Tm3Pr3Mn23 crystallizes in the trigonal R3m space group. Tm(1) is bonded in a 12-coordinate geometry to one Mn(3), one Mn(4), one Mn(8), one Mn(9), two equivalent Mn(10), two equivalent Mn(11), two equivalent Mn(2), and two equivalent Mn(7) atoms. Pr(1) is bonded in a 12-coordinate geometry to one Mn(1), one Mn(2), one Mn(6), one Mn(7), two equivalent Mn(10), two equivalent Mn(11), two equivalent Mn(4), and two equivalent Mn(9) atoms. There are eleven inequivalent Mn sites. In the first Mn site, Mn(9) is bonded in a 13-coordinate geometry to one Tm(1), two equivalent Pr(1), one Mn(10), one Mn(3), one Mn(5), one Mn(6), two equivalent Mn(11), two equivalent Mn(4), and two equivalent Mn(7) atoms. In the second Mn site, Mn(10) is bonded to two equivalent Tm(1), two equivalent Pr(1), one Mn(6), one Mn(7), one Mn(8), one Mn(9), two equivalent Mn(2), and two equivalent Mn(4) atoms to form MnPr2Tm2Mn8 cuboctahedra that share corners with two equivalent Mn(1)Pr3Mn9 cuboctahedra, corners with two equivalent Mn(2)PrTm2Mn9 cuboctahedra, corners with two equivalent Mn(3)Tm3Mn9 cuboctahedra, corners with four equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra,  a faceface with one Mn(1)Pr3Mn9 cuboctahedra,  a faceface with one Mn(3)Tm3Mn9 cuboctahedra, faces with three equivalent Mn(2)PrTm2Mn9 cuboctahedra, faces with four equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, and faces with four equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra. In the third Mn site, Mn(11) is bonded to two equivalent Tm(1), two equivalent Pr(1), one Mn(1), one Mn(2), one Mn(3), one Mn(4), two equivalent Mn(7), and two equivalent Mn(9) atoms to form MnPr2Tm2Mn8 cuboctahedra that share corners with four equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, corners with four equivalent Mn(2)PrTm2Mn9 cuboctahedra,  a faceface with one Mn(1)Pr3Mn9 cuboctahedra,  a faceface with one Mn(3)Tm3Mn9 cuboctahedra, faces with three equivalent Mn(2)PrTm2Mn9 cuboctahedra, faces with four equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, and faces with four equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra. In the fourth Mn site, Mn(1) is bonded to three equivalent Pr(1), three equivalent Mn(11), three equivalent Mn(2), and three equivalent Mn(7) atoms to form distorted MnPr3Mn9 cuboctahedra that share corners with three equivalent Mn(2)PrTm2Mn9 cuboctahedra, corners with three equivalent Mn(3)Tm3Mn9 cuboctahedra, corners with six equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, faces with three equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, faces with three equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra, and faces with three equivalent Mn(2)PrTm2Mn9 cuboctahedra. In the fifth Mn site, Mn(2) is bonded to two equivalent Tm(1), one Pr(1), one Mn(1), one Mn(11), one Mn(6), two equivalent Mn(10), two equivalent Mn(2), and two equivalent Mn(7) atoms to form distorted MnPrTm2Mn9 cuboctahedra that share  a cornercorner with one Mn(1)Pr3Mn9 cuboctahedra, corners with two equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, corners with two equivalent Mn(2)PrTm2Mn9 cuboctahedra, corners with four equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra,  a faceface with one Mn(1)Pr3Mn9 cuboctahedra,  a faceface with one Mn(3)Tm3Mn9 cuboctahedra, faces with two equivalent Mn(2)PrTm2Mn9 cuboctahedra, faces with three equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, and faces with three equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra. In the sixth Mn site, Mn(3) is bonded to three equivalent Tm(1), three equivalent Mn(11), three equivalent Mn(4), and three equivalent Mn(9) atoms to form distorted MnTm3Mn9 cuboctahedra that share corners with three equivalent Mn(1)Pr3Mn9 cuboctahedra, corners with six equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, faces with three equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, faces with three equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra, and faces with three equivalent Mn(2)PrTm2Mn9 cuboctahedra. In the seventh Mn site, Mn(4) is bonded in a distorted q6 geometry to one Tm(1), two equivalent Pr(1), one Mn(11), one Mn(3), one Mn(8), two equivalent Mn(10), two equivalent Mn(4), and two equivalent Mn(9) atoms. In the eighth Mn site, Mn(5) is bonded in a body-centered cubic geometry to one Mn(6), one Mn(8), three equivalent Mn(7), and three equivalent Mn(9) atoms. In the ninth Mn site, Mn(6) is bonded in a 13-coordinate geometry to three equivalent Pr(1), one Mn(5), three equivalent Mn(10), three equivalent Mn(2), and three equivalent Mn(9) atoms. In the tenth Mn site, Mn(7) is bonded in a 13-coordinate geometry to two equivalent Tm(1), one Pr(1), one Mn(1), one Mn(10), one Mn(5), one Mn(8), two equivalent Mn(11), two equivalent Mn(2), and two equivalent Mn(9) atoms. In the eleventh Mn site, Mn(8) is bonded in a 13-coordinate geometry to three equivalent Tm(1), one Mn(5), three equivalent Mn(10), three equivalent Mn(4), and three equivalent Mn(7) atoms.
Tm3Pr3Mn23 crystallizes in the trigonal R3m space group. Tm(1) is bonded in a 12-coordinate geometry to one Mn(3), one Mn(4), one Mn(8), one Mn(9), two equivalent Mn(10), two equivalent Mn(11), two equivalent Mn(2), and two equivalent Mn(7) atoms. The Tm(1)-Mn(3) bond length is 3.09 Å. The Tm(1)-Mn(4) bond length is 3.15 Å. The Tm(1)-Mn(8) bond length is 2.92 Å. The Tm(1)-Mn(9) bond length is 2.87 Å. Both Tm(1)-Mn(10) bond lengths are 3.09 Å. Both Tm(1)-Mn(11) bond lengths are 3.00 Å. Both Tm(1)-Mn(2) bond lengths are 3.12 Å. Both Tm(1)-Mn(7) bond lengths are 2.89 Å. Pr(1) is bonded in a 12-coordinate geometry to one Mn(1), one Mn(2), one Mn(6), one Mn(7), two equivalent Mn(10), two equivalent Mn(11), two equivalent Mn(4), and two equivalent Mn(9) atoms. The Pr(1)-Mn(1) bond length is 3.16 Å. The Pr(1)-Mn(2) bond length is 3.10 Å. The Pr(1)-Mn(6) bond length is 2.95 Å. The Pr(1)-Mn(7) bond length is 2.98 Å. Both Pr(1)-Mn(10) bond lengths are 3.11 Å. Both Pr(1)-Mn(11) bond lengths are 3.18 Å. Both Pr(1)-Mn(4) bond lengths are 3.13 Å. Both Pr(1)-Mn(9) bond lengths are 2.97 Å. There are eleven inequivalent Mn sites. In the first Mn site, Mn(9) is bonded in a 13-coordinate geometry to one Tm(1), two equivalent Pr(1), one Mn(10), one Mn(3), one Mn(5), one Mn(6), two equivalent Mn(11), two equivalent Mn(4), and two equivalent Mn(7) atoms. The Mn(9)-Mn(10) bond length is 2.74 Å. The Mn(9)-Mn(3) bond length is 2.67 Å. The Mn(9)-Mn(5) bond length is 2.54 Å. The Mn(9)-Mn(6) bond length is 2.91 Å. Both Mn(9)-Mn(11) bond lengths are 2.69 Å. Both Mn(9)-Mn(4) bond lengths are 2.69 Å. Both Mn(9)-Mn(7) bond lengths are 2.89 Å. In the second Mn site, Mn(10) is bonded to two equivalent Tm(1), two equivalent Pr(1), one Mn(6), one Mn(7), one Mn(8), one Mn(9), two equivalent Mn(2), and two equivalent Mn(4) atoms to form MnPr2Tm2Mn8 cuboctahedra that share corners with two equivalent Mn(1)Pr3Mn9 cuboctahedra, corners with two equivalent Mn(2)PrTm2Mn9 cuboctahedra, corners with two equivalent Mn(3)Tm3Mn9 cuboctahedra, corners with four equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra,  a faceface with one Mn(1)Pr3Mn9 cuboctahedra,  a faceface with one Mn(3)Tm3Mn9 cuboctahedra, faces with three equivalent Mn(2)PrTm2Mn9 cuboctahedra, faces with four equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, and faces with four equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra. The Mn(10)-Mn(6) bond length is 2.73 Å. The Mn(10)-Mn(7) bond length is 2.67 Å. The Mn(10)-Mn(8) bond length is 2.68 Å. Both Mn(10)-Mn(2) bond lengths are 2.51 Å. Both Mn(10)-Mn(4) bond lengths are 2.50 Å. In the third Mn site, Mn(11) is bonded to two equivalent Tm(1), two equivalent Pr(1), one Mn(1), one Mn(2), one Mn(3), one Mn(4), two equivalent Mn(7), and two equivalent Mn(9) atoms to form MnPr2Tm2Mn8 cuboctahedra that share corners with four equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, corners with four equivalent Mn(2)PrTm2Mn9 cuboctahedra,  a faceface with one Mn(1)Pr3Mn9 cuboctahedra,  a faceface with one Mn(3)Tm3Mn9 cuboctahedra, faces with three equivalent Mn(2)PrTm2Mn9 cuboctahedra, faces with four equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, and faces with four equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra. The Mn(11)-Mn(1) bond length is 2.54 Å. The Mn(11)-Mn(2) bond length is 2.45 Å. The Mn(11)-Mn(3) bond length is 2.48 Å. The Mn(11)-Mn(4) bond length is 2.58 Å. Both Mn(11)-Mn(7) bond lengths are 2.70 Å. In the fourth Mn site, Mn(1) is bonded to three equivalent Pr(1), three equivalent Mn(11), three equivalent Mn(2), and three equivalent Mn(7) atoms to form distorted MnPr3Mn9 cuboctahedra that share corners with three equivalent Mn(2)PrTm2Mn9 cuboctahedra, corners with three equivalent Mn(3)Tm3Mn9 cuboctahedra, corners with six equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, faces with three equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, faces with three equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra, and faces with three equivalent Mn(2)PrTm2Mn9 cuboctahedra. All Mn(1)-Mn(2) bond lengths are 2.42 Å. All Mn(1)-Mn(7) bond lengths are 2.70 Å. In the fifth Mn site, Mn(2) is bonded to two equivalent Tm(1), one Pr(1), one Mn(1), one Mn(11), one Mn(6), two equivalent Mn(10), two equivalent Mn(2), and two equivalent Mn(7) atoms to form distorted MnPrTm2Mn9 cuboctahedra that share  a cornercorner with one Mn(1)Pr3Mn9 cuboctahedra, corners with two equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, corners with two equivalent Mn(2)PrTm2Mn9 cuboctahedra, corners with four equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra,  a faceface with one Mn(1)Pr3Mn9 cuboctahedra,  a faceface with one Mn(3)Tm3Mn9 cuboctahedra, faces with two equivalent Mn(2)PrTm2Mn9 cuboctahedra, faces with three equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, and faces with three equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra. The Mn(2)-Mn(6) bond length is 2.70 Å. Both Mn(2)-Mn(2) bond lengths are 2.47 Å. Both Mn(2)-Mn(7) bond lengths are 2.70 Å. In the sixth Mn site, Mn(3) is bonded to three equivalent Tm(1), three equivalent Mn(11), three equivalent Mn(4), and three equivalent Mn(9) atoms to form distorted MnTm3Mn9 cuboctahedra that share corners with three equivalent Mn(1)Pr3Mn9 cuboctahedra, corners with six equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, faces with three equivalent Mn(10)Pr2Tm2Mn8 cuboctahedra, faces with three equivalent Mn(11)Pr2Tm2Mn8 cuboctahedra, and faces with three equivalent Mn(2)PrTm2Mn9 cuboctahedra. All Mn(3)-Mn(4) bond lengths are 2.46 Å. In the seventh Mn site, Mn(4) is bonded in a distorted q6 geometry to one Tm(1), two equivalent Pr(1), one Mn(11), one Mn(3), one Mn(8), two equivalent Mn(10), two equivalent Mn(4), and two equivalent Mn(9) atoms. The Mn(4)-Mn(8) bond length is 2.69 Å. Both Mn(4)-Mn(4) bond lengths are 2.43 Å. In the eighth Mn site, Mn(5) is bonded in a body-centered cubic geometry to one Mn(6), one Mn(8), three equivalent Mn(7), and three equivalent Mn(9) atoms. The Mn(5)-Mn(6) bond length is 2.56 Å. The Mn(5)-Mn(8) bond length is 2.43 Å. All Mn(5)-Mn(7) bond lengths are 2.47 Å. In the ninth Mn site, Mn(6) is bonded in a 13-coordinate geometry to three equivalent Pr(1), one Mn(5), three equivalent Mn(10), three equivalent Mn(2), and three equivalent Mn(9) atoms. In the tenth Mn site, Mn(7) is bonded in a 13-coordinate geometry to two equivalent Tm(1), one Pr(1), one Mn(1), one Mn(10), one Mn(5), one Mn(8), two equivalent Mn(11), two equivalent Mn(2), and two equivalent Mn(9) atoms. The Mn(7)-Mn(8) bond length is 2.87 Å. In the eleventh Mn site, Mn(8) is bonded in a 13-coordinate geometry to three equivalent Tm(1), one Mn(5), three equivalent Mn(10), three equivalent Mn(4), and three equivalent Mn(7) atoms.