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Materials Data on Ca3(PO4)2 by Materials Project

Ca3(PO4)2 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to four O2- atoms. There are two shorter (2.37 Å) and two longer (2.43 Å) Ca–O bond lengths. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.28–2.59 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 six equivalent CaO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There is two shorter (1.55 Å) and two longer (1.56 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 six equivalent CaO6 octahedra. The corner-sharing octahedra tilt angles range from 37–57°. There is two shorter (1.52 Å) and two longer (1.59 Å) P–O bond length. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ca2+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ca2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ca3(PO4)2 by Materials Project

Ca3(PO4)2 crystallizes in the trigonal R3 space group. The structure is three-dimensional. there are nine inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a distorted T-shaped geometry to three equivalent O2- atoms. All Ca–O bond lengths are 2.23 Å. In the second Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.26–2.45 Å. In the third Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.25–2.83 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 pentagonal pyramids that share corners with four PO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.29–2.67 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.26–2.78 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.26–2.69 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.26–2.85 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 3-coordinate geometry to three equivalent O2- atoms. All Ca–O bond lengths are 2.26 Å. In the ninth Ca2+ site, Ca2+ is bonded in a 3-coordinate geometry to six O2- atoms. There are three shorter (2.34 Å) and three longer (2.81 Å) Ca–O bond lengths. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.52 Å) and three longer (1.57 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 two equivalent CaO6 pentagonal pyramids. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CaO6 pentagonal pyramid. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent CaO6 pentagonal pyramids. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.68 Å. In the sixth P5+ site, P5+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.69 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted tetrahedral geometry to three equivalent Ca2+ and one P5+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, one P5+, and one O2- atom. The O–O bond length is 1.52 Å. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+ and one O2- atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to three equivalent Ca2+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Ca2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one O2- atom. The O–O bond length is 1.51 Å. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+, one P5+, and one O2- atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to three Ca2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ca3(PO4)2 by Materials Project

Ca3(PO4)2 crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 12-coordinate geometry to six equivalent O2- atoms. All Ca–O bond lengths are 2.46 Å. In the second Ca2+ site, Ca2+ is bonded in a 1-coordinate geometry to ten O2- atoms. There are a spread of Ca–O bond distances ranging from 2.24–2.72 Å. P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.54 Å) and three longer (1.56 Å) P–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to one Ca2+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to four Ca2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ca3(PO4)2 by Materials Project

Ca3(PO4)2 crystallizes in the trigonal R3 space group. The structure is three-dimensional. there are nine inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six PO4 tetrahedra. There are three shorter (2.26 Å) and three longer (2.30 Å) Ca–O bond lengths. In the second Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.34–2.79 Å. In the third Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.71 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.79 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.35–2.56 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ca–O bond distances ranging from 2.41–2.93 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.93 Å. In the eighth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six PO4 tetrahedra. There are three shorter (2.29 Å) and three longer (2.30 Å) Ca–O bond lengths. In the ninth Ca2+ site, Ca2+ is bonded in a 3-coordinate geometry to six O2- atoms. There are three shorter (2.39 Å) and three longer (2.70 Å) Ca–O bond lengths. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.53 Å) and three longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CaO6 octahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CaO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is three shorter (1.56 Å) and one longer (1.57 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CaO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CaO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+ and one P5+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted tetrahedral geometry to three equivalent Ca2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to three equivalent Ca2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Combustion Synthesis of Ca3(PO4)2 Net-Shape Surgical Implants

Self-propagating high-temperature combustion synthesis (SHS) is the basis of a method of making components of porous tricalcium phosphate [Ca3(PO4)2] and related compounds in net sizes and shapes for use as surgical implants that are compatible with bone. The SHS method offers advantages over prior methods of manufacturing Ca3(PO4)2-based surgical implants.

Ayers, Reed A.↗

The Effect of Gravity on the Combustion Synthesis of Porous Biomaterials

Production of highly porous composite materials by traditional materials processing is limited by difficult processing techniques. This work investigates the use of self propagating high temperature (combustion) synthesis (SHS) to create porous tricalcium phosphate (Ca3(PO4)2), TiB-Ti, and NiTi in low and microgravity. Combustion synthesis provides the ability to use set processing parameters to engineer the required porous structure suitable for bone repair or replacement. The processing parameters include green density, particle size, gasifying agents, composition, and gravity. The advantage of the TiB-Ti system is the high level of porosity achieved together with a modulus that can be controlled by both composition (TiB-Ti) and porosity. At the same time, NiTi exhibits shape memory properties. SHS of biomaterials allows the engineering of required porosity coupled with resorbtion properties and specific mechanical properties into the composite materials to allow for a better biomaterial.

Castillo, M.↗

NASA Tech Briefs, May 2006

T-Shaped Emitter Metal Structures for HBTs Rigorous Estimation of SNR of a PSK Communication Link Advanced Ka-Band Transceiver With Monopulse Tracking EMI Filters for Low-Temperature Applications Lightweight Electronic Camera for Research on Clouds Pilot Weather Advisor System Waveguide Power-Amplifier Module for 80 to 150 GHz Better Back Contacts for Solar Cells on Flexible Substrates Topics covered include:Tunable, Highly Stable Lasers for Coherent Lidar; Improved Photon-Emission-Microscope System; Program Synthesizes UML Sequence Diagrams; Aspect-Oriented Subprogram Synthesizes UML Sequence Diagrams; Updated Computational Model of Cosmic Rays Near Earth; Software for Alignment of Segments of a Telescope Mirror; Simulation of Dropping of Cargo With Parachutes; DAVE-ML Utility Program; Robust Control for the Mercury Laser Altimeter; Thermally Stable Piezoelectric and Pyroelectric Polymers; Combustion Synthesis of Ca3(PO4)2 Net-Shape Surgical Implants; Stochastic Representation of Chaos Using Terminal Attractors; Two High-Temperature Foil Journal Bearings; Using Plates To Represent Fillets in Finite-Element Modeling; Repairing Chipped Silicide Coatings on Refractory Metal Substrates; Simplified Fabrication of Helical Copper Antennas; Graded-Index "Whispering-Gallery" Optical Microresonators; Optical Profilometers Using Adaptive Signal Processing; Manufacture of Sparse-Spectrum Optical Microresonators; Exact Tuning of High-Q Optical Microresonators by Use of UV; Automation for "Direct-to" Clearances in Air-Traffic Control; Improved Traps for Removing Gases From Coolant Liquids; and Lunar Constellation of Frozen Elliptical Inclined Orbits.

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