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JLab E12-14-012 (e,e'p) cross section measurements for Ar and Ti

One of the limitations of accelerator based neutrino oscillation experiments including the Deep Underground Neutrino Experiment (DUNE), is the lack of understanding on how neutrino interact in matter. As an indispensable part of the neutrino physics future, DUNE is an accelerator based experiment that will use Argon as the neutrino target. Argon is a complicated target and a well defined theoretical model for neutrino interaction on Argon is needed. Thus, the JLab E12-14-012 experiment was performed in Hall A at Jefferson Lab in Newport, News, VA to help develop a neutrino-nucleus model for Argon. Data was collected on five targets (Argon, titanium, carbon, dummy and optical) for five different kinematic set-ups. The primary goal of this experiment is to measure the spectral functions of Argon and Titanium through (e,e?p) reactions. This thesis will present an overview of the experimental setup and results from the data analysis

Gu, Linjie↗

“Flower-like” Li 4 Ti 5 O 12 -multiwalled carbon nanotube composite structures with performance as highrate anode-materials for li-ion battery applications and methods of synthesis thereof

A method of fabricating nanocomposite anode material embodying a lithium titanate (LTO)-multi-walled carbon nanotube (MWNT) composite intended for use in a lithium-ion battery includes providing multi-walled carbon nanotube (MWNTs), including nanotube surfaces, onto which functional oxygenated carboxylic acid moieties are arranged, generating 3D flower-like, lithium titanate (LTO) microspheres, including thin nanosheets and anchoring the acid-functionalized MWNTs onto surfaces of the 3D LTO microspheres by π-π interaction strategy to realize the nanocomposite anode material.

25 ENERGY STORAGE↗

“Flower-like” LI 4 TI 5 O 12 -multiwalled carbon nanotube composite structures with performance as highrate anode-materials for Li-ion battery applications and methods of synthesis thereof

A method of fabricating nanocomposite anode material embodying a lithium titanate (LTO)-multi-walled carbon nanotube (MWNT) composite intended for use in a lithium-ion battery includes providing multi-walled carbon nanotube (MWNTs), including nanotube surfaces, onto which functional oxygenated carboxylic acid moieties are arranged, generating 3D flower-like, lithium titanate (LTO) microspheres, including thin nanosheets and anchoring the acid-functionalized MWNTs onto surfaces of the 3D LTO microspheres by π-π interaction strategy to realize the nanocomposite anode material.

Wong, Stanislaus S.↗

Materials Data on BaTi14O28 by Materials Project

BaTi14O28 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.96–3.03 Å. In the second Ba2+ site, Ba2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.98–3.04 Å. There are twenty-eight inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.03 Å. In the fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the sixth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the eighth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the ninth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the tenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. In the eleventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.02 Å. In the twelfth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the thirteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the fourteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the fifteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the sixteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.03 Å. In the seventeenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the eighteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the nineteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the twentieth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There is three shorter (1.96 Å) and three longer (2.01 Å) Ti–O bond length. In the twenty-first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the twenty-second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the twenty-third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the twenty-fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-sixth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the twenty-seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the twenty-eighth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti

36 MATERIALS SCIENCE↗

Materials Data on BaTi14O28 by Materials Project

BaTi14O28 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.98–3.29 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.97–3.28 Å. There are twenty-eight inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the sixth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the eighth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the ninth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the tenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the eleventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the twelfth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the thirteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the fourteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the fifteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. In the sixteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the seventeenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the eighteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the nineteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twentieth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twenty-first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the twenty-third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the twenty-fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. In the twenty-fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the twenty-sixth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. In the twenty-seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twenty-eighth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the

36 MATERIALS SCIENCE↗

Materials Data on Ti8S3 by Materials Project

Ti8S3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Ti sites. In the first Ti site, Ti is bonded in a distorted L-shaped geometry to two equivalent S atoms. Both Ti–S bond lengths are 2.49 Å. In the second Ti site, Ti is bonded in a linear geometry to two S atoms. There are one shorter (2.52 Å) and one longer (2.53 Å) Ti–S bond lengths. In the third Ti site, Ti is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Ti–S bond distances ranging from 2.45–2.53 Å. In the fourth Ti site, Ti is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are two shorter (2.52 Å) and two longer (2.53 Å) Ti–S bond lengths. In the fifth Ti site, Ti is bonded in a 4-coordinate geometry to five S atoms. There are a spread of Ti–S bond distances ranging from 2.52–2.99 Å. In the sixth Ti site, Ti is bonded in an L-shaped geometry to two S atoms. There are one shorter (2.54 Å) and one longer (2.60 Å) Ti–S bond lengths. In the seventh Ti site, Ti is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Ti–S bond distances ranging from 2.49–2.60 Å. In the eighth Ti site, Ti is bonded in an L-shaped geometry to two S atoms. There are one shorter (2.53 Å) and one longer (2.60 Å) Ti–S bond lengths. In the ninth Ti site, Ti is bonded in a distorted L-shaped geometry to two S atoms. There are one shorter (2.57 Å) and one longer (2.59 Å) Ti–S bond lengths. In the tenth Ti site, Ti is bonded in a linear geometry to two S atoms. There are one shorter (2.52 Å) and one longer (2.53 Å) Ti–S bond lengths. In the eleventh Ti site, Ti is bonded in a 4-coordinate geometry to four S atoms. There are two shorter (2.50 Å) and two longer (2.52 Å) Ti–S bond lengths. In the twelfth Ti site, Ti is bonded in a 4-coordinate geometry to four S atoms. There are two shorter (2.48 Å) and two longer (2.51 Å) Ti–S bond lengths. In the thirteenth Ti site, Ti is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Ti–S bond distances ranging from 2.43–2.54 Å. In the fourteenth Ti site, Ti is bonded in a 3-coordinate geometry to three S atoms. There are two shorter (2.45 Å) and one longer (2.53 Å) Ti–S bond lengths. In the fifteenth Ti site, Ti is bonded in a distorted single-bond geometry to one S atom. The Ti–S bond length is 2.57 Å. In the sixteenth Ti site, Ti is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are two shorter (2.52 Å) and two longer (2.53 Å) Ti–S bond lengths. In the seventeenth Ti site, Ti is bonded in a 4-coordinate geometry to five S atoms. There are a spread of Ti–S bond distances ranging from 2.53–2.99 Å. In the eighteenth Ti site, Ti is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Ti–S bond distances ranging from 2.43–2.54 Å. In the nineteenth Ti site, Ti is bonded in a distorted single-bond geometry to one S atom. The Ti–S bond length is 2.56 Å. In the twentieth Ti site, Ti is bonded in a distorted single-bond geometry to one S atom. The Ti–S bond length is 2.56 Å. In the twenty-first Ti site, Ti is bonded in a 3-coordinate geometry to three S atoms. There are one shorter (2.45 Å) and two longer (2.52 Å) Ti–S bond lengths. In the twenty-second Ti site, Ti is bonded in a 3-coordinate geometry to three S atoms. There are two shorter (2.44 Å) and one longer (2.55 Å) Ti–S bond lengths. In the twenty-third Ti site, Ti is bonded in a distorted L-shaped geometry to two S atoms. There are one shorter (2.57 Å) and one longer (2.60 Å) Ti–S bond lengths. In the twenty-fourth Ti site, Ti is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Ti–S bond distances ranging from 2.48–2.59 Å. In the twenty-fifth Ti site, Ti is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Ti–S bond distances ranging from 2.47–2.49 Å. In the twenty-sixth Ti site, Ti is bonded in a distorted L-shaped geometry to two equivalent S atoms. There are one shorter (2.49 Å) and one longer (2.50 Å) Ti–S bond lengths. In the twenty-seventh Ti site, Ti is bonded in a 4-coordinate geometry to four S atoms. There are two shorter (2.50 Å) and two longer (2.52 Å) Ti–S bond lengths. In the twenty-eighth Ti site, Ti is bonded in a 4-coordinate geometry to four S atoms. There are two shorter (2.49 Å) and two longer (2.53 Å) Ti–S bond lengths. In the twenty-ninth Ti site, Ti is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Ti–S bond distances ranging from 2.48–2.52 Å. In the thirtieth Ti site, Ti is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Ti–S bond distances ranging from 2.49–2.53 Å. In the thirty-first Ti site, Ti is bonded in a distorted single-bond geometry to one S atom. The Ti–S bond length is 2.58 Å. In the thirty-second Ti site, Ti is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Ti–S bond distances ranging from 2.47–2.50 Å. There are twelve inequivalent S sites. In the first S site, S is bonded to seven Ti atoms to form distorted edge-sharing STi7 pentagonal bipyramids. In the second S site, S is bonded in a 8-coordinate geometry to eight Ti atoms. In the third S site, S is bonded in a 9-coordinate geometry to nine Ti atoms. In the fourth S site, S is bonded to seven Ti atoms to form distorted edge-sharing STi7 pentagonal bipyramids. In the fifth S site, S is bonded in a 8-coordinate geometry to eight Ti atoms. In the sixth S site, S is bonded in a 8-coordinate geometry to eight Ti atoms. In the seventh S site, S is bonded in a 8-coordinate geometry to eight Ti atoms. In the eighth S site, S is bonded in a 8-coordinate geometry to eight Ti atoms. In the ninth S site, S is bonded in a 8-coordinate geometry to eight Ti atoms. In the tenth S site, S is bonded in a 8-coordinate geometry to eight Ti atoms. In the eleventh S site, S is bonded in a 8-coordinate geometry to eight Ti atoms. In the twelfth S site, S is bonded in a 9-coordinate geometry to nine Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgTi23O40 by Materials Project

MgTi23O40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with two TiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–27°. There are a spread of Mg–O bond distances ranging from 2.01–2.17 Å. There are twenty-three inequivalent Ti+3.39+ sites. In the first Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the second Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–51°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the third Ti+3.39+ site, Ti+3.39+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the fourth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the fifth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.16 Å. In the sixth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of Ti–O bond distances ranging from 1.94–2.21 Å. In the seventh Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–55°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the eighth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.86–2.24 Å. In the ninth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of Ti–O bond distances ranging from 1.94–2.20 Å. In the tenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.15 Å. In the eleventh Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the twelfth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–40°. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. In the thirteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.16 Å. In the fourteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the fifteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.18 Å. In the sixteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–56°. There are a spread of Ti–O bond distances ranging from 1.89–2.23 Å. In the seventeenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–55°. There are a spread of Ti–O bond distances ranging from 1.91–2.22 Å. In the eighteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.24 Å. In the nineteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–51°. There are a spread of Ti–O bond distances ranging from 1.92–2.21 Å. In the twentieth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the twenty-first Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the twenty-second Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.20 Å. In the twenty-third Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.20 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the third O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.39+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.39+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the fifteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Ti+3.39+ atoms. In the twenty-second O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-sixth O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the thirty-seventh O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-eighth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-ninth O

36 MATERIALS SCIENCE↗