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Materials Data on K5Na3Nb8O24 by Materials Project

K5Na3Nb8O24 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are four inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are four shorter (2.85 Å) and eight longer (2.88 Å) K–O bond lengths. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are eight shorter (2.86 Å) and four longer (2.88 Å) K–O bond lengths. In the third K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with six KO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are four shorter (2.86 Å) and eight longer (2.88 Å) K–O bond lengths. In the fourth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are eight shorter (2.85 Å) and four longer (2.88 Å) K–O bond lengths. There are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are eight shorter (2.83 Å) and four longer (2.84 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are eight shorter (2.83 Å) and four longer (2.86 Å) Na–O bond lengths. Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six equivalent NbO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Nb–O bond distances ranging from 2.01–2.03 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two equivalent Nb5+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two equivalent Nb5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, and two equivalent Nb5+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three K1+, one Na1+, and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on KNaNb2O6 by Materials Project

KNaNb2O6 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.77–3.08 Å. Na1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Na–O bond distances ranging from 2.61–3.13 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with four equivalent KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Nb–O bond distances ranging from 1.90–2.20 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with four equivalent KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Nb–O bond distances ranging from 1.89–2.23 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two equivalent Nb5+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two equivalent Nb5+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four equivalent K1+ and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to four equivalent Na1+ and two Nb5+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two equivalent Nb5+ atoms. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K4NaNb5O15 by Materials Project

K4NaNb5O15 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with eleven KO12 cuboctahedra, faces with six KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.77–3.13 Å. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with twelve KO12 cuboctahedra, faces with six KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.76–3.07 Å. In the third K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with eleven KO12 cuboctahedra, faces with six KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.77–3.08 Å. In the fourth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.73–3.07 Å. In the fifth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with eight KO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.76–3.07 Å. In the sixth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with twelve KO12 cuboctahedra, faces with six KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.76–3.07 Å. In the seventh K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with twelve KO12 cuboctahedra, faces with six KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.77–3.07 Å. In the eighth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with eight KO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.74–3.07 Å. There are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 12-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.59–3.02 Å. In the second Na1+ site, Na1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.57–3.02 Å. There are ten inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with four KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Nb–O bond distances ranging from 1.89–2.27 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with four KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–18°. There are a spread of Nb–O bond distances ranging from 1.89–2.27 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 KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Nb–O bond distances ranging from 1.88–2.29 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 KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Nb–O bond distances ranging from 1.88–2.28 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 KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Nb–O bond distances ranging from 1.88–2.28 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with four equivalent KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Nb–O bond distances ranging from 1.88–2.25 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with six KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–16°. There are a spread of Nb–O bond distances ranging from 1.89–2.25 Å. In the eighth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Nb–O bond distances ranging from 1.88–2.26 Å. In the ninth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Nb–O bond distances ranging from 1.88–2.25 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with six KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Nb–O bond distances ranging from 1.88–2.27 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent K1+, one Na1+, and two equivalent Nb5+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to three K1+, one Na1+, and two equivalent Nb5+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four K1+ and two equivalent Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to four K1+ and two equivalent Nb5+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to three K1+ and two equivalent Nb5+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, two equivalent Na1+, and two equivalent Nb5+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, two equivalent Na1+, and two equivalent Nb5+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to four K1+ and two equivalent Nb5+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to four K1+ and two equivalent Nb5+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to four K1+ and two equivalent Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to four K1+ and two Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four K1+ and two Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to four K1+ and two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent K1+ and two Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a 6-coordinate geometry to four K1+ and two Nb5+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to four K1+ and two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to four K1+ and two Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent K1+ and two Nb5+ atoms. In the twenty-first O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms. In the twenty-second O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms. In the twenty-third O2- site, O2- is bonded in a 6-coordinate geometry to four K1+ and two Nb5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 6-coordinate geometry to four K1+ and two Nb5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 6-coordinate geometry to four K1+ and two Nb5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 6-coordinate geometry to four K1+ and two Nb5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 6-coordinate geometry to four K1+ and two Nb5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 6-coordinate geometry to four K1+ and two Nb5+ atoms. In the thirtieth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K2NaNb3O9 by Materials Project

K2NaNb3O9 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with eight KO12 cuboctahedra, faces with six KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.76–3.12 Å. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with six KO12 cuboctahedra, faces with three KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.76–3.05 Å. In the third K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with eight KO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.74–3.04 Å. In the fourth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with six KO12 cuboctahedra, faces with three KO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.73–3.06 Å. There are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.56–2.99 Å. In the second Na1+ site, Na1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.55–3.03 Å. There are six inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and faces with six KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Nb–O bond distances ranging from 1.88–2.32 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with four KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–18°. There are a spread of Nb–O bond distances ranging from 1.88–2.27 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 six KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Nb–O bond distances ranging from 1.88–2.27 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 six KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Nb–O bond distances ranging from 1.88–2.29 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 four KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–18°. There are a spread of Nb–O bond distances ranging from 1.88–2.26 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with six KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Nb–O bond distances ranging from 1.89–2.26 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to four K1+ and two Nb5+ atoms. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms. In the third O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent K1+ and two Nb5+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent K1+ and two Nb5+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to four K1+ and two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to three K1+ and two equivalent Nb5+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two K1+, one Na1+, and two equivalent Nb5+ atoms. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to three K1+, one Na1+, and two equivalent Nb5+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four K1+ and two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to four K1+ and two Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, two Na1+, and two equivalent Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to three K1+, one Na1+, and two equivalent Nb5+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to three K1+, one Na1+, and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗