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Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
TiV(PO4)2 crystallizes in the trigonal R3 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 TiO6 octahedra that share corners with six PO4 tetrahedra. There is three shorter (1.90 Å) and three longer (2.04 Å) Ti–O bond length. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one VO6 octahedra. There are three shorter (1.92 Å) and three longer (2.08 Å) Ti–O bond lengths. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There is three shorter (1.90 Å) and three longer (2.09 Å) Ti–O bond length. There are three inequivalent V2+ sites. In the first V2+ site, V2+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one TiO6 octahedra, and a faceface with one VO6 octahedra. There are three shorter (2.20 Å) and three longer (2.22 Å) V–O bond lengths. In the second V2+ site, V2+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one VO6 octahedra. There are three shorter (2.01 Å) and three longer (2.11 Å) V–O bond lengths. In the third V2+ site, V2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.23 Å) and three longer (2.24 Å) V–O bond lengths. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. There are a spread of P–O bond distances ranging from 1.50–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–49°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one V2+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one V2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one V2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two V2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one V2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom.
Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
TiCr(PO4)2 crystallizes in the triclinic P1 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 TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.10 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.12 Å. There are three inequivalent Cr2+ sites. In the first Cr2+ site, Cr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cr–O bond distances ranging from 2.18–2.34 Å. In the second Cr2+ site, Cr2+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.94–2.08 Å. In the third Cr2+ site, Cr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cr–O bond distances ranging from 2.20–2.34 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–47°. There are a spread of P–O bond distances ranging from 1.51–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–45°. There are a spread of P–O bond distances ranging from 1.51–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–46°. There is three shorter (1.54 Å) and one longer (1.56 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–46°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Cr2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Cr2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Cr2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Cr2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Cr2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Cr2+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Cr2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Cr2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr2+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Cr2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Cr2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Cr2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Cr2+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom.
TiCo(PO4)2 crystallizes in the trigonal R3 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 TiO6 octahedra that share corners with six PO4 tetrahedra. There is three shorter (1.89 Å) and three longer (2.03 Å) Ti–O bond length. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one CoO6 octahedra. There is three shorter (1.91 Å) and three longer (2.04 Å) Ti–O bond length. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There is three shorter (1.88 Å) and three longer (2.07 Å) Ti–O bond length. There are three inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one TiO6 octahedra, and a faceface with one CoO6 octahedra. There are three shorter (2.14 Å) and three longer (2.23 Å) Co–O bond lengths. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one CoO6 octahedra. There are three shorter (1.95 Å) and three longer (2.07 Å) Co–O bond lengths. In the third Co2+ site, Co2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.21 Å) and three longer (2.22 Å) Co–O bond lengths. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CoO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–49°. There are a spread of P–O bond distances ranging from 1.50–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CoO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–49°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Co2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Co2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom.
SrTi(PO4)2 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Sr2+ is bonded to eight O2- atoms to form distorted SrO8 hexagonal bipyramids that share corners with four equivalent PO4 tetrahedra, edges with two equivalent SrO8 hexagonal bipyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent PO4 tetrahedra. There are a spread of Sr–O bond distances ranging from 2.66–2.77 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra and edges with two equivalent SrO8 hexagonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.90–2.01 Å. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent SrO8 hexagonal bipyramids, corners with three equivalent TiO6 octahedra, and an edgeedge with one SrO8 hexagonal bipyramid. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, one Ti4+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+, one Ti4+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Sr2+ and one P5+ atom.
Ti(HPO4)2H2O crystallizes in the monoclinic P2_1/c space group. The structure is two-dimensional and consists of four water molecules and two Ti(HPO4)2 sheets oriented in the (0, 0, 1) direction. In each Ti(HPO4)2 sheet, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.93–1.99 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–39°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–40°. There is three shorter (1.54 Å) and one longer (1.57 Å) P–O bond length. There are two inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.01 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to one P5+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one P5+ and one H1+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom.
Ti(HPO4)2 crystallizes in the monoclinic P2_1/c space group. The structure is two-dimensional and consists of two Ti(HPO4)2 sheets oriented in the (0, 0, 1) direction. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.02 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–43°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–38°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. There are two inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to one Ti4+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one P5+ and one H1+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one P5+ and one H1+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom.
(TiP2O7)2(O2)3 crystallizes in the monoclinic P2_1 space group. The structure is two-dimensional and consists of six hydrogen peroxide molecules and two TiP2O7 sheets oriented in the (0, 0, 1) direction. In one of the TiP2O7 sheets, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with four equivalent PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.04 Å. There are two inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–37°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. In the second P site, P is bonded in a trigonal planar geometry to three O atoms. There are a spread of P–O bond distances ranging from 1.47–1.51 Å. There are seven inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the second O site, O is bonded in a linear geometry to one Ti and one P atom. In the third O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the fourth O site, O is bonded in a linear geometry to one Ti and one P atom. In the fifth O site, O is bonded in a linear geometry to one Ti and one P atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the seventh O site, O is bonded in a single-bond geometry to one P atom. In one of the TiP2O7 sheets, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with four equivalent PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.06 Å. There are two inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–37°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the second P site, P is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.46 Å) and two longer (1.51 Å) P–O bond length. There are seven inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the second O site, O is bonded in a linear geometry to one Ti and one P atom. In the third O site, O is bonded in a distorted bent 120 degrees geometry to one Ti and one P atom. In the fourth O site, O is bonded in a bent 120 degrees geometry to one Ti and one P atom. In the fifth O site, O is bonded in a single-bond geometry to one P atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the seventh O site, O is bonded in a linear geometry to one Ti and one P atom.
RbTi2(PO4)3 crystallizes in the trigonal R-3c space group. The structure is three-dimensional. Rb1+ is bonded to twelve O2- atoms to form distorted RbO12 cuboctahedra that share corners with six equivalent TiO6 octahedra, edges with six equivalent PO4 tetrahedra, and faces with two equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are six shorter (2.89 Å) and six longer (3.44 Å) Rb–O bond lengths. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent RbO12 cuboctahedra, corners with six equivalent PO4 tetrahedra, and a faceface with one RbO12 cuboctahedra. There is three shorter (1.96 Å) and three longer (1.97 Å) Ti–O bond length. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four equivalent TiO6 octahedra and edges with two equivalent RbO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 21–35°. All P–O bond lengths are 1.55 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+, one Ti4+, and one P5+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Ti4+, and one P5+ atom.
K2YTi(PO4)3 crystallizes in the cubic P2_13 space group. The structure is three-dimensional. there are two inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.94–3.12 Å. In the second K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 3.00–3.28 Å. Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with six equivalent PO4 tetrahedra. There are three shorter (2.22 Å) and three longer (2.24 Å) Y–O bond lengths. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. There is three shorter (1.96 Å) and three longer (2.01 Å) Ti–O bond length. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent YO6 octahedra and corners with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–40°. There is two shorter (1.53 Å) and two longer (1.57 Å) P–O bond length. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Y3+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to two K1+, one Ti4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Ti4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Y3+, and one P5+ atom.
Rb3Ti3(PO4)5 crystallizes in the orthorhombic Pbcm space group. The structure is three-dimensional. there are two inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 6-coordinate geometry to eleven O2- atoms. There are a spread of Rb–O bond distances ranging from 2.82–3.42 Å. In the second Rb1+ site, Rb1+ is bonded in a 2-coordinate geometry to twelve O2- atoms. There are a spread of Rb–O bond distances ranging from 2.95–3.58 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 PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.91–1.99 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra and corners with five PO4 tetrahedra. The corner-sharing octahedral tilt angles are 25°. There are a spread of Ti–O bond distances ranging from 1.83–2.07 Å. There are three inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–36°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–43°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–30°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Rb1+ and two equivalent P5+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+ and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a linear geometry to two equivalent Rb1+, one Ti4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to three Rb1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Ti4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Rb1+, one Ti4+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Rb1+, one Ti4+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Rb1+, one Ti4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Rb1+, one Ti4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+, one Ti4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Ti4+, and one P5+ atom.
Ti2Sn(PO4)3 crystallizes in the trigonal R-3c space group. The structure is three-dimensional. Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. There are three shorter (1.94 Å) and three longer (2.08 Å) Ti–O bond lengths. Sn2+ is bonded in a distorted hexagonal planar geometry to six equivalent O2- atoms. All Sn–O bond lengths are 2.52 Å. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–38°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.50+ and one P5+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Ti+3.50+, one Sn2+, and one P5+ atom.
K3Ti3(PO4)5 crystallizes in the orthorhombic Pca2_1 space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.74–3.42 Å. In the second K1+ site, K1+ is bonded in a 2-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.71–3.24 Å. In the third K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.76–3.16 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 TiO6 octahedra and corners with five PO4 tetrahedra. The corner-sharing octahedral tilt angles are 26°. There are a spread of Ti–O bond distances ranging from 1.83–2.03 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.01 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra and corners with five PO4 tetrahedra. The corner-sharing octahedral tilt angles are 26°. There are a spread of Ti–O bond distances ranging from 1.81–2.04 Å. There are five inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–38°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–39°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–41°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–38°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–46°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Ti4+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one K1+, one Ti4+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Ti4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+, one Ti4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Ti4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two K1+, one Ti4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Ti4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Ti4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Ti4+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Ti4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Ti4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one K1+, one Ti4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Ti4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Ti4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two P5+ atoms.
KNaTi4(PO4)6 crystallizes in the trigonal R-3 space group. The structure is three-dimensional. K1+ is bonded in a distorted hexagonal planar geometry to six equivalent O2- atoms. All K–O bond lengths are 2.69 Å. Na1+ is bonded in a hexagonal planar geometry to six equivalent O2- atoms. All Na–O bond lengths are 2.64 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 equivalent PO4 tetrahedra. There is three shorter (1.94 Å) and three longer (1.98 Å) Ti–O bond length. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. There is three shorter (1.93 Å) and three longer (1.98 Å) Ti–O bond length. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ti4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Ti4+, and one P5+ atom.
Ti3Tl3(PO4)5 crystallizes in the orthorhombic Pca2_1 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 TiO6 octahedra that share a cornercorner with one TiO6 octahedra and corners with five PO4 tetrahedra. The corner-sharing octahedral tilt angles are 25°. There are a spread of Ti–O bond distances ranging from 1.81–2.05 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.01 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra and corners with five PO4 tetrahedra. The corner-sharing octahedral tilt angles are 25°. There are a spread of Ti–O bond distances ranging from 1.83–2.04 Å. There are three inequivalent Tl1+ sites. In the first Tl1+ site, Tl1+ is bonded in a 2-coordinate geometry to ten O2- atoms. There are a spread of Tl–O bond distances ranging from 2.76–3.46 Å. In the second Tl1+ site, Tl1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tl–O bond distances ranging from 2.82–3.20 Å. In the third Tl1+ site, Tl1+ is bonded in a 2-coordinate geometry to nine O2- atoms. There are a spread of Tl–O bond distances ranging from 2.76–3.41 Å. There are five inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 35°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–43°. All P–O bond lengths are 1.55 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–36°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–37°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–35°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti4+, one Tl1+, and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+, one Tl1+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Ti4+, two Tl1+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a linear geometry to one Ti4+, one Tl1+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+, one Tl1+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti4+, two Tl1+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+, two Tl1+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Ti4+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a linear geometry to one Ti4+, one Tl1+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti4+, two Tl1+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti4+, one Tl1+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to three Tl1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ti4+, one Tl1+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Tl1+ and two P5+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ and one Tl1+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ti4+, one Tl1+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti4+, one Tl1+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to three Tl1+ and one P5+ atom.
Rb2ErTi(PO4)3 crystallizes in the cubic P2_13 space group. The structure is three-dimensional. there are two inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 3.01–3.13 Å. In the second Rb1+ site, Rb1+ is bonded in a 6-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 3.04–3.30 Å. Er3+ is bonded to six O2- atoms to form ErO6 octahedra that share corners with six equivalent PO4 tetrahedra. There are three shorter (2.20 Å) and three longer (2.22 Å) Er–O bond lengths. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. There is three shorter (1.98 Å) and three longer (2.00 Å) Ti–O bond length. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent ErO6 octahedra and corners with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–40°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Er3+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to two Rb1+, one Ti4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Er3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Ti4+, and one P5+ atom.
Rb2Ti2(PO4)3 crystallizes in the cubic P2_13 space group. The structure is three-dimensional. there are two inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 2.96–3.20 Å. In the second Rb1+ site, Rb1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Rb–O bond distances ranging from 2.92–3.26 Å. There are two inequivalent Ti+3.50+ sites. In the first Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. All Ti–O bond lengths are 2.00 Å. In the second Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. There are three shorter (2.01 Å) and three longer (2.03 Å) Ti–O bond lengths. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–44°. All P–O bond lengths are 1.55 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Rb1+, one Ti+3.50+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+, one Ti+3.50+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Rb1+, one Ti+3.50+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Ti+3.50+, and one P5+ atom.