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All sourcesNASA NTRSDOE OSTI
NASA NTRS2007

Spectral Retrieval of Latent Heating Profiles from TRMM PR data: Moistening Estimates over Tropical Ocean Regions - Part 3

The global hydrological cycle is central to the Earth's climate system, with rainfall and the physics of precipitation formation acting as the key links in the cycle. Two-thirds of global rainfall occurs in the tropics with the associated latent heating (LH) accounting for threefourths of the total heat energy available to the Earth's atmosphere. In the last decade, it has been established that standard products of LH from satellite measurements, particularly TRMM measurements, would be a valuable resource for scientific research and applications. Such products would enable new insights and investigations concerning the complexities of convection system life cycles, the diabatic heating controls and feedbacks related to rne-sosynoptic circulations and their forecasting, the relationship of tropical patterns of LH to the global circulation and climate, and strategies for improving cloud parameterizations In environmental prediction models. However, the LH and water vapor profile or budget (called the apparent moisture sink, or Q2) is closely related. This paper presented the development of an algorithm for retrieving Q2 using 'TRMM precipitation radar. Since there is no direct measurement of LH and Q2, the validation of algorithm usually applies a method called consistency check. Consistency checking involving Cloud Resolving Model (CRM)-generated LH and 42 profiles and algorithm-reconstructed is a useful step in evaluating the performance of a given algorithm. In this process, the CRM simulation of a time-dependent precipitation process (multiple-day time series) is used to obtain the required input parameters for a given algorithm. The algorithm is then used to "~econsti-LKt~h"e heating and moisture profiles that the CRM simulation originally produced, and finally both sets of conformal estimates (model and algorithm) are compared each other. The results indicate that discrepancies between the reconstructed and CM-simulated profiles for Q2, especially at low levels, are larger than those for latent heat. Larger discrepancies in Q2 at low levels are due to moistening for non-precipitating region that algorithm cannot reconstruct. Nevertheless, the algorithm-reconstructed total Q2 profiles are in good agreement with the CRM-simulated ones.

Shige, S.↗
NASA NTRS2010

Satellite Sampling and Retrieval Errors in Regional Monthly Rain Estimates from TMI AMSR-E, SSM/I, AMSU-B and the TRMM PR

Passive and active microwave rain sensors onboard earth-orbiting satellites estimate monthly rainfall from the instantaneous rain statistics collected during satellite overpasses. It is well known that climate-scale rain estimates from meteorological satellites incur sampling errors resulting from the process of discrete temporal sampling and statistical averaging. Sampling and retrieval errors ultimately become entangled in the estimation of the mean monthly rain rate. The sampling component of the error budget effectively introduces statistical noise into climate-scale rain estimates that obscure the error component associated with the instantaneous rain retrieval. Estimating the accuracy of the retrievals on monthly scales therefore necessitates a decomposition of the total error budget into sampling and retrieval error quantities. This paper presents results from a statistical evaluation of the sampling and retrieval errors for five different space-borne rain sensors on board nine orbiting satellites. Using an error decomposition methodology developed by one of the authors, sampling and retrieval errors were estimated at 0.25 resolution within 150 km of ground-based weather radars located at Kwajalein, Marshall Islands and Melbourne, Florida. Error and bias statistics were calculated according to the land, ocean and coast classifications of the surface terrain mask developed for the Goddard Profiling (GPROF) rain algorithm. Variations in the comparative error statistics are attributed to various factors related to differences in the swath geometry of each rain sensor, the orbital and instrument characteristics of the satellite and the regional climatology. The most significant result from this study found that each of the satellites incurred negative longterm oceanic retrieval biases of 10 to 30%.

Fisher, Brad↗
NASA NTRS2015

Modeled Forecasts of Dengue Fever in San Juan, PR Using NASA Satellite Enhanced Weather Forecasts

Dengue virus is transmitted between humans and mosquitoes of the genus Aedes and causes approximately 96 million cases of disease (dengue fever) each year (Bhatet al. 2013). Symptoms of dengue fever include fever, headache, nausea, vomiting, and eye, muscle and joint pain (CDC). More sever manifestations such as abdominal pain, bleeding from nose and gums, vomiting of blood, and clammy skin occur in rare cases of dengue hemorrhagic fever (CDC). Dengue fever occurs throughout tropical and sub-tropical regions worldwide, however, the geographical range and size of epidemics is increasing. Weather and climate are drivers of dengue virus transmission dynamics (Morin et al. 2013) by affecting mosquito proliferation and the virus extrinsic incubation period (i.e. required time for the virus to replicate and disseminate within the mosquito before it can retransmit the virus).

vector↗
DOE OSTI2021

Ab Initio Study of Atomic and Electronic Structure of Promising Ba4XMn3O12 (X = Nb, Ce, Pr) Oxides for Solar Thermochemical Hydrogen Production

The two-step metal oxide water-splitting cycle is one of the most viable approach for Solar Thermochemical Hydrogen (STCH) production. Challenges exist in finding suitable oxides that can satisfy thermodynamics of the STCH redox cycle under viable range of temperatures and partial pressures. Recently, BXM family members, i.e., Ba4NbMn3O12 (BNM), Ba4CeMn3O12 (BCM), Ba4PrMn3O12 (BPM) are discovered to exhibit promising STCH performance. However, the magnetic degrees of freedom of their experimental crystal structures is not characterized, and only hypothetical models exist for their electronic structure. We performed Monte-Carlo sampling for the magnetic spin arrangement of Mn atoms to provide explicit atomic structure models for their ground state 12R polytype and determined the most stable spin configuration for each member after structure relaxation using density functional theory (DFT) calculations. We also elucidate the most stable charge configuration (Mn3+/Mn4+ arrangement) for BNM among the existing hypothesis in literature. We investigate these strongly correlated oxides using different levels of theory (DFT+U, Hybrid-DFT) to develop better understanding of their electronic structure. These calculations allowed us to develop a model based on molecular orbital interactions that help explain the observed changes in their experimental x-ray spectroscopy measurements. Thereby, help link differences in electronic structure of BXM family members to their varying water-splitting behavior. These structure models will further facilitate future in-depth defect studies to model STCH redox cycle of these oxides.

atomic and magnetic structure↗
DOE OSTI2020

Materials Data on Pr14Si11Ni6 by Materials Project

Pr14Ni6Si11 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-eight inequivalent Pr sites. In the first Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.96 Å. There are a spread of Pr–Si bond distances ranging from 3.08–3.29 Å. In the second Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 3.00 Å. There are a spread of Pr–Si bond distances ranging from 3.12–3.18 Å. In the third Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.92 Å. There are a spread of Pr–Si bond distances ranging from 3.08–3.32 Å. In the fourth Pr site, Pr is bonded in a 7-coordinate geometry to two Ni and five Si atoms. There are one shorter (2.88 Å) and one longer (2.92 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 3.11–3.21 Å. In the fifth Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.07 Å. There are a spread of Pr–Si bond distances ranging from 3.11–3.13 Å. In the sixth Pr site, Pr is bonded to six Ni and six Si atoms to form PrSi6Ni6 cuboctahedra that share edges with two equivalent PrSi8Ni4 cuboctahedra and faces with three PrSi6Ni6 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.22–3.26 Å. There are a spread of Pr–Si bond distances ranging from 3.13–3.20 Å. In the seventh Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.08 Å. There are three shorter (3.12 Å) and three longer (3.13 Å) Pr–Si bond lengths. In the eighth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.93 Å. There are a spread of Pr–Si bond distances ranging from 3.09–3.34 Å. In the ninth Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 2.90 Å. There are a spread of Pr–Si bond distances ranging from 3.15–3.21 Å. In the tenth Pr site, Pr is bonded to six Ni and six Si atoms to form PrSi6Ni6 cuboctahedra that share edges with two equivalent PrSi8Ni4 cuboctahedra and faces with three PrSi6Ni6 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.21–3.26 Å. There are a spread of Pr–Si bond distances ranging from 3.12–3.30 Å. In the eleventh Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.97 Å) and one longer (2.98 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 3.13–3.24 Å. In the twelfth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.93 Å. There are a spread of Pr–Si bond distances ranging from 3.08–3.34 Å. In the thirteenth Pr site, Pr is bonded in a 6-coordinate geometry to two equivalent Ni and four Si atoms. There are one shorter (2.96 Å) and one longer (2.97 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 2.99–3.31 Å. In the fourteenth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.98 Å. There are a spread of Pr–Si bond distances ranging from 3.13–3.23 Å. In the fifteenth Pr site, Pr is bonded to six Ni and six Si atoms to form PrSi6Ni6 cuboctahedra that share edges with two equivalent PrSi8Ni4 cuboctahedra and faces with three PrSi6Ni6 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.21–3.26 Å. There are a spread of Pr–Si bond distances ranging from 3.13–3.30 Å. In the sixteenth Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 3.00 Å. There are a spread of Pr–Si bond distances ranging from 3.11–3.18 Å. In the seventeenth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.88 Å. There are four shorter (3.15 Å) and one longer (3.35 Å) Pr–Si bond lengths. In the eighteenth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.90 Å) and one longer (2.91 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 3.08–3.33 Å. In the nineteenth Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 2.90 Å. There are a spread of Pr–Si bond distances ranging from 3.15–3.20 Å. In the twentieth Pr site, Pr is bonded in a 6-coordinate geometry to two equivalent Ni and four Si atoms. Both Pr–Ni bond lengths are 2.96 Å. There are a spread of Pr–Si bond distances ranging from 2.99–3.31 Å. In the twenty-first Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.88 Å. There are four shorter (3.15 Å) and one longer (3.35 Å) Pr–Si bond lengths. In the twenty-second Pr site, Pr is bonded in a 7-coordinate geometry to two Ni and five Si atoms. There are one shorter (2.88 Å) and one longer (2.91 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 3.11–3.22 Å. In the twenty-third Pr site, Pr is bonded to four Ni and eight Si atoms to form a mixture of edge and face-sharing PrSi8Ni4 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.21–3.23 Å. There are a spread of Pr–Si bond distances ranging from 3.20–3.24 Å. In the twenty-fourth Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.05 Å. There are a spread of Pr–Si bond distances ranging from 3.04–3.32 Å. In the twenty-fifth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.95 Å. There are a spread of Pr–Si bond distances ranging from 3.06–3.28 Å. In the twenty-sixth Pr site, Pr is bonded to six Ni and six Si atoms to form PrSi6Ni6 cuboctahedra that share edges with two equivalent PrSi8Ni4 cuboctahedra and faces with three PrSi6Ni6 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.20–3.27 Å. There are a spread of Pr–Si bond distances ranging from 3.13–3.20 Å. In the twenty-seventh Pr site, Pr is bonded to four Ni and eight Si atoms to form a mixture of edge and face-sharing PrSi8Ni4 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.21–3.23 Å. There are a spread of Pr–Si bond distances ranging from 3.19–3.22 Å. In the twenty-eighth Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.06 Å. There are a spread of Pr–Si bond distances ranging from 3.04–3.33 Å. There are twelve inequivalent Ni sites. In the first Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.40–2.48 Å. In the second Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.40–2.48 Å. In the third Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are one shorter (2.45 Å) and two longer (2.50 Å) Ni–Si bond lengths. In the fourth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are one shorter (2.40 Å) and two longer (2.47 Å) Ni–Si bond lengths. In the fifth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.29–2.41 Å. In the sixth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are one shorter (2.39 Å) and two longer (2.47 Å) Ni–Si bond lengths. In the seventh Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.29–2.40 Å. In the eighth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.28–2.42 Å. In the ninth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.36–2.47 Å. In the tenth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.36–2.47 Å. In the eleventh Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.29–2.39 Å. In the twelfth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are one shorter (2.46 Å) and two longer (2.50 Å) Ni–Si bond lengths. There are twenty-two inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the second Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the third Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the fourth Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Ni atom. In the fifth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two equivalent Ni atoms. In the sixth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the seventh Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.52 Å. In the eighth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the ninth Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.52 Å. In the tenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two equivalent Ni atoms. In the eleventh Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.54 Å. In the twelfth Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.52 Å. In the thirteenth Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Ni atom. In the fourteenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two equivalent Ni atoms. In the fifteenth Si site, Si is bonded in a 8-coordinate geometry to seven Pr and one Ni atom. In the sixteenth Si site, Si is bonded in a 8-coordinate geometry to seven Pr and one Ni atom. In the seventeenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the eighteenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the nineteenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the twentieth Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the twenty-first Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two equivalent Ni atoms. In the twenty-second Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pr27Se40 by Materials Project

Pr27Se40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Pr sites. In the first Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.97–3.25 Å. In the second Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.99–3.26 Å. In the third Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.28 Å. In the fourth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.99–3.23 Å. In the fifth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.30 Å. In the sixth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.03–3.28 Å. In the seventh Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.29 Å. In the eighth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.27 Å. In the ninth Pr site, Pr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Pr–Se bond distances ranging from 2.96–3.35 Å. In the tenth Pr site, Pr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Pr–Se bond distances ranging from 2.97–3.35 Å. In the eleventh Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.28 Å. In the twelfth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.23 Å. In the thirteenth Pr site, Pr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Pr–Se bond distances ranging from 2.99–3.27 Å. In the fourteenth Pr site, Pr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Pr–Se bond distances ranging from 2.98–3.35 Å. In the fifteenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.23 Å. In the sixteenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.23 Å. In the seventeenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.99–3.24 Å. In the eighteenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.98–3.22 Å. In the nineteenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.24 Å. In the twentieth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.28 Å. In the twenty-first Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.23 Å. In the twenty-second Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.22 Å. In the twenty-third Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.29 Å. In the twenty-fourth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.98–3.29 Å. In the twenty-fifth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.98–3.25 Å. In the twenty-sixth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.29 Å. In the twenty-seventh Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.32 Å. There are forty inequivalent Se sites. In the first Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with nine SePr6 octahedra, corners with seven SePr5 square pyramids, edges with four SePr5 square pyramids, an edgeedge with one SePr5 trigonal bipyramid, and faces with three SePr6 octahedra. The corner-sharing octahedra tilt angles range from 13–52°. In the second Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with five SePr6 octahedra, corners with ten SePr5 square pyramids, edges with five SePr6 octahedra, an edgeedge with one SePr5 square pyramid, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 46–55°. In the third Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with five SePr6 octahedra, corners with eight SePr5 square pyramids, corners with two equivalent SePr5 trigonal bipyramids, edges with two SePr6 octahedra, edges with four SePr5 square pyramids, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 18–53°. In the fourth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with ten SePr6 octahedra, corners with three SePr5 square pyramids, edges with three SePr6 octahedra, edges with five SePr5 square pyramids, a faceface with one SePr6 octahedra, and a faceface with one SePr5 square pyramid. The corner-sharing octahedra tilt angles range from 20–49°. In the fifth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with five SePr6 octahedra, corners with nine SePr5 square pyramids, a cornercorner with one SePr5 trigonal bipyramid, edges with three SePr6 octahedra, edges with three SePr5 square pyramids, faces with three SePr6 octahedra, and faces with two SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 45–52°. In the sixth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with five SePr5 square pyramids, edges with four SePr6 octahedra, edges with four SePr5 square pyramids, and faces with two SePr6 octahedra. The corner-sharing octahedra tilt angles range from 19–50°. In the seventh Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with five SePr6 octahedra, corners with nine SePr5 square pyramids, a cornercorner with one SePr5 trigonal bipyramid, edges with three SePr6 octahedra, edges with three SePr5 square pyramids, faces with three SePr6 octahedra, and faces with two SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 21–48°. In the eighth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with five SePr5 square pyramids, edges with four SePr6 octahedra, edges with four SePr5 square pyramids, a faceface with one SePr6 octahedra, and a faceface with one SePr5 square pyramid. The corner-sharing octahedra tilt angles range from 17–51°. In the ninth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with seven SePr5 square pyramids, a cornercorner with one SePr5 trigonal bipyramid, edges with two SePr6 octahedra, edges with three SePr5 square pyramids, and faces with three SePr6 octahedra. The corner-sharing octahedra tilt angles range from 11–53°. In the tenth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with six SePr6 octahedra, corners with six SePr5 square pyramids, a cornercorner with one SePr5 trigonal bipyramid, edges with three SePr6 octahedra, edges with five SePr5 square pyramids, and faces with two SePr6 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the eleventh Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with five SePr5 square pyramids, edges with three SePr6 octahedra, edges with five SePr5 square pyramids, a faceface with one SePr5 square pyramid, and a faceface with one SePr5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 17–51°. In the twelfth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share a cornercorner with one SePr6 octahedra, corners with fourteen SePr5 square pyramids, edges with four SePr6 octahedra, edges with two SePr5 square pyramids, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedral tilt angles are 46°. In the thirteenth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with six SePr6 octahedra, corners with ten SePr5 square pyramids, edges with two SePr6 octahedra, edges with three SePr5 square pyramids, faces with two SePr6 octahedra, and a faceface with one SePr5 square pyramid. The corner-sharing octahedra tilt angles range from 18–52°. In the fourteenth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with eight SePr5 square pyramids, edges with two SePr6 octahedra, edges with three SePr5 square pyramids, faces with two SePr6 octahedra, and a faceface with one SePr5 square pyramid. The corner-sharing octahedra tilt angles range from 19–50°. In the fifteenth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with seven SePr6 octahedra, corners with eight SePr5 square pyramids, edges with two SePr6 octahedra, edges with four SePr5 square pyramids, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 20–54°. In the sixteenth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with seven SePr6 octahedra, corners with eight SePr5 square pyramids, an edgeedge with one SePr6 octahedra, edges with five SePr5 square pyramids, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedra tilt angles

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pr3Ni7P5 by Materials Project

Pr3Ni7P5 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Pr sites. In the first Pr site, Pr is bonded in a 2-coordinate geometry to nine Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.03–3.10 Å. There are two shorter (2.95 Å) and four longer (3.05 Å) Pr–P bond lengths. In the second Pr site, Pr is bonded in a 4-coordinate geometry to nine Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.02–3.11 Å. There are a spread of Pr–P bond distances ranging from 2.95–3.05 Å. In the third Pr site, Pr is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.00–3.14 Å. There are a spread of Pr–P bond distances ranging from 2.99–3.05 Å. In the fourth Pr site, Pr is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.00–3.15 Å. There are a spread of Pr–P bond distances ranging from 2.99–3.04 Å. In the fifth Pr site, Pr is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.03–3.12 Å. There are four shorter (3.04 Å) and two longer (3.05 Å) Pr–P bond lengths. In the sixth Pr site, Pr is bonded in a 9-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 2.91–3.14 Å. There are a spread of Pr–P bond distances ranging from 3.03–3.05 Å. In the seventh Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.04–3.14 Å. There are four shorter (3.01 Å) and two longer (3.04 Å) Pr–P bond lengths. In the eighth Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.04–3.15 Å. There are a spread of Pr–P bond distances ranging from 3.00–3.05 Å. In the ninth Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.05–3.13 Å. There are a spread of Pr–P bond distances ranging from 3.00–3.05 Å. In the tenth Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.04–3.10 Å. There are a spread of Pr–P bond distances ranging from 3.01–3.05 Å. In the eleventh Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.05–3.13 Å. There are four shorter (3.01 Å) and two longer (3.06 Å) Pr–P bond lengths. In the twelfth Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.05–3.10 Å. There are a spread of Pr–P bond distances ranging from 3.01–3.04 Å. There are twenty-eight inequivalent Ni sites. In the first Ni site, Ni is bonded to three Pr, two equivalent Ni, and four P atoms to form distorted NiPr3Ni2P4 tetrahedra that share corners with five NiPr4P4 tetrahedra, an edgeedge with one NiPr4P4 tetrahedra, and faces with five NiPr3Ni2P4 tetrahedra. Both Ni–Ni bond lengths are 2.59 Å. There are a spread of Ni–P bond distances ranging from 2.33–2.38 Å. In the second Ni site, Ni is bonded to three Pr and four P atoms to form distorted NiPr3P4 tetrahedra that share corners with five NiPr4P4 tetrahedra, edges with three NiPr3P4 tetrahedra, and faces with three NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.38 Å. In the third Ni site, Ni is bonded in a 4-coordinate geometry to three Pr and four P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.42 Å. In the fourth Ni site, Ni is bonded in a 4-coordinate geometry to three Pr and four P atoms. There are a spread of Ni–P bond distances ranging from 2.27–2.43 Å. In the fifth Ni site, Ni is bonded in a 4-coordinate geometry to three Pr and four P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.37 Å. In the sixth Ni site, Ni is bonded in a 4-coordinate geometry to three Pr, one Ni, and four P atoms. The Ni–Ni bond length is 2.42 Å. There are a spread of Ni–P bond distances ranging from 2.27–2.40 Å. In the seventh Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with six NiPr3Ni2P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with two equivalent NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.33–2.41 Å. In the eighth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with eight NiPr3Ni2P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with three NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.34–2.40 Å. In the ninth Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiPr4P4 tetrahedra. There are three shorter (2.35 Å) and one longer (2.38 Å) Ni–P bond lengths. In the tenth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with five NiPr4P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with four NiPr3P4 tetrahedra. There are two shorter (2.32 Å) and two longer (2.34 Å) Ni–P bond lengths. In the eleventh Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiPr4P4 tetrahedra. There are three shorter (2.34 Å) and one longer (2.39 Å) Ni–P bond lengths. In the twelfth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with five NiPr4P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with four NiPr3Ni2P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.35 Å. In the thirteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.32 Å. In the fourteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are two shorter (2.29 Å) and one longer (2.33 Å) Ni–P bond lengths. In the fifteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are two shorter (2.29 Å) and one longer (2.32 Å) Ni–P bond lengths. In the sixteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.31 Å. In the seventeenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are two shorter (2.29 Å) and one longer (2.33 Å) Ni–P bond lengths. In the eighteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are a spread of Ni–P bond distances ranging from 2.28–2.32 Å. In the nineteenth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share a cornercorner with one NiPr4P4 tetrahedra, edges with four NiPr3Ni2P4 tetrahedra, and faces with four NiPr4P4 tetrahedra. There are two shorter (2.32 Å) and two longer (2.35 Å) Ni–P bond lengths. In the twentieth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share a cornercorner with one NiPr4P4 tetrahedra, edges with four NiPr3P4 tetrahedra, and faces with four NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.36 Å. In the twenty-first Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.36 Å. In the twenty-second Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with three NiPr3P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with four NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.36 Å. In the twenty-third Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiPr4P4 tetrahedra. There are two shorter (2.32 Å) and two longer (2.34 Å) Ni–P bond lengths. In the twenty-fourth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with three NiPr3Ni2P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with four NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.35 Å. In the twenty-fifth Ni site, Ni is bonded in a 3-coordinate geometry to one Pr and three P atoms. There are one shorter (2.17 Å) and two longer (2.39 Å) Ni–P bond lengths. In the twenty-sixth Ni site, Ni is bonded in a distorted trigonal non-coplanar geometry to one Pr and three P atoms. There are one shorter (2.19 Å) and two longer (2.36 Å) Ni–P bond lengths. In the twenty-seventh Ni site, Ni is bonded in a 3-coordinate geometry to one Pr and three P atoms. There are one shorter (2.16 Å) and two longer (2.38 Å) Ni–P bond lengths. In the twenty-eighth Ni site, Ni is bonded in a 3-coordinate geometry to one Pr, three Ni, and three P atoms. There are one shorter (2.18 Å) and two longer (2.32 Å) Ni–P bond lengths. There are twenty inequivalent P sites. In the first P site, P is bonded in a 3-coordinate geometry to six Pr and three Ni atoms. In the second P site, P is bonded in a 3-coordinate geometry to six Pr and three Ni atoms. In the third P site, P is bonded in a 6-coordinate geometry to two equivalent Pr and six Ni atoms. In the fourth P site, P is bonded in a 9-coordinate geometry to two equivalent Pr and seven Ni atoms. In the fifth P site, P is bonded in a 6-coordinate geometry to two equivalent Pr and six Ni atoms. In the sixth P site, P is bonded in a 9-coordinate geometry to two equivalent Pr and seven Ni atoms. In the seventh P site, P is bonded in a 7-coordinate geometry to two equivalent Pr and five Ni atoms. In the eighth P site, P is bonded in a 7-coordinate geometry to two equivalent Pr and five Ni atoms. In the ninth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the tenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the eleventh P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the twelfth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the thirteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the fourteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the fifteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the sixteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the seventeenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the eighteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the nineteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the twentieth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pr20AlSi19N33Cl2O19 by Materials Project

Pr20AlSi19N33O19Cl2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are fourteen inequivalent Pr sites. In the first Pr site, Pr is bonded to five N and three O atoms to form distorted PrN5O3 hexagonal bipyramids that share corners with two PrN3O4 pentagonal bipyramids, an edgeedge with one PrN5O3 hexagonal bipyramid, an edgeedge with one AlN2O2 tetrahedra, and edges with five SiN4 tetrahedra. There are a spread of Pr–N bond distances ranging from 2.53–2.83 Å. There are a spread of Pr–O bond distances ranging from 2.58–2.62 Å. In the second Pr site, Pr is bonded to three N and four O atoms to form distorted PrN3O4 pentagonal bipyramids that share corners with two equivalent PrN5O3 hexagonal bipyramids, a cornercorner with one SiN3O tetrahedra, an edgeedge with one AlN2O2 tetrahedra, and edges with three SiN3O tetrahedra. There are one shorter (2.45 Å) and two longer (2.59 Å) Pr–N bond lengths. There are a spread of Pr–O bond distances ranging from 2.45–2.86 Å. In the third Pr site, Pr is bonded in a 9-coordinate geometry to six N, two equivalent O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.49–3.10 Å. Both Pr–O bond lengths are 2.71 Å. The Pr–Cl bond length is 3.23 Å. In the fourth Pr site, Pr is bonded in a 7-coordinate geometry to four N and three O atoms. There are a spread of Pr–N bond distances ranging from 2.36–2.68 Å. There are a spread of Pr–O bond distances ranging from 2.45–2.75 Å. In the fifth Pr site, Pr is bonded in a 8-coordinate geometry to three N, four O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.55–2.66 Å. There are a spread of Pr–O bond distances ranging from 2.36–2.87 Å. The Pr–Cl bond length is 3.16 Å. In the sixth Pr site, Pr is bonded in a 6-coordinate geometry to six N and two equivalent O atoms. There are a spread of Pr–N bond distances ranging from 2.40–3.06 Å. Both Pr–O bond lengths are 2.71 Å. In the seventh Pr site, Pr is bonded to three N and four O atoms to form distorted PrN3O4 pentagonal bipyramids that share corners with two equivalent PrN5O3 hexagonal bipyramids, a cornercorner with one SiN4 tetrahedra, an edgeedge with one AlN2O2 tetrahedra, and edges with three SiN2O2 tetrahedra. There are one shorter (2.46 Å) and two longer (2.63 Å) Pr–N bond lengths. There are a spread of Pr–O bond distances ranging from 2.39–2.71 Å. In the eighth Pr site, Pr is bonded in a 8-coordinate geometry to four N and four O atoms. There are a spread of Pr–N bond distances ranging from 2.55–2.83 Å. There are a spread of Pr–O bond distances ranging from 2.47–2.59 Å. In the ninth Pr site, Pr is bonded in a 7-coordinate geometry to four N and three O atoms. There are a spread of Pr–N bond distances ranging from 2.47–2.63 Å. There are two shorter (2.46 Å) and one longer (2.68 Å) Pr–O bond lengths. In the tenth Pr site, Pr is bonded in a 9-coordinate geometry to six N, two equivalent O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.51–3.16 Å. Both Pr–O bond lengths are 2.69 Å. The Pr–Cl bond length is 3.17 Å. In the eleventh Pr site, Pr is bonded in a 7-coordinate geometry to four N and three O atoms. There are a spread of Pr–N bond distances ranging from 2.49–2.70 Å. There are a spread of Pr–O bond distances ranging from 2.41–2.48 Å. In the twelfth Pr site, Pr is bonded in a 8-coordinate geometry to five N, two O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.37–2.78 Å. Both Pr–O bond lengths are 2.45 Å. The Pr–Cl bond length is 3.20 Å. In the thirteenth Pr site, Pr is bonded in a 6-coordinate geometry to six N and two equivalent O atoms. There are a spread of Pr–N bond distances ranging from 2.43–3.04 Å. Both Pr–O bond lengths are 2.72 Å. In the fourteenth Pr site, Pr is bonded in a 7-coordinate geometry to five N and two O atoms. There are a spread of Pr–N bond distances ranging from 2.42–2.62 Å. There are one shorter (2.64 Å) and one longer (2.79 Å) Pr–O bond lengths. Al is bonded to two equivalent N and two O atoms to form AlN2O2 tetrahedra that share corners with two equivalent SiN3O tetrahedra, edges with two equivalent PrN5O3 hexagonal bipyramids, and edges with two PrN3O4 pentagonal bipyramids. Both Al–N bond lengths are 1.82 Å. There is one shorter (1.79 Å) and one longer (1.80 Å) Al–O bond length. There are eleven inequivalent Si sites. In the first Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one AlN2O2 tetrahedra, corners with two SiN3O tetrahedra, an edgeedge with one PrN5O3 hexagonal bipyramid, and an edgeedge with one PrN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.73 Å. The Si–O bond length is 1.68 Å. In the second Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three SiN4 tetrahedra and an edgeedge with one PrN5O3 hexagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.74 Å. The Si–O bond length is 1.67 Å. In the third Si site, Si is bonded to two equivalent N and two O atoms to form SiN2O2 tetrahedra that share corners with two equivalent SiN3O tetrahedra and edges with two PrN3O4 pentagonal bipyramids. Both Si–N bond lengths are 1.71 Å. There is one shorter (1.67 Å) and one longer (1.69 Å) Si–O bond length. In the fourth 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 1.69 Å. In the fifth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one PrN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.76 Å. The Si–O bond length is 1.68 Å. In the sixth Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There is two shorter (1.71 Å) and one longer (1.75 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the seventh Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.74 Å. The Si–O bond length is 1.68 Å. In the eighth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one PrN3O4 pentagonal bipyramid and corners with two equivalent SiN3O tetrahedra. There is one shorter (1.72 Å) and two longer (1.74 Å) Si–N bond length. The Si–O bond length is 1.71 Å. In the ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one PrN3O4 pentagonal bipyramid, corners with two equivalent SiN4 tetrahedra, and edges with two equivalent PrN5O3 hexagonal bipyramids. There are a spread of Si–N bond distances ranging from 1.74–1.76 Å. In the tenth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one PrN5O3 hexagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.74 Å. The Si–O bond length is 1.68 Å. In the eleventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one PrN5O3 hexagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.77 Å. There are twenty inequivalent N sites. In the first N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the second N site, N is bonded to two Pr and two equivalent Si atoms to form a mixture of distorted edge and corner-sharing NPr2Si2 tetrahedra. In the third N site, N is bonded in a 5-coordinate geometry to three Pr, one Al, and one Si atom. In the fourth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share corners with three NPr2Si2 tetrahedra, corners with three OPr3Si tetrahedra, and a cornercorner with one NPr2Si2 trigonal pyramid. In the fifth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share corners with two OPr3Si tetrahedra, corners with four NPr3Si tetrahedra, and a cornercorner with one NPr2Si2 trigonal pyramid. In the sixth N site, N is bonded in a distorted linear geometry to three Pr and two Si atoms. In the seventh N site, N is bonded to two Pr and two equivalent Si atoms to form distorted NPr2Si2 tetrahedra that share corners with two equivalent OPr3Si tetrahedra, corners with six NPr2Si2 trigonal pyramids, and an edgeedge with one NPr2Si2 tetrahedra. In the eighth N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the ninth N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the tenth N site, N is bonded to two Pr and two equivalent Si atoms to form distorted NPr2Si2 tetrahedra that share corners with six NPr2Si2 trigonal pyramids, an edgeedge with one NPr2Si2 tetrahedra, and edges with two equivalent OPr3Si tetrahedra. In the eleventh N site, N is bonded to four Pr and one Si atom to form distorted NPr4Si square pyramids that share corners with two equivalent NPr3Si2 trigonal bipyramids, a cornercorner with one OPr3Al trigonal pyramid, corners with two equivalent NPr2Si2 trigonal pyramids, edges with four OPr3Si tetrahedra, edges with two equivalent NPr3Si2 trigonal bipyramids, and an edgeedge with one NPr3Si trigonal pyramid. In the twelfth N site, N is bonded to three Pr and two Si atoms to form distorted NPr3Si2 trigonal bipyramids that share a cornercorner with one NPr4Si square pyramid, a cornercorner with one NPr3Si tetrahedra, corners with two OPr3Si tetrahedra, a cornercorner with one NPr3Si trigonal pyramid, an edgeedge with one NPr4Si square pyramid, edges with two OPr3Si tetrahedra, an edgeedge with one NPr3Si2 trigonal bipyramid, an edgeedge with one NPr2Si2 trigonal pyramid, and an edgeedge with one OPr3Si trigonal pyramid. In the thirteenth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share a cornercorner with one NPr4Si square pyramid, corners with three OPr3Si tetrahedra, corners with four NPr2Si2 tetrahedra, a cornercorner with one NPr2Si2 trigonal pyramid, an edgeedge with one OPr3Si tetrahedra, and an edgeedge with one NPr3Si2 trigonal bipyramid. In the fourteenth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share a cornercorner with one NPr4Si square pyramid, corners with three OPr3Si tetrahedra, corners with four NPr2Si2 tetrahedra, a cornercorner with one NPr2Si2 trigonal pyramid, and an edgeedge with one NPr3Si2 trigonal bipyramid. In the fifteenth N site, N is bonded to three Pr and two Si atoms to form distorted NPr3Si2 trigonal bipyramids that share a cornercorner with one NPr4Si square pyramid, a cornercorner with one NPr3Si tetrahedra, corners with two OPr3Si tetrahedra, corners with two OPr3Al trigonal pyramids, an edgeedge with one NPr4Si square pyramid, an edgeedge with one NPr3Si tetrahedra, an edgeedge with one NPr3Si2 trigonal bipyramid, and edges with two NPr3Si trigonal pyramids. In the sixteenth N site, N is bonded to three Pr and one Si atom to form distorted NPr3Si trigonal pyramids that share corners with two equivalent OPr3Si tetrahedra, corners with two equivalent NPr3Si2 trigonal bipyramids, an edgeedge with one NPr4Si square pyramid, edges with two equivalent NPr3Si2 trigonal bipyramids, and an edgeedge with one OPr3Al trigonal pyramid. In the seventeenth N site, N is bonded to four Pr and one Si atom to form distorted NPr4Si square pyramids that share corners with two equivalent OPr3Si tetrahedra, corners with two equivalent NPr3Si2 trigonal bipyramids, corners with two equivalent NPr2Si2 trigonal pyramids, edges with two equivalent NPr3Si tetrahedra, edges with two equivalent OPr3Si tetrahedra, edges with two

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pr6Fe13Ge by Materials Project

Pr6Fe13Ge crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Pr sites. In the first Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.00–3.31 Å. There are one shorter (3.31 Å) and one longer (3.35 Å) Pr–Ge bond lengths. In the second Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.02–3.36 Å. There are one shorter (3.31 Å) and one longer (3.34 Å) Pr–Ge bond lengths. In the third Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.00–3.32 Å. There are one shorter (3.31 Å) and one longer (3.33 Å) Pr–Ge bond lengths. In the fourth Pr site, Pr is bonded in a 1-coordinate geometry to twelve Fe and one Ge atom. There are a spread of Pr–Fe bond distances ranging from 3.06–3.28 Å. The Pr–Ge bond length is 3.29 Å. In the fifth Pr site, Pr is bonded in a 1-coordinate geometry to twelve Fe and one Ge atom. There are a spread of Pr–Fe bond distances ranging from 3.06–3.28 Å. The Pr–Ge bond length is 3.31 Å. In the sixth Pr site, Pr is bonded in a 1-coordinate geometry to twelve Fe and one Ge atom. There are a spread of Pr–Fe bond distances ranging from 3.05–3.27 Å. The Pr–Ge bond length is 3.30 Å. In the seventh Pr site, Pr is bonded in a 1-coordinate geometry to twelve Fe and one Ge atom. There are a spread of Pr–Fe bond distances ranging from 3.06–3.28 Å. The Pr–Ge bond length is 3.30 Å. In the eighth Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.02–3.34 Å. There are one shorter (3.31 Å) and one longer (3.34 Å) Pr–Ge bond lengths. In the ninth Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 2.99–3.30 Å. Both Pr–Ge bond lengths are 3.32 Å. In the tenth Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.01–3.34 Å. There are one shorter (3.30 Å) and one longer (3.35 Å) Pr–Ge bond lengths. In the eleventh Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.01–3.35 Å. There are one shorter (3.31 Å) and one longer (3.35 Å) Pr–Ge bond lengths. In the twelfth Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.00–3.33 Å. There are one shorter (3.31 Å) and one longer (3.34 Å) Pr–Ge bond lengths. There are twenty-six inequivalent Fe sites. In the first Fe site, Fe is bonded to five Pr and seven Fe atoms to form a mixture of distorted face and corner-sharing FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.52–2.66 Å. In the second Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FeFe12 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.42–2.66 Å. In the third Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.42–2.66 Å. In the fourth Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.41–2.67 Å. In the fifth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.46–2.75 Å. In the sixth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.46–2.75 Å. In the seventh Fe site, Fe is bonded to five Pr and seven Fe atoms to form distorted FePr5Fe7 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with fifteen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.52–2.56 Å. In the eighth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.46–2.75 Å. In the ninth Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.39–2.65 Å. In the tenth Fe site, Fe is bonded to five Pr and seven Fe atoms to form distorted FePr5Fe7 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with fifteen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.53–2.66 Å. In the eleventh Fe site, Fe is bonded to five Pr and seven Fe atoms to form a mixture of distorted face and corner-sharing FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.54–2.65 Å. In the twelfth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.76 Å. In the thirteenth Fe site, Fe is bonded to five Pr and seven Fe atoms to form distorted FePr5Fe7 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with fifteen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.53–2.66 Å. In the fourteenth Fe site, Fe is bonded to five Pr and seven Fe atoms to form a mixture of distorted face and corner-sharing FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.51–2.66 Å. In the fifteenth Fe site, Fe is bonded to twelve Fe atoms to form FeFe12 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with twelve FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.39–2.55 Å. In the sixteenth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.48–2.54 Å. In the seventeenth Fe site, Fe is bonded to five Pr and seven Fe atoms to form distorted FePr5Fe7 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with fifteen FePr5Fe7 cuboctahedra. The Fe–Fe bond length is 2.64 Å. In the eighteenth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.46–2.57 Å. In the nineteenth Fe site, Fe is bonded to five Pr and seven Fe atoms to form a mixture of distorted face and corner-sharing FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.52–2.56 Å. In the twentieth Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.38–2.57 Å. In the twenty-first Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are one shorter (2.40 Å) and one longer (2.50 Å) Fe–Fe bond lengths. In the twenty-second Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FeFe12 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. The Fe–Fe bond length is 2.57 Å. In the twenty-third Fe site, Fe is bonded to twelve Fe atoms to form a mixture of face and corner-sharing FeFe12 cuboctahedra. The Fe–Fe bond length is 2.45 Å. In the twenty-fourth Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are one shorter (2.49 Å) and one longer (2.56 Å) Fe–Fe bond lengths. In the twenty-fifth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. In the twenty-sixth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are two inequivalent Ge sites. In the first Ge site, Ge is bonded in a distorted q6 geometry to ten Pr atoms. In the second Ge site, Ge is bonded in a distorted q6 geometry to ten Pr atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ca2Pr19(CoI12)3 by Materials Project

Ca2Pr19(CoI12)3 is trigonal omega-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Ca is bonded to six I atoms to form CaI6 octahedra that share edges with six PrCoI5 octahedra. There are two shorter (3.15 Å) and four longer (3.16 Å) Ca–I bond lengths. There are ten inequivalent Pr sites. In the first Pr site, Pr is bonded to one Co and five I atoms to form PrCoI5 octahedra that share corners with three PrCoI5 octahedra, an edgeedge with one CaI6 octahedra, and edges with five PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. The Pr–Co bond length is 2.82 Å. There are a spread of Pr–I bond distances ranging from 3.20–3.49 Å. In the second Pr site, Pr is bonded to one Co and five I atoms to form PrCoI5 octahedra that share corners with three PrCoI5 octahedra, an edgeedge with one CaI6 octahedra, and edges with five PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. The Pr–Co bond length is 2.80 Å. There are a spread of Pr–I bond distances ranging from 3.21–3.51 Å. In the third Pr site, Pr is bonded to one Co and five I atoms to form a mixture of distorted edge and corner-sharing PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. The Pr–Co bond length is 2.79 Å. There are a spread of Pr–I bond distances ranging from 3.20–3.52 Å. In the fourth Pr site, Pr is bonded to one Co and five I atoms to form PrCoI5 octahedra that share corners with three PrCoI5 octahedra, an edgeedge with one CaI6 octahedra, and edges with five PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. The Pr–Co bond length is 2.82 Å. There are a spread of Pr–I bond distances ranging from 3.19–3.48 Å. In the fifth Pr site, Pr is bonded to one Co and five I atoms to form PrCoI5 octahedra that share corners with three PrCoI5 octahedra, an edgeedge with one CaI6 octahedra, and edges with five PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. The Pr–Co bond length is 2.81 Å. There are a spread of Pr–I bond distances ranging from 3.21–3.50 Å. In the sixth Pr site, Pr is bonded to one Co and five I atoms to form a mixture of edge and corner-sharing PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. The Pr–Co bond length is 2.80 Å. There are a spread of Pr–I bond distances ranging from 3.19–3.51 Å. In the seventh Pr site, Pr is bonded to one Co and five I atoms to form distorted PrCoI5 octahedra that share corners with three PrCoI5 octahedra, an edgeedge with one CaI6 octahedra, and edges with five PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. The Pr–Co bond length is 2.75 Å. There are a spread of Pr–I bond distances ranging from 3.21–3.53 Å. In the eighth Pr site, Pr is bonded to one Co and five I atoms to form distorted PrCoI5 octahedra that share corners with three PrCoI5 octahedra, an edgeedge with one CaI6 octahedra, and edges with five PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. The Pr–Co bond length is 2.77 Å. There are a spread of Pr–I bond distances ranging from 3.22–3.51 Å. In the ninth Pr site, Pr is bonded to one Co and five I atoms to form a mixture of distorted edge and corner-sharing PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. The Pr–Co bond length is 2.76 Å. There are a spread of Pr–I bond distances ranging from 3.20–3.51 Å. In the tenth Pr site, Pr is bonded to six I atoms to form edge-sharing PrI6 octahedra. All Pr–I bond lengths are 3.17 Å. There are two inequivalent Co sites. In the first Co site, Co is bonded in an octahedral geometry to six Pr atoms. In the second Co site, Co is bonded in an octahedral geometry to six Pr atoms. There are eighteen inequivalent I sites. In the first I site, I is bonded in a distorted T-shaped geometry to one Ca and two Pr atoms. In the second I site, I is bonded in a distorted T-shaped geometry to one Ca and two Pr atoms. In the third I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the fourth I site, I is bonded in a distorted T-shaped geometry to one Ca and two Pr atoms. In the fifth I site, I is bonded in a distorted T-shaped geometry to one Ca and two Pr atoms. In the sixth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the seventh I site, I is bonded in a distorted T-shaped geometry to one Ca and two Pr atoms. In the eighth I site, I is bonded in a distorted T-shaped geometry to one Ca and two Pr atoms. In the ninth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the tenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the eleventh I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the twelfth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the thirteenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the fourteenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the fifteenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the sixteenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the seventeenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the eighteenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pr6O11 by Materials Project

Pr6O11 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twelve inequivalent Pr+3.67+ sites. In the first Pr+3.67+ site, Pr+3.67+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.46–2.57 Å. In the second Pr+3.67+ site, Pr+3.67+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.40–2.60 Å. In the third Pr+3.67+ site, Pr+3.67+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.40–2.61 Å. In the fourth Pr+3.67+ site, Pr+3.67+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.43–2.71 Å. In the fifth Pr+3.67+ site, Pr+3.67+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.42–2.60 Å. In the sixth Pr+3.67+ site, Pr+3.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.35–2.48 Å. In the seventh Pr+3.67+ site, Pr+3.67+ is bonded to seven O2- atoms to form distorted PrO7 pentagonal bipyramids that share a cornercorner with one PrO7 hexagonal pyramid, a cornercorner with one PrO6 octahedra, edges with two PrO7 hexagonal pyramids, an edgeedge with one PrO6 octahedra, and edges with two equivalent PrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Pr–O bond distances ranging from 2.40–2.55 Å. In the eighth Pr+3.67+ site, Pr+3.67+ is bonded to seven O2- atoms to form distorted PrO7 hexagonal pyramids that share a cornercorner with one PrO6 octahedra, a cornercorner with one PrO7 pentagonal bipyramid, an edgeedge with one PrO7 hexagonal pyramid, an edgeedge with one PrO6 octahedra, and an edgeedge with one PrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Pr–O bond distances ranging from 2.40–2.49 Å. In the ninth Pr+3.67+ site, Pr+3.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.38–2.51 Å. In the tenth Pr+3.67+ site, Pr+3.67+ is bonded to seven O2- atoms to form distorted PrO7 hexagonal pyramids that share a cornercorner with one PrO6 octahedra, an edgeedge with one PrO7 hexagonal pyramid, an edgeedge with one PrO6 octahedra, and an edgeedge with one PrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of Pr–O bond distances ranging from 2.40–2.54 Å. In the eleventh Pr+3.67+ site, Pr+3.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.35–2.53 Å. In the twelfth Pr+3.67+ site, Pr+3.67+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing PrO6 octahedra. There are a spread of Pr–O bond distances ranging from 2.36–2.40 Å. There are twenty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the second O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the third O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pr32In3Rh19 by Materials Project

Pr32Rh19In3 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are thirteen inequivalent Pr sites. In the first Pr site, Pr is bonded in a 4-coordinate geometry to six Rh atoms. There are a spread of Pr–Rh bond distances ranging from 2.97–3.62 Å. In the second Pr site, Pr is bonded in a 6-coordinate geometry to five Rh and one In atom. There are a spread of Pr–Rh bond distances ranging from 3.03–3.62 Å. The Pr–In bond length is 3.49 Å. In the third Pr site, Pr is bonded in a 6-coordinate geometry to six Rh atoms. There are a spread of Pr–Rh bond distances ranging from 2.90–3.24 Å. In the fourth Pr site, Pr is bonded in a 6-coordinate geometry to five Rh and one In atom. There are a spread of Pr–Rh bond distances ranging from 2.93–3.09 Å. The Pr–In bond length is 3.40 Å. In the fifth Pr site, Pr is bonded in a 6-coordinate geometry to five Rh and one In atom. There are a spread of Pr–Rh bond distances ranging from 2.93–3.16 Å. The Pr–In bond length is 3.36 Å. In the sixth Pr site, Pr is bonded in a 6-coordinate geometry to six Rh atoms. There are a spread of Pr–Rh bond distances ranging from 2.90–3.25 Å. In the seventh Pr site, Pr is bonded in a 3-coordinate geometry to five Rh and one In atom. There are a spread of Pr–Rh bond distances ranging from 3.00–3.59 Å. The Pr–In bond length is 3.32 Å. In the eighth Pr site, Pr is bonded in a 3-coordinate geometry to five Rh and one In atom. There are a spread of Pr–Rh bond distances ranging from 3.01–3.60 Å. The Pr–In bond length is 3.33 Å. In the ninth Pr site, Pr is bonded in a 3-coordinate geometry to four Rh and two In atoms. There are a spread of Pr–Rh bond distances ranging from 3.01–3.43 Å. There are one shorter (3.36 Å) and one longer (3.57 Å) Pr–In bond lengths. In the tenth Pr site, Pr is bonded in a 6-coordinate geometry to five Rh and one In atom. There are a spread of Pr–Rh bond distances ranging from 3.00–3.60 Å. The Pr–In bond length is 3.32 Å. In the eleventh Pr site, Pr is bonded in a 4-coordinate geometry to four Rh atoms. There are two shorter (2.86 Å) and two longer (2.97 Å) Pr–Rh bond lengths. In the twelfth Pr site, Pr is bonded in a 4-coordinate geometry to four Rh atoms. There are two shorter (2.90 Å) and two longer (2.95 Å) Pr–Rh bond lengths. In the thirteenth Pr site, Pr is bonded in a 4-coordinate geometry to four Rh atoms. There are a spread of Pr–Rh bond distances ranging from 2.87–2.96 Å. There are nine inequivalent Rh sites. In the first Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr atoms. In the second Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr and one In atom. The Rh–In bond length is 3.51 Å. In the third Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr atoms. In the fourth Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr atoms. In the fifth Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr atoms. In the sixth Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr atoms. In the seventh Rh site, Rh is bonded in a 8-coordinate geometry to eight Pr and one In atom. The Rh–In bond length is 3.46 Å. In the eighth Rh site, Rh is bonded in a 10-coordinate geometry to ten Pr atoms. In the ninth Rh site, Rh is bonded in a 10-coordinate geometry to ten Pr atoms. There are two inequivalent In sites. In the first In site, In is bonded in a distorted body-centered cubic geometry to eight Pr and two equivalent Rh atoms. In the second In site, In is bonded in a 12-coordinate geometry to ten Pr and two equivalent Rh atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pr6Si3Ni2 by Materials Project

Pr6Ni2Si3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Pr sites. In the first Pr site, Pr is bonded in a 5-coordinate geometry to two equivalent Ni and three Si atoms. Both Pr–Ni bond lengths are 3.03 Å. There are two shorter (3.15 Å) and one longer (3.21 Å) Pr–Si bond lengths. In the second Pr site, Pr is bonded in a 5-coordinate geometry to three Ni and two equivalent Si atoms. There are two shorter (3.04 Å) and one longer (3.06 Å) Pr–Ni bond lengths. Both Pr–Si bond lengths are 3.19 Å. In the third Pr site, Pr is bonded in a 5-coordinate geometry to three Ni and two equivalent Si atoms. There are two shorter (3.01 Å) and one longer (3.12 Å) Pr–Ni bond lengths. Both Pr–Si bond lengths are 3.20 Å. In the fourth Pr site, Pr is bonded in a 5-coordinate geometry to four Ni and one Si atom. There are two shorter (3.02 Å) and two longer (3.16 Å) Pr–Ni bond lengths. The Pr–Si bond length is 3.18 Å. In the fifth Pr site, Pr is bonded in a 5-coordinate geometry to four Ni and one Si atom. There are two shorter (3.05 Å) and two longer (3.13 Å) Pr–Ni bond lengths. The Pr–Si bond length is 3.19 Å. In the sixth Pr site, Pr is bonded in a 5-coordinate geometry to two equivalent Ni and three Si atoms. Both Pr–Ni bond lengths are 3.03 Å. All Pr–Si bond lengths are 3.18 Å. In the seventh Pr site, Pr is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Pr–Si bond distances ranging from 3.12–3.26 Å. In the eighth Pr site, Pr is bonded in a 7-coordinate geometry to one Ni and six Si atoms. The Pr–Ni bond length is 3.22 Å. There are a spread of Pr–Si bond distances ranging from 3.14–3.30 Å. In the ninth Pr site, Pr is bonded in a 7-coordinate geometry to one Ni and six Si atoms. The Pr–Ni bond length is 3.17 Å. There are a spread of Pr–Si bond distances ranging from 3.14–3.29 Å. In the tenth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 3.35 Å. There are three shorter (3.15 Å) and two longer (3.22 Å) Pr–Si bond lengths. In the eleventh Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 3.23 Å. There are a spread of Pr–Si bond distances ranging from 3.15–3.32 Å. In the twelfth Pr site, Pr is bonded in a 7-coordinate geometry to four Ni and three Si atoms. There are two shorter (3.14 Å) and two longer (3.32 Å) Pr–Ni bond lengths. There are two shorter (3.09 Å) and one longer (3.24 Å) Pr–Si bond lengths. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded in a body-centered cubic geometry to six Pr and two equivalent Ni atoms. There are one shorter (2.28 Å) and one longer (2.29 Å) Ni–Ni bond lengths. In the second Ni site, Ni is bonded in a 9-coordinate geometry to eight Pr and one Si atom. The Ni–Si bond length is 2.44 Å. In the third Ni site, Ni is bonded in a 9-coordinate geometry to eight Pr and one Si atom. The Ni–Si bond length is 2.46 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are two shorter (2.47 Å) and one longer (2.48 Å) Si–Si bond lengths. In the second Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.54 Å. In the third Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Si atom. In the fourth Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Si atom. In the fifth Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Si atom. In the sixth Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Si atom.

36 MATERIALS SCIENCE↗