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At least 91 records · Page 5

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↗

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↗

A fully vectorized numerical solution of the incompressible Navier-Stokes equations

A vectorizable algorithm is presented for the implicit finite difference solution of the incompressible Navier-Stokes equations in general curvilinear coordinates. The unsteady Reynolds averaged Navier-Stokes equations solved are in two dimension and non-conservative primitive variable form. A two-layer algebraic eddy viscosity turbulence model is used to incorporate the effects of turbulence. Two momentum equations and a Poisson pressure equation, which is obtained by taking the divergence of the momentum equations and satisfying the continuity equation, are solved simultaneously at each time step. An elliptic grid generation approach is used to generate a boundary conforming coordinate system about an airfoil. The governing equations are expressed in terms of the curvilinear coordinates and are solved on a uniform rectangular computational domain. A checkerboard SOR, which can effectively utilize the computer architectural concept of vector processing, is used for iterative solution of the governing equations.

Patel, N.↗

Calculating Electromagnetic Fields Of A Loop Antenna

Approximate field values computed rapidly. MODEL computer program developed to calculate electromagnetic field values of large loop antenna at all distances to observation point. Antenna assumed to be in x-y plane with center at origin of coordinate system. Calculates field values in both rectangular and spherical components. Also solves for wave impedance. Written in MicroSoft FORTRAN 77.

Schieffer, Mitchell B.↗

Overview of numerical codes developed for predicted electrothermal deicing of aircraft blades

An overview of the deicing computer codes that have been developed at the University of Toledo under sponsorship of the NASA-Lewis Research Center is presented. These codes simulate the transient heat conduction and phase change occurring in an electrothermal deicier pad that has an arbitrary accreted ice shape on its surface. The codes are one-dimensional rectangular, two-dimensional rectangular, and two-dimensional with a coordinate transformation to model the true blade geometry. All modifications relating to the thermal physics of the deicing problem that have been incorporated into the codes will be discussed. Recent results of reformulating the codes using different numerical methods to increase program efficiency are described. In particular, this reformulation has enabled a more comprehensive two-dimensional code to run in much less CPU time than the original version. The code predictions are compared with experimental data obtained in the NASA-Lewis Icing Research Tunnel with a UH1H blade fitted with a B. F. Goodrich electrothermal deicer pad. Both continuous and cyclic heater firing cases are considered. The major objective in this comparison is to illustrate which codes give acceptable results in different regions of the airfoil for different heater firing sequences.

Keith, Theo G.↗

The National Grid Project: A system overview

The National Grid Project (NGP) is a comprehensive numerical grid generation software system that is being developed at the National Science Foundation (NSF) Engineering Research Center (ERC) for Computational Field Simulation (CFS) at Mississippi State University (MSU). NGP is supported by a coalition of U.S. industries and federal laboratories. The objective of the NGP is to significantly decrease the amount of time it takes to generate a numerical grid for complex geometries and to increase the quality of these grids to enable computational field simulations for applications in industry. A geometric configuration can be discretized into grids (or meshes) that have two fundamental forms: structured and unstructured. Structured grids are formed by intersecting curvilinear coordinate lines and are composed of quadrilateral (2D) and hexahedral (3D) logically rectangular cells. The connectivity of a structured grid provides for trivial identification of neighboring points by incrementing coordinate indices. Unstructured grids are composed of cells of any shape (commonly triangles, quadrilaterals, tetrahedra and hexahedra), but do not have trivial identification of neighbors by incrementing an index. For unstructured grids, a set of points and an associated connectivity table is generated to define unstructured cell shapes and neighboring points. Hybrid grids are a combination of structured grids and unstructured grids. Chimera (overset) grids are intersecting or overlapping structured grids. The NGP system currently provides a user interface that integrates both 2D and 3D structured and unstructured grid generation, a solid modeling topology data management system, an internal Computer Aided Design (CAD) system based on Non-Uniform Rational B-Splines (NURBS), a journaling language, and a grid/solution visualization system.

Gaither, Adam↗

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↗

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↗

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↗

Numerical solution of flow problems using body-fitted coordinate systems

The paper deals with numerically generated boundary-fitted coordinate systems. This procedure eliminates the shape of the boundaries as a complicating factor and allows the flow about arbitrary boundaries to be treated essentially as easily as that about simple boundaries. The technique of boundary-fitted coordinate systems is based on a method of automatic numerical generation of a general curvilinear coordinate system having a coordinate line coincident with each boundary of a general multiconnected region involving any number of arbitrarily shaped boundaries. Once the curvilinear coordinate system is generated, any partial differential system of interest may be solved on the coordinate system by transforming the equations and solving the resulting system in finite-difference approximation on the rectangular transformed plane. Attention is given to the types of boundary-fitted coordinate systems, coordinate system control, operation of the coordinate codes, solution of partial differential equations, application to free-surface flow, and other applications of interest.

Thompson, J. F.↗

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↗

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↗

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↗

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↗

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↗

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↗

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↗

Materials Data on Rb3Nb20O34 by Materials Project

Rb3Nb20O34 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 2.98–3.30 Å. In the second Rb1+ site, Rb1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 3.04–3.16 Å. In the third Rb1+ site, Rb1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 2.90–3.34 Å. There are twenty inequivalent Nb+3.25+ sites. In the first Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two NbO6 octahedra, corners with six NbO5 square pyramids, a cornercorner with one NbO4 tetrahedra, and edges with two NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 43–44°. There are a spread of Nb–O bond distances ranging from 2.13–2.29 Å. In the second Nb+3.25+ site, Nb+3.25+ is bonded to four O2- atoms to form NbO4 tetrahedra that share corners with three NbO6 octahedra and corners with three NbO5 square pyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Nb–O bond distances ranging from 1.88–1.92 Å. In the third Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two NbO6 octahedra, corners with six NbO5 square pyramids, a cornercorner with one NbO4 tetrahedra, and edges with two NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 43–45°. There are a spread of Nb–O bond distances ranging from 2.13–2.28 Å. In the fourth Nb+3.25+ site, Nb+3.25+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO5 square pyramids and corners with three NbO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 2.00–2.16 Å. In the fifth Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent NbO6 octahedra, corners with six NbO5 square pyramids, a cornercorner with one NbO4 tetrahedra, and edges with two NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Nb–O bond distances ranging from 2.12–2.27 Å. In the sixth Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent NbO6 octahedra, corners with six NbO5 square pyramids, a cornercorner with one NbO4 tetrahedra, and edges with two NbO5 square pyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Nb–O bond distances ranging from 2.11–2.28 Å. In the seventh Nb+3.25+ site, Nb+3.25+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO5 square pyramids and corners with three NbO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 2.04–2.19 Å. In the eighth Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two NbO6 octahedra, corners with six NbO5 square pyramids, a cornercorner with one NbO4 tetrahedra, and edges with two NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Nb–O bond distances ranging from 2.10–2.27 Å. In the ninth Nb+3.25+ site, Nb+3.25+ is bonded to four O2- atoms to form NbO4 tetrahedra that share corners with three NbO6 octahedra and corners with three NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Nb–O bond distances ranging from 1.88–1.91 Å. In the tenth Nb+3.25+ site, Nb+3.25+ is bonded to four O2- atoms to form NbO4 tetrahedra that share corners with three NbO6 octahedra and corners with three NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Nb–O bond distances ranging from 1.88–1.92 Å. In the eleventh Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two NbO6 octahedra, corners with six NbO5 square pyramids, a cornercorner with one NbO4 tetrahedra, and edges with two NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Nb–O bond distances ranging from 2.10–2.27 Å. In the twelfth Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent NbO6 octahedra, corners with six NbO5 square pyramids, a cornercorner with one NbO4 tetrahedra, and edges with two NbO5 square pyramids. The corner-sharing octahedral tilt angles are 43°. There are a spread of Nb–O bond distances ranging from 2.12–2.27 Å. In the thirteenth Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two NbO6 octahedra, corners with six NbO5 square pyramids, a cornercorner with one NbO4 tetrahedra, and edges with two NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Nb–O bond distances ranging from 2.11–2.27 Å. In the fourteenth Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two NbO6 octahedra, corners with six NbO5 square pyramids, a cornercorner with one NbO4 tetrahedra, and edges with two NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Nb–O bond distances ranging from 2.10–2.27 Å. In the fifteenth Nb+3.25+ site, Nb+3.25+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO5 square pyramids and corners with three NbO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 2.02–2.17 Å. In the sixteenth Nb+3.25+ site, Nb+3.25+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO5 square pyramids and corners with three NbO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 2.07–2.14 Å. In the seventeenth Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent NbO6 octahedra, corners with six NbO5 square pyramids, a cornercorner with one NbO4 tetrahedra, and edges with two NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Nb–O bond distances ranging from 2.11–2.26 Å. In the eighteenth Nb+3.25+ site, Nb+3.25+ is bonded to four O2- atoms to form NbO4 tetrahedra that share corners with three NbO6 octahedra and corners with three NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Nb–O bond distances ranging from 1.88–1.92 Å. In the nineteenth Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two NbO6 octahedra, corners with six NbO5 square pyramids, a cornercorner with one NbO4 tetrahedra, and edges with two NbO5 square pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Nb–O bond distances ranging from 2.12–2.26 Å. In the twentieth Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two NbO6 octahedra, corners with six NbO5 square pyramids, a cornercorner with one NbO4 tetrahedra, and edges with two NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Nb–O bond distances ranging from 2.12–2.26 Å. There are thirty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Nb+3.25+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Rb1+ and two Nb+3.25+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to three Rb1+ and two Nb+3.25+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Rb1+ and two Nb+3.25+ atoms. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Rb1+ and two Nb+3.25+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Rb1+ and two Nb+3.25+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Nb+3.25+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Nb+3.25+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the fourteenth O2- site, O2- is bonded in a square co-planar geometry to four Nb+3.25+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Rb1+ and two Nb+3.25+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the seventeenth O2- site, O2- is bonded in a square co-planar geometry to four Nb+3.25+ atoms. In the eighteenth O2- site, O2- is bonded in a square co-planar geometry to four Nb+3.25+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Rb1+ and two Nb+3.25+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two equivalent Rb1+ and two Nb+3.25+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Rb1+ and two Nb+3.25+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two Nb+3.25+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Rb1+ and two Nb+3.25+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the twenty-ninth O2- site, O2- is bonded in a square co-planar geometry to four Nb+3.25+ atoms. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Rb1+ and two Nb+3.25+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four Nb+3.25+ atoms. In the thirty-third O2- site, O2- is bonded in a square co-planar geometry to four Nb+3.25+ atoms. In the thirty-fourth O2- site, O2- is bonded in a square co-planar geometry to four Nb+3.25+ atoms.

36 MATERIALS SCIENCE↗