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At least 379 records · Page 21

Community Geothermal: Final Thermal Conductivity Test Report and Data Logs - Carbondale, CO

Provided here are a final thermal conductivity test report, a drilling log, and a heat rejection log from Carbondale, CO. Also attached is a report made before drilling, which contains predictions on the hydrogeologic conditions of the drill site. The forty-eight (48.9) hour in-situ thermal conductivity test was performed on the 28th through the 30th, of November 2023. The test was performed at the borehole drilled on November 16th through the 20th, at the 3rd Street Center at 520 S. 3rd, Street in Carbondale, Colorado. Testing was done with a certified Ewbank portable test unit.

15 GEOTHERMAL ENERGY↗

Data and scripts associated with a manuscript investigating impacts of solid phase extraction on freshwater organic matter optical signatures and mass spectrometry pairing

This data package is associated with the publication “Investigating the impacts of solid phase extraction on dissolved organic matter optical signatures and the pairing with high-resolution mass spectrometry data in a freshwater system” submitted to “Limnology and Oceanography: Methods.” This data is an extension of the River Corridor and Watershed Biogeochemistry SFA’s Spatial Study 2021 (https://doi.org/10.15485/1898914). Other associated data and field metadata can be found at the link provided. The goal of this manuscript is to assess the impact of solid phase extraction (SPE) on the ability to pair ultra-high resolution mass spectrometry data collected from SPE extracts with optical properties collected on ambient stream samples. Forty-seven samples collected from within the Yakima River Basin, Washington were analyzed dissolved organic carbon (DOC, measured as non-purgeable organic carbon, NPOC), absorbance, and fluorescence. Samples were subsequently concentrated with SPE and reanalyzed for each measurement. The extraction efficiency for the DOC and common optical indices were calculated. In addition, SPE samples were subject to ultra-high resolution mass spectrometry and compared with the ambient and SPE generated optical data. Finally, in addition to this cross-platform inter-comparison, we further performed and intra-comparison among the high-resolution mass spectrometry data to determine the impact of sample preparation on the interpretability of results. Here, the SPE samples were prepared at 40 milligrams per liter (mg/L) based on the known DOC extraction efficiency of the samples (ranging from ~30 to ~75%) compared to the common practice of assuming the DOC extraction efficiency of freshwater samples at 60%. This data package folder consists of one main data folder with one subfolder (Data_Input). The main data folder contains (1) readme; (2) data dictionary (dd); (3) file-level metadata (flmd); (4) final data summary output from processing script; and (5) the processing script. The R-markdown processing script (SPE_Manuscript_Rmarkdown_Data_Package.rmd) contains all code needed to reproduce manuscript statistics and figures (with the exception of that stated below). The Data_Input folder has two subfolders: (1) FTICR and (2) Optics. Additionally, the Data_Input folder contains dissolved organic carbon (DOC, measured as non-purgeable organic carbon, NPOC) data (SPS_NPOC_Summary.csv) and relevant supporting Solid Phase Extraction Volume information (SPS_SPE_Volumes.csv). Methods information for the optical and FTICR data is embedded in the header rows of SPS_EEMs_Methods.csv and SPS_FTICR_Methods.csv, respectively. In addition, the data dictionary (SPS_SPE_dd.csv), file level metadata (SPS_SPE_flmd.csv), and methods codes (SPS_SPE_Methods_codes.csv) are provided. The FTICR subfolder contains all raw FTICR data as well as instructions for processing. In addition, post processed FTICR molecular information (Processed_FTICRMS_Mol.csv) and sample data (Processed_FTICRMS_Data.csv) is provided that can be directly read into R with the associated R-markdown file. The Optics subfolder contains all Absorbance and Fluorescence Spectra. Fluorescence spectra have been blank corrected, inner filter corrected, and undergone scatter removal. In addition, this folder contains Matlab code used to make a portion of Figure 1 within the manuscript, derive various spectral parameters used within the manuscript, and used for parallel factor analysis (PARAFAC) modeling. Spectral indices (SPS_SpectralIndices.csv) and PARAFAC outputs (SPS_PARAFAC_Model_Loadings.csv and SPS_PARAFAC_Sample_Scores.csv) are directly read into the associated R-markdown file. We acknowledge the Yakama Nation as owners and caretakers of the lands where we collected some of these data. We thank the Confederated Tribes and Bands of the Yakama Nation Tribal Council and Yakama Nation Fisheries for working with us to facilitate sample collection and optimization of data usage according to their values and worldview.

54 ENVIRONMENTAL SCIENCES↗

Materials Data on Tl(BH)6 by Materials Project

Tl(BH)6 crystallizes in the cubic Fm-3 space group. The structure is zero-dimensional and consists of forty-eight boranediylradical molecules and eight thallium molecules.

36 MATERIALS SCIENCE↗

Materials Data on B9H11C2 by Materials Project

B13C4H17(BH)5 crystallizes in the monoclinic C2/c space group. The structure is zero-dimensional and consists of forty boranediylradical molecules and eight B13C4H17 clusters. In each B13C4H17 cluster, there are thirteen inequivalent B+0.33- sites. In the first B+0.33- site, B+0.33- is bonded in a distorted single-bond geometry to one B+0.33- and one H1+ atom. The B–B bond length is 1.70 Å. The B–H bond length is 1.34 Å. In the second B+0.33- site, B+0.33- is bonded in a distorted bent 120 degrees geometry to one C4- and one H1+ atom. The B–C bond length is 1.52 Å. The B–H bond length is 1.19 Å. In the third B+0.33- site, B+0.33- is bonded in a 3-coordinate geometry to two C4- and one H1+ atom. There is one shorter (1.69 Å) and one longer (1.71 Å) B–C bond length. The B–H bond length is 1.19 Å. In the fourth B+0.33- site, B+0.33- is bonded in a distorted bent 120 degrees geometry to one C4- and one H1+ atom. The B–C bond length is 1.66 Å. The B–H bond length is 1.19 Å. In the fifth B+0.33- site, B+0.33- is bonded in a distorted bent 120 degrees geometry to one C4- and one H1+ atom. The B–C bond length is 1.70 Å. The B–H bond length is 1.19 Å. In the sixth B+0.33- site, B+0.33- is bonded in a single-bond geometry to one B+0.33- and one H1+ atom. The B–B bond length is 1.78 Å. The B–H bond length is 1.19 Å. In the seventh B+0.33- site, B+0.33- is bonded in a distorted bent 120 degrees geometry to one B+0.33-, one C4-, and one H1+ atom. The B–B bond length is 1.79 Å. The B–C bond length is 1.69 Å. The B–H bond length is 1.19 Å. In the eighth B+0.33- site, B+0.33- is bonded in a 3-coordinate geometry to two C4- and one H1+ atom. Both B–C bond lengths are 1.72 Å. The B–H bond length is 1.19 Å. In the ninth B+0.33- site, B+0.33- is bonded in a distorted bent 120 degrees geometry to one C4- and one H1+ atom. The B–C bond length is 1.70 Å. The B–H bond length is 1.19 Å. In the tenth B+0.33- site, B+0.33- is bonded in a distorted bent 120 degrees geometry to one B+0.33-, one C4-, and one H1+ atom. The B–B bond length is 1.79 Å. The B–C bond length is 1.69 Å. The B–H bond length is 1.19 Å. In the eleventh B+0.33- site, B+0.33- is bonded in a 6-coordinate geometry to four B+0.33- and two C4- atoms. Both B–C bond lengths are 1.73 Å. In the twelfth B+0.33- site, B+0.33- is bonded in a distorted trigonal non-coplanar geometry to three H1+ atoms. There is one shorter (1.19 Å) and two longer (1.33 Å) B–H bond length. In the thirteenth B+0.33- site, B+0.33- is bonded in a 3-coordinate geometry to one C4- and two H1+ atoms. The B–C bond length is 1.75 Å. There is one shorter (1.19 Å) and one longer (1.33 Å) B–H bond length. There are four inequivalent C4- sites. In the first C4- site, C4- is bonded in a 2-coordinate geometry to two B+0.33-, one C4-, and one H1+ atom. The C–C bond length is 1.46 Å. The C–H bond length is 1.09 Å. In the second C4- site, C4- is bonded in a 1-coordinate geometry to three B+0.33-, one C4-, and one H1+ atom. The C–H bond length is 1.09 Å. In the third C4- site, C4- is bonded in a 1-coordinate geometry to four B+0.33- and one H1+ atom. The C–H bond length is 1.09 Å. In the fourth C4- site, C4- is bonded in a 1-coordinate geometry to four B+0.33- and one H1+ atom. The C–H bond length is 1.09 Å. There are sixteen inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one B+0.33- atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one B+0.33- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one B+0.33- atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one C4- atom. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one C4- atom. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one B+0.33- atom. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one B+0.33- atom. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one B+0.33- atom. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one B+0.33- atom. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one B+0.33- atom. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one B+0.33- atom. In the twelfth H1+ site, H1+ is bonded in an L-shaped geometry to two B+0.33- atoms. In the thirteenth H1+ site, H1+ is bonded in an L-shaped geometry to two B+0.33- atoms. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one B+0.33- atom. In the fifteenth H1+ site, H1+ is bonded in a single-bond geometry to one C4- atom. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one C4- atom.

36 MATERIALS SCIENCE↗

Materials Data on C15S4 by Materials Project

(C)15(S)4 crystallizes in the monoclinic C2/c space group. The structure is zero-dimensional and consists of two hundred and forty medicinal charcoal molecules and eight octasulfur molecules.

36 MATERIALS SCIENCE↗

Materials Data on B6H10N by Materials Project

(BH)6NH4 crystallizes in the cubic Fm-3 space group. The structure is zero-dimensional and consists of eight ammonium molecules and forty-eight boranediylradical molecules.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ni3(PO4)4 by Materials Project

Li3Ni3(PO4)4 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 five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.93–2.16 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.93–2.14 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.89–2.15 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 NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.91–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.92–2.12 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 NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.91–2.20 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.90–2.17 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of Li–O bond distances ranging from 1.90–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of Li–O bond distances ranging from 1.92–2.22 Å. There are nine inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.03–2.12 Å. In the second Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.02–2.13 Å. In the third Ni3+ site, Ni3+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the fourth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one NiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Ni–O bond distances ranging from 2.03–2.19 Å. In the fifth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one NiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Ni–O bond distances ranging from 2.02–2.22 Å. In the sixth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.00–2.14 Å. In the seventh Ni3+ site, Ni3+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the eighth Ni3+ site, Ni3+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the ninth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one NiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Ni–O bond distances ranging from 2.02–2.22 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 corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–52°. There is one shorter (1.53 Å) and three longer (1.55 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 three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–51°. All P–O bond lengths are 1.55 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–53°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–53°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–54°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 36–51°. All P–O bond lengths are 1.55 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 34–54°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two NiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal p

36 MATERIALS SCIENCE↗

Materials Data on Dy2TiO5 by Materials Project

Dy2TiO5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with five TiO6 octahedra, a cornercorner with one DyO5 trigonal bipyramid, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Dy–O bond distances ranging from 2.22–2.38 Å. In the second Dy3+ site, Dy3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Dy–O bond distances ranging from 2.11–2.40 Å. In the third Dy3+ site, Dy3+ is bonded to five O2- atoms to form DyO5 trigonal bipyramids that share corners with three DyO6 octahedra, corners with four TiO6 octahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 49–65°. There are a spread of Dy–O bond distances ranging from 2.06–2.24 Å. In the fourth Dy3+ site, Dy3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Dy–O bond distances ranging from 2.22–2.37 Å. In the fifth Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.23–2.58 Å. In the sixth Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.17–2.91 Å. In the seventh Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.22–2.63 Å. In the eighth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two equivalent TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, corners with two equivalent DyO5 trigonal bipyramids, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Dy–O bond distances ranging from 2.17–2.40 Å. In the ninth Dy3+ site, Dy3+ is bonded to seven O2- atoms to form distorted DyO7 pentagonal bipyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, and edges with two TiO6 octahedra. The corner-sharing octahedral tilt angles are 72°. There are a spread of Dy–O bond distances ranging from 2.22–2.47 Å. In the tenth Dy3+ site, Dy3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Dy–O bond distances ranging from 2.14–2.52 Å. In the eleventh Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.18–2.73 Å. In the twelfth Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.25–2.73 Å. In the thirteenth Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.17–2.85 Å. In the fourteenth Dy3+ site, Dy3+ is bonded to seven O2- atoms to form distorted DyO7 pentagonal bipyramids that share corners with two TiO6 octahedra, a cornercorner with one DyO7 pentagonal bipyramid, and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Dy–O bond distances ranging from 2.24–2.50 Å. In the fifteenth Dy3+ site, Dy3+ is bonded to seven O2- atoms to form distorted DyO7 pentagonal bipyramids that share corners with two TiO6 octahedra, a cornercorner with one DyO7 pentagonal bipyramid, and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Dy–O bond distances ranging from 2.22–2.47 Å. In the sixteenth Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.23–2.70 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent DyO6 octahedra, corners with four TiO6 octahedra, a cornercorner with one DyO5 trigonal bipyramid, an edgeedge with one DyO6 octahedra, and an edgeedge with one DyO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 30–64°. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent DyO6 octahedra, corners with three TiO6 octahedra, a cornercorner with one DyO5 trigonal bipyramid, an edgeedge with one DyO6 octahedra, and an edgeedge with one DyO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 34–69°. There are a spread of Ti–O bond distances ranging from 1.85–2.32 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two equivalent DyO6 octahedra, corners with two equivalent DyO5 trigonal bipyramids, and an edgeedge with one DyO6 octahedra. The corner-sharing octahedra tilt angles range from 44–61°. There are a spread of Ti–O bond distances ranging from 1.90–2.16 Å. In the fourth Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one DyO6 octahedra, a cornercorner with one DyO7 pentagonal bipyramid, and a cornercorner with one DyO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ti–O bond distances ranging from 1.83–2.17 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with five TiO6 octahedra, corners with two DyO7 pentagonal bipyramids, and edges with two DyO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 25–60°. There are a spread of Ti–O bond distances ranging from 1.85–2.35 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five TiO6 octahedra, and edges with two equivalent DyO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 30–64°. There are a spread of Ti–O bond distances ranging from 1.88–2.17 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with five TiO6 octahedra, a cornercorner with one DyO7 pentagonal bipyramid, and edges with two equivalent DyO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Ti–O bond distances ranging from 1.88–2.25 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with five TiO6 octahedra, corners with two DyO7 pentagonal bipyramids, and edges with two DyO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 25–59°. There are a spread of Ti–O bond distances ranging from 1.83–2.34 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Ti4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Dy3+ and two Ti4+ atoms. In the third O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing ODy3Ti tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form a mixture of edge and corner-sharing ODy3Ti tetrahedra. In the sixth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form distorted ODy3Ti tetrahedra that share corners with eleven ODy3Ti tetrahedra and an edgeedge with one ODy4 tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Ti4+ atom. In the eighth O2- site, O2- is bonded to four Dy3+ atoms to form a mixture of edge and corner-sharing ODy4 tetrahedra. In the ninth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form distorted ODy3Ti tetrahedra that share corners with three ODy4 tetrahedra and edges with three ODy3Ti tetrahedra. In the tenth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form a mixture of edge and corner-sharing ODy3Ti tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and one Ti4+ atom. In the twelfth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form distorted ODy3Ti tetrahedra that share corners with ten ODy3Ti tetrahedra and an edgeedge with one ODy4 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Dy3+ and one Ti4+ atom. In the fourteenth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing ODy3Ti tetrahedra. In the fifteenth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing ODy3Ti tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Ti4+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Dy3+ and two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Dy3+ and one Ti4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Ti4+ atom. In the twenty-second O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form distorted ODy3Ti tetrahedra that share corners with eight ODy3Ti tetrahedra and edges with two ODy4 tetrahedra. In the twenty-third O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Dy3+ atoms. In the twenty-fourth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form ODy3Ti tetrahedra that share corners with three ODy3Ti tetrahedra and edges with three ODy4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to four Dy3+ atoms to form distorted ODy4 tetrahedra that share corners with seven ODy4 tetrahedra and an edgeedge with one ODy3Ti tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and two Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded to four Dy3+ atoms to form a mixture of distorted edge and corner-sharing ODy4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Dy3+ and two Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded to four Dy3+ atoms to form ODy4 tetrahedra that share corners with nine ODy3Ti tetrahedra and edges with two ODy4 tetrahedra. In the thirtieth O2- site, O2- is bonded to two Dy3+ and two Ti4+ atoms to form distorted ODy2Ti2 tetrahedra that share corners with three ODy3Ti tetrahedra and edges with two ODy4 tetrahedra. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Ti4+ atom. In the thirty-second O2- site, O2- is bonded to four Dy3+ atoms to form a mixture of distorted edge and corner-sharing ODy4 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Dy3+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Dy3+ and two Ti4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded to four Dy3+ atoms to form ODy4 tetrahedra that share corners with six ODy3Ti tetrahedra and edges with two ODy2Ti2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Tb2TiO5 by Materials Project

Tb2TiO5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Tb3+ sites. In the first Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.24–2.74 Å. In the second Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.14–2.54 Å. In the third Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.24–2.73 Å. In the fourth Tb3+ site, Tb3+ is bonded to six O2- atoms to form distorted TbO6 octahedra that share corners with four TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, and an edgeedge with one TbO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Tb–O bond distances ranging from 2.27–2.48 Å. In the fifth Tb3+ site, Tb3+ is bonded to six O2- atoms to form distorted TbO6 pentagonal pyramids that share a cornercorner with one TiO6 octahedra and edges with two TiO6 octahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of Tb–O bond distances ranging from 2.13–2.35 Å. In the sixth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.25–2.73 Å. In the seventh Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.29–2.74 Å. In the eighth Tb3+ site, Tb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.17–2.48 Å. In the ninth Tb3+ site, Tb3+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TiO5 trigonal bipyramids, corners with two equivalent TiO4 trigonal pyramids, an edgeedge with one TbO6 octahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one TiO5 trigonal bipyramid. There are a spread of Tb–O bond distances ranging from 2.32–2.47 Å. In the tenth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.25–2.64 Å. In the eleventh Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.21–2.66 Å. In the twelfth Tb3+ site, Tb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.16–2.63 Å. In the thirteenth Tb3+ site, Tb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.22–2.43 Å. In the fourteenth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.17–2.59 Å. In the fifteenth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.24–2.96 Å. In the sixteenth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.19–2.63 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to five O2- atoms to form TiO5 trigonal bipyramids that share a cornercorner with one TbO7 pentagonal bipyramid and a cornercorner with one TiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the second Ti4+ site, Ti4+ is bonded to four O2- atoms to form distorted TiO4 trigonal pyramids that share corners with two equivalent TbO7 pentagonal bipyramids and corners with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.77–1.91 Å. In the third Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.88–2.53 Å. In the fourth Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one TbO6 octahedra, corners with two TiO6 octahedra, a cornercorner with one TbO7 pentagonal bipyramid, a cornercorner with one TiO4 trigonal pyramid, and an edgeedge with one TbO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 33–76°. There are a spread of Ti–O bond distances ranging from 1.84–2.13 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TbO6 octahedra, corners with two equivalent TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, an edgeedge with one TbO7 pentagonal bipyramid, and an edgeedge with one TbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 24–63°. There are a spread of Ti–O bond distances ranging from 1.90–2.01 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TbO6 octahedra, corners with two equivalent TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, and an edgeedge with one TbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 24–63°. There are a spread of Ti–O bond distances ranging from 1.87–2.32 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TbO6 pentagonal pyramid. There are a spread of Ti–O bond distances ranging from 1.94–2.13 Å. In the eighth Ti4+ site, Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.87–2.22 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Tb3+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the third O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti trigonal pyramids that share corners with five OTb3Ti tetrahedra and an edgeedge with one OTb4 tetrahedra. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti tetrahedra that share corners with three OTb3Ti tetrahedra, corners with two equivalent OTb3Ti trigonal pyramids, and an edgeedge with one OTb4 tetrahedra. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Tb3+ and one Ti4+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the eleventh O2- site, O2- is bonded to four Tb3+ atoms to form distorted OTb4 tetrahedra that share corners with five OTb4 tetrahedra, edges with two OTb3Ti tetrahedra, and an edgeedge with one OTb3Ti trigonal pyramid. In the twelfth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti tetrahedra that share corners with six OTb4 tetrahedra, a cornercorner with one OTb3Ti trigonal pyramid, and an edgeedge with one OTb3Ti tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Tb3+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of corner and edge-sharing OTb4 tetrahedra. In the fifteenth O2- site, O2- is bonded to two Tb3+ and two Ti4+ atoms to form distorted OTb2Ti2 tetrahedra that share corners with three OTb3Ti tetrahedra and edges with two OTb2Ti2 tetrahedra. In the sixteenth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti tetrahedra that share corners with six OTb3Ti tetrahedra and edges with two OTb4 tetrahedra. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the nineteenth O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of corner and edge-sharing OTb4 tetrahedra. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to three Tb3+ and one Ti4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Tb3+ and one Ti4+ atom. In the twenty-fourth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form OTb3Ti tetrahedra that share corners with four OTb2Ti2 tetrahedra and edges with two OTb3Ti tetrahedra. In the twenty-fifth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti tetrahedra that share corners with six OTb2Ti2 tetrahedra and edges with two OTb4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Tb3+ and two Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Tb3+ and one Ti4+ atom. In the twenty-eighth O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of corner and edge-sharing OTb4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form OTb3Ti tetrahedra that share corners with two OTb3Ti tetrahedra and edges with two OTb4 tetrahedra. In the thirtieth O2- site, O2- is bonded to four Tb3+ atoms to form distorted OTb4 tetrahedra that share corners with eight OTb4 tetrahedra, a cornercorner with one OTb3Ti trigonal pyramid, and edges with two OTb4 tetrahedra. In the thirty-first O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of corner and edge-sharing OTb4 tetrahedra. In the thirty-second O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of distorted corner and edge-sharing OTb4 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Tb3+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded to two Tb3+ and two Ti4+ atoms to form distorted OTb2Ti2 tetrahedra that share corners with three OTb3Ti tetrahedra and edges with three OTb2Ti2 tetrahedra. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Tb3+ and one Ti4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Tb3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the thirty-ninth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form OTb3Ti tetrahedra that share corners with three OTb4 tetrahedra, a cornercorner with one OTb3Ti trigonal pyramid, and edges with two OTb4 tetrahedra. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Al34O56 by Materials Project

Mg5Al34O56 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–71°. There are a spread of Mg–O bond distances ranging from 1.86–2.02 Å. In the second Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Mg–O bond distances ranging from 1.87–1.98 Å. In the third Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Mg–O bond distances ranging from 1.93–1.96 Å. In the fourth Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Mg–O bond distances ranging from 1.92–2.01 Å. In the fifth Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Mg–O bond distances ranging from 1.89–2.27 Å. There are twenty-seven inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form corner-sharing AlO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Al–O bond distances ranging from 1.72–2.12 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra, corners with two equivalent AlO4 trigonal pyramids, and edges with three AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.12 Å. In the third Al site, Al is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Al–O bond distances ranging from 1.72–2.35 Å. In the fourth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of Al–O bond distances ranging from 1.78–1.86 Å. In the fifth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.03 Å. In the sixth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.14 Å. In the seventh Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Al–O bond distances ranging from 1.78–1.85 Å. In the eighth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.11 Å. In the ninth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–2.04 Å. In the tenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Al–O bond distances ranging from 1.75–1.93 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.00 Å. In the twelfth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.00 Å. In the thirteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.12 Å. In the fourteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is three shorter (1.81 Å) and one longer (1.87 Å) Al–O bond length. In the fifteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.07 Å. In the sixteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.07 Å. In the seventeenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.06 Å. In the eighteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Al–O bond distances ranging from 1.75–1.99 Å. In the nineteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.99 Å. In the twentieth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There is three shorter (1.93 Å) and three longer (1.94 Å) Al–O bond length. In the twenty-first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.99 Å. In the twenty-second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO4 trigonal pyramid, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.05 Å. In the twenty-third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO4 trigonal pyramid, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.04 Å. In the twenty-fourth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.02 Å. In the twenty-fifth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Al–O bond distances ranging from 1.83–1.90 Å. In the twenty-sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Al–O bond distances ranging from 1.80–1.89 Å. In the twenty-seventh Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Al–O bond distances ranging from 1.69–1.96 Å. There are forty-two inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the second O site, O is bonded to four Al atoms to form a mixture of distorted edge and corner-sharing OAl4 tetrahedra. In the third O site, O is bonded to four Al atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifth O site, O is bonded in a 3-coordinate geometry to three Al atoms. In the sixth O site, O is bonded in a trigonal non-coplanar geometry to three Al atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eighth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to four Al atoms. In the tenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the seventeenth O site, O is bonded in a trigonal planar geometry to one Mg and two equivalent Al atoms. In the eighteenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twentieth O site, O is bonded to one Mg and three Al atoms to form distorted OMgAl3 trigonal pyramids that share corners with two equivalent OAl4 tetrahedra, corners with two OMgAl3 trigonal pyramids, and edges with two OMgAl3 trigonal pyramids. In the twenty-first O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-third O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twenty-fourth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-fifth O site, O is bonded to one Mg and three Al atoms to form distorted OMgAl3 trigonal pyramids that share corners with two equivalent OAl4 tetrahedra, corners with two equivalent OMgAl3 trigonal pyramids, and edges with two equivalent OMgAl3 trigonal pyramids. In the twenty-sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-ninth O site, O is bonded to four Al atoms to form distorted corner-sharing OAl4 tetrahedra. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the thirty-first O site, O is bonded to one Mg and three Al atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the thirty-second O site, O is bonded to one Mg and three Al atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the thirty-third O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirty-fourth O site, O is bonded in a

36 MATERIALS SCIENCE↗

Materials Data on Tb6CdS10 by Materials Project

Tb6CdS10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Tb3+ sites. In the first Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.06 Å. In the second Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.15 Å. In the third Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.72–3.18 Å. In the fourth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.73–3.27 Å. In the fifth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.73–3.19 Å. In the sixth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Tb–S bond distances ranging from 2.69–3.25 Å. In the seventh Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.72–3.21 Å. In the eighth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.73–3.15 Å. In the ninth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.20 Å. In the tenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.75–3.05 Å. In the eleventh Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.73–3.22 Å. In the twelfth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.70–3.09 Å. In the thirteenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.10 Å. In the fourteenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.07 Å. In the fifteenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.75–3.08 Å. In the sixteenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.72–3.30 Å. In the seventeenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.72–3.19 Å. In the eighteenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.75–3.21 Å. In the nineteenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.70–3.19 Å. In the twentieth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.73–3.13 Å. In the twenty-first Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.72–3.12 Å. In the twenty-second Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.25 Å. In the twenty-third Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.20 Å. In the twenty-fourth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.75–3.14 Å. There are four inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Cd–S bond distances ranging from 2.67–3.22 Å. In the second Cd2+ site, Cd2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Cd–S bond distances ranging from 2.59–3.19 Å. In the third Cd2+ site, Cd2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Cd–S bond distances ranging from 2.65–3.20 Å. In the fourth Cd2+ site, Cd2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Cd–S bond distances ranging from 2.67–3.31 Å. There are forty inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the second S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the fourth S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the sixth S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the seventh S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the eighth S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the ninth S2- site, S2- is bonded in a 5-coordinate geometry to four Tb3+ and one Cd2+ atom. In the tenth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the eleventh S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the twelfth S2- site, S2- is bonded in a 5-coordinate geometry to four Tb3+ and one Cd2+ atom. In the thirteenth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the fourteenth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the fifteenth S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the sixteenth S2- site, S2- is bonded in a 6-coordinate geometry to six Tb3+ atoms. In the seventeenth S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the eighteenth S2- site, S2- is bonded in a distorted trigonal bipyramidal geometry to four Tb3+ and one Cd2+ atom. In the nineteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the twentieth S2- site, S2- is bonded in a 6-coordinate geometry to six Tb3+ atoms. In the twenty-first S2- site, S2- is bonded to five Tb3+ atoms to form distorted STb5 square pyramids that share corners with two equivalent STb5 trigonal bipyramids, an edgeedge with one STb5 trigonal bipyramid, and a faceface with one STb4Cd square pyramid. In the twenty-second S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the twenty-third S2- site, S2- is bonded to five Tb3+ atoms to form distorted STb5 square pyramids that share corners with five STb5 square pyramids, corners with three equivalent STb4Cd trigonal bipyramids, an edgeedge with one STb5 square pyramid, and faces with two STb5 square pyramids. In the twenty-fourth S2- site, S2- is bonded in a 5-coordinate geometry to four Tb3+ and one Cd2+ atom. In the twenty-fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the twenty-sixth S2- site, S2- is bonded to four Tb3+ and one Cd2+ atom to form a mixture of distorted face and edge-sharing STb4Cd square pyramids. In the twenty-seventh S2- site, S2- is bonded to five Tb3+ atoms to form distorted STb5 square pyramids that share corners with two equivalent STb5 square pyramids, a cornercorner with one STb4Cd trigonal bipyramid, edges with four STb5 square pyramids, an edgeedge with one STb4Cd trigonal bipyramid, and a faceface with one STb5 square pyramid. In the twenty-eighth S2- site, S2- is bonded in a 6-coordinate geometry to six Tb3+ atoms. In the twenty-ninth S2- site, S2- is bonded to five Tb3+ atoms to form a mixture of distorted face, edge, and corner-sharing STb5 square pyramids. In the thirtieth S2- site, S2- is bonded to five Tb3+ atoms to form a mixture of distorted edge and corner-sharing STb5 trigonal bipyramids. In the thirty-first S2- site, S2- is bonded in a 6-coordinate geometry to six Tb3+ atoms. In the thirty-second S2- site, S2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the thirty-third S2- site, S2- is bonded in a 6-coordinate geometry to six Tb3+ atoms. In the thirty-fourth S2- site, S2- is bonded to four Tb3+ and one Cd2+ atom to form a mixture of distorted edge and corner-sharing STb4Cd trigonal bipyramids. In the thirty-fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the thirty-sixth S2- site, S2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the thirty-seventh S2- site, S2- is bonded to five Tb3+ atoms to form distorted STb5 square pyramids that share corners with seven STb5 square pyramids, edges with two STb5 square pyramids, an edgeedge with one STb4Cd trigonal bipyramid, and a faceface with one STb5 square pyramid. In the thirty-eighth S2- site, S2- is bonded to five Tb3+ atoms to form a mixture of distorted face, edge, and corner-sharing STb5 square pyramids. In the thirty-ninth S2- site, S2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the fortieth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on MgSiO3 by Materials Project

MgSiO3 is Esseneite-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are eighteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.07 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.07 Å. In the third Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.44 Å. In the fourth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.08–2.62 Å. In the fifth Mg2+ site, Mg2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Mg–O bond distances ranging from 2.13–2.47 Å. In the sixth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.17–2.61 Å. In the seventh Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.19–2.48 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.06 Å. In the ninth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.22–2.46 Å. In the tenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.58 Å. In the eleventh Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.48 Å. In the twelfth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.11–2.63 Å. In the thirteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.13–2.54 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.04 Å. In the fifteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.17–2.50 Å. In the sixteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.12–2.60 Å. In the seventeenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.13–2.54 Å. In the eighteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.17–2.43 Å. There are eighteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO6 octahedra and corners with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the fifth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.78–1.82 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three SiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of Si–O bond distances ranging from 1.60–1.68 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the ninth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.81–1.83 Å. In the tenth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.77–1.84 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–41°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the fourteenth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.79–1.82 Å. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with two equivalent SiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. In the seventeenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four MgO6 octahedra. The corner-sharing octahedral tilt angles are 60°. All Si–O bond lengths are 1.65 Å. In the eighteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with two equivalent SiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the second O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the third O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Si4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the nineteenth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-second O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the twenty-third O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirtieth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirty-fourth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirty-sixth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramid

36 MATERIALS SCIENCE↗

Materials Data on MgAl2O4 by Materials Project

MgAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fourteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Mg–O bond distances ranging from 1.92–2.01 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.09 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.92–2.00 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.08 Å. In the fifth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.91–1.98 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Mg–O bond distances ranging from 1.97–2.00 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.08 Å. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Mg–O bond distances ranging from 1.93–1.98 Å. In the ninth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.93 Å) and one longer (1.98 Å) Mg–O bond length. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.09 Å. In the eleventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Mg–O bond distances ranging from 1.93–1.98 Å. In the twelfth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Mg–O bond distances ranging from 1.93–1.98 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Mg–O bond distances ranging from 1.94–2.01 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There is three shorter (1.95 Å) and one longer (2.04 Å) Mg–O bond length. There are twenty-one inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Al–O bond distances ranging from 1.82–1.89 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.03 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.01 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Al–O bond distances ranging from 1.83–1.89 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.06 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.01 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Al–O bond distances ranging from 1.82–1.88 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.07 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.02 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.08 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.98 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.97 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.97 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.98 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.97 Å. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.99 Å. In the seventeenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.96 Å. In the eighteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.90 Å) and three longer (1.97 Å) Al–O bond length. In the nineteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–2.01 Å. In the twentieth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.08 Å. In the twenty-first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Al–O bond distances ranging from 1.75–1.88 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the third O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Al3+ atoms to form distorted OAl4 trigonal pyramids that share corners with nine OMgAl3 trigonal pyramids, an edgeedge with one OMgAl3 tetrahedra, and edges with two equivalent OAl4 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form OMgAl3 tetrahedra that share corners with twelve OMgAl3 trigonal pyramids and edges with three OAl4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Al3+ atoms to form distorted OAl4 trigonal pyramids that share corners with nine OMgAl3 trigonal pyramids, an edgeedge with one OMgAl3 tetrahedra, and edges with two OAl4 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the eighth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three equivalent OMgAl3 tetrahedra, corners with seven OAl4 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In t

36 MATERIALS SCIENCE↗

Materials Data on Sr17(Ta5S21)2 by Materials Project

Sr17Ta10S42 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Sr–S bond distances ranging from 3.01–3.17 Å. In the second Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Sr–S bond distances ranging from 3.01–3.31 Å. In the third Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Sr–S bond distances ranging from 3.02–3.15 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Sr–S bond distances ranging from 2.99–3.29 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.97–3.33 Å. In the sixth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 28°. There are a spread of Sr–S bond distances ranging from 3.03–3.14 Å. In the seventh Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 16°. There are a spread of Sr–S bond distances ranging from 3.03–3.16 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.97–3.29 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 3.01–3.37 Å. In the tenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Sr–S bond distances ranging from 3.04–3.19 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.99–3.37 Å. In the twelfth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, edges with two SrS7 pentagonal bipyramids, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 23°. There are a spread of Sr–S bond distances ranging from 3.04–3.12 Å. In the thirteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Sr–S bond distances ranging from 3.00–3.16 Å. In the fourteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Sr–S bond distances ranging from 3.04–3.28 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 3.00–3.44 Å. In the sixteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Sr–S bond distances ranging from 2.99–3.27 Å. In the seventeenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, edges with two SrS7 pentagonal bipyramids, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Sr–S bond distances ranging from 2.96–3.18 Å. There are ten inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with four SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.26–2.31 Å. In the second Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and an edgeedge with one SrS7 pentagonal bipyramid. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the third Ta5+ site, Ta5+ is bonded to six S2- atoms to form distorted TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, an edgeedge with one SrS7 pentagonal bipyramid, and a faceface with one TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.29–2.85 Å. In the fourth Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, a faceface with one TaS6 octahedra, and faces with three SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.36–2.64 Å. In the fifth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the sixth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with four SrS7 pentagonal bipyramids and an edgeedge with one SrS7 pentagonal bipyramid. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the seventh Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, edges with three SrS7 pentagonal bipyramids, and a faceface with one TaS6 octahedra. There are three shorter (2.35 Å) and three longer (2.64 Å) Ta–S bond lengths. In the eighth Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share a cornercorner with one SrS7 pentagonal bipyramid, a faceface with one TaS6 octahedra, and faces with three SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.36–2.63 Å. In the ninth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.26–2.30 Å. In the tenth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are one shorter (2.25 Å) and three longer (2.30 Å) Ta–S bond lengths. There are forty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta5+ atom. In the second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the third S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted corner-sharing SSr3Ta tetrahedra. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the fifth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with two SSr3Ta2 square pyramids and corners with two SSr3Ta trigonal pyramids. In the sixth S2- site, S2- is bonded in a 3-coordinate geometry to two Sr2+ and one Ta5+ atom. In the seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the eighth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Sr2+ and two Ta5+ atoms. In the tenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the eleventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the twelfth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Sr2+ and two Ta5+ atoms. In the fourteenth S2- site, S2- is bonded in a distorted square co-planar geometry to three Sr2+ and one Ta5+ atom. In the fifteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the sixteenth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with two SSr3Ta2 square pyramids and a cornercorner with one SSr3Ta trigonal pyramid. In the seventeenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the eighteenth S2- site, S2- is bonded to three Sr2+ and two Ta5+ atoms to form distorted corner-sharing SSr3Ta2 square pyramids. In the nineteenth S2- site, S2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta5+ atom. In the twentieth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta trigonal pyramids that share a cornercorner with one SSr3Ta2 square pyramid, corners with three SSr3Ta tetrahedra, edges with two SSr3Ta2 square pyramids, and an edgeedge with one SSr3Ta trigonal pyramid. In the twenty-first S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with two SSr3Ta2 square pyramids and a cornercorner with one SSr3Ta trigonal pyramid. In the twenty-second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the twenty-third S2- site, S2- is bonded in a distorted rectangular see-saw-

36 MATERIALS SCIENCE↗

Materials Data on Yb4Zr3O12 by Materials Project

Zr3Yb4O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.26–2.53 Å. In the second Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.53 Å. In the third Yb3+ site, Yb3+ is bonded to six O2- atoms to form YbO6 octahedra that share a cornercorner with one ZrO7 pentagonal bipyramid and an edgeedge with one YbO7 hexagonal pyramid. There are a spread of Yb–O bond distances ranging from 2.21–2.30 Å. In the fourth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.58 Å. In the fifth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.60 Å. In the sixth Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, corners with two ZrO7 pentagonal bipyramids, an edgeedge with one ZrO6 octahedra, and edges with two ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Yb–O bond distances ranging from 2.32–2.45 Å. In the seventh Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.27–2.59 Å. In the eighth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.29–2.61 Å. In the ninth Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, corners with two ZrO7 pentagonal bipyramids, an edgeedge with one ZrO6 octahedra, and edges with two ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Yb–O bond distances ranging from 2.32–2.45 Å. In the tenth Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 hexagonal pyramids that share a cornercorner with one ZrO6 octahedra, an edgeedge with one YbO6 octahedra, and edges with two equivalent ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of Yb–O bond distances ranging from 2.29–2.47 Å. In the eleventh Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.29–2.60 Å. In the twelfth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.29–2.54 Å. In the thirteenth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.24–2.76 Å. In the fourteenth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.60 Å. In the fifteenth Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, and edges with two ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Yb–O bond distances ranging from 2.28–2.49 Å. In the sixteenth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.45 Å. There are twelve inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 40°. There are a spread of Zr–O bond distances ranging from 2.09–2.26 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one YbO7 pentagonal bipyramid, corners with two ZrO7 pentagonal bipyramids, an edgeedge with one YbO7 pentagonal bipyramid, and edges with two ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.03–2.15 Å. In the third Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 40°. There are a spread of Zr–O bond distances ranging from 2.08–2.26 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one YbO7 hexagonal pyramid, a cornercorner with one YbO7 pentagonal bipyramid, corners with two ZrO7 pentagonal bipyramids, an edgeedge with one YbO7 pentagonal bipyramid, and edges with two ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.03–2.15 Å. In the fifth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 41°. There are a spread of Zr–O bond distances ranging from 2.11–2.25 Å. In the sixth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.33 Å. In the seventh Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 41°. There are a spread of Zr–O bond distances ranging from 2.11–2.24 Å. In the eighth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, and an edgeedge with one YbO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 38°. There are a spread of Zr–O bond distances ranging from 2.09–2.25 Å. In the ninth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one YbO7 pentagonal bipyramid, and edges with two ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.01–2.20 Å. In the tenth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one YbO6 octahedra, edges with two equivalent YbO7 hexagonal pyramids, an edgeedge with one ZrO6 octahedra, and an edgeedge with one YbO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Zr–O bond distances ranging from 2.11–2.24 Å. In the eleventh Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.40 Å. In the twelfth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.06–2.26 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OYb2Zr2 tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the third O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OYb2Zr2 tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Zr4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the sixth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form distorted OYb2Zr2 tetrahedra that share corners with ten OYb3Zr tetrahedra and edges with two OYb2Zr2 tetrahedra. In the seventh O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with six OYb3Zr tetrahedra and edges with four OYb2Zr2 tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Zr4+ atoms. In the ninth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with ten OYb3Zr tetrahedra and edges with three OYb2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OYb2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form distorted OYb2Zr2 tetrahedra that share corners with nine OYb3Zr tetrahedra and edges with three OYb2Zr2 tetrahedra. In the twelfth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with seven OYb3Zr tetrahedra and edges with five OYb2Zr2 tetrahedra. In the thirteenth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OYb3Zr tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Zr4+ atoms. In the fifteenth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of edge and corner-sharing OYb2Zr2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the seventeenth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of edge and corner-sharing OYb3Zr tetrahedra. In the eighteenth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OYb2Zr2 tetrahedra. In the nineteenth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OYb3Zr tetrahedra. In the twentieth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OYb3Zr tetrahedra. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the twenty-second O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of edge and corner-sharing OYb2Zr2 tetrahedra. In the twenty-third O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of edge and corner-sharing OYb3Zr tetrahedra. In the twenty-fourth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OYb3Zr tetrahedra. In the twenty-fifth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form distorted OYb2Zr2 tetrahedra that share corners with six OYb3Zr tetrahedra and edges with four OYb2Zr2 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of edge and corner-sharing OYb2Zr2 tetrahedra. In the twenty-seventh O

36 MATERIALS SCIENCE↗

Materials Data on Sr17(Ta5S21)2 by Materials Project

Sr17Ta10S42 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Sr–S bond distances ranging from 2.98–3.17 Å. In the second Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, an edgeedge with one SrS7 pentagonal bipyramid, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Sr–S bond distances ranging from 3.05–3.29 Å. In the third Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.95–3.37 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Sr–S bond distances ranging from 3.01–3.21 Å. In the fifth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, an edgeedge with one SrS7 pentagonal bipyramid, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 36°. There are a spread of Sr–S bond distances ranging from 3.01–3.18 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.96–3.30 Å. In the seventh Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Sr–S bond distances ranging from 2.99–3.14 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.98–3.28 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 3.00–3.36 Å. In the tenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Sr–S bond distances ranging from 3.05–3.21 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 3.00–3.38 Å. In the twelfth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Sr–S bond distances ranging from 3.00–3.14 Å. In the thirteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, edges with two SrS7 pentagonal bipyramids, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Sr–S bond distances ranging from 2.99–3.18 Å. In the fourteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There are a spread of Sr–S bond distances ranging from 3.03–3.21 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.98–3.49 Å. In the sixteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Sr–S bond distances ranging from 3.00–3.18 Å. In the seventeenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Sr–S bond distances ranging from 3.01–3.29 Å. There are ten inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are one shorter (2.28 Å) and three longer (2.29 Å) Ta–S bond lengths. In the second Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and an edgeedge with one SrS7 pentagonal bipyramid. There are a spread of Ta–S bond distances ranging from 2.26–2.31 Å. In the third Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share corners with two SrS7 pentagonal bipyramids, an edgeedge with one SrS7 pentagonal bipyramid, and a faceface with one TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.37–2.62 Å. In the fourth Ta5+ site, Ta5+ is bonded to six S2- atoms to form distorted TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, a faceface with one TaS6 octahedra, and faces with two SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.31–2.74 Å. In the fifth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with two SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.26–2.30 Å. In the sixth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and an edgeedge with one SrS7 pentagonal bipyramid. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the seventh Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, edges with three SrS7 pentagonal bipyramids, and a faceface with one TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.34–2.67 Å. In the eighth Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share a cornercorner with one SrS7 pentagonal bipyramid, a faceface with one TaS6 octahedra, and faces with three SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.36–2.61 Å. In the ninth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with four SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the tenth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and an edgeedge with one SrS7 pentagonal bipyramid. There are one shorter (2.25 Å) and three longer (2.30 Å) Ta–S bond lengths. There are forty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 1-coordinate geometry to four Sr2+ and one Ta5+ atom. In the second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the third S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the fourth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to two Sr2+ and one Ta5+ atom. In the fifth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta trigonal pyramids that share a cornercorner with one SSr3Ta2 square pyramid, corners with three SSr3Ta tetrahedra, an edgeedge with one SSr3Ta2 square pyramid, and an edgeedge with one SSr3Ta trigonal pyramid. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the seventh S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with two SSr3Ta2 square pyramids and corners with three SSr3Ta trigonal pyramids. In the eighth S2- site, S2- is bonded in a 3-coordinate geometry to two Sr2+ and one Ta5+ atom. In the ninth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta trigonal pyramids that share corners with two SSr3Ta tetrahedra, a cornercorner with one SSr4Ta trigonal bipyramid, edges with two SSr3Ta2 square pyramids, and an edgeedge with one SSr3Ta trigonal pyramid. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Sr2+ and two Ta5+ atoms. In the eleventh S2- site, S2- is bonded in a 1-coordinate geometry to two Sr2+ and one Ta5+ atom. In the twelfth S2- site, S2- is bonded in a 3-coordinate geometry to two Sr2+ and one Ta5+ atom. In the thirteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the fourteenth S2- site, S2- is bonded to three Sr2+ and two Ta5+ atoms to form SSr3Ta2 square pyramids that share corners with three SSr3Ta tetrahedra, a cornercorner with one SSr3Ta trigonal pyramid, an edgeedge with one SSr3Ta trigonal pyramid, a faceface with one SSr3Ta2 square pyramid, and a faceface with one SSr4Ta trigonal bipyramid. In the fifteenth S2- site, S2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta5+ atom. In the sixteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the seventeenth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with three SSr3Ta2 square pyramids, a cornercorner with one SSr4Ta trigonal bipyramid, and corners with three SSr3Ta trigonal pyramids. In the eighteenth S2- site, S2- is bonded to three Sr2+ and two Ta5+ atoms to form SSr3Ta2 square pyramids that share corners with three SSr3Ta tetrahedra, edges with two SSr3Ta trigonal pyramids, a faceface with one SSr3Ta2 square pyramid, and a faceface with one SSr4Ta trigonal bipyramid. In the nineteenth S2- site, S2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta5+ atom. In the twentieth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta trigonal pyramids that share a cornercorner with one SSr3Ta2 square pyramid, corners with three SSr3Ta tetrahedra, edges with two SSr3Ta2 square pyramids, and edges with two SSr3Ta

36 MATERIALS SCIENCE↗

Materials Data on Fe3(CuS5)2 by Materials Project

Fe3(CuS5)2 is pyrite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.31 Å. In the second Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.31 Å. In the third Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.26–2.33 Å. In the fourth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.30 Å. In the fifth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with four CuS6 octahedra and corners with eight FeS6 octahedra. The corner-sharing octahedra tilt angles range from 60–67°. There are a spread of Fe–S bond distances ranging from 2.26–2.34 Å. In the sixth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 61–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.31 Å. In the seventh Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.25–2.35 Å. In the eighth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.25–2.35 Å. In the ninth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with four CuS6 octahedra and corners with eight FeS6 octahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.26–2.33 Å. In the tenth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with four FeS6 octahedra, corners with eight CuS6 octahedra, and corners with two SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are two shorter (2.25 Å) and four longer (2.28 Å) Fe–S bond lengths. In the eleventh Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.26–2.33 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with four FeS6 octahedra, corners with eight CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.32 Å. There are eight inequivalent Cu+1.50+ sites. In the first Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with two equivalent CuS6 octahedra, corners with ten FeS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 64–68°. There are a spread of Cu–S bond distances ranging from 2.38–2.47 Å. In the second Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with two equivalent CuS6 octahedra, corners with ten FeS6 octahedra, and corners with two SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 64–69°. There are a spread of Cu–S bond distances ranging from 2.39–2.48 Å. In the third Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with four equivalent CuS6 octahedra, corners with eight FeS6 octahedra, and corners with four SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 64–70°. There are a spread of Cu–S bond distances ranging from 2.39–2.48 Å. In the fourth Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with four CuS6 octahedra, corners with eight FeS6 octahedra, and corners with four SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 64–69°. There are four shorter (2.39 Å) and two longer (2.46 Å) Cu–S bond lengths. In the fifth Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with two equivalent CuS6 octahedra, corners with ten FeS6 octahedra, and corners with two SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 64–69°. There are a spread of Cu–S bond distances ranging from 2.37–2.47 Å. In the sixth Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with two equivalent CuS6 octahedra, corners with ten FeS6 octahedra, and corners with two SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 63–69°. There are a spread of Cu–S bond distances ranging from 2.36–2.47 Å. In the seventh Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with four CuS6 octahedra, corners with eight FeS6 octahedra, and corners with three SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 63–69°. There are a spread of Cu–S bond distances ranging from 2.38–2.48 Å. In the eighth Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with four equivalent CuS6 octahedra, corners with eight FeS6 octahedra, and corners with four SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 63–70°. There are four shorter (2.39 Å) and two longer (2.46 Å) Cu–S bond lengths. There are forty inequivalent S+1.20- sites. In the first S+1.20- site, S+1.20- is bonded in a 3-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.20 Å. In the second S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.15 Å. In the third S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.17 Å. In the fourth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.20 Å. In the fifth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.14 Å. In the sixth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to three Fe3+ and one S+1.20- atom. The S–S bond length is 2.20 Å. In the seventh S+1.20- site, S+1.20- is bonded to one Fe3+, two Cu+1.50+, and one S+1.20- atom to form distorted SFeCu2S tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with six SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 69–80°. The S–S bond length is 2.09 Å. In the eighth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.14 Å. In the ninth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.16 Å. In the tenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.11 Å. In the eleventh S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to three Fe3+ and one S+1.20- atom. The S–S bond length is 2.19 Å. In the twelfth S+1.20- site, S+1.20- is bonded to two Fe3+, one Cu+1.50+, and one S+1.20- atom to form distorted SFe2CuS tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with two SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 72–81°. The S–S bond length is 2.11 Å. In the thirteenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to one Fe3+, two Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.10 Å. In the fourteenth S+1.20- site, S+1.20- is bonded to one Fe3+, two Cu+1.50+, and one S+1.20- atom to form distorted SFeCu2S tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with three SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 70–79°. The S–S bond length is 2.07 Å. In the fifteenth S+1.20- site, S+1.20- is bonded to one Fe3+, two Cu+1.50+, and one S+1.20- atom to form distorted SFeCu2S tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with seven SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 69–80°. The S–S bond length is 2.08 Å. In the sixteenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.16 Å. In the seventeenth S+1.20- site, S+1.20- is bonded to two Fe3+, one Cu+1.50+, and one S+1.20- atom to form distorted SFe2CuS tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 72–81°. The S–S bond length is 2.11 Å. In the eighteenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.15 Å. In the nineteenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to one Fe3+, two Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.12 Å. In the twentieth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to one Fe3+, two Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.09 Å. In the twenty-first S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. In the twenty-second S+1.20- site, S+1.20- is bonded to one Fe3+, two Cu+1.50+, and one S+1.20- atom to form distorted SFeCu2S tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with three SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 70–79°. In the twenty-third S+1.20- site, S+1.20- is bonded to two Fe3+, one Cu+1.50+, and one S+1.20- atom to form distorted SFe2CuS tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with two SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 72–82°. In the twenty-fourth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. In the tw

36 MATERIALS SCIENCE↗

Materials Data on NdAl6Si30(N15O)3 by Materials Project

NdAl6Si30(N15O)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Nd is bonded in a 7-coordinate geometry to seven N atoms. There are a spread of Nd–N bond distances ranging from 2.37–2.70 Å. There are six inequivalent Al sites. In the first Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with three AlN3O tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.78–1.85 Å. The Al–O bond length is 1.90 Å. In the second Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.80–1.91 Å. The Al–O bond length is 1.89 Å. In the third Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.81–1.88 Å. The Al–O bond length is 1.89 Å. In the fourth Al site, Al is bonded to four N atoms to form AlN4 tetrahedra that share corners with eight SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.84–1.86 Å. In the fifth Al site, Al is bonded to four N atoms to form AlN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.80–1.93 Å. In the sixth Al site, Al is bonded to four N atoms to form AlN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.83–1.88 Å. There are thirty inequivalent Si sites. In the first Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.71 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.82 Å. In the second Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.74 Å. The Si–O bond length is 1.75 Å. In the third Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There is two shorter (1.72 Å) and one longer (1.79 Å) Si–N bond length. The Si–O bond length is 1.72 Å. In the fourth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There is two shorter (1.70 Å) and one longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.85 Å. In the fifth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.75 Å. The Si–O bond length is 1.80 Å. In the sixth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with six SiN3O tetrahedra. There is two shorter (1.71 Å) and two longer (1.78 Å) Si–N bond length. In the seventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with three AlN3O tetrahedra and corners with five SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.79 Å. In the eighth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with four AlN3O tetrahedra and corners with four SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.83 Å. In the ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.77 Å. In the tenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.78 Å. In the eleventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.80 Å. In the twelfth Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is three shorter (1.76 Å) and one longer (1.78 Å) Si–N bond length. In the thirteenth Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is two shorter (1.76 Å) and two longer (1.77 Å) Si–N bond length. In the fourteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.68–1.79 Å. In the fifteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.77 Å. In the sixteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.81 Å. In the seventeenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.79 Å. In the eighteenth Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.77 Å. In the nineteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.84 Å. In the twentieth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.80 Å. In the twenty-first Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is one shorter (1.75 Å) and three longer (1.76 Å) Si–N bond length. In the twenty-second Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. All Si–N bond lengths are 1.76 Å. In the twenty-third Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.81 Å. In the twenty-fourth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.77 Å. In the twenty-fifth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.81 Å. In the twenty-sixth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with three AlN3O tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.80 Å. In the twenty-seventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.77 Å. In the twenty-eighth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.79 Å. In the twenty-ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.81 Å. In the thirtieth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.75 Å. The Si–O bond length is 1.82 Å. There are forty-five inequivalent N sites. In the first N site, N is bonded in a trigonal planar geometry to three Si atoms. In the second N site, N is bonded in a trigonal planar geometry to three Si atoms. In the third N site, N is bonded in a distorted trigonal planar geometry to one Nd and three Si atoms. In the fourth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the fifth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the sixth N site, N is bonded in a 4-coordinate geometry to one Nd, two Al, and one Si atom. In the seventh N site, N is bonded in a trigonal planar geometry to three Si atoms. In the eighth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the ninth N site, N is bonded in a trigonal non-coplanar geometry to one Al and two Si atoms. In the tenth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the eleventh N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the twelfth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirteenth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the fourteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the fifteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the sixteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the seventeenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the eighteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the nineteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twentieth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-first N site, N is bonded in a 4-coordinate geometry to one Nd and three Si atoms. In the twenty-second N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-third N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-fourth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-fifth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-sixth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-seventh N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-eighth N site, N is bonded in a distorted trigonal planar geometry to one Nd and three Si atoms. In the twenty-ninth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirtieth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-first N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-second N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-third N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-fourth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the thirty-fifth N site, N is bonded to one Nd, one Al, and two Si atoms to form NNdAlSi2 tetrahedra that share a cornercorner with one NNdAl2Si tetrahedra and a cornercorner with one NNdAlSi2 trigonal pyramid. In the thirty-sixth N site, N is bonded to one Nd, one Al, and two Si atoms to form dist

36 MATERIALS SCIENCE↗