Å) H–O bond length. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.73 Å) H–O bond length. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.75 Å) H–O bond length. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.74 Å) H–O bond length. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.74 Å) H–O bond length. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.72 Å) H–O bond length. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.71 Å) H–O bond length. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the fifteenth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.72 Å) H–O bond length. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to one Ca2+ and three Ti4+ atoms to form distorted OCaTi3 trigonal pyramids that share a cornercorner with one OCa2TiH tetrahedra, corners with two equivalent OCaTi3 trigonal pyramids, and an edgeedge with one OCaTi3 trigonal pyramid. In the second O2- site, O2- is bonded to one Ca2+ and three Ti4+ atoms to form distorted OCaTi3 trigonal pyramids that share a cornercorner with one OCa2TiH tetrahedra, corners with two equivalent OCaTi3 trigonal pyramids, and an edgeedge with one OCaTi3 trigonal pyramid. In the third O2- site, O2- is bonded to one Ca2+ and three Ti4+ atoms to form distorted OCaTi3 trigonal pyramids that share a cornercorner with one OCa2TiH tetrahedra, corners with two equivalent OCaTi3 trigonal pyramids, and an edgeedge with one OCaTi3 trigonal pyramid. In the fourth O2- site, O2- is bonded to one Ca2+ and three Ti4+ atoms to form distorted OCaTi3 trigonal pyramids that share a cornercorner with one OCa2TiH tetrahedra, corners with two equivalent OCaTi3 trigonal pyramids, and an edgeedge with one OCaTi3 trigonal pyramid. In the fifth O2- site, O2- is bonded to one Ca2+ and three Ti4+ atoms to form distorted OCaTi3 trigonal pyramids that share corners with three OCaTi2H tetrahedra and corners with two equivalent OCaTi3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Ca2+ and three Ti4+ atoms to form distorted OCaTi3 trigonal pyramids that share corners with four OCaTi2H tetrahedra and corners with two equivalent OCaTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Ca2+ and three Ti4+ atoms to form distorted OCaTi3 trigonal pyramids that share corners with three OCaTi2H tetrahedra and corners with two equivalent OCaTi3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Ca2+ and three Ti4+ atoms to form distorted OCaTi3 trigonal pyramids that share corners with four OCaTi2H tetrahedra and corners with two equivalent OCaTi3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and three Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and three Ti4+ at

36 MATERIALS SCIENCE↗

Materials Data on Li4V3Co(PO4)4 by Materials Project

Li4V3Co(PO4)4 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four VO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–66°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent CoO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two VO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–66°. There are a spread of Li–O bond distances ranging from 2.11–2.21 Å. There are three inequivalent V2+ sites. In the first V2+ site, V2+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of V–O bond distances ranging from 2.15–2.20 Å. In the second V2+ site, V2+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of V–O bond distances ranging from 2.15–2.21 Å. In the third V2+ site, V2+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of V–O bond distances ranging from 2.15–2.21 Å. Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Co–O bond distances ranging from 2.12–2.21 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two VO6 octahedra, corners with two equivalent CoO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V2+, one Co2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V2+, one Co2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2Ti3FeO8 by Materials Project

Li2Ti3FeO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 2.01–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 2.01–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 2.01–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 2.01–2.04 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are one shorter (2.01 Å) and three longer (2.03 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are one shorter (2.01 Å) and three longer (2.03 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 2.01–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 2.01–2.04 Å. There are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.00 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.06 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.06 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.00 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There is two shorter (1.97 Å) and four longer (1.99 Å) Ti–O bond length. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.07 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.13–2.18 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.14–2.18 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.13–2.17 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.13–2.18 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Fe trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Fe trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with nine OLiTi3 trigonal pyramids and edges with two OLiTi2Fe trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Fe trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Fe trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form distorted OLiTi2Fe trigonal pyramids that share corners with nine OLiTi2Fe trigonal pyramids and edges with two OLiTi3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form distorted OLiTi2Fe trigonal pyramids that share corners with ten OLiTi2Fe trigonal pyramids and edges with two OLiTi3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Fe trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Fe2+ atom. In the eleventh O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form distorted OLiTi2Fe trigonal pyramids that share corners with seven OLiTi2Fe trigonal pyramids and an edgeedge with one OLiTi3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Fe2+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form distorted OLiTi2Fe trigonal pyramids that share corners with ten OLiTi2Fe trigonal pyramids and edges with two OLiTi3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Fe2+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Fe2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Fe2+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with seven OLiTi3 trigonal pyramids and edges with two OLiTi2Fe trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form distorted OLiTi2Fe trigonal pyramids that share corners with seven OLiTi3 trigonal pyramids and edges with two OLiTi2Fe trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form distorted OLiTi2Fe trigonal pyramids that share corners with seven OLiTi2Fe trigonal pyramids and edges with two OLiTi3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Fe2+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Fe2+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Fe2+ atom. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Fe trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with nine OLiTi3 trigonal pyramids and an edgeedge with one OLiTi2Fe trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Fe2+ atom. In the twenty-ninth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form distorted OLiTi2Fe trigonal pyramids that share corners with seven OLiTi2Fe trigonal pyramids and an edgeedge with one OLiTi3 trigonal pyramid. In the thirtieth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to

36 MATERIALS SCIENCE↗

Materials Data on La12Ga23MoO56 by Materials Project

La12MoGa23O56 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent La sites. In the first La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.36–2.92 Å. In the second La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.94 Å. In the third La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.90 Å. In the fourth La site, La is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.40–2.95 Å. In the fifth La site, La is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.95 Å. In the sixth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.92 Å. In the seventh La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.93 Å. In the eighth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.90 Å. In the ninth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.95 Å. In the tenth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.41–2.94 Å. In the eleventh La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.90 Å. In the twelfth La site, La is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.97 Å. Mo is bonded to six O atoms to form MoO6 octahedra that share corners with six GaO4 tetrahedra. There is three shorter (1.95 Å) and three longer (1.96 Å) Mo–O bond length. There are twenty-three inequivalent Ga sites. In the first Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the second Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the third Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the fourth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.87 Å. In the fifth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the sixth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the seventh Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There is one shorter (1.82 Å) and three longer (1.87 Å) Ga–O bond length. In the eighth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the ninth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one MoO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the tenth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There is two shorter (1.86 Å) and two longer (1.91 Å) Ga–O bond length. In the eleventh Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one MoO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.93 Å. In the twelfth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the thirteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the fourteenth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share a cornercorner with one MoO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the fifteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the sixteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one MoO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the seventeenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Ga–O bond distances ranging from 1.86–1.91 Å. In the eighteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with two GaO6 octahedra and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the nineteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one MoO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the twentieth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share a cornercorner with one MoO6 octahedra, a cornercorner with one GaO6 octahedra, and corners with two GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.93 Å. In the twenty-first Ga site, Ga is bonded to six O atoms to form corner-sharing GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 2.02–2.06 Å. In the twenty-second Ga site, Ga is bonded to six O atoms to form corner-sharing GaO6 octahedra. There are five shorter (2.03 Å) and one longer (2.04 Å) Ga–O bond lengths. In the twenty-third Ga site, Ga is bonded to six O atoms to form corner-sharing GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 2.02–2.05 Å. There are fifty-six inequivalent O sites. In the first O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the second O site, O is bonded to three La and one Ga atom to form corner-sharing OLa3Ga tetrahedra. In the third O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the fourth O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the fifth O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the sixth O site, O is bonded to three La and one Ga atom to form corner-sharing OLa3Ga tetrahedra. In the seventh O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the eighth O site, O is bonded to three La and one Ga atom to form distorted corner-sharing OLa3Ga tetrahedra. In the ninth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the tenth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the eleventh O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the twelfth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the thirteenth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the fourteenth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the fifteenth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the sixteenth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the seventeenth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the eighteenth O site, O is bonded in a 2-coordinate geometry to two La and two Ga atoms. In the nineteenth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the twentieth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the twenty-first O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the twenty-second O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the twenty-third O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the twenty-fourth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the twenty-fifth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the twenty-sixth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the twenty-seventh O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the twenty-eighth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the twenty-ninth O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the thirtieth O site, O is bonded in a 3-coordinate geometry to two La and two Ga atoms. In the thirty-first O site, O is bonded in a 2-coordinate geometry to two La and two Ga atoms. In the thirty-second O site, O is bonded in a 4-coordinate geometry to two La and two Ga atoms. In the thirty-third O site, O is bonded in a distorted trigonal planar geometry to one La, one Mo, and one Ga atom. In the thirty-fourth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the thirty-fifth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the thirty-sixth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the thirty-seventh O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the thirty-eighth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the thirty-ninth O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the fortieth O site, O is bonded in a distorted trigonal planar geometry to one La, one Mo, and one Ga atom. In the forty-first O site, O is bonded in a 3-coordinate geometry to one La and two Ga atoms. In the forty-second O site, O is bonded in a distorted trigonal planar geometry to one La, one Mo, and one Ga atom. In the forty-third O site, O is bonded in a 3-coordinat

36 MATERIALS SCIENCE↗

Materials Data on Ca12FeCo7O24 by Materials Project

Ca12FeCo7O24 crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.59 Å. In the second Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.59 Å. In the third Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.57 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.61 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.35–2.60 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.59 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.58 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.61 Å. Fe3+ is bonded to six O2- atoms to form distorted FeO6 pentagonal pyramids that share faces with two equivalent CoO6 octahedra. There are four shorter (2.08 Å) and two longer (2.09 Å) Fe–O bond lengths. There are five inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share a faceface with one FeO6 pentagonal pyramid and a faceface with one CoO6 pentagonal pyramid. There is five shorter (1.94 Å) and one longer (1.95 Å) Co–O bond length. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form face-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.98–2.02 Å. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form distorted face-sharing CoO6 pentagonal pyramids. There are a spread of Co–O bond distances ranging from 2.07–2.09 Å. In the fourth Co3+ site, Co3+ is bonded to six O2- atoms to form distorted face-sharing CoO6 pentagonal pyramids. There are a spread of Co–O bond distances ranging from 2.06–2.08 Å. In the fifth Co3+ site, Co3+ is bonded to six O2- atoms to form distorted face-sharing CoO6 pentagonal pyramids. There are two shorter (2.07 Å) and four longer (2.09 Å) Co–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ca2+, one Fe3+, and one Co3+ atom to form distorted OCa4FeCo octahedra that share corners with fifteen OCa4FeCo octahedra, edges with four OCa4Co2 octahedra, and faces with five OCa4FeCo octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the second O2- site, O2- is bonded to four Ca2+ and two Co3+ atoms to form a mixture of distorted corner, edge, and face-sharing OCa4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the third O2- site, O2- is bonded to four Ca2+, one Fe3+, and one Co3+ atom to form distorted OCa4FeCo octahedra that share corners with fifteen OCa4FeCo octahedra, edges with four OCa4Co2 octahedra, and faces with five OCa4FeCo octahedra. The corner-sharing octahedra tilt angles range from 0–67°. In the fourth O2- site, O2- is bonded to four Ca2+ and two Co3+ atoms to form distorted OCa4Co2 octahedra that share corners with fifteen OCa4FeCo octahedra, edges with four OCa4Co2 octahedra, and faces with five OCa4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the fifth O2- site, O2- is bonded to four Ca2+, one Fe3+, and one Co3+ atom to form a mixture of distorted corner, edge, and face-sharing OCa4FeCo octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the sixth O2- site, O2- is bonded to four Ca2+ and two Co3+ atoms to form distorted OCa4Co2 octahedra that share corners with fifteen OCa4FeCo octahedra, edges with four OCa4Co2 octahedra, and faces with five OCa4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the seventh O2- site, O2- is bonded to four Ca2+ and two Co3+ atoms to form distorted OCa4Co2 octahedra that share corners with fifteen OCa4FeCo octahedra, edges with four OCa4Co2 octahedra, and faces with five OCa4FeCo octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the eighth O2- site, O2- is bonded to four Ca2+ and two Co3+ atoms to form distorted OCa4Co2 octahedra that share corners with fifteen OCa4FeCo octahedra, edges with four OCa4FeCo octahedra, and faces with five OCa4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the ninth O2- site, O2- is bonded to four Ca2+ and two Co3+ atoms to form distorted OCa4Co2 octahedra that share corners with fifteen OCa4FeCo octahedra, edges with four OCa4FeCo octahedra, and faces with five OCa4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the tenth O2- site, O2- is bonded to four Ca2+ and two Co3+ atoms to form distorted OCa4Co2 octahedra that share corners with fifteen OCa4FeCo octahedra, edges with four OCa4Co2 octahedra, and faces with five OCa4FeCo octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the eleventh O2- site, O2- is bonded to four Ca2+ and two Co3+ atoms to form distorted OCa4Co2 octahedra that share corners with fifteen OCa4FeCo octahedra, edges with four OCa4Co2 octahedra, and faces with five OCa4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the twelfth O2- site, O2- is bonded to four Ca2+ and two Co3+ atoms to form distorted OCa4Co2 octahedra that share corners with fifteen OCa4Co2 octahedra, edges with four OCa4Co2 octahedra, and faces with five OCa4FeCo octahedra. The corner-sharing octahedra tilt angles range from 0–67°.

36 MATERIALS SCIENCE↗

Materials Data on Li12Cr3CoP4(CO7)4 by Materials Project

Li12Cr3CoP4(CO7)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.25 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.21 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two CrO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 66–88°. There are a spread of Li–O bond distances ranging from 2.08–2.42 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one CrO6 octahedra, a cornercorner with one CoO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 64–89°. There are a spread of Li–O bond distances ranging from 2.10–2.42 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two CrO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 66–89°. There are a spread of Li–O bond distances ranging from 2.08–2.44 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one CrO6 octahedra, a cornercorner with one CoO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 66–87°. There are a spread of Li–O bond distances ranging from 2.08–2.38 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.22 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.22 Å. There are three inequivalent Cr2+ sites. In the first Cr2+ site, Cr2+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with four PO4 tetrahedra, corners with four LiO5 trigonal bipyramids, and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 2.05–2.45 Å. In the second Cr2+ site, Cr2+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with four PO4 tetrahedra, corners with four LiO5 trigonal bipyramids, and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 2.04–2.45 Å. In the third Cr2+ site, Cr2+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with four PO4 tetrahedra, corners with four LiO5 trigonal bipyramids, and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 2.05–2.46 Å. Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four PO4 tetrahedra, corners with four LiO5 trigonal bipyramids, and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Co–O bond distances ranging from 2.04–2.31 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three CrO6 octahedra, and corners with six LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–66°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three CrO6 octahedra, and corners with six LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 45–63°. There is one shorter (1.54 Å) and three longer (1.56 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO6 octahedra and corners with six LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–66°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CrO6 octahedra, corners with two equivalent CoO6 octahedra, and corners with six LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 46–66°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Cr2+, and one C4+ atom. In the second O2- site, O2- is bonded to three Li1+ and one C4+ atom to form edge-sharing OLi3C tetrahedra. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Cr2+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Li1+, one Cr2+, and one C4+ atom. In the fifth O2- site, O2- is bonded to three Li1+ and one C4+ atom to form distorted edge-sharing OLi3C tetrahedra. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Li1+, one Cr2+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cr2+, and one P5+ atom. In the tenth O2- site, O2- is bonded to two equivalent Li1+, one Cr2+, and one P5+ atom to form distorted edge-sharing OLi2CrP tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cr2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded to two equivalent Li1+, one Co2+, and one P5+ atom to form distorted edge-sharing OLi2CoP tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent Li1+, one Cr2+, and one P5+ atom to form distorted edge-sharing OLi2CrP tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded to two equivalent Li1+, one Cr2+, and one P5+ atom to form distorted edge-sharing OLi2CrP tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cr2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Li1+, one Cr2+, and one C4+ atom. In the twentieth O2- site, O2- is bonded to three Li1+ and one C4+ atom to form edge-sharing OLi3C tetrahedra. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Li1+, one Co2+, and one C4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Cr2+, and one C4+ atom. In the twenty-third O2- site, O2- is bonded to three Li1+ and one C4+ atom to form edge-sharing OLi3C tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Co2+, and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba6Ca12Cu15Hg3O37 by Materials Project

Ba6Ca12Cu15Hg3O37 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.65–2.95 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–2.83 Å. In the third Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–2.83 Å. There are six inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.42–2.57 Å. In the second Ca2+ site, Ca2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.42–2.55 Å. In the third Ca2+ site, Ca2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.42–2.55 Å. In the fourth Ca2+ site, Ca2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.49–2.53 Å. In the fifth Ca2+ site, Ca2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.49 Å) and four longer (2.52 Å) Ca–O bond lengths. In the sixth Ca2+ site, Ca2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.49 Å) and four longer (2.52 Å) Ca–O bond lengths. There are eight inequivalent Cu+2.13+ sites. In the first Cu+2.13+ site, Cu+2.13+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. All Cu–O bond lengths are 1.93 Å. In the second Cu+2.13+ site, Cu+2.13+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There is two shorter (1.92 Å) and two longer (1.93 Å) Cu–O bond length. In the third Cu+2.13+ site, Cu+2.13+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. All Cu–O bond lengths are 1.93 Å. In the fourth Cu+2.13+ site, Cu+2.13+ is bonded in a rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.79 Å. In the fifth Cu+2.13+ site, Cu+2.13+ is bonded in a distorted square co-planar geometry to five O2- atoms. There are four shorter (1.93 Å) and one longer (2.76 Å) Cu–O bond lengths. In the sixth Cu+2.13+ site, Cu+2.13+ is bonded in a rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.79 Å. In the seventh Cu+2.13+ site, Cu+2.13+ is bonded in a square co-planar geometry to four O2- atoms. All Cu–O bond lengths are 1.93 Å. In the eighth Cu+2.13+ site, Cu+2.13+ is bonded in a square co-planar geometry to four equivalent O2- atoms. All Cu–O bond lengths are 1.93 Å. There are two inequivalent Hg2+ sites. In the first Hg2+ site, Hg2+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (2.06 Å) and two longer (2.73 Å) Hg–O bond lengths. In the second Hg2+ site, Hg2+ is bonded in a T-shaped geometry to three O2- atoms. There are a spread of Hg–O bond distances ranging from 2.04–2.64 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Cu+2.13+, and one Hg2+ atom. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Cu+2.13+, and one Hg2+ atom. In the third O2- site, O2- is bonded to four Ca2+ and two Cu+2.13+ atoms to form distorted OCa4Cu2 octahedra that share corners with ten OBa2Ca2Cu2 octahedra, edges with three OCa4Cu2 octahedra, and faces with four OCa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–66°. In the fourth O2- site, O2- is bonded to four Ca2+ and two Cu+2.13+ atoms to form distorted OCa4Cu2 octahedra that share corners with ten OBa2Ca2Cu2 octahedra, edges with three OCa4Cu2 octahedra, and faces with four OCa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–66°. In the fifth O2- site, O2- is bonded to four Ca2+ and two Cu+2.13+ atoms to form distorted OCa4Cu2 octahedra that share corners with ten OBa2Ca2Cu2 octahedra, edges with four OBa2Ca2Cu2 octahedra, and faces with four OCa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–66°. In the sixth O2- site, O2- is bonded to four Ca2+ and two equivalent Cu+2.13+ atoms to form a mixture of corner, edge, and face-sharing OCa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the seventh O2- site, O2- is bonded to four Ca2+ and two Cu+2.13+ atoms to form a mixture of corner, edge, and face-sharing OCa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to two Ba2+, two Ca2+, and two Cu+2.13+ atoms. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to two Ba2+, two Ca2+, and two Cu+2.13+ atoms. In the tenth O2- site, O2- is bonded to two Ba2+, two Ca2+, and two Cu+2.13+ atoms to form distorted OBa2Ca2Cu2 octahedra that share corners with six OCa4Cu2 octahedra, an edgeedge with one OCa4Cu2 octahedra, and faces with two equivalent OBa2Ca2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 3–66°. In the eleventh O2- site, O2- is bonded to two equivalent Ba2+ and four Hg2+ atoms to form corner-sharing OBa2Hg4 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on Ba10Gd2Y3(Cu3O7)5 by Materials Project

Ba10Gd2Y3(Cu3O7)5 crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. there are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.04 Å. In the second Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.04 Å. In the third Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.04 Å. Gd3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.42 Å) and four longer (2.44 Å) Gd–O bond lengths. There are two inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.40–2.43 Å. In the second Y3+ site, Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.41 Å) and four longer (2.43 Å) Y–O bond lengths. There are six inequivalent Cu+2.33+ sites. In the first Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.25 Å. In the second Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.96–2.25 Å. In the third Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.96–2.25 Å. In the fourth Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.89 Å) and two longer (1.97 Å) Cu–O bond length. In the fifth Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.89 Å) and two longer (1.97 Å) Cu–O bond length. In the sixth Cu+2.33+ site, Cu+2.33+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There is two shorter (1.89 Å) and two longer (1.97 Å) Cu–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, corner, and face-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the second O2- site, O2- is bonded to four Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, corner, and face-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the third O2- site, O2- is bonded to four Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, corner, and face-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Gd3+, and two equivalent Cu+2.33+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, two Y3+, and two Cu+2.33+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Gd3+, one Y3+, and two Cu+2.33+ atoms. In the seventh O2- site, O2- is bonded to four equivalent Ba2+ and two equivalent Cu+2.33+ atoms to form a mixture of distorted edge, corner, and face-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the eighth O2- site, O2- is bonded to four Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, corner, and face-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the ninth O2- site, O2- is bonded to four Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, corner, and face-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Gd3+, and two equivalent Cu+2.33+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Gd3+, one Y3+, and two Cu+2.33+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, two Y3+, and two Cu+2.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Sn(BO5)2 by Materials Project

Mg5SnB2O10 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, edges with two equivalent SnO6 octahedra, and edges with five MgO6 octahedra. The corner-sharing octahedra tilt angles range from 13–66°. There are a spread of Mg–O bond distances ranging from 2.03–2.22 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, edges with two equivalent SnO6 octahedra, and edges with five MgO6 octahedra. The corner-sharing octahedra tilt angles range from 13–66°. There are a spread of Mg–O bond distances ranging from 2.04–2.21 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two MgO6 octahedra, edges with two equivalent SnO6 octahedra, and edges with four MgO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mg–O bond distances ranging from 2.04–2.23 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two MgO6 octahedra, edges with two equivalent SnO6 octahedra, and edges with four MgO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mg–O bond distances ranging from 2.03–2.22 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with two MgO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with five MgO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Mg–O bond distances ranging from 1.98–2.24 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with two MgO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with five MgO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Mg–O bond distances ranging from 1.98–2.20 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with two MgO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with five MgO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Mg–O bond distances ranging from 1.98–2.20 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with two MgO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with five MgO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Mg–O bond distances ranging from 1.98–2.25 Å. In the ninth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent SnO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Mg–O bond distances ranging from 2.11–2.21 Å. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent SnO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Mg–O bond distances ranging from 2.11–2.20 Å. There are four inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.40 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.42 Å) B–O bond length. There are two inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with four MgO6 octahedra and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 19–62°. There are a spread of Sn–O bond distances ranging from 2.03–2.18 Å. In the second Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with four MgO6 octahedra and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 19–63°. There are a spread of Sn–O bond distances ranging from 2.03–2.16 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mg2+, one B3+, and one Sn4+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+, one B3+, and one Sn4+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one B3+, and one Sn4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mg2+, one B3+, and one Sn4+ atom. In the thirteenth O2- site, O2- is bonded to three Mg2+ and one Sn4+ atom to form distorted OMg3Sn tetrahedra that share corners with three OMg4Sn square pyramids, corners with three equivalent OMg3Sn tetrahedra, and an edgeedge with one OMg4Sn square pyramid. In the fourteenth O2- site, O2- is bonded to three Mg2+ and one Sn4+ atom to form distorted OMg3Sn tetrahedra that share corners with three OMg4Sn square pyramids, corners with three equivalent OMg3Sn tetrahedra, and an edgeedge with one OMg4Sn square pyramid. In the fifteenth O2- site, O2- is bonded to four Mg2+ and one Sn4+ atom to form OMg4Sn square pyramids that share corners with two equivalent OMg4Sn square pyramids, corners with three OMg3Sn tetrahedra, edges with three OMg4Sn square pyramids, and an edgeedge with one OMg3Sn tetrahedra. In the sixteenth O2- site, O2- is bonded to four Mg2+ and one Sn4+ atom to form OMg4Sn square pyramids that share corners with two equivalent OMg4Sn square pyramids, corners with three OMg3Sn tetrahedra, edges with three OMg4Sn square pyramids, and an edgeedge with one OMg3Sn tetrahedra. In the seventeenth O2- site, O2- is bonded to three Mg2+ and one Sn4+ atom to form distorted OMg3Sn tetrahedra that share corners with three OMg4Sn square pyramids, corners with three equivalent OMg3Sn tetrahedra, and an edgeedge with one OMg4Sn square pyramid. In the eighteenth O2- site, O2- is bonded to three Mg2+ and one Sn4+ atom to form distorted OMg3Sn tetrahedra that share corners with three OMg4Sn square pyramids, corners with three equivalent OMg3Sn tetrahedra, and an edgeedge with one OMg4Sn square pyramid. In the nineteenth O2- site, O2- is bonded to four Mg2+ and one Sn4+ atom to form OMg4Sn square pyramids that share corners with two equivalent OMg4Sn square pyramids, corners with three OMg3Sn tetrahedra, edges with three OMg4Sn square pyramids, and an edgeedge with one OMg3Sn tetrahedra. In the twentieth O2- site, O2- is bonded to four Mg2+ and one Sn4+ atom to form OMg4Sn square pyramids that share corners with two equivalent OMg4Sn square pyramids, corners with three OMg3Sn tetrahedra, edges with three OMg4Sn square pyramids, and an edgeedge with one OMg3Sn tetrahedra.

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