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Evaluation of the GaAs displacement damage metric using updated nuclear data

The emerging use of the physics-based athermal recombination-corrected displacement per atom (arc-dpa) model for the displacement damage efficiency has motivated a re-evaluation of the historical empirically-derived GaAs damage response function with the purpose of highlighting needs for future analytical and experimental work. The 1-MeV neutron damage equivalence methodology used in the ASTM E-722 standard for GaAs has been re-evaluated using updated nuclear data. This yielded a higher fidelity representation of the GaAs displacement kerma and, through the use of the refined PKA recoil energy-dependent damage efficiency model, an updated 1-MeV(GaAs) displacement damage function. This re-evaluation included use of the Norgett-Robinson-Torrens (NRT) model for an updated threshold treatment, rather than the sharp-threshold Kinchin-Pease model used in the current ASTM standard. The underlying nuclear data evaluations have been updated to use the ENDF/VIII.0 {sup 75}As and TENDL-2019 {sup 71}Ga/{sup 69}Ga evaluations. The displacement kerma and 1-MeV-equivalent damage responses were calculated using a modified NJOY-2016 code which allowed for refinements in some of the damage models. This paper shows that an updated displacement damage function, based upon the latest nuclear data, is consistent with the experimental data used to develop the current ASTM E-722 GaAs standard. Using a double ratio approach to compare the available experimental data with the calculated response, the average legacy double ratio was found to be 0.97 ± 0.05 and the average updated double ratio was found to be 0.94 ± 0.05. (authors)

36 MATERIALS SCIENCE↗

BISON Simulated and Experimental Fission Product Release Comparisons from Reradiated AGR-3/4 Compacts During High Temperature Heating Tests

The fuel performance modeling code BISON was used to predict the release of fission products iodine-131 (131I), xenon-133 (133Xe), and krypton-85 (85Kr) from four re-irradiated AGR-3/4 fuel compacts containing tristructural isotropic (TRISO) coated particles during high-temperature isothermal heating tests. The AGR-3/4 fuel compacts were irradiated in the Advanced Test Reactor (ATR) as part of the third and fourth series of planned experiments to support the Advanced Gas Reactor (AGR) Program. They were subsequently stored and re-irradiated in the Neutron Radiography (NRAD) reactor for approximately five days and then stored for another five to eight days before being subjected to isothermal heating tests in the Fuel Accident Condition Simulation (FACS furnace) for 200 to 300 hours at temperatures between 1000°C and 1600°C to evaluate fission product release at elevated temperatures. New nuclide-specific fission product source term models for the three nuclides of interest were developed using the reactor multiphysics code Griffin and implemented into BISON to support this work. The new source term models were incorporated into coupled compact- and particle-scale BISON simulations, which predict spatially- and temporally-resolved radionuclide generation, radioactive decay, transport, and release throughout the entire irradiation history, including the initial ATR irradiation, NRAD re-irradiations, FACS heating tests, and intermediate periods spent in storage. The experimentally measured fission product release from the heating tests were compared to modeling release predictions calculated by BISON to evaluate how well the code compares to experimental results. Overall, the experimental measured and BISON predicted comparative release results varied but generally agreed to within 5 particle equivalents. Comparative release results identified general observations to take into consideration to help refine future models and reduce uncertainties associated with both the measurement results and predictive results. This includes developing new uranium oxycarbide (UCO) specific kernel diffusivities for the three isotopes examined to more accurately reflect the material properties of the fuel form. Deriving new diffusivities will aid in producing a more informed BISON model

11 NUCLEAR FUEL CYCLE AND FUEL MATERIALS↗

Large Scale Granulator Development Designed to Process Reclaimed Feedstock for Sustainable Additive Manufacturing Applications

This CRADA between UT-Battelle, LLC (Contractor) and re:3D Inc. (Participant) aims to develop an affordable large-scale granulator system designed to process reclaimed plastic feedstock suitable for additive manufacturing applications. The 24-month project will focus on testing, prototyping, and optimizing a shredder/granulator system. This project also focuses on the processing steps (e.g. washing and sorting) that can convert waste plastics, like discarded water bottles, into flake/granules which can be 3D printed using re:3D’s Fused Granular Fabrication (FGF) 3D printers. If successful, this could enable more localized 3D printing using recycled plastics, reducing waste and feedstock costs.

Wang, Peter [Oak Ridge National Laboratory (ORNL),↗

Advanced Modeling and Simulation Methods for Evaluation of Thermal Neutron Scattering Materials

With the rise of interest in thermal neutron scattering data for advanced reactor, criticality safety, and shielding applications, new experimental data are required for evaluation of new materials or for re-evaluation (or validations) of previously evaluated materials. New experimental data are evaluated in a three-step process: (1) computing the phonon characteristics, (2) computing the dynamic structure factor (DSF) from the data, and (3) using the experimental setup to simulate the experimental data. All three steps have challenges, ranging from the need for a sufficiently general material simulation code—a processing code that can compute the corresponding DSF—to having a detailed layout of the instrument/beamline/facility where the data were measured. Whereas phonon characteristics of materials can be computed using various methods (molecular dynamics, density functional theory, etc.), a high-fidelity computation of the DSF and the simulation of the experiment based on the DSF is vital to the accuracy of the evaluation. The latter two steps can be achieved by using the two corresponding code systems developed by instrument scientists at the Spallation Neutron Source (SNS) at Oak Ridge National Laboratory: (1) OCLIMAX, a program that calculates the dynamic structure factor from DFT and MD simulation results, and (2) MCViNE, a Monte Carlo neutron ray-tracing program designed to simulate neutron scattering experiments. Recently, polyethylene and yttrium hydride were measured at the Wide Angular-Range Chopper (ARCS) and SEQUOIA instrument stations of the SNS. These experiments are simulated using the density functional theory code, the Cambridge Serial Total Energy Package (CASTEP), to compute its phonon characteristics (eigenvalues/vectors and PDOS), which is then processed using OCLIMAX to yield the DSF, and finally the data at each instrument station are simulated by the MCViNE for comparison to the measured data for evaluation. For comparison to conventional evaluation methods, the scattering data processed from OCLIMAX are compared against those processed from the LEAPR module of NJOY, and the results from MCViNE simulations are compared against previously used simplified beamline models implemented in the Monte Carlo N-Particle (MCNP) code.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗

Multiphysics Analyses of the Protected and Unprotected Loss of Forced Cooling Accidents in the HTR-PM

Here, we present the multiphysics simulation results for the protected pressurized and depressurized loss of forced cooling (PLOFC and DLOFC) events in the High-Temperature gas-cooled Reactor--Pebble-bed Module (HTR-PM) equilibrium core using the Griffin-Pronghorn coupled code system. Additionally, this paper discusses the strategy for estimating the spontaneous fission neutron source needed for unprotected events and re-criticality calculations. The solutions of the protected PLOFC and DLOFC events were verified against similar solutions obtained for temperature evolutions from the open literature. Both the average and maximum pebble surface temperatures behaved as expected during the DLOFC and remained below 1800 K. The PLOFC results are highly dependent on the ability to resolve the natural circulation in the core, which is impacted by the mesh resolution in Pronghorn. Furthermore, we present the results of the unprotected DLOFC transient to predict the timing of the re-criticality event, which occurred 47 hours after the onset of the transient, and the new steady-state power of 1.3 MW.

42 - ENGINEERING↗

Materials Data on Re3P4 by Materials Project

Re3P4 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Re4+ sites. In the first Re4+ site, Re4+ is bonded in a 6-coordinate geometry to six P3- atoms. There are a spread of Re–P bond distances ranging from 2.39–2.57 Å. In the second Re4+ site, Re4+ is bonded to six P3- atoms to form edge-sharing ReP6 octahedra. There are two shorter (2.42 Å) and four longer (2.43 Å) Re–P bond lengths. There are two inequivalent P3- sites. In the first P3- site, P3- is bonded in a 5-coordinate geometry to five Re4+ atoms. In the second P3- site, P3- is bonded in a 5-coordinate geometry to four Re4+ and one P3- atom. The P–P bond length is 2.51 Å.

36 MATERIALS SCIENCE↗

Materials Data on Gd2ReO5 by Materials Project

Gd2ReO5 crystallizes in the tetragonal P4/n space group. The structure is three-dimensional. Gd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Gd–O bond distances ranging from 2.29–2.67 Å. There are two inequivalent Re4+ sites. In the first Re4+ site, Re4+ is bonded in a square co-planar geometry to four equivalent O2- atoms. All Re–O bond lengths are 1.94 Å. In the second Re4+ site, Re4+ is bonded in a distorted square co-planar geometry to four equivalent O2- atoms. All Re–O bond lengths are 1.94 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to four equivalent Gd3+ atoms to form OGd4 tetrahedra that share corners with twelve equivalent OGd3Re tetrahedra and edges with two equivalent OGd4 tetrahedra. In the second O2- site, O2- is bonded to four equivalent Gd3+ atoms to form a mixture of edge and corner-sharing OGd4 tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three equivalent Gd3+ and one Re4+ atom. In the fourth O2- site, O2- is bonded to three equivalent Gd3+ and one Re4+ atom to form a mixture of distorted edge and corner-sharing OGd3Re tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sm2ReO5 by Materials Project

Sm2ReO5 crystallizes in the tetragonal P4/n space group. The structure is three-dimensional. Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.31–2.67 Å. There are two inequivalent Re4+ sites. In the first Re4+ site, Re4+ is bonded in a square co-planar geometry to four equivalent O2- atoms. All Re–O bond lengths are 1.94 Å. In the second Re4+ site, Re4+ is bonded in a distorted square co-planar geometry to four equivalent O2- atoms. All Re–O bond lengths are 1.94 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Sm3+ and one Re4+ atom to form a mixture of distorted edge and corner-sharing OSm3Re tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three equivalent Sm3+ and one Re4+ atom. In the third O2- site, O2- is bonded to four equivalent Sm3+ atoms to form OSm4 tetrahedra that share corners with twelve equivalent OSm3Re tetrahedra and edges with two equivalent OSm4 tetrahedra. In the fourth O2- site, O2- is bonded to four equivalent Sm3+ atoms to form OSm4 tetrahedra that share corners with four equivalent OSm3Re tetrahedra and edges with six OSm4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Eu2ReO5 by Materials Project

Eu2ReO5 crystallizes in the tetragonal P4/n space group. The structure is three-dimensional. Eu3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Eu–O bond distances ranging from 2.32–2.70 Å. There are two inequivalent Re4+ sites. In the first Re4+ site, Re4+ is bonded in a square co-planar geometry to four equivalent O2- atoms. All Re–O bond lengths are 1.90 Å. In the second Re4+ site, Re4+ is bonded in a square co-planar geometry to four equivalent O2- atoms. All Re–O bond lengths are 1.89 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to four equivalent Eu3+ atoms to form a mixture of corner and edge-sharing OEu4 tetrahedra. In the second O2- site, O2- is bonded to four equivalent Eu3+ atoms to form OEu4 tetrahedra that share corners with twelve equivalent OEu3Re tetrahedra and edges with two equivalent OEu4 tetrahedra. In the third O2- site, O2- is bonded in a 1-coordinate geometry to three equivalent Eu3+ and one Re4+ atom. In the fourth O2- site, O2- is bonded to three equivalent Eu3+ and one Re4+ atom to form a mixture of distorted corner and edge-sharing OEu3Re tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on HfReSi2 by Materials Project

HfReSi2 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. there are two inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in a 8-coordinate geometry to eight Si4- atoms. There are a spread of Hf–Si bond distances ranging from 2.74–2.94 Å. In the second Hf4+ site, Hf4+ is bonded to seven Si4- atoms to form HfSi7 pentagonal bipyramids that share corners with two equivalent ReSi6 octahedra, corners with two equivalent HfSi7 pentagonal bipyramids, edges with three equivalent HfSi7 pentagonal bipyramids, and faces with two equivalent ReSi6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Hf–Si bond distances ranging from 2.78–2.89 Å. There are two inequivalent Re4+ sites. In the first Re4+ site, Re4+ is bonded in a 6-coordinate geometry to six Si4- atoms. There are a spread of Re–Si bond distances ranging from 2.42–2.67 Å. In the second Re4+ site, Re4+ is bonded to six Si4- atoms to form distorted ReSi6 octahedra that share corners with two equivalent HfSi7 pentagonal bipyramids, edges with two equivalent ReSi6 octahedra, and faces with two equivalent HfSi7 pentagonal bipyramids. There are two shorter (2.53 Å) and four longer (2.55 Å) Re–Si bond lengths. There are five inequivalent Si4- sites. In the first Si4- site, Si4- is bonded in a 9-coordinate geometry to six Hf4+, two equivalent Re4+, and one Si4- atom. The Si–Si bond length is 2.40 Å. In the second Si4- site, Si4- is bonded in a 7-coordinate geometry to four equivalent Hf4+, two equivalent Re4+, and one Si4- atom. The Si–Si bond length is 2.41 Å. In the third Si4- site, Si4- is bonded in a 9-coordinate geometry to five Hf4+ and four Re4+ atoms. In the fourth Si4- site, Si4- is bonded in a 2-coordinate geometry to two equivalent Hf4+ and four Re4+ atoms. In the fifth Si4- site, Si4- is bonded in a 7-coordinate geometry to three Hf4+, three Re4+, and one Si4- atom. The Si–Si bond length is 2.35 Å.

36 MATERIALS SCIENCE↗

Materials Data on ReNClF5 by Materials Project

ReNClF5 crystallizes in the monoclinic P2_1/m space group. The structure is one-dimensional and consists of two ReNClF5 ribbons oriented in the (1, 0, 1) direction. Re3+ is bonded in a distorted octahedral geometry to one N3+ and five F1- atoms. The Re–N bond length is 1.75 Å. There are a spread of Re–F bond distances ranging from 1.88–1.94 Å. N3+ is bonded in a linear geometry to one Re3+ and one Cl1- atom. The N–Cl bond length is 1.57 Å. Cl1- is bonded in a distorted linear geometry to one N3+ and one F1- atom. The Cl–F bond length is 2.64 Å. There are three inequivalent F1- sites. In the first F1- site, F1- is bonded in a single-bond geometry to one Re3+ atom. In the second F1- site, F1- is bonded in a distorted single-bond geometry to one Re3+ and one Cl1- atom. In the third F1- site, F1- is bonded in a single-bond geometry to one Re3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on ReH12C4O5F by Materials Project

ReC4H12O5F is Silicon tetrafluoride-derived structured and crystallizes in the triclinic P-1 space group. The structure is zero-dimensional and consists of two ReC4H12O5F clusters. Re7+ is bonded in a 6-coordinate geometry to five O2- and one F1- atom. There are a spread of Re–O bond distances ranging from 1.73–2.37 Å. The Re–F bond length is 1.95 Å. There are four inequivalent C2- sites. In the first C2- site, C2- is bonded to three H1+ and one O2- atom to form corner-sharing CH3O tetrahedra. There is one shorter (1.09 Å) and two longer (1.10 Å) C–H bond length. The C–O bond length is 1.45 Å. In the second C2- site, C2- is bonded to three H1+ and one O2- atom to form corner-sharing CH3O tetrahedra. There is one shorter (1.09 Å) and two longer (1.10 Å) C–H bond length. The C–O bond length is 1.45 Å. In the third C2- site, C2- is bonded to three H1+ and one O2- atom to form corner-sharing CH3O tetrahedra. There is one shorter (1.09 Å) and two longer (1.10 Å) C–H bond length. The C–O bond length is 1.44 Å. In the fourth C2- site, C2- is bonded to three H1+ and one O2- atom to form corner-sharing CH3O tetrahedra. There is one shorter (1.09 Å) and two longer (1.10 Å) C–H bond length. The C–O bond length is 1.44 Å. There are twelve inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one C2- atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one C2- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one C2- atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one C2- atom. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one C2- atom. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one C2- atom. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one C2- atom. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one C2- atom. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one C2- atom. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one C2- atom. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one C2- atom. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one C2- atom. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Re7+ and two C2- atoms. In the second O2- site, O2- is bonded in a distorted water-like geometry to one Re7+ and two C2- atoms. In the third O2- site, O2- is bonded in a single-bond geometry to one Re7+ atom. In the fourth O2- site, O2- is bonded in a single-bond geometry to one Re7+ atom. In the fifth O2- site, O2- is bonded in a single-bond geometry to one Re7+ atom. F1- is bonded in a single-bond geometry to one Re7+ atom.

36 MATERIALS SCIENCE↗

Materials Data on ReCl4O by Materials Project

ReOCl4 crystallizes in the monoclinic P2_1/c space group. The structure is zero-dimensional and consists of eight ReOCl4 clusters. Re6+ is bonded in a 5-coordinate geometry to one O2- and four Cl1- atoms. The Re–O bond length is 1.69 Å. There are two shorter (2.28 Å) and two longer (2.29 Å) Re–Cl bond lengths. O2- is bonded in a single-bond geometry to one Re6+ atom. There are four inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a single-bond geometry to one Re6+ atom. In the second Cl1- site, Cl1- is bonded in a single-bond geometry to one Re6+ atom. In the third Cl1- site, Cl1- is bonded in a single-bond geometry to one Re6+ atom. In the fourth Cl1- site, Cl1- is bonded in a single-bond geometry to one Re6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on La2Re3B7 by Materials Project

La2Re3B7 is Magnesium tetraboride-derived structured and crystallizes in the orthorhombic Pcca space group. The structure is three-dimensional. La3+ is bonded in a 12-coordinate geometry to twelve B+2.14- atoms. There are a spread of La–B bond distances ranging from 2.77–3.37 Å. There are two inequivalent Re3+ sites. In the first Re3+ site, Re3+ is bonded in a 6-coordinate geometry to six B+2.14- atoms. There are a spread of Re–B bond distances ranging from 2.11–2.30 Å. In the second Re3+ site, Re3+ is bonded in a 8-coordinate geometry to eight B+2.14- atoms. There are a spread of Re–B bond distances ranging from 2.22–2.31 Å. There are four inequivalent B+2.14- sites. In the first B+2.14- site, B+2.14- is bonded in a 9-coordinate geometry to four equivalent La3+, two Re3+, and three B+2.14- atoms. There are a spread of B–B bond distances ranging from 1.68–1.86 Å. In the second B+2.14- site, B+2.14- is bonded in a 3-coordinate geometry to three equivalent La3+, three Re3+, and three B+2.14- atoms. There is one shorter (1.78 Å) and one longer (1.80 Å) B–B bond length. In the third B+2.14- site, B+2.14- is bonded in a 8-coordinate geometry to four equivalent La3+, two equivalent Re3+, and two equivalent B+2.14- atoms. In the fourth B+2.14- site, B+2.14- is bonded in a 8-coordinate geometry to three equivalent La3+, four Re3+, and one B+2.14- atom.

36 MATERIALS SCIENCE↗

Materials Data on ReNF6 by Materials Project

ReNF6 crystallizes in the monoclinic P2_1/c space group. The structure is zero-dimensional and consists of four ReNF6 clusters. Re3+ is bonded in a distorted octahedral geometry to one N3+ and five F1- atoms. The Re–N bond length is 1.74 Å. There is four shorter (1.88 Å) and one longer (1.91 Å) Re–F bond length. N3+ is bonded in a distorted linear geometry to one Re3+ and one F1- atom. The N–F bond length is 1.29 Å. There are six inequivalent F1- sites. In the first F1- site, F1- is bonded in a single-bond geometry to one N3+ atom. In the second F1- site, F1- is bonded in a single-bond geometry to one Re3+ atom. In the third F1- site, F1- is bonded in a single-bond geometry to one Re3+ atom. In the fourth F1- site, F1- is bonded in a single-bond geometry to one Re3+ atom. In the fifth F1- site, F1- is bonded in a single-bond geometry to one Re3+ atom. In the sixth F1- site, F1- is bonded in a single-bond geometry to one Re3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on ReBi3O8 by Materials Project

Bi3ReO8 crystallizes in the cubic P2_13 space group. The structure is three-dimensional. there are two inequivalent Re7+ sites. In the first Re7+ site, Re7+ is bonded in a tetrahedral geometry to four O2- atoms. All Re–O bond lengths are 1.76 Å. In the second Re7+ site, Re7+ is bonded in a tetrahedral geometry to four O2- atoms. There is three shorter (1.75 Å) and one longer (1.77 Å) Re–O bond length. There are two inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.20–3.06 Å. In the second Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.18–2.92 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the second O2- site, O2- is bonded in a single-bond geometry to one Re7+ atom. In the third O2- site, O2- is bonded in a single-bond geometry to one Re7+ and three equivalent Bi3+ atoms. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Re7+ and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the sixth O2- site, O2- is bonded in a single-bond geometry to one Re7+ and one Bi3+ atom. In the seventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to three equivalent Bi3+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three equivalent Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Re2PbO8 by Materials Project

Re2PbO8 crystallizes in the trigonal P31m space group. The structure is three-dimensional. there are two inequivalent Re7+ sites. In the first Re7+ site, Re7+ is bonded to four O2- atoms to form ReO4 tetrahedra that share corners with two equivalent PbO6 octahedra. The corner-sharing octahedral tilt angles are 21°. There are a spread of Re–O bond distances ranging from 1.73–1.77 Å. In the second Re7+ site, Re7+ is bonded to four O2- atoms to form ReO4 tetrahedra that share corners with two equivalent PbO6 octahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Re–O bond distances ranging from 1.74–1.77 Å. There are two inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.45 Å) and three longer (2.74 Å) Pb–O bond lengths. In the second Pb2+ site, Pb2+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six ReO4 tetrahedra. There are three shorter (2.51 Å) and three longer (2.60 Å) Pb–O bond lengths. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one Re7+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Re7+ and one Pb2+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Re7+ and one Pb2+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Re7+ and one Pb2+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Re7+ and one Pb2+ atom. In the sixth O2- site, O2- is bonded in a single-bond geometry to one Re7+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Pr2(ReB2)3 by Materials Project

Pr2Re3B6 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Pr3+ is bonded in a 10-coordinate geometry to ten B3- atoms. There are a spread of Pr–B bond distances ranging from 2.76–3.20 Å. There are two inequivalent Re4+ sites. In the first Re4+ site, Re4+ is bonded in a 8-coordinate geometry to eight B3- atoms. There are a spread of Re–B bond distances ranging from 2.26–2.42 Å. In the second Re4+ site, Re4+ is bonded in a 6-coordinate geometry to six B3- atoms. There are a spread of Re–B bond distances ranging from 2.14–2.31 Å. There are three inequivalent B3- sites. In the first B3- site, B3- is bonded in a 8-coordinate geometry to three equivalent Pr3+, four Re4+, and one B3- atom. The B–B bond length is 1.83 Å. In the second B3- site, B3- is bonded in a 9-coordinate geometry to four equivalent Pr3+, three Re4+, and two B3- atoms. There is one shorter (1.85 Å) and one longer (1.87 Å) B–B bond length. In the third B3- site, B3- is bonded in a 9-coordinate geometry to three equivalent Pr3+, three Re4+, and three B3- atoms. The B–B bond length is 1.81 Å.

36 MATERIALS SCIENCE↗