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NaN3 is Uranium Silicide structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Na1+ is bonded to twelve equivalent N+0.33- atoms to form a mixture of corner and face-sharing NaN12 cuboctahedra. All Na–N bond lengths are 2.33 Å. N+0.33- is bonded in a square co-planar geometry to four equivalent Na1+ atoms.
WN2 crystallizes in the cubic Pa-3 space group. The structure is three-dimensional. W6+ is bonded to six equivalent N3- atoms to form corner-sharing WN6 octahedra. The corner-sharing octahedral tilt angles are 61°. All W–N bond lengths are 2.05 Å. N3- is bonded in a trigonal planar geometry to three equivalent W6+ atoms.
TbRh2B2C crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Tb3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Tb–C bond lengths are 2.70 Å. Rh+3.50+ is bonded to four equivalent B3- atoms to form a mixture of corner and edge-sharing RhB4 tetrahedra. All Rh–B bond lengths are 2.19 Å. B3- is bonded in a distorted single-bond geometry to four equivalent Rh+3.50+ and one C4- atom. The B–C bond length is 1.50 Å. C4- is bonded in a distorted linear geometry to four equivalent Tb3+ and two equivalent B3- atoms.
YRh2B2C crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Y3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Y–C bond lengths are 2.69 Å. Rh+3.50+ is bonded to four equivalent B3- atoms to form a mixture of edge and corner-sharing RhB4 tetrahedra. All Rh–B bond lengths are 2.19 Å. B3- is bonded in a distorted single-bond geometry to four equivalent Rh+3.50+ and one C4- atom. The B–C bond length is 1.50 Å. C4- is bonded in a distorted linear geometry to four equivalent Y3+ and two equivalent B3- atoms.
GdRh2B2C crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Gd3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Gd–C bond lengths are 2.70 Å. Rh+3.50+ is bonded to four equivalent B3- atoms to form a mixture of edge and corner-sharing RhB4 tetrahedra. All Rh–B bond lengths are 2.20 Å. B3- is bonded in a distorted single-bond geometry to four equivalent Rh+3.50+ and one C4- atom. The B–C bond length is 1.50 Å. C4- is bonded in a distorted linear geometry to four equivalent Gd3+ and two equivalent B3- atoms.
FeAgTe2 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. Fe3+ is bonded in a square co-planar geometry to four equivalent Te2- atoms. All Fe–Te bond lengths are 2.55 Å. There are two inequivalent Ag1+ sites. In the first Ag1+ site, Ag1+ is bonded in a 6-coordinate geometry to three equivalent Te2- atoms. All Ag–Te bond lengths are 3.02 Å. In the second Ag1+ site, Ag1+ is bonded in a distorted octahedral geometry to six equivalent Te2- atoms. All Ag–Te bond lengths are 2.89 Å. Te2- is bonded in a 4-coordinate geometry to two equivalent Fe3+ and two Ag1+ atoms.
PrRh2B2C crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Pr3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Pr–C bond lengths are 2.75 Å. Rh+3.50+ is bonded to four equivalent B3- atoms to form a mixture of corner and edge-sharing RhB4 tetrahedra. All Rh–B bond lengths are 2.22 Å. B3- is bonded in a distorted single-bond geometry to four equivalent Rh+3.50+ and one C4- atom. The B–C bond length is 1.50 Å. C4- is bonded in a distorted linear geometry to four equivalent Pr3+ and two equivalent B3- atoms.
LaRh2B2C crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. La3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All La–C bond lengths are 2.76 Å. Rh+3.50+ is bonded to four equivalent B3- atoms to form a mixture of edge and corner-sharing RhB4 tetrahedra. All Rh–B bond lengths are 2.23 Å. B3- is bonded in a distorted single-bond geometry to four equivalent Rh+3.50+ and one C4- atom. The B–C bond length is 1.50 Å. C4- is bonded in a distorted linear geometry to four equivalent La3+ and two equivalent B3- atoms.
NdRh2B2C crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Nd3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Nd–C bond lengths are 2.74 Å. Rh+3.50+ is bonded to four equivalent B3- atoms to form a mixture of edge and corner-sharing RhB4 tetrahedra. All Rh–B bond lengths are 2.21 Å. B3- is bonded in a distorted single-bond geometry to four equivalent Rh+3.50+ and one C4- atom. The B–C bond length is 1.50 Å. C4- is bonded in a distorted linear geometry to four equivalent Nd3+ and two equivalent B3- atoms.
SmRh2B2C crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Sm3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Sm–C bond lengths are 2.72 Å. Rh+3.50+ is bonded to four equivalent B3- atoms to form a mixture of corner and edge-sharing RhB4 tetrahedra. All Rh–B bond lengths are 2.20 Å. B3- is bonded in a distorted single-bond geometry to four equivalent Rh+3.50+ and one C4- atom. The B–C bond length is 1.50 Å. C4- is bonded in a distorted linear geometry to four equivalent Sm3+ and two equivalent B3- atoms.
HoRh2B2C crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Ho3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Ho–C bond lengths are 2.69 Å. Rh+3.50+ is bonded to four equivalent B3- atoms to form a mixture of edge and corner-sharing RhB4 tetrahedra. All Rh–B bond lengths are 2.19 Å. B3- is bonded in a distorted single-bond geometry to four equivalent Rh+3.50+ and one C4- atom. The B–C bond length is 1.49 Å. C4- is bonded in a distorted linear geometry to four equivalent Ho3+ and two equivalent B3- atoms.
DyRh2B2C crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Dy3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Dy–C bond lengths are 2.70 Å. Rh+3.50+ is bonded to four equivalent B3- atoms to form a mixture of corner and edge-sharing RhB4 tetrahedra. All Rh–B bond lengths are 2.19 Å. B3- is bonded in a distorted single-bond geometry to four equivalent Rh+3.50+ and one C4- atom. The B–C bond length is 1.49 Å. C4- is bonded in a distorted linear geometry to four equivalent Dy3+ and two equivalent B3- atoms.
LaIr2B2C crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. La3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All La–C bond lengths are 2.75 Å. Ir+3.50+ is bonded to four equivalent B3- atoms to form a mixture of edge and corner-sharing IrB4 tetrahedra. All Ir–B bond lengths are 2.24 Å. B3- is bonded in a distorted single-bond geometry to four equivalent Ir+3.50+ and one C4- atom. The B–C bond length is 1.52 Å. C4- is bonded in a distorted linear geometry to four equivalent La3+ and two equivalent B3- atoms.
In this study, a method for using arrays of mesoscale structures to modify the apparent optical properties of an opaque composite surface has been theoretically demonstrated to both raise and lower the apparent emissivity as compared to the intrinsic properties of the constitutive materials. For design problems where thermomechanical and optical material properties are both of importance, mesoscale surface structuring can greatly expand the design space. Analysis via the net radiosity method herein illustrates the ability to achieve a wide range of spectral apparent optical properties. Notably, a hexagonal array of spheres on a planar surface can raise the apparent emissivity of a planar surface by 50%. Conversely, a hexagonal enclosure of reradiating surfaces, realized by thin adiabatic walls, can reduce the apparent emissivity of a blackbody by half. As this method of modifying apparent optical properties utilizes structures much larger than the wavelengths of interest, the relationship between intrinsic planar emissivity, geometry, and apparent emissivity can be computed semi-analytically at low computational expense. Passive solar cooling, thermophotovoltaic cells, aerodynamic surfaces exposed to intense heating, and solar absorbers are presented as case studies that could benefit from the use of mesoscale structures on opaque surfaces to modify the apparent optical properties.
LaTi6(PO4)9 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. La3+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of La–O bond distances ranging from 2.49–2.53 Å. There are six 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 1.92–2.03 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 1.88–2.06 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 1.90–2.05 Å. In the fourth 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 1.84–2.10 Å. In the fifth 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 1.92–1.99 Å. In the sixth 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 1.83–2.10 Å. There are nine 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 26–35°. There are a spread of P–O bond distances ranging from 1.52–1.57 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 29–42°. There are a spread of P–O bond distances ranging from 1.53–1.57 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 24–44°. There are a spread of P–O bond distances ranging from 1.52–1.58 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 28–42°. There are a spread of P–O bond distances ranging from 1.53–1.56 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 23–36°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the sixth 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 29–42°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the seventh 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 24–44°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eighth 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 28–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the ninth 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 27–34°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. There are thirty-six 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 distorted bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted 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 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 distorted bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti4+ 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 bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ 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 Ti4+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ 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 bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ 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 bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ 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. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one La3+, one Ti4+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one La3+, one Ti4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one La3+, one Ti4+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one La3+, one Ti4+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one La3+, one Ti4+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one La3+, one Ti4+, and one P5+ atom.
CeIr2B2C crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Ce3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Ce–C bond lengths are 2.73 Å. Ir+3.50+ is bonded to four equivalent B3- atoms to form a mixture of corner and edge-sharing IrB4 tetrahedra. All Ir–B bond lengths are 2.21 Å. B3- is bonded in a distorted single-bond geometry to four equivalent Ir+3.50+ and one C4- atom. The B–C bond length is 1.52 Å. C4- is bonded in a distorted linear geometry to four equivalent Ce3+ and two equivalent B3- atoms.
CeRh2B2C crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Ce3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Ce–C bond lengths are 2.73 Å. Rh+3.50+ is bonded to four equivalent B3- atoms to form a mixture of edge and corner-sharing RhB4 tetrahedra. All Rh–B bond lengths are 2.20 Å. B3- is bonded in a distorted single-bond geometry to four equivalent Rh+3.50+ and one C4- atom. The B–C bond length is 1.50 Å. C4- is bonded in a distorted linear geometry to four equivalent Ce3+ and two equivalent B3- atoms.
BaCa3Zr16(PO4)24 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Ba is bonded in a distorted hexagonal planar geometry to six O atoms. All Ba–O bond lengths are 2.67 Å. There are two inequivalent Ca sites. In the first Ca site, Ca is bonded in a distorted hexagonal planar geometry to six O atoms. There are one shorter (2.50 Å) and five longer (2.51 Å) Ca–O bond lengths. In the second Ca site, Ca is bonded in a distorted hexagonal planar geometry to six O atoms. There are four shorter (2.50 Å) and two longer (2.51 Å) Ca–O bond lengths. There are eight inequivalent Zr sites. In the first Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are three shorter (2.04 Å) and three longer (2.16 Å) Zr–O bond lengths. In the second Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.19 Å. In the third Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are three shorter (2.05 Å) and three longer (2.19 Å) Zr–O bond lengths. In the fourth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.19 Å. In the fifth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.07–2.12 Å. In the sixth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.07–2.13 Å. In the seventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.08–2.16 Å. In the eighth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.07–2.15 Å. There are twelve inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–41°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–34°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–41°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–41°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–41°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–35°. There is three shorter (1.54 Å) and one longer (1.55 Å) P–O bond length. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the tenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–41°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–35°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the twelfth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the second O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the third O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the eighth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the ninth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the tenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the eleventh O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twelfth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fourteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twentieth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-second O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-fourth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-fifth O site, O is bonded in a 3-coordinate geometry to one Ca, one Zr, and one P atom. In the twenty-sixth O site, O is bonded in a 3-coordinate geometry to one Ba, one Zr, and one P atom. In the twenty-seventh O site, O is bonded in a 3-coordinate geometry to one Ca, one Zr, and one P atom. In the twenty-eighth O site, O is bonded in a 3-coordinate geometry to one Ca, one Zr, and one P atom. In the twenty-ninth O site, O is bonded in a 3-coordinate geometry to one Ca, one Zr, and one P atom. In the thirtieth O site, O is bonded in a 3-coordinate geometry to one Ba, one Zr, and one P atom. In the thirty-first O site, O is bonded in a 3-coordinate geometry to one Ca, one Zr, and one P atom. In the thirty-second O site, O is bonded in a 3-coordinate geometry to one Ca, one Zr, and one P atom. In the thirty-third O site, O is bonded in a 3-coordinate geometry to one Ba, one Zr, and one P atom. In the thirty-fourth O site, O is bonded in a 3-coordinate geometry to one Ca, one Zr, and one P atom. In the thirty-fifth O site, O is bonded in a 3-coordinate geometry to one Ca, one Zr, and one P atom. In the thirty-sixth O site, O is bonded in a 3-coordinate geometry to one Ca, one Zr, and one P atom. In the thirty-seventh O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-eighth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-ninth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fortieth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the forty-first O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the forty-second O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the forty-third O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the forty-fourth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the forty-fifth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the forty-sixth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the forty-seventh O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the forty-eighth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom.