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Materials Data on Ba3Na2Ti3Nb2O15 by Materials Project

Na2Ba3Ti3Nb2O15 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Cmmm space group. The structure is three-dimensional. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with six equivalent NaO12 cuboctahedra, corners with six BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six equivalent NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.79–2.87 Å. There are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with five equivalent NaO12 cuboctahedra, corners with seven BaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.89 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent NaO12 cuboctahedra, corners with ten BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–2.87 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Ti–O bond lengths are 2.01 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.99–2.03 Å. Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent NbO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Nb–O bond distances ranging from 2.00–2.02 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three equivalent Na1+, one Ba2+, and two equivalent Nb5+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. There are two shorter (2.82 Å) and two longer (2.84 Å) O–Ba bond lengths. Both O–Ti bond lengths are 2.01 Å. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Na1+ and two equivalent Nb5+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Na1+, three Ba2+, and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3Na7Ti3Nb7O30 by Materials Project

Na7Ba3Ti3Nb7O30 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are seven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four NaO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with three NaO12 cuboctahedra, faces with three BaO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.89 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four BaO12 cuboctahedra, corners with eight NaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five NaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.80–2.87 Å. In the third Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four BaO12 cuboctahedra, corners with eight NaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five NaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.80–2.87 Å. In the fourth Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.82–2.86 Å. In the fifth Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with ten NaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.81–2.86 Å. In the sixth Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.82–2.86 Å. In the seventh Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with ten NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.81–2.86 Å. There are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four BaO12 cuboctahedra, corners with eight NaO12 cuboctahedra, faces with three NaO12 cuboctahedra, faces with three BaO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.78–2.91 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six NaO12 cuboctahedra, corners with six BaO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.81–2.90 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six NaO12 cuboctahedra, corners with six BaO12 cuboctahedra, faces with two NaO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–2.90 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with five TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.97–2.06 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three NbO6 octahedra, faces with four NaO12 cuboctahedra, and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–O bond distances ranging from 1.96–2.08 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two NbO6 octahedra, corners with four TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–O bond distances ranging from 1.95–2.06 Å. There are seven inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three TiO6 octahedra, corners with three NbO6 octahedra, faces with four NaO12 cuboctahedra, and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Nb–O bond distances ranging from 1.97–2.06 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NbO6 octahedra, and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Nb–O bond distances ranging from 1.94–2.08 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Nb–O bond distances ranging from 2.00–2.02 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Nb–O bond distances ranging from 1.96–2.05 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Nb–O bond distances ranging from 1.99–2.02 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NbO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Nb–O bond distances ranging from 1.99–2.05 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NbO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Nb–O bond distances ranging from 1.97–2.03 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the fourth O2- site, O2- is bonded to four Ba2+ and two Ti4+ atoms to form distorted edge-sharing OBa4Ti2 octahedra. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ti4+, and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Na1+, one Ti4+, and one Nb5+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, and two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to one Na1+, three Ba2+, and two equivalent Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to two Na1+, two Ba2+, and two equivalent Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two equivalent Nb5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to one Na1+, three Ba2+, and two equivalent Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two equivalent Nb5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to three Na1+, one Ba2+, and two equivalent Nb5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted linear geometry to two Na1+, two Ba2+, and two equivalent Nb5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two equivalent Nb5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two equivalent Nb5+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted linear geometry to three Na1+, one Ba2+, and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba7Na3Ti7Nb3O30 by Materials Project

Na3Ba7Ti7Nb3O30 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four NaO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with three NaO12 cuboctahedra, faces with three BaO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.77–2.93 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with six NaO12 cuboctahedra, corners with six BaO12 cuboctahedra, faces with two BaO12 cuboctahedra, faces with four NaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.89 Å. In the third Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with six NaO12 cuboctahedra, corners with six BaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five NaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.89 Å. There are seven inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four BaO12 cuboctahedra, corners with eight NaO12 cuboctahedra, faces with three NaO12 cuboctahedra, faces with three BaO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.77–2.95 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent NaO12 cuboctahedra, corners with ten BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–2.88 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.83–2.87 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent NaO12 cuboctahedra, corners with ten BaO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.88 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.83–2.87 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four NaO12 cuboctahedra, corners with eight BaO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.81–2.90 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four NaO12 cuboctahedra, corners with eight BaO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.90 Å. There are seven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with five TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Ti–O bond distances ranging from 1.96–2.08 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.99–2.06 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.98–2.05 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with five TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.96–2.06 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are four shorter (2.01 Å) and two longer (2.02 Å) Ti–O bond lengths. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three NbO6 octahedra, faces with four NaO12 cuboctahedra, and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–O bond distances ranging from 1.96–2.09 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with five TiO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–O bond distances ranging from 1.95–2.09 Å. There are three inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three TiO6 octahedra, corners with three NbO6 octahedra, faces with four NaO12 cuboctahedra, and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Nb–O bond distances ranging from 1.97–2.06 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two TiO6 octahedra, corners with four NbO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Nb–O bond distances ranging from 1.95–2.08 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NbO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Nb–O bond distances ranging from 1.98–2.05 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Na1+, three Ba2+, and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to one Na1+, three Ba2+, and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Na1+, one Ba2+, and two equivalent Nb5+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three Na1+, one Ba2+, and two equivalent Nb5+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded to four Ba2+ and two Ti4+ atoms to form distorted edge-sharing OBa4Ti2 octahedra. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, and two Nb5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ti4+, and one Nb5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted linear geometry to four Na1+, one Ti4+, and one Nb5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Nb5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to two Na1+, two Ba2+, and two equivalent Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted linear geometry to two Na1+, two Ba2+, and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on BaNaTiNbO6 by Materials Project

NaBaTiNbO6 is (Cubic) Perovskite-derived structured and crystallizes in the cubic F-43m space group. The structure is three-dimensional. Na1+ is bonded to twelve equivalent O2- atoms to form NaO12 cuboctahedra that share corners with twelve equivalent NaO12 cuboctahedra, faces with six equivalent BaO12 cuboctahedra, faces with four equivalent TiO6 octahedra, and faces with four equivalent NbO6 octahedra. All Na–O bond lengths are 2.84 Å. Ba2+ is bonded to twelve equivalent O2- atoms to form BaO12 cuboctahedra that share corners with twelve equivalent BaO12 cuboctahedra, faces with six equivalent NaO12 cuboctahedra, faces with four equivalent TiO6 octahedra, and faces with four equivalent NbO6 octahedra. All Ba–O bond lengths are 2.84 Å. Ti4+ is bonded to six equivalent O2- atoms to form TiO6 octahedra that share corners with six equivalent NbO6 octahedra, faces with four equivalent NaO12 cuboctahedra, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Ti–O bond lengths are 1.99 Å. Nb5+ is bonded to six equivalent O2- atoms to form NbO6 octahedra that share corners with six equivalent TiO6 octahedra, faces with four equivalent NaO12 cuboctahedra, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Nb–O bond lengths are 2.03 Å. O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom.

36 MATERIALS SCIENCE↗