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All sourcesNASA NTRSDOE OSTI
NASA NTRS1988

Computer-aided design analysis of 57-mm, angular-contact, cryogenic turbopump bearings

The Space Shuttle main engine high-pressure oxygen turbopumps have not experienced the sevice life required of them. This insufficiency has been due in part to the shortened life of the bearings. To improve the life of the existing turbopump bearings, an effort is under way to investigate bearing modifications that could be retrofitted into the present bearing cavity. Several bearing parameters were optimized using the computer program SHABERTH, which performs a thermomechanical simulation of a load support system. The computer analysis showed that improved bearing performance is feasible if low friction coefficients can be attained. Bearing geometries were optimized considering heat generation, equilibrium temperatures, and relative life. Thermal gradients through the bearings were found to be lower with liquid lubrication than with solid film lubrication, and a liquid oxygen coolant flowrate of approximately 4.0 kg/s was found to be optimal. This paper describes the analytical modeling used to determine these feasible modifications to improve bearing performance.

Armstrong, Elizabeth S.↗
NASA NTRS1988

Earth resources: A continuing bibliography with indexes (issue 57)

This bibliography lists 451 reports, articles and other documents introduced into the NASA scientific and technical information system between January 1 and March 31, 1988. Emphasis is placed on the use of remote sensing and geophysical instrumentation in spacecraft and aircraft to survey and inventory natural resources and urban areas. Subject matter is grouped according to agriculture and forestry, environmental changes and cultural resources, geodesy and cartography, geology and mineral resources, hydrology and water management, data processing and distribution systems, instrumentation and sensors, and economic analysis.

Source record↗
NASA NTRS1996

NASA/DOD Aerospace Knowledge Diffusion Research Project: US Scientific and Technical Information Policy - Paper 57

In fiscal year 1994, the United States government spent about $68 billion for science and technology. Although there is general agreement among policy makers that the results of this expenditure can be used to enhance technological innovation and improve economic competitiveness, there is no coherent scientific and technical information (STI) policy. The absence of a cohesive policy and STI policy framework means that the transfer and utilization of STI goes uncoordinated. This chapter examines the U.S. government's role in funding science and technology, reviews Federal STI activities and involvement in the transfer and use of STI resulting from federally-funded science and technology, presents issues surrounding the use of federally-funded STI, and offers recommendations for improving the transfer and use of STI.

Pinelli, Thomas E.↗
NASA NTRS2017

Whirl Flutter Stability and Its Influence on the Design of the Distributed Electric Propeller Aircraft X- 57

This paper studies the whirl flutter stability of the NASA experimental electric propulsion aircraft designated the X-57 Maxwell. whirl flutter stability is studied at two flight conditions: sea level at 2700 RPM to represent take-off and landing and 8000 feet at 2250 RPM to represent cruise. Two multibody dynamics analyses are used: CAMRAD II and Dymore. The CAMRAD II model is a semi-span X-57 model with a modal representation for the wing/pylon system. The Dymore model is a semi-span wing with a propeller composed of beam elements for the wing/pylon system that airloads can be applied to. The two multibody dynamics analyses were verified by comparing structural properties between each other and the NASTRAN analysis. For whirl flutter, three design revisions of the wing and pylon mount system are studied. The predicted frequencies and damping ratio of the wing modes show good agreements between the two analyses. Dymore tended to predict a slightly lower damping ratio as velocity increased for all three dynamic modes presented. Whirl flutter for the semi-span model was not present up to 500 knots for the latest design, well above the operating range of the X-57.

Hoover, Christian B.↗
NASA NTRS2019

Microarcsecond VLBI Pulsar Astrometry with PSRπ II. Parallax Distances for 57 Pulsars

We present the results of PSRπ, a large astrometric project targeting radio pulsars using the Very Long Baseline Array (VLBA). From our astrometric database of 60 pulsars, we have obtained parallax-based distance measurements for all but 3, with a parallax precision that is typically ∼45 μas and approaches 10 μas in the best cases. Our full sample doubles the number of radio pulsars with a reliable (≳5σ) model-independent distance constraint. Importantly, many of the newly measured pulsars are well outside the solar neighborhood, and so PSRπ brings a near-tenfold increase in the number of pulsars with a reliable model-independent distance at d > 2 kpc. Our results show that both widely used Galactic electron density distribution models contain significant shortcomings, particularly at high Galactic latitudes. When comparing our results to pulsar timing, two of the four millisecond pulsars in our sample exhibit significant discrepancies in their proper motion estimates. With additional VLBI observations that extend our sample and improve the absolute positional accuracy of our reference sources, we will be able to additionally compare pulsar absolute reference positions between VLBI and timing, which will provide a much more sensitive test of the correctness of the solar system ephemerides used for pulsar timing. Finally, we use our large sample to estimate the typical accuracy attainable for differential VLBA astrometry of pulsars, showing that for sufficiently bright targets observed eight times over 18 months, a parallax uncertainty of 4 μas per arcminute of separation between the pulsar and calibrator can be expected.

A. T. Deller↗
NASA NTRS2022

TESS Data Release Notes: Sector 57, DR82

These Data Release Notes provide information on the processing and export of data from the Transiting Exoplanet Survey Satellite (TESS). The data products included in this data release are full frame images (FFIs), target pixel files, light curve files, collateral pixel files, cotrending basis vectors (CBVs), and Data Validation (DV) reports, time series, and associated xml files.

TESS↗
DOE OSTI2014

On the 57-us isomer in 93Rb

The 253.3 keV isomeric state located in 93Rb was studied at the HRIBF in Oak Ridge. The state in question was populated in the decay of 93Kr produced by proton induced fission of 238U and separated using the isotope separation on line technique. We report that the 253.3 keV level does not reveal isomerism and the upper limit of the half life from our measurement is 4 ns. Our findings are supported by previously reported results that were not taken into account in the latest nuclear databases.

Miernik, Krzysztof A↗
DOE OSTI2019

Panel Session 57: Nuclear Power Plant Waste Management - LLW Processor Issues

This panel resulted in senior utility managers discussing issues with commercial LLW processors. LLW processors updated utilities/NPPs on new or different services or technologies being offered to assist in their radioactive waste management goals, changes to their facility license, revisions to their acceptance guidelines, and emerging compliance issues. Presentations proposed include: 1 - EnergySolutions Waste Processing Overview (Joe Heckman, EnergySolutions (USA)); 2 - Perma-Fix: A Nuclear Services and Waste Management Company (John Kelly, Perma-Fix Environmental Services (USA)); 3 - UniTech - 'Expanding to Reduce Costs' LLW Processor Update (Gregg Johnstone, UniTech Services Group, Inc. (USA)); 4 - Low - Level Radioactive Materials Processing (Michael Miller, Veolia Nuclear Solutions (USA))

12 MANAGEMENT OF RADIOACTIVE AND NON-RADIOACTIVE W↗
DOE OSTI2020

Panel Session 57: US Nuclear Power Plant Waste Management - US LLW Disposal Issues

This panel focused on senior utility managers discussing specific disposal site issues with the disposal site operators. Representatives from each of the operating commercial disposal sites began by presenting an update of their facility, license, and waste acceptance criteria (WAC) followed by a panel discussion in response to audience questions. Panelists with presentations: Current and Emerging US NRC Regulatory Topics (Joe Weismann); WCS Update (Dan Burns); EnergySolutions Clive Facility Support for US LLW Disposal Issues (Vern C. Rogers)

12 MANAGEMENT OF RADIOACTIVE AND NON-RADIOACTIVE W↗
DOE OSTI2020

Materials Data on Ba3(RhO2)14 by Materials Project

Ba3(RhO2)14 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.85–3.03 Å. In the second Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.65–3.00 Å. In the third Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.19 Å. There are fourteen inequivalent Rh+3.57+ sites. In the first Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Rh–O bond distances ranging from 1.98–2.10 Å. In the second Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Rh–O bond distances ranging from 1.96–2.07 Å. In the third Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Rh–O bond distances ranging from 1.99–2.11 Å. In the fourth Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Rh–O bond distances ranging from 1.94–2.11 Å. In the fifth Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Rh–O bond distances ranging from 1.95–2.10 Å. In the sixth Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Rh–O bond distances ranging from 1.95–2.11 Å. In the seventh Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Rh–O bond distances ranging from 2.00–2.09 Å. In the eighth Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Rh–O bond distances ranging from 1.99–2.10 Å. In the ninth Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Rh–O bond distances ranging from 1.99–2.10 Å. In the tenth Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Rh–O bond distances ranging from 1.99–2.09 Å. In the eleventh Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Rh–O bond distances ranging from 1.95–2.09 Å. In the twelfth Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Rh–O bond distances ranging from 1.95–2.08 Å. In the thirteenth Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Rh–O bond distances ranging from 1.99–2.09 Å. In the fourteenth Rh+3.57+ site, Rh+3.57+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RhO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Rh–O bond distances ranging from 1.96–2.08 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to one Ba2+ and three Rh+3.57+ atoms to form distorted corner-sharing OBaRh3 trigonal pyramids. In the second O2- site, O2- is bonded to one Ba2+ and three Rh+3.57+ atoms to form distorted corner-sharing OBaRh3 trigonal pyramids. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Rh+3.57+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to two Ba2+ and three Rh+3.57+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+ and three Rh+3.57+ atoms. In the sixth O2- site, O2- is bonded to one Ba2+ and three Rh+3.57+ atoms to form a mixture of distorted corner and edge-sharing OBaRh3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to three Rh+3.57+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Rh+3.57+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+ and three Rh+3.57+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to two Ba2+ and three Rh+3.57+ atoms. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to three Rh+3.57+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to three Rh+3.57+ atoms. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to three Rh+3.57+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Rh+3.57+ atoms. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to three Rh+3.57+ atoms. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to three Rh+3.57+ atoms. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two Ba2+ and three Rh+3.57+ atoms. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Ba2+ and three Rh+3.57+ atoms. In the nineteenth O2- site, O2- is bonded to one Ba2+ and three Rh+3.57+ atoms to form distorted corner-sharing OBaRh3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Ba2+ and three Rh+3.57+ atoms to form a mixture of distorted corner and edge-sharing OBaRh3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Ba2+ and three Rh+3.57+ atoms to form distorted corner-sharing OBaRh3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Rh+3.57+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Rh+3.57+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Rh+3.57+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Rh+3.57+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Ba2+ and three Rh+3.57+ atoms to form a mixture of distorted corner and edge-sharing OBaRh3 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Rh+3.57+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Ba2+ and three Rh+3.57+ atoms to form a mixture of distorted corner and edge-sharing OBaRh3 trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li3LaO3 by Materials Project

Li3LaO3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four LaO6 octahedra, corners with six LiO4 tetrahedra, edges with two LaO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.96–2.27 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four LaO6 octahedra, corners with six LiO4 tetrahedra, edges with two LaO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of Li–O bond distances ranging from 1.96–2.24 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four LaO6 octahedra, corners with six LiO4 tetrahedra, edges with two LaO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.96–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four LaO6 octahedra, corners with six LiO4 tetrahedra, edges with two LaO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–57°. There are a spread of Li–O bond distances ranging from 1.96–2.23 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four LaO6 octahedra, corners with six LiO4 tetrahedra, edges with two LaO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–56°. There are a spread of Li–O bond distances ranging from 1.97–2.26 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four LaO6 octahedra, corners with six LiO4 tetrahedra, edges with two LaO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.97–2.24 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four LaO6 octahedra, corners with six LiO4 tetrahedra, edges with two LaO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of Li–O bond distances ranging from 1.97–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four LaO6 octahedra, corners with six LiO4 tetrahedra, edges with two LaO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.97–2.23 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four LaO6 octahedra, corners with six LiO4 tetrahedra, edges with two LaO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.97–2.21 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four LaO6 octahedra, corners with six LiO4 tetrahedra, edges with two LaO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.94–2.27 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four LaO6 octahedra, corners with six LiO4 tetrahedra, edges with two LaO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Li–O bond distances ranging from 1.95–2.26 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four LaO6 octahedra, corners with six LiO4 tetrahedra, edges with two LaO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of Li–O bond distances ranging from 1.96–2.23 Å. There are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to six O2- atoms to form LaO6 octahedra that share corners with twelve LiO4 tetrahedra, edges with three equivalent LaO6 octahedra, and edges with six LiO4 tetrahedra. There are four shorter (2.43 Å) and two longer (2.44 Å) La–O bond lengths. In the second La3+ site, La3+ is bonded to six O2- atoms to form LaO6 octahedra that share corners with twelve LiO4 tetrahedra, edges with three equivalent LaO6 octahedra, and edges with six LiO4 tetrahedra. There are three shorter (2.43 Å) and three longer (2.44 Å) La–O bond lengths. In the third La3+ site, La3+ is bonded to six O2- atoms to form LaO6 octahedra that share corners with twelve LiO4 tetrahedra, edges with three equivalent LaO6 octahedra, and edges with six LiO4 tetrahedra. There are four shorter (2.44 Å) and two longer (2.45 Å) La–O bond lengths. In the fourth La3+ site, La3+ is bonded to six O2- atoms to form LaO6 octahedra that share corners with twelve LiO4 tetrahedra, edges with three equivalent LaO6 octahedra, and edges with six LiO4 tetrahedra. There are a spread of La–O bond distances ranging from 2.43–2.46 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two La3+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two La3+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two La3+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two La3+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two La3+ atoms. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two La3+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two La3+ atoms. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two La3+ atoms. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two La3+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two La3+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two La3+ atoms. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two La3+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Y13Ho19O48 by Materials Project

Ho19Y13O48 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the second Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.35 Å. In the third Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the fourth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the fifth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the sixth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the seventh Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the eighth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.35 Å. In the ninth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the tenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the eleventh Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.35 Å. In the twelfth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the thirteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the fourteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the fifteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the sixteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.35 Å. In the seventeenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the eighteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the nineteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. There are thirteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Y–O bond lengths are 2.30 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Y–O bond lengths are 2.30 Å. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the eleventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the twelfth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the thirteenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ho3+ and two Y3+ atoms to form distorted OY2Ho2 trigonal pyramids that share corners with twelve OY3Ho trigonal pyramids and edges with four OYHo3 trigonal pyramids. In the second O2- site, O2

36 MATERIALS SCIENCE↗
DOE OSTI2014

Materials Data on Er2CdS4 by Materials Project

Er2CdS4 is Spinel-like structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are ten inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to four S2- atoms to form ErS4 tetrahedra that share corners with three equivalent CdS6 octahedra and corners with nine ErS6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are three shorter (2.58 Å) and one longer (2.60 Å) Er–S bond lengths. In the second Er3+ site, Er3+ is bonded to four S2- atoms to form ErS4 tetrahedra that share corners with three equivalent CdS6 octahedra and corners with nine ErS6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are three shorter (2.58 Å) and one longer (2.61 Å) Er–S bond lengths. In the third Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS4 tetrahedra, corners with three CdS4 tetrahedra, edges with two CdS6 octahedra, and edges with four equivalent ErS6 octahedra. There are a spread of Er–S bond distances ranging from 2.70–2.75 Å. In the fourth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share a cornercorner with one ErS4 tetrahedra, corners with five CdS4 tetrahedra, an edgeedge with one CdS6 octahedra, and edges with five ErS6 octahedra. There are a spread of Er–S bond distances ranging from 2.70–2.75 Å. In the fifth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with six CdS4 tetrahedra and edges with six ErS6 octahedra. There are three shorter (2.72 Å) and three longer (2.73 Å) Er–S bond lengths. In the sixth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with six CdS4 tetrahedra and edges with six ErS6 octahedra. There are three shorter (2.71 Å) and three longer (2.73 Å) Er–S bond lengths. In the seventh Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with six CdS4 tetrahedra and edges with six ErS6 octahedra. There are three shorter (2.72 Å) and three longer (2.73 Å) Er–S bond lengths. In the eighth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with six CdS4 tetrahedra and edges with six ErS6 octahedra. There are three shorter (2.72 Å) and three longer (2.73 Å) Er–S bond lengths. In the ninth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with two equivalent ErS4 tetrahedra, corners with four CdS4 tetrahedra, an edgeedge with one CdS6 octahedra, and edges with five ErS6 octahedra. All Er–S bond lengths are 2.72 Å. In the tenth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with six CdS4 tetrahedra and edges with six ErS6 octahedra. There are three shorter (2.71 Å) and three longer (2.73 Å) Er–S bond lengths. There are ten inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with three equivalent CdS6 octahedra and corners with nine ErS6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are three shorter (2.57 Å) and one longer (2.62 Å) Cd–S bond lengths. In the second Cd2+ site, Cd2+ is bonded to six S2- atoms to form CdS6 octahedra that share corners with three equivalent ErS4 tetrahedra, corners with three equivalent CdS4 tetrahedra, and edges with six ErS6 octahedra. There are three shorter (2.71 Å) and three longer (2.79 Å) Cd–S bond lengths. In the third Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with three equivalent CdS6 octahedra and corners with nine ErS6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are three shorter (2.56 Å) and one longer (2.62 Å) Cd–S bond lengths. In the fourth Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with twelve ErS6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are three shorter (2.59 Å) and one longer (2.60 Å) Cd–S bond lengths. In the fifth Cd2+ site, Cd2+ is bonded to six S2- atoms to form CdS6 octahedra that share corners with three equivalent ErS4 tetrahedra, corners with three equivalent CdS4 tetrahedra, and edges with six ErS6 octahedra. There are three shorter (2.71 Å) and three longer (2.78 Å) Cd–S bond lengths. In the sixth Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with twelve ErS6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Cd–S bond lengths are 2.59 Å. In the seventh Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with twelve ErS6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Cd–S bond lengths are 2.59 Å. In the eighth Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with twelve ErS6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are one shorter (2.58 Å) and three longer (2.59 Å) Cd–S bond lengths. In the ninth Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with twelve ErS6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are three shorter (2.59 Å) and one longer (2.60 Å) Cd–S bond lengths. In the tenth Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with twelve ErS6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are one shorter (2.57 Å) and three longer (2.60 Å) Cd–S bond lengths. There are twenty inequivalent S2- sites. In the first S2- site, S2- is bonded to three equivalent Er3+ and one Cd2+ atom to form distorted edge-sharing SEr3Cd trigonal pyramids. In the second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Er3+ and two Cd2+ atoms. In the third S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the fourth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Er3+ and two Cd2+ atoms. In the fifth S2- site, S2- is bonded to three Er3+ and one Cd2+ atom to form a mixture of distorted corner and edge-sharing SEr3Cd trigonal pyramids. In the sixth S2- site, S2- is bonded to four Er3+ atoms to form a mixture of distorted corner and edge-sharing SEr4 trigonal pyramids. In the seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the eighth S2- site, S2- is bonded to three Er3+ and one Cd2+ atom to form distorted SEr3Cd trigonal pyramids that share corners with six SEr3Cd trigonal pyramids and edges with three SEr4 trigonal pyramids. In the ninth S2- site, S2- is bonded to three Er3+ and one Cd2+ atom to form a mixture of distorted corner and edge-sharing SEr3Cd trigonal pyramids. In the tenth S2- site, S2- is bonded to four Er3+ atoms to form a mixture of distorted corner and edge-sharing SEr4 trigonal pyramids. In the eleventh S2- site, S2- is bonded to three equivalent Er3+ and one Cd2+ atom to form a mixture of distorted corner and edge-sharing SEr3Cd trigonal pyramids. In the twelfth S2- site, S2- is bonded to three Er3+ and one Cd2+ atom to form a mixture of distorted corner and edge-sharing SEr3Cd trigonal pyramids. In the thirteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the fourteenth S2- site, S2- is bonded to three equivalent Er3+ and one Cd2+ atom to form distorted corner-sharing SEr3Cd trigonal pyramids. In the fifteenth S2- site, S2- is bonded to three equivalent Er3+ and one Cd2+ atom to form a mixture of distorted corner and edge-sharing SEr3Cd trigonal pyramids. In the sixteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the seventeenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the eighteenth S2- site, S2- is bonded to three equivalent Er3+ and one Cd2+ atom to form distorted corner-sharing SEr3Cd trigonal pyramids. In the nineteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the twentieth S2- site, S2- is bonded to three Er3+ and one Cd2+ atom to form distorted SEr3Cd trigonal pyramids that share corners with three SEr4 trigonal pyramids and edges with three SEr3Cd trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Er2CdSe4 by Materials Project

Er2CdSe4 is Spinel-like structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are eleven inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to four Se2- atoms to form ErSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine ErSe6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. There are three shorter (2.70 Å) and one longer (2.72 Å) Er–Se bond lengths. In the second Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with three ErSe4 tetrahedra, corners with three CdSe4 tetrahedra, edges with two CdSe6 octahedra, and edges with four equivalent ErSe6 octahedra. There are a spread of Er–Se bond distances ranging from 2.83–2.88 Å. In the third Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share a cornercorner with one ErSe4 tetrahedra, corners with five CdSe4 tetrahedra, an edgeedge with one CdSe6 octahedra, and edges with five ErSe6 octahedra. There are a spread of Er–Se bond distances ranging from 2.83–2.88 Å. In the fourth Er3+ site, Er3+ is bonded to four Se2- atoms to form ErSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine ErSe6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are three shorter (2.70 Å) and one longer (2.73 Å) Er–Se bond lengths. In the fifth Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six ErSe6 octahedra. All Er–Se bond lengths are 2.85 Å. In the sixth Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six ErSe6 octahedra. There are three shorter (2.84 Å) and three longer (2.86 Å) Er–Se bond lengths. In the seventh Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six ErSe6 octahedra. All Er–Se bond lengths are 2.85 Å. In the eighth Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six ErSe6 octahedra. All Er–Se bond lengths are 2.85 Å. In the ninth Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six ErSe6 octahedra. All Er–Se bond lengths are 2.85 Å. In the tenth Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with two equivalent ErSe4 tetrahedra, corners with four CdSe4 tetrahedra, an edgeedge with one CdSe6 octahedra, and edges with five ErSe6 octahedra. There are two shorter (2.84 Å) and four longer (2.85 Å) Er–Se bond lengths. In the eleventh Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six ErSe6 octahedra. There are three shorter (2.84 Å) and three longer (2.86 Å) Er–Se bond lengths. There are eleven inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine ErSe6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are three shorter (2.68 Å) and one longer (2.74 Å) Cd–Se bond lengths. In the second Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine ErSe6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are three shorter (2.68 Å) and one longer (2.74 Å) Cd–Se bond lengths. In the third Cd2+ site, Cd2+ is bonded to six Se2- atoms to form CdSe6 octahedra that share corners with three equivalent ErSe4 tetrahedra, corners with three equivalent CdSe4 tetrahedra, and edges with six ErSe6 octahedra. There are three shorter (2.82 Å) and three longer (2.91 Å) Cd–Se bond lengths. In the fourth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are one shorter (2.69 Å) and three longer (2.70 Å) Cd–Se bond lengths. In the fifth Cd2+ site, Cd2+ is bonded to six Se2- atoms to form CdSe6 octahedra that share corners with three equivalent ErSe4 tetrahedra, corners with three equivalent CdSe4 tetrahedra, and edges with six ErSe6 octahedra. There are three shorter (2.83 Å) and three longer (2.90 Å) Cd–Se bond lengths. In the sixth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. All Cd–Se bond lengths are 2.70 Å. In the seventh Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. All Cd–Se bond lengths are 2.70 Å. In the eighth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Cd–Se bond lengths are 2.70 Å. In the ninth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Cd–Se bond lengths are 2.70 Å. In the tenth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are one shorter (2.69 Å) and three longer (2.70 Å) Cd–Se bond lengths. In the eleventh Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are one shorter (2.69 Å) and three longer (2.70 Å) Cd–Se bond lengths. There are twenty-four inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Er3+ and two Cd2+ atoms. In the second Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the third Se2- site, Se2- is bonded to three Er3+ and one Cd2+ atom to form a mixture of distorted corner and edge-sharing SeEr3Cd trigonal pyramids. In the fourth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Er3+ and two Cd2+ atoms. In the fifth Se2- site, Se2- is bonded to four Er3+ atoms to form a mixture of distorted corner and edge-sharing SeEr4 trigonal pyramids. In the sixth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the seventh Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the eighth Se2- site, Se2- is bonded to three Er3+ and one Cd2+ atom to form a mixture of distorted corner and edge-sharing SeEr3Cd trigonal pyramids. In the ninth Se2- site, Se2- is bonded to four Er3+ atoms to form a mixture of distorted corner and edge-sharing SeEr4 trigonal pyramids. In the tenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the eleventh Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the twelfth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the thirteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the fourteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the fifteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. The Se–Er bond length is 2.85 Å. The Se–Cd bond length is 2.70 Å. In the sixteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. The Se–Er bond length is 2.85 Å. In the seventeenth Se2- site, Se2- is bonded in a distorted trigonal pyramidal geometry to three equivalent Er3+ and one Cd2+ atom. In the eighteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the nineteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the twentieth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the twenty-first Se2- site, Se2- is bonded in a distorted trigonal pyramidal geometry to three equivalent Er3+ and one Cd2+ atom. The Se–Cd bond length is 2.70 Å. In the twenty-second Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the twenty-third Se2- site, Se2- is bonded to three Er3+ and one Cd2+ atom to form distorted SeEr3Cd trigonal pyramids that share corners with three SeEr4 trigonal pyramids and edges with three SeEr3Cd trigonal pyramids. In the twenty-fourth Se2- site, Se2- is bonded to three equivalent Er3+ and one Cd2+ atom to form distorted edge-sharing SeEr3Cd trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Y5Tm11O24 by Materials Project

Tm11Y5O24 is Spinel-like structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are seven inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with two YO6 octahedra, corners with four TmO6 octahedra, edges with three TmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Tm–O bond distances ranging from 2.22–2.32 Å. In the second Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with three TmO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four TmO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Tm–O bond distances ranging from 2.22–2.32 Å. In the third Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with two YO6 octahedra, corners with four TmO6 octahedra, edges with three TmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Tm–O bond distances ranging from 2.22–2.32 Å. In the fourth Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four TmO6 octahedra, edges with two equivalent YO6 octahedra, and edges with four TmO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Tm–O bond distances ranging from 2.22–2.31 Å. In the fifth Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four TmO6 octahedra, edges with two equivalent YO6 octahedra, and edges with four TmO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Tm–O bond distances ranging from 2.22–2.32 Å. In the sixth Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with three TmO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four TmO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Tm–O bond distances ranging from 2.22–2.32 Å. In the seventh Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four TmO6 octahedra, edges with two equivalent YO6 octahedra, and edges with four TmO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Tm–O bond distances ranging from 2.22–2.32 Å. There are three inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with six TmO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five TmO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are three shorter (2.29 Å) and three longer (2.30 Å) Y–O bond lengths. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four TmO6 octahedra, edges with two equivalent YO6 octahedra, and edges with four TmO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.25–2.35 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five TmO6 octahedra, and edges with six TmO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are two shorter (2.29 Å) and four longer (2.30 Å) Y–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to three Tm3+ and one Y3+ atom to form a mixture of distorted corner and edge-sharing OYTm3 trigonal pyramids. In the second O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing OY2Tm2 trigonal pyramids. In the third O2- site, O2- is bonded to three Tm3+ and one Y3+ atom to form a mixture of distorted corner and edge-sharing OYTm3 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form distorted OY2Tm2 trigonal pyramids that share corners with twelve OYTm3 trigonal pyramids and edges with four OY2Tm2 trigonal pyramids. In the fifth O2- site, O2- is bonded to three Tm3+ and one Y3+ atom to form a mixture of distorted corner and edge-sharing OYTm3 trigonal pyramids. In the sixth O2- site, O2- is bonded to three Tm3+ and one Y3+ atom to form distorted OYTm3 trigonal pyramids that share corners with twelve OY2Tm2 trigonal pyramids and edges with four OYTm3 trigonal pyramids. In the seventh O2- site, O2- is bonded to three Tm3+ and one Y3+ atom to form distorted OYTm3 trigonal pyramids that share corners with twelve OY2Tm2 trigonal pyramids and edges with four OYTm3 trigonal pyramids. In the eighth O2- site, O2- is bonded to three Tm3+ and one Y3+ atom to form a mixture of distorted corner and edge-sharing OYTm3 trigonal pyramids. In the ninth O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing OY2Tm2 trigonal pyramids. In the tenth O2- site, O2- is bonded to three Tm3+ and one Y3+ atom to form a mixture of distorted corner and edge-sharing OYTm3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Tm3+ and one Y3+ atom to form distorted OYTm3 trigonal pyramids that share corners with twelve OYTm3 trigonal pyramids and edges with four OY2Tm2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to three Tm3+ and one Y3+ atom to form a mixture of distorted corner and edge-sharing OYTm3 trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Fe7S8 by Materials Project

Fe7S8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Fe+2.29+ sites. In the first Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Fe–S bond distances ranging from 2.17–2.72 Å. In the second Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of Fe–S bond distances ranging from 2.17–2.51 Å. In the third Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Fe–S bond distances ranging from 2.18–2.66 Å. In the fourth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Fe–S bond distances ranging from 2.20–2.61 Å. In the fifth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of Fe–S bond distances ranging from 2.16–2.53 Å. In the sixth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. There are a spread of Fe–S bond distances ranging from 2.18–2.66 Å. In the seventh Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Fe–S bond distances ranging from 2.19–2.62 Å. In the eighth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Fe–S bond distances ranging from 2.22–2.33 Å. In the ninth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Fe–S bond distances ranging from 2.18–2.67 Å. In the tenth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Fe–S bond distances ranging from 2.17–2.54 Å. In the eleventh Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 44–55°. There are a spread of Fe–S bond distances ranging from 2.19–2.62 Å. In the twelfth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Fe–S bond distances ranging from 2.18–2.55 Å. In the thirteenth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Fe–S bond distances ranging from 2.22–2.32 Å. In the fourteenth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Fe–S bond distances ranging from 2.19–2.61 Å. There are sixteen inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the second S2- site, S2- is bonded in a 6-coordinate geometry to six Fe+2.29+ atoms. In the third S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the fourth S2- site, S2- is bonded in a 6-coordinate geometry to six Fe+2.29+ atoms. In the fifth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the seventh S2- site, S2- is bonded in a 6-coordinate geometry to six Fe+2.29+ atoms. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the ninth S2- site, S2- is bonded in a 6-coordinate geometry to six Fe+2.29+ atoms. In the tenth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the eleventh S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the twelfth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the thirteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the fourteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the fifteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the sixteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2019

Materials Data on Mg48Si34H62O147 by Materials Project

Mg48Si34H62O147 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are thirty-two inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.24 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with three SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.21 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.14 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.19 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.16 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.19 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.16 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.18 Å. In the ninth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.16 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.17 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.16 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.17 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.16 Å. In the fourteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.18 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.16 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.26 Å. In the seventeenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with six MgO6 octahedra. There are two shorter (2.05 Å) and four longer (2.17 Å) Mg–O bond lengths. In the eighteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.18 Å. In the nineteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.15 Å. In the twentieth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.26 Å. In the twenty-first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.16 Å. In the twenty-second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.17 Å. In the twenty-third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.16 Å. In the twenty-fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.18 Å. In the twenty-fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.16 Å. In the twenty-sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.18 Å. In the twenty-seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.16 Å. In the twenty-eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.19 Å. In the twenty-ninth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.15 Å. In the thirtieth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.19 Å. In the thirty-first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.22 Å. In the thirty-second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with three SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.21 Å. There are seventeen inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–57°. There is one shorter (1.61 Å) and three longer (1.66 Å) Si–O bond length. In the thirteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the fourteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the fifteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the sixteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetra

36 MATERIALS SCIENCE↗