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Materials Data on TiPbO3 by Materials Project

PbTiO3 is (Cubic) Perovskite structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Ti4+ is bonded to six equivalent O2- atoms to form TiO6 octahedra that share corners with six equivalent TiO6 octahedra and faces with eight equivalent PbO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Ti–O bond lengths are 1.98 Å. Pb2+ is bonded to twelve equivalent O2- atoms to form PbO12 cuboctahedra that share corners with twelve equivalent PbO12 cuboctahedra, faces with six equivalent PbO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. All Pb–O bond lengths are 2.81 Å. O2- is bonded in a linear geometry to two equivalent Ti4+ and four equivalent Pb2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiPbO3 by Materials Project

PbTiO3 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. Ti4+ is bonded to five O2- atoms to form distorted corner-sharing TiO5 trigonal bipyramids. There is one shorter (1.75 Å) and four longer (1.99 Å) Ti–O bond length. Pb2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are four shorter (2.50 Å) and four longer (2.85 Å) Pb–O bond lengths. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one Ti4+ and four equivalent Pb2+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Ti4+ and two equivalent Pb2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti3PbO7 by Materials Project

PbTi3O7 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 22°. There are a spread of Ti–O bond distances ranging from 1.86–2.08 Å. In the second Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.33 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 24°. There are a spread of Ti–O bond distances ranging from 1.83–2.12 Å. Pb2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Pb–O bond distances ranging from 2.40–2.59 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and three equivalent Pb2+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two equivalent Pb2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiPb9O11 by Materials Project

TiPb9O11 crystallizes in the tetragonal P4 space group. The structure is two-dimensional and consists of one TiPb9O11 sheet oriented in the (0, 0, 1) direction. Ti4+ is bonded in a square pyramidal geometry to five O2- atoms. There is one shorter (1.76 Å) and four longer (2.00 Å) Ti–O bond length. There are three inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Pb–O bond distances ranging from 2.32–2.41 Å. In the second Pb2+ site, Pb2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Pb–O bond distances ranging from 2.36–2.95 Å. In the third Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All Pb–O bond lengths are 2.35 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ti4+ and three Pb2+ atoms. In the second O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of corner and edge-sharing OPb4 tetrahedra. In the third O2- site, O2- is bonded to four Pb2+ atoms to form a mixture of corner and edge-sharing OPb4 tetrahedra. In the fourth O2- site, O2- is bonded in a single-bond geometry to one Ti4+ and four equivalent Pb2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti5Pb5O14 by Materials Project

Ti5Pb5O14 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Ti+3.60+ sites. In the first Ti+3.60+ site, Ti+3.60+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with two TiO4 tetrahedra and corners with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.77–2.03 Å. In the second Ti+3.60+ site, Ti+3.60+ is bonded to four O2- atoms to form distorted corner-sharing TiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.78–1.97 Å. In the third Ti+3.60+ site, Ti+3.60+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with two TiO4 tetrahedra and corners with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.76–2.02 Å. In the fourth Ti+3.60+ site, Ti+3.60+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with two TiO4 tetrahedra and corners with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.75–2.04 Å. In the fifth Ti+3.60+ site, Ti+3.60+ is bonded to four O2- atoms to form distorted corner-sharing TiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.77–1.96 Å. There are five inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.51–2.86 Å. In the second Pb2+ site, Pb2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.54–2.88 Å. In the third Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.47–3.09 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.47–3.04 Å. In the fifth Pb2+ site, Pb2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.54–2.84 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one Ti+3.60+ and four Pb2+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.60+ and two Pb2+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ti+3.60+ and two Pb2+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ti+3.60+ and two Pb2+ atoms. In the fifth O2- site, O2- is bonded in a single-bond geometry to one Ti+3.60+ and four Pb2+ atoms. In the sixth O2- site, O2- is bonded in a single-bond geometry to one Ti+3.60+ and four Pb2+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.60+ and two Pb2+ atoms. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti+3.60+ and four Pb2+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.60+ and two Pb2+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ti+3.60+ and two Pb2+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.60+ and two Pb2+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ti+3.60+ and two Pb2+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti+3.60+ and four Pb2+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.60+ and two Pb2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti8Pb8O23 by Materials Project

Ti8Pb8O23 is Pb(Zr_(1-x)Ti_x)O3-like structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Ti+3.75+ sites. In the first Ti+3.75+ site, Ti+3.75+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Ti–O bond distances ranging from 1.81–2.27 Å. In the second Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Ti–O bond distances ranging from 1.79–2.40 Å. In the third Ti+3.75+ site, Ti+3.75+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.79–2.46 Å. In the fourth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Ti–O bond distances ranging from 1.79–2.40 Å. In the fifth Ti+3.75+ site, Ti+3.75+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.82–2.42 Å. In the sixth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Ti–O bond distances ranging from 1.79–2.41 Å. In the seventh Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Ti–O bond distances ranging from 1.80–2.40 Å. In the eighth Ti+3.75+ site, Ti+3.75+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.41 Å. There are eight inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 11-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.54–2.84 Å. In the second Pb2+ site, Pb2+ is bonded in a 12-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.54–2.83 Å. In the third Pb2+ site, Pb2+ is bonded in a 11-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.51–2.85 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 11-coordinate geometry to seven O2- atoms. There are a spread of Pb–O bond distances ranging from 2.51–2.84 Å. In the fifth Pb2+ site, Pb2+ is bonded in a 12-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.53–2.85 Å. In the sixth Pb2+ site, Pb2+ is bonded in a 12-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.55–2.84 Å. In the seventh Pb2+ site, Pb2+ is bonded in a 12-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.54–2.85 Å. In the eighth Pb2+ site, Pb2+ is bonded in a 11-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.53–2.84 Å. There are twenty-three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.75+ and two equivalent Pb2+ atoms. In the second O2- site, O2- is bonded in a distorted single-bond geometry to two Ti+3.75+ and four Pb2+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.75+ and two equivalent Pb2+ atoms. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Ti+3.75+ and four Pb2+ atoms. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to two Ti+3.75+ and four Pb2+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.75+ and two equivalent Pb2+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Ti+3.75+ and four Pb2+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.75+ and two equivalent Pb2+ atoms. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to two Ti+3.75+ and four Pb2+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.75+ and two equivalent Pb2+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.75+ and two equivalent Pb2+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.75+ and four Pb2+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.75+ and two equivalent Pb2+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ti+3.75+ and four Pb2+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.75+ and two equivalent Pb2+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ti+3.75+ and four Pb2+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ti+3.75+ and two Pb2+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ti+3.75+ and two Pb2+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ti+3.75+ and two Pb2+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ti+3.75+ and two Pb2+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ti+3.75+ and two Pb2+ atoms. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ti+3.75+ and two Pb2+ atoms. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ti+3.75+ and two Pb2+ atoms.

36 MATERIALS SCIENCE↗