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Materials Data on Mg5Ti by Materials Project

Mg5Ti crystallizes in the trigonal R32 space group. The structure is three-dimensional. there are four inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Ti atoms to form MgMg10Ti2 cuboctahedra that share corners with eighteen MgMg10Ti2 cuboctahedra, edges with four equivalent TiMg12 cuboctahedra, edges with fourteen MgMg10Ti2 cuboctahedra, faces with four equivalent TiMg12 cuboctahedra, and faces with sixteen MgMg10Ti2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.08–3.20 Å. Both Mg–Ti bond lengths are 3.18 Å. In the second Mg site, Mg is bonded to nine Mg and three equivalent Ti atoms to form distorted MgMg9Ti3 cuboctahedra that share corners with six equivalent TiMg12 cuboctahedra, corners with twelve equivalent MgMg9Ti3 cuboctahedra, edges with eighteen MgMg10Ti2 cuboctahedra, faces with four equivalent TiMg12 cuboctahedra, and faces with sixteen MgMg10Ti2 cuboctahedra. There are three shorter (3.11 Å) and two longer (3.20 Å) Mg–Mg bond lengths. All Mg–Ti bond lengths are 3.11 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Ti atoms to form MgMg10Ti2 cuboctahedra that share corners with eighteen MgMg10Ti2 cuboctahedra, edges with four equivalent TiMg12 cuboctahedra, edges with fourteen MgMg9Ti3 cuboctahedra, faces with four equivalent TiMg12 cuboctahedra, and faces with sixteen MgMg10Ti2 cuboctahedra. There are four shorter (3.08 Å) and two longer (3.17 Å) Mg–Mg bond lengths. Both Mg–Ti bond lengths are 3.18 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Ti atoms to form MgMg10Ti2 cuboctahedra that share corners with eighteen MgMg10Ti2 cuboctahedra, edges with four equivalent TiMg12 cuboctahedra, edges with fourteen MgMg9Ti3 cuboctahedra, faces with four equivalent TiMg12 cuboctahedra, and faces with sixteen MgMg10Ti2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.08–3.20 Å. Both Mg–Ti bond lengths are 3.18 Å. Ti is bonded to twelve Mg atoms to form TiMg12 cuboctahedra that share corners with six equivalent TiMg12 cuboctahedra, corners with twelve equivalent MgMg9Ti3 cuboctahedra, edges with six equivalent TiMg12 cuboctahedra, edges with twelve MgMg10Ti2 cuboctahedra, and faces with twenty MgMg10Ti2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Ti4 by Materials Project

Mg3Ti4 is beta-derived structured and crystallizes in the hexagonal P6_3/m space group. The structure is three-dimensional. Mg is bonded to six equivalent Mg and six Ti atoms to form distorted MgMg6Ti6 cuboctahedra that share corners with six equivalent MgMg6Ti6 cuboctahedra, corners with twelve TiMg3Ti9 cuboctahedra, edges with four equivalent MgMg6Ti6 cuboctahedra, edges with fourteen TiMg3Ti9 cuboctahedra, faces with ten equivalent MgMg6Ti6 cuboctahedra, and faces with ten TiMg3Ti9 cuboctahedra. There are four shorter (2.98 Å) and two longer (3.15 Å) Mg–Mg bond lengths. There are a spread of Mg–Ti bond distances ranging from 2.94–3.10 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to three equivalent Mg and nine equivalent Ti atoms to form distorted TiMg3Ti9 cuboctahedra that share corners with nine equivalent MgMg6Ti6 cuboctahedra, corners with nine equivalent TiMg5Ti7 cuboctahedra, edges with nine equivalent MgMg6Ti6 cuboctahedra, edges with nine TiMg3Ti9 cuboctahedra, faces with nine equivalent MgMg6Ti6 cuboctahedra, and faces with eleven TiMg3Ti9 cuboctahedra. There are six shorter (2.90 Å) and three longer (3.10 Å) Ti–Ti bond lengths. In the second Ti site, Ti is bonded to five equivalent Mg and seven Ti atoms to form distorted TiMg5Ti7 cuboctahedra that share corners with nine equivalent MgMg6Ti6 cuboctahedra, corners with nine TiMg3Ti9 cuboctahedra, edges with seven TiMg3Ti9 cuboctahedra, edges with eleven equivalent MgMg6Ti6 cuboctahedra, faces with seven equivalent MgMg6Ti6 cuboctahedra, and faces with thirteen TiMg3Ti9 cuboctahedra. There are two shorter (2.91 Å) and two longer (2.98 Å) Ti–Ti bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on MgTi by Materials Project

MgTi crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are three inequivalent Mg sites. In the first Mg site, Mg is bonded to four Mg and eight Ti atoms to form distorted MgMg4Ti8 cuboctahedra that share corners with four equivalent TiMg4Ti8 cuboctahedra, corners with eight MgMg4Ti8 cuboctahedra, edges with eleven MgMg7Ti5 cuboctahedra, faces with six equivalent TiMg4Ti8 cuboctahedra, and faces with eight MgMg4Ti8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.00–3.06 Å. There are a spread of Mg–Ti bond distances ranging from 3.01–3.12 Å. In the second Mg site, Mg is bonded to seven Mg and five Ti atoms to form distorted MgMg7Ti5 cuboctahedra that share corners with two equivalent TiMg4Ti8 cuboctahedra, corners with ten MgMg4Ti8 cuboctahedra, edges with four equivalent TiMg4Ti8 cuboctahedra, edges with eleven MgMg4Ti8 cuboctahedra, faces with three equivalent TiMg4Ti8 cuboctahedra, and faces with nine MgMg4Ti8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 2.99–3.17 Å. There are a spread of Mg–Ti bond distances ranging from 3.08–3.20 Å. In the third Mg site, Mg is bonded to seven Mg and five Ti atoms to form distorted MgMg7Ti5 cuboctahedra that share corners with four equivalent TiMg4Ti8 cuboctahedra, corners with eight MgMg4Ti8 cuboctahedra, edges with seven equivalent TiMg4Ti8 cuboctahedra, edges with eight MgMg4Ti8 cuboctahedra, a faceface with one TiMg4Ti8 cuboctahedra, and faces with eleven MgMg4Ti8 cuboctahedra. Both Mg–Mg bond lengths are 3.03 Å. There are a spread of Mg–Ti bond distances ranging from 3.07–3.34 Å. There are three inequivalent Ti sites. In the first Ti site, Ti is bonded to four Mg and eight Ti atoms to form TiMg4Ti8 cuboctahedra that share corners with two equivalent TiMg4Ti8 cuboctahedra, corners with ten MgMg4Ti8 cuboctahedra, edges with eleven MgMg7Ti5 cuboctahedra, faces with four equivalent TiMg4Ti8 cuboctahedra, and faces with ten MgMg4Ti8 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.72–2.88 Å. In the second Ti site, Ti is bonded in a 12-coordinate geometry to seven Mg and four Ti atoms. The Ti–Ti bond length is 2.73 Å. In the third Ti site, Ti is bonded in a 12-coordinate geometry to seven Mg and four Ti atoms.

36 MATERIALS SCIENCE↗