ZrTiMn4 is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the trigonal P-3m1 space group. Zr(1) is bonded in a 16-coordinate geometry to three equivalent Zr(1), one Ti(1), three equivalent Mn(2), and nine equivalent Mn(1) atoms. Ti(1) is bonded in a 16-coordinate geometry to one Zr(1), three equivalent Ti(1), three equivalent Mn(3), and nine equivalent Mn(1) atoms. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to three equivalent Zr(1), three equivalent Ti(1), one Mn(2), one Mn(3), and four equivalent Mn(1) atoms to form MnZr3Ti3Mn6 cuboctahedra that share corners with two equivalent Mn(3)Ti6Mn6 cuboctahedra, corners with two equivalent Mn(2)Zr6Mn6 cuboctahedra, corners with fourteen equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra, edges with six equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra, faces with three equivalent Mn(3)Ti6Mn6 cuboctahedra, faces with three equivalent Mn(2)Zr6Mn6 cuboctahedra, and faces with twelve equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra. In the second Mn site, Mn(2) is bonded to six equivalent Zr(1) and six equivalent Mn(1) atoms to form MnZr6Mn6 cuboctahedra that share corners with twelve equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra, edges with six equivalent Mn(2)Zr6Mn6 cuboctahedra, faces with two equivalent Mn(3)Ti6Mn6 cuboctahedra, and faces with eighteen equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra. In the third Mn site, Mn(3) is bonded to six equivalent Ti(1) and six equivalent Mn(1) atoms to form MnTi6Mn6 cuboctahedra that share corners with twelve equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra, edges with six equivalent Mn(3)Ti6Mn6 cuboctahedra, faces with two equivalent Mn(2)Zr6Mn6 cuboctahedra, and faces with eighteen equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra.
ZrTiMn4 is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the trigonal P-3m1 space group. Zr(1) is bonded in a 16-coordinate geometry to three equivalent Zr(1), one Ti(1), three equivalent Mn(2), and nine equivalent Mn(1) atoms. All Zr(1)-Zr(1) bond lengths are 3.01 Å. The Zr(1)-Ti(1) bond length is 2.99 Å. All Zr(1)-Mn(2) bond lengths are 2.85 Å. There are six shorter (2.86 Å) and three longer (2.97 Å) Zr(1)-Mn(1) bond lengths. Ti(1) is bonded in a 16-coordinate geometry to one Zr(1), three equivalent Ti(1), three equivalent Mn(3), and nine equivalent Mn(1) atoms. All Ti(1)-Ti(1) bond lengths are 2.95 Å. All Ti(1)-Mn(3) bond lengths are 2.84 Å. There are three shorter (2.77 Å) and six longer (2.83 Å) Ti(1)-Mn(1) bond lengths. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to three equivalent Zr(1), three equivalent Ti(1), one Mn(2), one Mn(3), and four equivalent Mn(1) atoms to form MnZr3Ti3Mn6 cuboctahedra that share corners with two equivalent Mn(3)Ti6Mn6 cuboctahedra, corners with two equivalent Mn(2)Zr6Mn6 cuboctahedra, corners with fourteen equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra, edges with six equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra, faces with three equivalent Mn(3)Ti6Mn6 cuboctahedra, faces with three equivalent Mn(2)Zr6Mn6 cuboctahedra, and faces with twelve equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra. The Mn(1)-Mn(2) bond length is 2.53 Å. The Mn(1)-Mn(3) bond length is 2.41 Å. There are two shorter (2.35 Å) and two longer (2.49 Å) Mn(1)-Mn(1) bond lengths. In the second Mn site, Mn(2) is bonded to six equivalent Zr(1) and six equivalent Mn(1) atoms to form MnZr6Mn6 cuboctahedra that share corners with twelve equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra, edges with six equivalent Mn(2)Zr6Mn6 cuboctahedra, faces with two equivalent Mn(3)Ti6Mn6 cuboctahedra, and faces with eighteen equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra. In the third Mn site, Mn(3) is bonded to six equivalent Ti(1) and six equivalent Mn(1) atoms to form MnTi6Mn6 cuboctahedra that share corners with twelve equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra, edges with six equivalent Mn(3)Ti6Mn6 cuboctahedra, faces with two equivalent Mn(2)Zr6Mn6 cuboctahedra, and faces with eighteen equivalent Mn(1)Zr3Ti3Mn6 cuboctahedra.