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Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

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All sourcesNASA NTRSDOE OSTI
DOE OSTI2020

A Hierarchical Volt-var Optimization with Discrete Variables in Unbalanced Distribution Systems

This paper proposes a framework to determine the optimal active and reactive power dispatch of distributed photovoltaic (PV) generation, switched capacitors, and voltage regulators in multi-phase unbalanced distribution systems. The objectives of the optimal dispatch are minimization of the energy loss, PV real power curtailment, and switching operations of capacitors and voltage regulators, in addition to elimination of voltage violation and reverse power flow. The optimization problem is formulated in rectangular coordinates as a nonlinear, nonconvex problem with discrete variables. A hierarchical twostage framework is proposed to effectively handle those discrete variables and reduce the computational time compared to the unified approach in which all variables are solved simultaneously. The efficacy of the proposed approach and the accuracy of the obtained numerical solution is validated using the unbalanced multi-phase IEEE 34-bus with 15-minute load and PV data.

Nguyen, Quan H.↗
DOE OSTI2020

Estimation Matrix Calibration of PMU Data-driven State Estimation Using Neural Network

Linear state estimation (LSE) is a phasor measurement unit (PMU) data-based power system state estimation that incorporates a linear measurement model in rectangular coordinates. Due to the high computational efficiency and high observational time-resolution, LSE can act as a supplementary state estimation in a wide-area monitoring system (WAMS). The performance of LSE is relatively sensitive to noises in measurements. Therefore, the estimation accuracy relies heavily on the accuracy of the estimation matrix, which is directly influenced by the measurement weight matrix. This paper proposes two novel calibration method of the estimation matrix using neural networks. One is based on the minimum absolute network loss (ANL), and the other is based on the minimum average squared network loss (ASNL). Both methods are tested and compared with LSE algorithms on the IEEE 14-bus system

neural network↗
DOE OSTI2020

Thermal Overloading Risk Mitigation With a Semi-Analytical Probabilistic Model on Branch Current

A semi-analytical formulation is presented in this paper for the probability computation of branch current in multiphase systems. The developed formula is derived based on the linear power flow model in rectangular coordinates. The system uncertainty injections can be renewable energy resources or loads and are modeled using a Gaussian mixture model (GMM). The developed formula can be used to compute the line current violation probability as well as integrate into optimal power flow problem as chance-constraint relaxation. Here, the proposed formula is first compared with the Matlab embedded numerical integration function to show its performance. Besides, the semi-analytical formula is validated and compared with the Monte Carlo simulation method using the IEEE 123-bus system, EPRI Ckt5, and Ckt7 systems.

24 POWER TRANSMISSION AND DISTRIBUTION↗
DOE OSTI2021

Ensemble Learning Based Convex Approximation of Three-Phase Power Flow

Though the convex optimization has been widely used in power systems, it still cannot guarantee to yield a tight (accurate) solution to some problems. To mitigate this issue, this paper proposes an ensemble learning based convex approximation for alternating current (AC) power flow equations that differs from the existing convex relaxations. The proposed approach is based on three-phase quadratic power flow equations in rectangular coordinates. To develop this data-driven convex approximation of power flows, the polynomial regression (PR) is first deployed as a basic learner to fit convex relationships between the independent and dependent variables. Then, ensemble learning algorithms such as gradient boosting (GB) and bagging are introduced to combine learners to boost model performance. Based on the learned convex approximation of power flow, optimal power flow (OPF) is formulated as a convex quadratic programming problem. The simulation results on IEEE standard cases of both balanced and unbalanced systems show that, in the context of solving OPF, the proposed data-driven convex approximation outperforms the conventional semi-definite programming (SDP) relaxation in both accuracy and computational efficiency, especially in the cases that the conventional SDP relaxation fails

Convex approximation↗
DOE OSTI2022

The Bouger's Law Shell Ionospheric Transfer Function

Ionospheric transfer function (ITF) algorithms determine the effects of the ionosphere on an electromagnetic (EM) radio-frequency (RF) signal as it propagates through. In this report, the Bouger’s law shell model is outlined. This ITF is very similar to the Snell’s Law Shell ITF; however, in this formulation, plasma parameters in the ionosphere are allowed to change radially. This algorithm is expressed in the frequency domain. In this way, it is applied as linear time invariant (LTI) filter function. Signals in this report are assumed to have only a single component (i.e. x, y or z in a rectangular coordinate system). Multi-component signals can be treated simply by applying the specific ITF to each component separately.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
DOE OSTI2020

A Relaxed PV Bus Model in Linear Power Flow

The emerging multimodal active energy resource units make it necessary to introduce constant voltage amplitude buses (PV bus) in the operation of modern distribution systems. To enable the analysis of PV bus using linear power flow models, this letter proposes a relaxed PV bus model for solving power flow related problems using an indirect modeling approach. The developed PV bus model can be applied to linear power flow models in both rectangular and polar coordinates. Besides, the approximation error of the relaxed PV bus model can also be controlled and quantified. Lastly, the proposed relaxed PV bus model is validated using different test systems. According to the numerical studies, the maximum error on the PV bus approximation in all case studies is only 0.61%, and the maximum error of the supporting power at the PV buses is 6.5%.

24 POWER TRANSMISSION AND DISTRIBUTION↗
DOE OSTI2020

Materials Data on K6Al32O51 by Materials Project

K6Al32O51 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent K sites. In the first K site, K is bonded in a 1-coordinate geometry to five O atoms. There are a spread of K–O bond distances ranging from 2.70–3.11 Å. In the second K site, K is bonded in a 5-coordinate geometry to five O atoms. There are a spread of K–O bond distances ranging from 2.52–3.08 Å. In the third K site, K is bonded in a 1-coordinate geometry to five O atoms. There are a spread of K–O bond distances ranging from 2.69–3.11 Å. In the fourth K site, K is bonded in a 5-coordinate geometry to five O atoms. There are a spread of K–O bond distances ranging from 2.52–3.08 Å. There are nineteen inequivalent Al sites. In the first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.94 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.03 Å. In the third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.03 Å. In the fourth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.02 Å. In the fifth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.95 Å. In the sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–59°. There is three shorter (1.81 Å) and one longer (1.85 Å) Al–O bond length. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–54°. There is three shorter (1.77 Å) and one longer (1.78 Å) Al–O bond length. In the eighth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–55°. There is one shorter (1.76 Å) and three longer (1.80 Å) Al–O bond length. In the ninth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–58°. There is one shorter (1.78 Å) and three longer (1.83 Å) Al–O bond length. In the tenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–2.10 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–2.10 Å. In the twelfth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.03 Å. In the thirteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–63°. There are a spread of Al–O bond distances ranging from 1.80–1.94 Å. In the fourteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–59°. There is one shorter (1.79 Å) and three longer (1.83 Å) Al–O bond length. In the fifteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–55°. There is one shorter (1.67 Å) and three longer (1.82 Å) Al–O bond length. In the sixteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.05 Å. In the seventeenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–2.11 Å. In the eighteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.02 Å. In the nineteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.05 Å. There are thirty inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one K and three Al atoms. In the second O site, O is bonded in a 3-coordinate geometry to one K and three Al atoms. In the third O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the sixth O site, O is bonded in a distorted tetrahedral geometry to one K and three Al atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eighth O site, O is bonded in a distorted tetrahedral geometry to one K and three Al atoms. In the ninth O site, O is bonded in a linear geometry to two Al atoms. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eleventh O site, O is bonded in a 4-coordinate geometry to one K and three Al atoms. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirteenth O site, O is bonded in a 3-coordinate geometry to one K and three Al atoms. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one K and two Al atoms. In the sixteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the seventeenth O site, O is bonded in a 3-coordinate geometry to one K and three Al atoms. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the nineteenth O site, O is bonded in a 4-coordinate geometry to one K and three Al atoms. In the twentieth O site, O is bonded in a single-bond geometry to six K and one Al atom. In the twenty-first O site, O is bonded in a distorted tetrahedral geometry to one K and three Al atoms. In the twenty-second O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-third O site, O is bonded in a 3-coordinate geometry to one K and three Al atoms. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-fifth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-seventh O site, O is bonded in a distorted trigonal non-coplanar geometry to one K and two equivalent Al atoms. In the twenty-eighth O site, O is bonded in a distorted tetrahedral geometry to one K and three Al atoms. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirtieth O site, O is bonded in a 4-coordinate geometry to one K and three Al atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Nb3S5 by Materials Project

Nb3S5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Nb+3.33+ sites. In the first Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of Nb–S bond distances ranging from 2.48–2.55 Å. In the second Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Nb–S bond distances ranging from 2.47–2.54 Å. In the third Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 10–47°. There are a spread of Nb–S bond distances ranging from 2.42–2.54 Å. In the fourth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and face-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.46–2.53 Å. In the fifth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 12–46°. There are a spread of Nb–S bond distances ranging from 2.43–2.51 Å. In the sixth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and face-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.47–2.52 Å. In the seventh Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Nb–S bond distances ranging from 2.48–2.55 Å. In the eighth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Nb–S bond distances ranging from 2.48–2.54 Å. In the ninth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 10–46°. There are a spread of Nb–S bond distances ranging from 2.45–2.53 Å. In the tenth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 10–46°. There are a spread of Nb–S bond distances ranging from 2.44–2.54 Å. In the eleventh Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing NbS6 octahedra. There are a spread of Nb–S bond distances ranging from 2.37–2.58 Å. In the twelfth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing NbS6 octahedra. There are a spread of Nb–S bond distances ranging from 2.39–2.60 Å. There are twenty inequivalent S2- sites. In the first S2- site, S2- is bonded to four Nb+3.33+ atoms to form distorted corner-sharing SNb4 trigonal pyramids. In the second S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the fifth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Nb+3.33+ atoms. In the eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the twelfth S2- site, S2- is bonded to four Nb+3.33+ atoms to form a mixture of distorted edge and corner-sharing SNb4 trigonal pyramids. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the fourteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the fifteenth S2- site, S2- is bonded to four Nb+3.33+ atoms to form distorted edge-sharing SNb4 trigonal pyramids. In the sixteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the eighteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the nineteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the twentieth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Nb+3.33+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ta27S50 by Materials Project

Ta27S50 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Ta+3.70+ sites. In the first Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.46–2.55 Å. In the second Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.45–2.53 Å. In the third Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.50 Å. In the fourth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.54 Å. In the fifth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ta–S bond distances ranging from 2.47–2.49 Å. In the sixth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.46–2.54 Å. In the seventh Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted edge and face-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.51 Å. In the eighth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ta–S bond distances ranging from 2.46–2.55 Å. In the ninth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ta–S bond distances ranging from 2.46–2.53 Å. In the tenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 13°. There are two shorter (2.47 Å) and four longer (2.48 Å) Ta–S bond lengths. In the eleventh Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.54 Å. In the twelfth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 12°. There are a spread of Ta–S bond distances ranging from 2.46–2.49 Å. In the thirteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.54 Å. In the fourteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.55 Å. In the fifteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.46–2.55 Å. In the sixteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 14–44°. There are a spread of Ta–S bond distances ranging from 2.45–2.52 Å. In the seventeenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted edge and face-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.51 Å. In the eighteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ta–S bond distances ranging from 2.46–2.53 Å. In the nineteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.50 Å. In the twentieth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 13–45°. There are a spread of Ta–S bond distances ranging from 2.46–2.52 Å. In the twenty-first Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.55 Å. In the twenty-second Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ta–S bond distances ranging from 2.46–2.49 Å. In the twenty-third Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.38–2.62 Å. In the twenty-fourth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ta–S bond distances ranging from 2.47–2.55 Å. In the twenty-fifth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Ta–S bond distances ranging from 2.46–2.53 Å. In the twenty-sixth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.46–2.54 Å. In the twenty-seventh Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.38–2.60 Å. There are fifty inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the second S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the fourth S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the seventh S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the eighth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the tenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the eleventh S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twelfth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the thirteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the fourteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the fifteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the sixteenth S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the eighteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the nineteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twentieth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twenty-first S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the twenty-second S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the twenty-third S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the twenty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twenty-fifth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twenty-sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the twenty-seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the twenty-eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the twenty-ninth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the thirtieth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the thirty-first S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the thirty-second S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the thirty-third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the thirty-fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the thirty-fifth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the thirty-sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the thirty-seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the thirty-eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the thirty-ninth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the fortieth S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the forty-first S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the forty-second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the forty-third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the forty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the forty-fifth S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the forty-sixth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the forty-seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the forty-eighth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the forty-ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the fiftieth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti2(Mo3Se4)5 by Materials Project

Ti2(Mo3Se4)5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six Se2- atoms to form distorted TiSe6 octahedra that share corners with eight MoSe5 square pyramids, edges with four MoSe5 square pyramids, and faces with two MoSe5 square pyramids. There are a spread of Ti–Se bond distances ranging from 2.47–3.09 Å. In the second Ti4+ site, Ti4+ is bonded to six Se2- atoms to form distorted TiSe6 octahedra that share corners with eight MoSe5 square pyramids, edges with four MoSe5 square pyramids, and faces with two MoSe5 square pyramids. There are a spread of Ti–Se bond distances ranging from 2.48–3.09 Å. There are fifteen inequivalent Mo+2.13+ sites. In the first Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of Mo–Se bond distances ranging from 2.53–2.73 Å. In the second Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, an edgeedge with one TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.56–2.74 Å. In the third Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one TiSe6 octahedra. There are a spread of Mo–Se bond distances ranging from 2.58–2.66 Å. In the fourth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of Mo–Se bond distances ranging from 2.56–2.67 Å. In the fifth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, an edgeedge with one TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.57–2.77 Å. In the sixth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of Mo–Se bond distances ranging from 2.53–2.71 Å. In the seventh Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with two equivalent TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Mo–Se bond distances ranging from 2.57–2.72 Å. In the eighth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with two TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.58–2.80 Å. In the ninth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one TiSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mo–Se bond distances ranging from 2.57–2.70 Å. In the tenth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one TiSe6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Mo–Se bond distances ranging from 2.57–2.66 Å. In the eleventh Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with two TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.58–2.78 Å. In the twelfth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 16–57°. There are a spread of Mo–Se bond distances ranging from 2.59–2.72 Å. In the thirteenth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three equivalent TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 18–55°. There are a spread of Mo–Se bond distances ranging from 2.57–2.72 Å. In the fourteenth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with two equivalent TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.57–2.79 Å. In the fifteenth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one TiSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mo–Se bond distances ranging from 2.57–2.70 Å. There are twenty inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the second Se2- site, Se2- is bonded in a 1-coordinate geometry to one Ti4+ and three Mo+2.13+ atoms. In the third Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the fourth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the fifth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the sixth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the seventh Se2- site, Se2- is bonded in a 6-coordinate geometry to three Mo+2.13+ atoms. In the eighth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo+2.13+ atoms. In the ninth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the tenth Se2- site, Se2- is bonded in a 4-coordinate geometry to one Ti4+ and three Mo+2.13+ atoms. In the eleventh Se2- site, Se2- is bonded in a 1-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the twelfth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the thirteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the fourteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the fifteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to one Ti4+ and three Mo+2.13+ atoms. In the sixteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the seventeenth Se2- site, Se2- is bonded in a 1-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the eighteenth Se2- site, Se2- is bonded in a 1-coordinate geometry to one Ti4+ and three Mo+2.13+ atoms. In the nineteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the twentieth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti2Te3 by Materials Project

Ti2Te3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six Te2- atoms to form a mixture of corner, edge, and face-sharing TiTe6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Ti–Te bond distances ranging from 2.75–2.96 Å. In the second Ti3+ site, Ti3+ is bonded to six Te2- atoms to form a mixture of corner and edge-sharing TiTe6 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Ti–Te bond distances ranging from 2.69–2.89 Å. In the third Ti3+ site, Ti3+ is bonded to six Te2- atoms to form a mixture of corner, edge, and face-sharing TiTe6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Ti–Te bond distances ranging from 2.75–2.95 Å. In the fourth Ti3+ site, Ti3+ is bonded to six Te2- atoms to form a mixture of corner, edge, and face-sharing TiTe6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–Te bond distances ranging from 2.78–2.82 Å. There are six inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a distorted rectangular see-saw-like geometry to four Ti3+ atoms. In the second Te2- site, Te2- is bonded in a 3-coordinate geometry to three Ti3+ atoms. In the third Te2- site, Te2- is bonded in a distorted rectangular see-saw-like geometry to four Ti3+ atoms. In the fourth Te2- site, Te2- is bonded in a distorted rectangular see-saw-like geometry to four Ti3+ atoms. In the fifth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Ti3+ atoms. In the sixth Te2- site, Te2- is bonded in a distorted rectangular see-saw-like geometry to four Ti3+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Fe2NiO4 by Materials Project

NiFe2O4 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four NiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 48–65°. There are a spread of Fe–O bond distances ranging from 1.80–2.07 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three NiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.83–2.23 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three NiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.83–2.25 Å. In the fourth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–68°. There are a spread of Fe–O bond distances ranging from 1.78–2.07 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four NiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–65°. There are a spread of Fe–O bond distances ranging from 1.78–2.04 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three NiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.84–2.26 Å. In the seventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–66°. There are a spread of Fe–O bond distances ranging from 1.79–2.06 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent NiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.84–2.27 Å. In the ninth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–67°. There are a spread of Fe–O bond distances ranging from 1.79–2.06 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one NiO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.86–2.24 Å. In the eleventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 47–66°. There are a spread of Fe–O bond distances ranging from 1.80–2.10 Å. In the twelfth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–67°. There are a spread of Fe–O bond distances ranging from 1.78–2.09 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.84–2.24 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.85–2.17 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.85–2.25 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four NiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–68°. There are a spread of Fe–O bond distances ranging from 1.83–2.07 Å. In the seventeenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.79–2.19 Å. In the eighteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent NiO4 tetrahedra, corners with four FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.87–2.33 Å. In the nineteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.81–2.20 Å. In the twentieth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent NiO4 tetrahedra, corners with four FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.80–2.28 Å. There are ten inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of Ni–O bond distances ranging from 1.83–2.07 Å. In the second Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with two NiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 48–67°. There are a spread of Ni–O bond distances ranging from 1.89–2.14 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent NiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.83–2.36 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two equivalent NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.89–2.33 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share a cornercorner with one NiO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two equivalent NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.85–2.34 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.89–2.31 Å. In the seventh Ni2+ site, Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.89–2.33 Å. In the eighth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.88–2.32 Å. In the ninth Ni2+ site, Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.88–2.34 Å. In the tenth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–2.33 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Fe3+ and one Ni2+ atom. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Fe3+ and one Ni2+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Fe3+ and one Ni2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Fe3+ and two Ni2+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Fe3+ and three Ni2+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Fe3+ and two Ni2+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Fe3+ and two Ni2+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to th

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Rb(Cr5Te8)3 by Materials Project

Rb(Cr5Te8)3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Rb1+ is bonded in a distorted q6 geometry to ten Te2- atoms. There are a spread of Rb–Te bond distances ranging from 3.83–4.06 Å. There are eight inequivalent Cr+3.13+ sites. In the first Cr+3.13+ site, Cr+3.13+ is bonded to six Te2- atoms to form a mixture of edge, face, and corner-sharing CrTe6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–Te bond distances ranging from 2.68–2.86 Å. In the second Cr+3.13+ site, Cr+3.13+ is bonded to six Te2- atoms to form a mixture of edge, face, and corner-sharing CrTe6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–Te bond distances ranging from 2.68–2.86 Å. In the third Cr+3.13+ site, Cr+3.13+ is bonded to six Te2- atoms to form a mixture of edge, face, and corner-sharing CrTe6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–Te bond distances ranging from 2.68–2.86 Å. In the fourth Cr+3.13+ site, Cr+3.13+ is bonded to six Te2- atoms to form a mixture of edge, face, and corner-sharing CrTe6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Cr–Te bond distances ranging from 2.70–2.83 Å. In the fifth Cr+3.13+ site, Cr+3.13+ is bonded to six Te2- atoms to form a mixture of edge, face, and corner-sharing CrTe6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Cr–Te bond distances ranging from 2.68–2.81 Å. In the sixth Cr+3.13+ site, Cr+3.13+ is bonded to six Te2- atoms to form a mixture of edge, face, and corner-sharing CrTe6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Cr–Te bond distances ranging from 2.69–2.82 Å. In the seventh Cr+3.13+ site, Cr+3.13+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing CrTe6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Cr–Te bond distances ranging from 2.73–2.75 Å. In the eighth Cr+3.13+ site, Cr+3.13+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing CrTe6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are two shorter (2.73 Å) and four longer (2.74 Å) Cr–Te bond lengths. There are twelve inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a rectangular see-saw-like geometry to four Cr+3.13+ atoms. In the second Te2- site, Te2- is bonded in a 4-coordinate geometry to one Rb1+ and four Cr+3.13+ atoms. In the third Te2- site, Te2- is bonded in a rectangular see-saw-like geometry to four Cr+3.13+ atoms. In the fourth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Cr+3.13+ atoms. In the fifth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Cr+3.13+ atoms. In the sixth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Cr+3.13+ atoms. In the seventh Te2- site, Te2- is bonded in a 4-coordinate geometry to one Rb1+ and three Cr+3.13+ atoms. In the eighth Te2- site, Te2- is bonded in a 4-coordinate geometry to one Rb1+ and three Cr+3.13+ atoms. In the ninth Te2- site, Te2- is bonded in a 3-coordinate geometry to three Cr+3.13+ atoms. In the tenth Te2- site, Te2- is bonded in a distorted rectangular see-saw-like geometry to one Rb1+ and three Cr+3.13+ atoms. In the eleventh Te2- site, Te2- is bonded in a 3-coordinate geometry to three Cr+3.13+ atoms. In the twelfth Te2- site, Te2- is bonded in a distorted rectangular see-saw-like geometry to one Rb1+ and three Cr+3.13+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pr12Si5Se28 by Materials Project

Pr12Si5Se28 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to seven Se2- atoms. There are a spread of Pr–Se bond distances ranging from 2.94–3.21 Å. In the second Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Pr–Se bond distances ranging from 3.00–3.21 Å. In the third Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Pr–Se bond distances ranging from 3.00–3.19 Å. In the fourth Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to eight Se2- atoms. There are a spread of Pr–Se bond distances ranging from 2.93–3.63 Å. In the fifth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Pr–Se bond distances ranging from 2.97–3.22 Å. In the sixth Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to seven Se2- atoms. There are a spread of Pr–Se bond distances ranging from 2.94–3.21 Å. In the seventh Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Pr–Se bond distances ranging from 3.00–3.32 Å. In the eighth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Pr–Se bond distances ranging from 2.92–3.34 Å. In the ninth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Pr–Se bond distances ranging from 2.93–3.32 Å. In the tenth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Pr–Se bond distances ranging from 3.01–3.31 Å. In the eleventh Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Pr–Se bond distances ranging from 2.94–3.33 Å. In the twelfth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Pr–Se bond distances ranging from 3.01–3.32 Å. There are five inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a tetrahedral geometry to four Se2- atoms. There are a spread of Si–Se bond distances ranging from 2.26–2.31 Å. In the second Si4+ site, Si4+ is bonded in a tetrahedral geometry to four Se2- atoms. There are a spread of Si–Se bond distances ranging from 2.26–2.32 Å. In the third Si4+ site, Si4+ is bonded in a tetrahedral geometry to four Se2- atoms. There are a spread of Si–Se bond distances ranging from 2.27–2.32 Å. In the fourth Si4+ site, Si4+ is bonded in a tetrahedral geometry to four Se2- atoms. There are a spread of Si–Se bond distances ranging from 2.26–2.32 Å. In the fifth Si4+ site, Si4+ is bonded in an octahedral geometry to six Se2- atoms. There are a spread of Si–Se bond distances ranging from 2.50–2.59 Å. There are twenty-eight inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to three Pr3+ and one Si4+ atom to form distorted corner-sharing SePr3Si tetrahedra. In the second Se2- site, Se2- is bonded to three Pr3+ and one Si4+ atom to form distorted corner-sharing SePr3Si tetrahedra. In the third Se2- site, Se2- is bonded to three Pr3+ and one Si4+ atom to form distorted corner-sharing SePr3Si tetrahedra. In the fourth Se2- site, Se2- is bonded to three Pr3+ and one Si4+ atom to form distorted corner-sharing SePr3Si tetrahedra. In the fifth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the sixth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the seventh Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Pr3+ and one Si4+ atom. In the eighth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the ninth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the tenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Pr3+ and one Si4+ atom. In the eleventh Se2- site, Se2- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the twelfth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Pr3+ and one Si4+ atom. In the thirteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the fourteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the fifteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Pr3+ and one Si4+ atom. In the sixteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the seventeenth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Pr3+ and one Si4+ atom. In the eighteenth Se2- site, Se2- is bonded to four Pr3+ atoms to form distorted SePr4 trigonal pyramids that share corners with four SePr3Si tetrahedra, corners with two SePr4 trigonal pyramids, and an edgeedge with one SePr4 trigonal pyramid. In the nineteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Pr3+ and one Si4+ atom. In the twentieth Se2- site, Se2- is bonded to four Pr3+ atoms to form distorted SePr4 trigonal pyramids that share corners with four SePr3Si tetrahedra, corners with two SePr4 trigonal pyramids, and an edgeedge with one SePr4 trigonal pyramid. In the twenty-first Se2- site, Se2- is bonded to four Pr3+ atoms to form distorted SePr4 trigonal pyramids that share corners with four SePr3Si tetrahedra and corners with two SePr4 trigonal pyramids. In the twenty-second Se2- site, Se2- is bonded in a 5-coordinate geometry to four Pr3+ and one Si4+ atom. In the twenty-third Se2- site, Se2- is bonded in a 4-coordinate geometry to four Pr3+ atoms. In the twenty-fourth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Pr3+ and one Si4+ atom. In the twenty-fifth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Pr3+ atoms. In the twenty-sixth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the twenty-seventh Se2- site, Se2- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the twenty-eighth Se2- site, Se2- is bonded to four Pr3+ atoms to form distorted SePr4 trigonal pyramids that share corners with four SePr3Si tetrahedra and edges with two SePr4 trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on V(MoS2)2 by Materials Project

VMo2S4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to five S2- atoms to form distorted VS5 square pyramids that share a cornercorner with one VS6 octahedra, corners with three MoS6 octahedra, an edgeedge with one VS6 octahedra, an edgeedge with one MoS6 octahedra, an edgeedge with one VS5 trigonal bipyramid, and an edgeedge with one MoS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 20–88°. There are a spread of V–S bond distances ranging from 2.32–2.44 Å. In the second V4+ site, V4+ is bonded to five S2- atoms to form distorted VS5 trigonal bipyramids that share a cornercorner with one VS6 octahedra, corners with four MoS6 octahedra, a cornercorner with one VS5 trigonal bipyramid, a cornercorner with one MoS5 trigonal bipyramid, an edgeedge with one VS6 octahedra, an edgeedge with one MoS6 octahedra, and edges with two MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 32–67°. There are a spread of V–S bond distances ranging from 2.29–2.49 Å. In the third V4+ site, V4+ is bonded to five S2- atoms to form VS5 trigonal bipyramids that share a cornercorner with one VS6 octahedra, corners with four MoS6 octahedra, a cornercorner with one VS5 trigonal bipyramid, a cornercorner with one MoS5 trigonal bipyramid, edges with two MoS6 octahedra, and an edgeedge with one VS5 square pyramid. The corner-sharing octahedra tilt angles range from 40–61°. There are a spread of V–S bond distances ranging from 2.30–2.38 Å. In the fourth V4+ site, V4+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of V–S bond distances ranging from 2.27–2.77 Å. In the fifth V4+ site, V4+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with three MoS6 octahedra, a cornercorner with one VS5 square pyramid, corners with two VS5 trigonal bipyramids, corners with two equivalent MoS5 trigonal bipyramids, an edgeedge with one MoS6 octahedra, edges with two MoS5 square pyramids, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one MoS6 octahedra. The corner-sharing octahedra tilt angles range from 22–33°. There are a spread of V–S bond distances ranging from 2.38–2.68 Å. In the sixth V4+ site, V4+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of V–S bond distances ranging from 2.26–2.80 Å. In the seventh V4+ site, V4+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of V–S bond distances ranging from 2.25–2.84 Å. In the eighth V4+ site, V4+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with two equivalent MoS6 octahedra, a cornercorner with one MoS5 square pyramid, a cornercorner with one MoS5 trigonal bipyramid, edges with three MoS6 octahedra, and an edgeedge with one VS5 square pyramid. The corner-sharing octahedra tilt angles range from 13–15°. There are a spread of V–S bond distances ranging from 2.30–2.57 Å. There are sixteen inequivalent Mo2+ sites. In the first Mo2+ site, Mo2+ is bonded to six S2- atoms to form MoS6 octahedra that share a cornercorner with one MoS6 octahedra, corners with two equivalent VS6 octahedra, a cornercorner with one MoS5 square pyramid, a cornercorner with one VS5 trigonal bipyramid, a cornercorner with one MoS5 trigonal bipyramid, an edgeedge with one MoS5 square pyramid, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one MoS6 octahedra. The corner-sharing octahedra tilt angles range from 22–51°. There are a spread of Mo–S bond distances ranging from 2.33–2.60 Å. In the second Mo2+ site, Mo2+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share corners with two MoS6 octahedra, a cornercorner with one VS5 square pyramid, corners with two equivalent VS5 trigonal bipyramids, edges with two MoS6 octahedra, and edges with two MoS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 19–40°. There are a spread of Mo–S bond distances ranging from 2.29–2.59 Å. In the third Mo2+ site, Mo2+ is bonded to five S2- atoms to form distorted MoS5 trigonal bipyramids that share a cornercorner with one MoS6 octahedra, corners with two equivalent VS6 octahedra, a cornercorner with one VS5 trigonal bipyramid, and edges with three MoS6 octahedra. The corner-sharing octahedra tilt angles range from 10–60°. There are a spread of Mo–S bond distances ranging from 2.31–2.58 Å. In the fourth Mo2+ site, Mo2+ is bonded to five S2- atoms to form distorted MoS5 trigonal bipyramids that share a cornercorner with one VS6 octahedra, a cornercorner with one MoS6 octahedra, a cornercorner with one VS5 trigonal bipyramid, edges with three MoS6 octahedra, and an edgeedge with one VS5 square pyramid. The corner-sharing octahedra tilt angles range from 31–77°. There are a spread of Mo–S bond distances ranging from 2.33–2.52 Å. In the fifth Mo2+ site, Mo2+ is bonded to six S2- atoms to form MoS6 octahedra that share corners with three MoS6 octahedra, a cornercorner with one VS5 square pyramid, corners with two MoS5 square pyramids, corners with two equivalent VS5 trigonal bipyramids, an edgeedge with one VS5 trigonal bipyramid, an edgeedge with one MoS5 trigonal bipyramid, a faceface with one VS6 octahedra, and a faceface with one MoS6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of Mo–S bond distances ranging from 2.34–2.52 Å. In the sixth Mo2+ site, Mo2+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Mo–S bond distances ranging from 2.34–2.99 Å. In the seventh Mo2+ site, Mo2+ is bonded to five S2- atoms to form distorted MoS5 square pyramids that share a cornercorner with one VS6 octahedra, a cornercorner with one MoS6 octahedra, corners with two equivalent MoS5 square pyramids, an edgeedge with one VS6 octahedra, edges with three MoS6 octahedra, and an edgeedge with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 10–45°. There are a spread of Mo–S bond distances ranging from 2.34–2.62 Å. In the eighth Mo2+ site, Mo2+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Mo–S bond distances ranging from 2.36–2.85 Å. In the ninth Mo2+ site, Mo2+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share a cornercorner with one MoS6 octahedra, corners with two equivalent VS6 octahedra, edges with three MoS6 octahedra, and an edgeedge with one MoS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Mo–S bond distances ranging from 2.36–2.64 Å. In the tenth Mo2+ site, Mo2+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Mo–S bond distances ranging from 2.27–2.93 Å. In the eleventh Mo2+ site, Mo2+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share a cornercorner with one VS5 square pyramid, a cornercorner with one VS5 trigonal bipyramid, a cornercorner with one MoS5 trigonal bipyramid, an edgeedge with one VS6 octahedra, edges with two MoS6 octahedra, and an edgeedge with one MoS5 trigonal bipyramid. There are a spread of Mo–S bond distances ranging from 2.41–2.67 Å. In the twelfth Mo2+ site, Mo2+ is bonded to six S2- atoms to form MoS6 octahedra that share a cornercorner with one MoS6 octahedra, a cornercorner with one VS5 trigonal bipyramid, an edgeedge with one VS6 octahedra, an edgeedge with one MoS6 octahedra, an edgeedge with one VS5 square pyramid, an edgeedge with one VS5 trigonal bipyramid, and an edgeedge with one MoS5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Mo–S bond distances ranging from 2.40–2.60 Å. In the thirteenth Mo2+ site, Mo2+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share a cornercorner with one VS6 octahedra, an edgeedge with one VS6 octahedra, edges with three MoS6 octahedra, and edges with two MoS5 square pyramids. The corner-sharing octahedral tilt angles are 24°. There are a spread of Mo–S bond distances ranging from 2.37–2.70 Å. In the fourteenth Mo2+ site, Mo2+ is bonded to five S2- atoms to form distorted MoS5 square pyramids that share corners with two MoS6 octahedra, corners with two equivalent MoS5 square pyramids, an edgeedge with one VS6 octahedra, edges with two MoS6 octahedra, and an edgeedge with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 56–82°. There are a spread of Mo–S bond distances ranging from 2.38–2.72 Å. In the fifteenth Mo2+ site, Mo2+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Mo–S bond distances ranging from 2.32–2.93 Å. In the sixteenth Mo2+ site, Mo2+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share a cornercorner with one VS5 trigonal bipyramid, an edgeedge with one VS6 octahedra, edges with three MoS6 octahedra, and edges with two MoS5 square pyramids. There are a spread of Mo–S bond distances ranging from 2.36–2.68 Å. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to two V4+ and three Mo2+ atoms. In the second S2- site, S2- is bonded in a 4-coordinate geometry to two V4+ and three Mo2+ atoms. In the third S2- site, S2- is bonded to one V4+ and three Mo2+ atoms to form distorted edge-sharing SVMo3 tetrahedra. In the fourth S2- site, S2- is bonded in a distorted L-shaped geometry to two Mo2+ atoms. In the fifth S2- site, S2- is bonded to four Mo2+ atoms to form distorted edge-sharing SMo4 trigonal pyramids. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to three V4+ and two Mo2+ atoms. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to two V4+ and three Mo2+ atoms. In the eighth S2- site, S2- is bonded in a 4-coordinate geometry to two V4+ and two Mo2+ atoms. In the ninth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Mo2+ atoms. In the tenth S2- site, S2- is bonded in a 4-coordinate geometry to two V4+ and two Mo2+ atoms. In the eleventh S2- site, S2- is bonded in a 5-coordinate geometry to two V4+ and three Mo2+ atoms. In the twelfth S2- site, S2- is bonded in a 6-coordinate geometry to three V4+ and three Mo2+ atoms. In the thirteenth S2- site, S2- is bonded in a 5-coordinate geometry to two V4+ and three Mo2+ atoms. In the fourteenth S2- site, S2- is bonded in a 5-coordinate geometry to two V4+ and three Mo2+ atoms. In the fifteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Mo2+ atoms. In the sixteenth S2- site, S2- is bonded in a 4-coordinate geometry to one V4+ and three Mo2+ atoms. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to three Mo2+ atoms. In the eighteenth S2- site, S2- is bonded in a 1-coordinate geometry to one V4+ and three Mo2+ atoms. In the nineteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two V4+ and two Mo2+ atoms. In the twentieth S2- site, S2- is bonded in a 4-coordinate geometry to one V4+ and three Mo2+ atoms. In the twenty-first S2- site, S2- is bonded in a distorted see-saw-like geometry to two V4+ and two Mo2+ atoms. In the twenty-second S2- site, S2- is bonded in a 4-coordinate geometry to one V4+ and three Mo2+ atoms. In the twenty-third S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Mo2+ atoms. In the twenty-fourth S2- site, S2- is bonded in a 4-coordinate geometry to two V4+ and two Mo2+ atoms. In the twenty-fifth S2- site, S2- is bonded in a 4-coordinate geometry to one V4+ and three Mo2+ atoms. In the twenty-sixth S2- site, S2- is bonded to two V4+ and three Mo2+ atoms to form distorted edge-sharing SV2Mo3 square pyramids. In the twenty-seventh S2- site, S2- is bonded in a 4-coordinate geometry to two V4+ and three Mo2+ atoms. In the twenty-eighth S2- site

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li8Mg3Cu9(SiO3)16 by Materials Project

Li8Mg3Cu9(SiO3)16 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Li sites. In the first Li site, Li is bonded in a 3-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.97–2.46 Å. In the second Li site, Li is bonded in a 3-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.97–2.45 Å. In the third Li site, Li is bonded in a 3-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.96–2.46 Å. In the fourth Li site, Li is bonded in a 3-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.97–2.47 Å. There are two inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with four CuO5 square pyramids. There are a spread of Mg–O bond distances ranging from 2.03–2.27 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with four CuO5 square pyramids. There are four shorter (2.04 Å) and two longer (2.26 Å) Mg–O bond lengths. There are five inequivalent Cu sites. In the first Cu site, Cu is bonded to five O atoms to form distorted CuO5 square pyramids that share corners with five SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one CuO5 square pyramid. There are a spread of Cu–O bond distances ranging from 1.96–2.47 Å. In the second Cu site, Cu is bonded to five O atoms to form distorted CuO5 square pyramids that share corners with five SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one CuO5 square pyramid. There are a spread of Cu–O bond distances ranging from 1.96–2.48 Å. In the third Cu site, Cu is bonded to five O atoms to form distorted CuO5 square pyramids that share corners with five SiO4 tetrahedra, an edgeedge with one MgO6 octahedra, an edgeedge with one CuO6 octahedra, and an edgeedge with one CuO5 square pyramid. There are a spread of Cu–O bond distances ranging from 1.96–2.47 Å. In the fourth Cu site, Cu is bonded to five O atoms to form distorted CuO5 square pyramids that share corners with five SiO4 tetrahedra, an edgeedge with one MgO6 octahedra, an edgeedge with one CuO6 octahedra, and an edgeedge with one CuO5 square pyramid. There are a spread of Cu–O bond distances ranging from 1.94–2.48 Å. In the fifth Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six SiO4 tetrahedra and edges with four CuO5 square pyramids. There are four shorter (2.02 Å) and two longer (2.31 Å) Cu–O bond lengths. There are eight inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two CuO5 square pyramids, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with three CuO5 square pyramids, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–52°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with three CuO5 square pyramids, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–53°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two equivalent CuO5 square pyramids, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two CuO5 square pyramids, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one CuO6 octahedra, corners with three CuO5 square pyramids, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one CuO6 octahedra, corners with three CuO5 square pyramids, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with two equivalent CuO5 square pyramids, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Li and two Si atoms. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Si atoms. In the third O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li and two Si atoms. In the fourth O site, O is bonded in a 3-coordinate geometry to one Mg, one Cu, and one Si atom. In the fifth O site, O is bonded in a 3-coordinate geometry to one Li and two Si atoms. In the sixth O site, O is bonded in a 3-coordinate geometry to one Mg, one Cu, and one Si atom. In the seventh O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg, two Cu, and one Si atom. In the eighth O site, O is bonded in a 3-coordinate geometry to one Li, one Cu, and one Si atom. In the ninth O site, O is bonded to one Li, one Mg, one Cu, and one Si atom to form corner-sharing OLiMgCuSi tetrahedra. In the tenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg, two Cu, and one Si atom. In the eleventh O site, O is bonded in a 3-coordinate geometry to one Li, one Cu, and one Si atom. In the twelfth O site, O is bonded to one Li, one Mg, one Cu, and one Si atom to form corner-sharing OLiMgCuSi tetrahedra. In the thirteenth O site, O is bonded in a 3-coordinate geometry to one Li and two Si atoms. In the fourteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Si atoms. In the fifteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li and two Si atoms. In the sixteenth O site, O is bonded in a 3-coordinate geometry to one Mg, one Cu, and one Si atom. In the seventeenth O site, O is bonded in a 3-coordinate geometry to one Li and two Si atoms. In the eighteenth O site, O is bonded in a 2-coordinate geometry to two Cu and one Si atom. In the nineteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Cu and one Si atom. In the twentieth O site, O is bonded in a 3-coordinate geometry to one Li, one Cu, and one Si atom. In the twenty-first O site, O is bonded to one Li, one Mg, one Cu, and one Si atom to form corner-sharing OLiMgCuSi tetrahedra. In the twenty-second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg, two Cu, and one Si atom. In the twenty-third O site, O is bonded in a 3-coordinate geometry to one Li, one Cu, and one Si atom. In the twenty-fourth O site, O is bonded to one Li, two Cu, and one Si atom to form corner-sharing OLiCu2Si tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LiCuF3 by Materials Project

LiCuF3 is Sylvanite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with four CuF6 octahedra, edges with four CuF6 octahedra, and faces with two equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 43–45°. There are a spread of Li–F bond distances ranging from 1.94–2.23 Å. In the second Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with eight CuF6 octahedra, edges with two CuF6 octahedra, and faces with two equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of Li–F bond distances ranging from 1.92–2.35 Å. In the third Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with eight CuF6 octahedra, edges with two CuF6 octahedra, and faces with two equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Li–F bond distances ranging from 1.92–2.45 Å. In the fourth Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with four CuF6 octahedra, edges with four CuF6 octahedra, and faces with two equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of Li–F bond distances ranging from 1.93–2.31 Å. There are four inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six F1- atoms to form CuF6 octahedra that share corners with four equivalent CuF6 octahedra, corners with six LiF6 octahedra, an edgeedge with one CuF6 octahedra, and edges with three LiF6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of Cu–F bond distances ranging from 1.92–2.35 Å. In the second Cu2+ site, Cu2+ is bonded to six F1- atoms to form CuF6 octahedra that share corners with four equivalent CuF6 octahedra, corners with six LiF6 octahedra, an edgeedge with one CuF6 octahedra, and edges with three LiF6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Cu–F bond distances ranging from 1.93–2.33 Å. In the third Cu2+ site, Cu2+ is bonded to six F1- atoms to form CuF6 octahedra that share corners with four equivalent CuF6 octahedra, corners with six LiF6 octahedra, an edgeedge with one CuF6 octahedra, and edges with three LiF6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of Cu–F bond distances ranging from 1.93–2.34 Å. In the fourth Cu2+ site, Cu2+ is bonded to six F1- atoms to form CuF6 octahedra that share corners with four equivalent CuF6 octahedra, corners with six LiF6 octahedra, an edgeedge with one CuF6 octahedra, and edges with three LiF6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of Cu–F bond distances ranging from 1.92–2.37 Å. There are twelve inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Cu2+ atoms. In the second F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Cu2+ atoms. In the third F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two Cu2+ atoms. In the fourth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two Cu2+ atoms. In the fifth F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Cu2+ atoms. In the sixth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two Cu2+ atoms. In the seventh F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Cu2+ atoms. In the eighth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two Cu2+ atoms. In the ninth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two Cu2+ atoms. In the tenth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two Cu2+ atoms. In the eleventh F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Cu2+ atoms. In the twelfth F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Cu2+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Nd12Si5Se28 by Materials Project

Nd12Si5Se28 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Nd–Se bond distances ranging from 2.97–3.20 Å. In the second Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven Se2- atoms. There are a spread of Nd–Se bond distances ranging from 2.91–3.19 Å. In the third Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven Se2- atoms. There are a spread of Nd–Se bond distances ranging from 2.91–3.20 Å. In the fourth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Nd–Se bond distances ranging from 2.98–3.18 Å. In the fifth Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven Se2- atoms. There are a spread of Nd–Se bond distances ranging from 2.92–3.18 Å. In the sixth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Nd–Se bond distances ranging from 2.95–3.22 Å. In the seventh Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Nd–Se bond distances ranging from 2.90–3.29 Å. In the eighth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Nd–Se bond distances ranging from 2.98–3.34 Å. In the ninth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Nd–Se bond distances ranging from 2.99–3.33 Å. In the tenth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Nd–Se bond distances ranging from 2.91–3.28 Å. In the eleventh Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Nd–Se bond distances ranging from 2.99–3.34 Å. In the twelfth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Nd–Se bond distances ranging from 2.91–3.28 Å. There are five inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a tetrahedral geometry to four Se2- atoms. There are a spread of Si–Se bond distances ranging from 2.27–2.31 Å. In the second Si4+ site, Si4+ is bonded in a tetrahedral geometry to four Se2- atoms. There are a spread of Si–Se bond distances ranging from 2.27–2.32 Å. In the third Si4+ site, Si4+ is bonded in a tetrahedral geometry to four Se2- atoms. There are a spread of Si–Se bond distances ranging from 2.28–2.31 Å. In the fourth Si4+ site, Si4+ is bonded in a tetrahedral geometry to four Se2- atoms. There are a spread of Si–Se bond distances ranging from 2.27–2.31 Å. In the fifth Si4+ site, Si4+ is bonded in an octahedral geometry to six Se2- atoms. There are a spread of Si–Se bond distances ranging from 2.50–2.59 Å. There are twenty-eight inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to three Nd3+ and one Si4+ atom to form distorted corner-sharing SeNd3Si tetrahedra. In the second Se2- site, Se2- is bonded to three Nd3+ and one Si4+ atom to form distorted corner-sharing SeNd3Si tetrahedra. In the third Se2- site, Se2- is bonded to three Nd3+ and one Si4+ atom to form distorted corner-sharing SeNd3Si tetrahedra. In the fourth Se2- site, Se2- is bonded to three Nd3+ and one Si4+ atom to form distorted corner-sharing SeNd3Si tetrahedra. In the fifth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Nd3+ atoms. In the sixth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Nd3+ and one Si4+ atom. In the seventh Se2- site, Se2- is bonded in a 4-coordinate geometry to four Nd3+ atoms. In the eighth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Nd3+ and one Si4+ atom. In the ninth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Nd3+ and one Si4+ atom. In the tenth Se2- site, Se2- is bonded to four Nd3+ atoms to form distorted corner-sharing SeNd4 trigonal pyramids. In the eleventh Se2- site, Se2- is bonded in a 4-coordinate geometry to three Nd3+ and one Si4+ atom. In the twelfth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Nd3+ atoms. In the thirteenth Se2- site, Se2- is bonded to three Nd3+ and one Si4+ atom to form distorted SeNd3Si trigonal pyramids that share corners with three SeNd3Si tetrahedra, a cornercorner with one SeNd4 trigonal pyramid, and an edgeedge with one SeNd3Si trigonal pyramid. In the fourteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Nd3+ atoms. In the fifteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Nd3+ atoms. In the sixteenth Se2- site, Se2- is bonded to three Nd3+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing SeNd3Si trigonal pyramids. In the seventeenth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Nd3+ and one Si4+ atom. In the eighteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Nd3+ and one Si4+ atom. In the nineteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Nd3+ and one Si4+ atom. In the twentieth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Nd3+ and one Si4+ atom. In the twenty-first Se2- site, Se2- is bonded in a 4-coordinate geometry to three Nd3+ and one Si4+ atom. In the twenty-second Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Nd3+ and one Si4+ atom. In the twenty-third Se2- site, Se2- is bonded in a 4-coordinate geometry to three Nd3+ and one Si4+ atom. In the twenty-fourth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Nd3+ and one Si4+ atom. In the twenty-fifth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Nd3+ and one Si4+ atom. In the twenty-sixth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Nd3+ and one Si4+ atom. In the twenty-seventh Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Nd3+ and one Si4+ atom. In the twenty-eighth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Nd3+ and one Si4+ atom.

36 MATERIALS SCIENCE↗