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Materials Data on TiMn2V by Materials Project

TiVMn2 is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Ti is bonded in a distorted body-centered cubic geometry to six equivalent V and eight equivalent Mn atoms. All Ti–V bond lengths are 2.92 Å. All Ti–Mn bond lengths are 2.53 Å. V is bonded in a distorted body-centered cubic geometry to six equivalent Ti and eight equivalent Mn atoms. All V–Mn bond lengths are 2.53 Å. Mn is bonded in a body-centered cubic geometry to four equivalent Ti and four equivalent V atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti4Mn5V3 by Materials Project

Ti4V3Mn5 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are five inequivalent Ti sites. In the first Ti site, Ti is bonded in a 12-coordinate geometry to four Ti, five V, and seven Mn atoms. There are three shorter (2.98 Å) and one longer (2.99 Å) Ti–Ti bond lengths. There are a spread of Ti–V bond distances ranging from 2.83–2.87 Å. There are a spread of Ti–Mn bond distances ranging from 2.79–2.87 Å. In the second Ti site, Ti is bonded in a 4-coordinate geometry to four Ti, four V, and eight Mn atoms. The Ti–Ti bond length is 2.90 Å. There are a spread of Ti–V bond distances ranging from 2.83–2.88 Å. There are six shorter (2.83 Å) and two longer (2.85 Å) Ti–Mn bond lengths. In the third Ti site, Ti is bonded in a 4-coordinate geometry to four Ti, four V, and eight Mn atoms. All Ti–Ti bond lengths are 2.98 Å. There are a spread of Ti–V bond distances ranging from 2.83–2.88 Å. There are six shorter (2.83 Å) and two longer (2.85 Å) Ti–Mn bond lengths. In the fourth Ti site, Ti is bonded in a 12-coordinate geometry to four Ti, five V, and seven Mn atoms. The Ti–Ti bond length is 2.98 Å. There are a spread of Ti–V bond distances ranging from 2.83–2.87 Å. There are a spread of Ti–Mn bond distances ranging from 2.79–2.87 Å. In the fifth Ti site, Ti is bonded in a 4-coordinate geometry to four Ti, four V, and eight Mn atoms. The Ti–Ti bond length is 2.90 Å. There are a spread of Ti–V bond distances ranging from 2.83–2.88 Å. There are six shorter (2.83 Å) and two longer (2.85 Å) Ti–Mn bond lengths. There are two inequivalent V sites. In the first V site, V is bonded to six Ti, one V, and five Mn atoms to form distorted VTi6Mn5V cuboctahedra that share corners with two equivalent VTi6Mn4V2 cuboctahedra, corners with ten MnTi6Mn2V4 cuboctahedra, edges with six equivalent VTi6Mn5V cuboctahedra, faces with five VTi6Mn5V cuboctahedra, and faces with fifteen MnTi6Mn2V4 cuboctahedra. The V–V bond length is 2.51 Å. There are a spread of V–Mn bond distances ranging from 2.39–2.47 Å. In the second V site, V is bonded to six Ti, two equivalent V, and four equivalent Mn atoms to form distorted VTi6Mn4V2 cuboctahedra that share corners with eight VTi6Mn5V cuboctahedra, corners with ten MnTi6Mn4V2 cuboctahedra, edges with two equivalent VTi6Mn4V2 cuboctahedra, edges with four equivalent MnTi6Mn4V2 cuboctahedra, faces with six equivalent VTi6Mn5V cuboctahedra, and faces with twelve MnTi6Mn2V4 cuboctahedra. There are two shorter (2.37 Å) and two longer (2.49 Å) V–Mn bond lengths. There are three inequivalent Mn sites. In the first Mn site, Mn is bonded to six Ti, four V, and two equivalent Mn atoms to form distorted MnTi6Mn2V4 cuboctahedra that share corners with four equivalent VTi6Mn5V cuboctahedra, corners with fourteen MnTi6Mn2V4 cuboctahedra, edges with six MnTi6Mn2V4 cuboctahedra, faces with eight MnTi6Mn2V4 cuboctahedra, and faces with ten VTi6Mn5V cuboctahedra. There are one shorter (2.36 Å) and one longer (2.50 Å) Mn–Mn bond lengths. In the second Mn site, Mn is bonded to six Ti, two equivalent V, and four equivalent Mn atoms to form distorted MnTi6Mn4V2 cuboctahedra that share corners with six VTi6Mn5V cuboctahedra, corners with twelve MnTi6Mn2V4 cuboctahedra, edges with two equivalent MnTi6Mn4V2 cuboctahedra, edges with four equivalent VTi6Mn4V2 cuboctahedra, faces with six equivalent VTi6Mn5V cuboctahedra, and faces with twelve MnTi6Mn2V4 cuboctahedra. There are two shorter (2.34 Å) and two longer (2.52 Å) Mn–Mn bond lengths. In the third Mn site, Mn is bonded to six Ti, two equivalent V, and four Mn atoms to form distorted MnTi6Mn4V2 cuboctahedra that share corners with eight VTi6Mn5V cuboctahedra, corners with ten MnTi6Mn2V4 cuboctahedra, edges with six MnTi6Mn2V4 cuboctahedra, faces with eight VTi6Mn5V cuboctahedra, and faces with ten MnTi6Mn2V4 cuboctahedra. There are one shorter (2.33 Å) and one longer (2.53 Å) Mn–Mn bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Ti2Mn3V by Materials Project

Mn3Ti2V is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are six inequivalent Ti sites. In the first Ti site, Ti is bonded in a 12-coordinate geometry to four Ti, four equivalent V, and eight Mn atoms. There are a spread of Ti–Ti bond distances ranging from 2.92–3.11 Å. There are two shorter (2.84 Å) and two longer (2.87 Å) Ti–V bond lengths. There are a spread of Ti–Mn bond distances ranging from 2.74–2.88 Å. In the second Ti site, Ti is bonded in a 12-coordinate geometry to four Ti, two equivalent V, and ten Mn atoms. There are one shorter (2.89 Å) and two longer (2.94 Å) Ti–Ti bond lengths. Both Ti–V bond lengths are 2.86 Å. There are a spread of Ti–Mn bond distances ranging from 2.77–2.84 Å. In the third Ti site, Ti is bonded in a 12-coordinate geometry to four Ti, two equivalent V, and ten Mn atoms. There are one shorter (2.92 Å) and two longer (2.94 Å) Ti–Ti bond lengths. Both Ti–V bond lengths are 2.86 Å. There are a spread of Ti–Mn bond distances ranging from 2.77–2.84 Å. In the fourth Ti site, Ti is bonded in a 12-coordinate geometry to four Ti, four equivalent V, and eight Mn atoms. There are two shorter (2.84 Å) and two longer (2.87 Å) Ti–V bond lengths. There are a spread of Ti–Mn bond distances ranging from 2.74–2.88 Å. In the fifth Ti site, Ti is bonded in a 12-coordinate geometry to four Ti, two equivalent V, and ten Mn atoms. There are one shorter (2.89 Å) and one longer (2.92 Å) Ti–Ti bond lengths. Both Ti–V bond lengths are 2.86 Å. There are a spread of Ti–Mn bond distances ranging from 2.77–2.84 Å. In the sixth Ti site, Ti is bonded in a 12-coordinate geometry to four Ti, four equivalent V, and eight Mn atoms. The Ti–Ti bond length is 3.11 Å. There are two shorter (2.84 Å) and two longer (2.87 Å) Ti–V bond lengths. There are a spread of Ti–Mn bond distances ranging from 2.74–2.88 Å. V is bonded to six Ti, two equivalent V, and four Mn atoms to form distorted VTi6Mn4V2 cuboctahedra that share corners with four equivalent VTi6Mn4V2 cuboctahedra, corners with fourteen MnTi6Mn6 cuboctahedra, edges with two equivalent VTi6Mn4V2 cuboctahedra, edges with four equivalent MnTi6Mn6 cuboctahedra, faces with four equivalent VTi6Mn4V2 cuboctahedra, and faces with fourteen MnTi6Mn2V4 cuboctahedra. There are one shorter (2.40 Å) and one longer (2.44 Å) V–V bond lengths. There are a spread of V–Mn bond distances ranging from 2.35–2.49 Å. There are four inequivalent Mn sites. In the first Mn site, Mn is bonded to six Ti, four equivalent V, and two equivalent Mn atoms to form distorted MnTi6Mn2V4 cuboctahedra that share corners with eighteen MnTi6Mn2V4 cuboctahedra, edges with six MnTi6Mn2V4 cuboctahedra, faces with eight equivalent VTi6Mn4V2 cuboctahedra, and faces with ten MnTi6Mn6 cuboctahedra. Both Mn–Mn bond lengths are 2.47 Å. In the second Mn site, Mn is bonded to six Ti and six Mn atoms to form MnTi6Mn6 cuboctahedra that share corners with six equivalent VTi6Mn4V2 cuboctahedra, corners with twelve MnTi6Mn2V4 cuboctahedra, edges with two equivalent MnTi6Mn6 cuboctahedra, edges with four equivalent VTi6Mn4V2 cuboctahedra, faces with two equivalent VTi6Mn4V2 cuboctahedra, and faces with sixteen MnTi6Mn2V4 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.32–2.49 Å. In the third Mn site, Mn is bonded to six Ti and six Mn atoms to form MnTi6Mn6 cuboctahedra that share corners with eight equivalent VTi6Mn4V2 cuboctahedra, corners with ten MnTi6Mn2V4 cuboctahedra, edges with six MnTi6Mn2V4 cuboctahedra, faces with four equivalent VTi6Mn4V2 cuboctahedra, and faces with fourteen MnTi6Mn6 cuboctahedra. Both Mn–Mn bond lengths are 2.39 Å. In the fourth Mn site, Mn is bonded to six Ti, two equivalent V, and four Mn atoms to form distorted MnTi6Mn4V2 cuboctahedra that share corners with four equivalent VTi6Mn4V2 cuboctahedra, corners with eight MnTi6Mn2V4 cuboctahedra, edges with six equivalent MnTi6Mn4V2 cuboctahedra, faces with six equivalent VTi6Mn4V2 cuboctahedra, and faces with fourteen MnTi6Mn2V4 cuboctahedra.

36 MATERIALS SCIENCE↗