The material structure described by ErSmTi2(Fe8Co3)2 crystallizes in the monoclinic Cm space group. Er(1) is bonded in a 20-coordinate geometry to one Ti(2), two equivalent Fe(1), two equivalent Fe(10), two equivalent Fe(4), two equivalent Fe(6), two equivalent Fe(7), two equivalent Fe(9), four equivalent Fe(12), one Co(2), one Co(3), and one Co(5) atom. Sm(1) is bonded in a 20-coordinate geometry to one Ti(1), two equivalent Fe(10), two equivalent Fe(2), two equivalent Fe(3), two equivalent Fe(5), two equivalent Fe(8), two equivalent Fe(9), four equivalent Fe(11), one Co(1), one Co(4), and one Co(6) atom. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 14-coordinate geometry to one Sm(1), one Fe(1), one Fe(3), two equivalent Fe(11), two equivalent Fe(5), two equivalent Fe(9), one Co(5), two equivalent Co(1), and two equivalent Co(3) atoms. In the second Ti site, Ti(2) is bonded in a 14-coordinate geometry to one Er(1), one Fe(2), one Fe(4), two equivalent Fe(10), two equivalent Fe(12), two equivalent Fe(6), one Co(6), two equivalent Co(2), and two equivalent Co(4) atoms. There are twelve inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent Er(1), one Ti(1), one Fe(6), one Fe(7), two equivalent Fe(12), two equivalent Fe(9), one Co(5), and two equivalent Co(3) atoms to form distorted FeEr2TiFe6Co3 cuboctahedra that share  a cornercorner with one Co(3)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(4)SmTi2Fe8Co cuboctahedra, corners with two equivalent Fe(7)Er2Fe6Co4 cuboctahedra, corners with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Co(2)ErTi2Fe8Co cuboctahedra, corners with four equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Co(1)SmTi2Fe8Co cuboctahedra,  a faceface with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a faceface with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(2)ErTi2Fe8Co cuboctahedra,  a faceface with one Co(1)SmTi2Fe8Co cuboctahedra, faces with two equivalent Co(3)ErTi2Fe8Co cuboctahedra, faces with three equivalent Fe(7)Er2Fe6Co4 cuboctahedra, faces with four equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(9)SmErTiFe6Co3 cuboctahedra. In the second Fe site, Fe(2) is bonded in a 12-coordinate geometry to two equivalent Sm(1), one Ti(2), one Fe(5), one Fe(8), two equivalent Fe(10), two equivalent Fe(11), one Co(6), and two equivalent Co(4) atoms. In the third Fe site, Fe(3) is bonded in a 12-coordinate geometry to two equivalent Sm(1), one Ti(1), one Fe(5), one Fe(8), two equivalent Fe(11), two equivalent Fe(9), one Co(5), and two equivalent Co(1) atoms. In the fourth Fe site, Fe(4) is bonded to two equivalent Er(1), one Ti(2), one Fe(6), one Fe(7), two equivalent Fe(10), two equivalent Fe(12), one Co(6), and two equivalent Co(2) atoms to form distorted FeEr2TiFe6Co3 cuboctahedra that share  a cornercorner with one Co(2)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(1)SmTi2Fe8Co cuboctahedra, corners with two equivalent Fe(7)Er2Fe6Co4 cuboctahedra, corners with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Co(3)ErTi2Fe8Co cuboctahedra, corners with four equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Co(4)SmTi2Fe8Co cuboctahedra,  a faceface with one Fe(7)Er2Fe6Co4 cuboctahedra,  a faceface with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(3)ErTi2Fe8Co cuboctahedra,  a faceface with one Co(4)SmTi2Fe8Co cuboctahedra, faces with two equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, faces with two equivalent Co(2)ErTi2Fe8Co cuboctahedra, faces with three equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, faces with four equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(10)SmErTiFe6Co3 cuboctahedra. In the fifth Fe site, Fe(5) is bonded in a 12-coordinate geometry to two equivalent Sm(1), two equivalent Ti(1), one Fe(2), one Fe(3), two equivalent Fe(11), two equivalent Fe(9), one Co(1), and one Co(3) atom. In the sixth Fe site, Fe(6) is bonded to two equivalent Er(1), two equivalent Ti(2), one Fe(1), one Fe(4), two equivalent Fe(10), two equivalent Fe(12), one Co(2), and one Co(4) atom to form distorted FeEr2Ti2Fe6Co2 cuboctahedra that share corners with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Co(2)ErTi2Fe8Co cuboctahedra, corners with two equivalent Co(4)SmTi2Fe8Co cuboctahedra, corners with four equivalent Fe(7)Er2Fe6Co4 cuboctahedra,  an edgeedge with one Fe(8)Sm2Fe6Co4 cuboctahedra, edges with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra,  a faceface with one Fe(7)Er2Fe6Co4 cuboctahedra,  a faceface with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(4)SmTi2Fe8Co cuboctahedra, faces with two equivalent Co(3)ErTi2Fe8Co cuboctahedra, faces with three equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, faces with three equivalent Co(2)ErTi2Fe8Co cuboctahedra, faces with four equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(10)SmErTiFe6Co3 cuboctahedra. In the seventh Fe site, Fe(7) is bonded to two equivalent Er(1), one Fe(1), one Fe(4), two equivalent Fe(12), two equivalent Fe(9), one Co(1), one Co(3), and two equivalent Co(5) atoms to form distorted FeEr2Fe6Co4 cuboctahedra that share corners with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with four equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, edges with two equivalent Fe(7)Er2Fe6Co4 cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra,  a faceface with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a faceface with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(1)SmTi2Fe8Co cuboctahedra, faces with two equivalent Co(2)ErTi2Fe8Co cuboctahedra, faces with three equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, faces with three equivalent Co(3)ErTi2Fe8Co cuboctahedra, faces with four equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(9)SmErTiFe6Co3 cuboctahedra. In the eighth Fe site, Fe(8) is bonded to two equivalent Sm(1), one Fe(2), one Fe(3), two equivalent Fe(10), two equivalent Fe(11), one Co(2), one Co(4), and two equivalent Co(6) atoms to form distorted FeSm2Fe6Co4 cuboctahedra that share corners with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra,  an edgeedge with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra, edges with two equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, edges with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra,  a faceface with one Co(2)ErTi2Fe8Co cuboctahedra, faces with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Co(1)SmTi2Fe8Co cuboctahedra, faces with three equivalent Co(4)SmTi2Fe8Co cuboctahedra, faces with four equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(10)SmErTiFe6Co3 cuboctahedra. In the ninth Fe site, Fe(9) is bonded to one Er(1), one Sm(1), one Ti(1), one Fe(1), one Fe(3), one Fe(5), one Fe(7), two equivalent Fe(9), one Co(1), one Co(3), and one Co(5) atom to form distorted FeSmErTiFe6Co3 cuboctahedra that share  a cornercorner with one Fe(7)Er2Fe6Co4 cuboctahedra,  a cornercorner with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a cornercorner with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(8)Sm2Fe6Co4 cuboctahedra,  a cornercorner with one Co(2)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(1)SmTi2Fe8Co cuboctahedra,  a cornercorner with one Co(4)SmTi2Fe8Co cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with four equivalent Fe(10)SmErTiFe6Co3 cuboctahedra,  an edgeedge with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  an edgeedge with one Fe(4)Er2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(8)Sm2Fe6Co4 cuboctahedra,  an edgeedge with one Co(3)ErTi2Fe8Co cuboctahedra,  an edgeedge with one Co(1)SmTi2Fe8Co cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(7)Er2Fe6Co4 cuboctahedra, faces with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, faces with two equivalent Co(3)ErTi2Fe8Co cuboctahedra, and faces with two equivalent Co(1)SmTi2Fe8Co cuboctahedra. In the tenth Fe site, Fe(10) is bonded to one Er(1), one Sm(1), one Ti(2), one Fe(2), one Fe(4), one Fe(6), one Fe(8), two equivalent Fe(10), one Co(2), one Co(4), and one Co(6) atom to form distorted FeSmErTiFe6Co3 cuboctahedra that share  a cornercorner with one Fe(7)Er2Fe6Co4 cuboctahedra,  a cornercorner with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a cornercorner with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(8)Sm2Fe6Co4 cuboctahedra,  a cornercorner with one Co(2)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(3)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(1)SmTi2Fe8Co cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with four equivalent Fe(9)SmErTiFe6Co3 cuboctahedra,  an edgeedge with one Fe(7)Er2Fe6Co4 cuboctahedra,  an edgeedge with one Fe(1)Er2TiFe6Co3 cuboctahedra,  an edgeedge with one Co(2)ErTi2Fe8Co cuboctahedra,  an edgeedge with one Co(4)SmTi2Fe8Co cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, faces with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, faces with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, faces with two equivalent Co(2)ErTi2Fe8Co cuboctahedra, and faces with two equivalent Co(4)SmTi2Fe8Co cuboctahedra. In the eleventh Fe site, Fe(11) is bonded to two equivalent Sm(1), one Ti(1), one Fe(2), one Fe(3), one Fe(5), one Fe(8), two equivalent Fe(11), one Co(1), one Co(4), and one Co(6) atom to form distorted FeSm2TiFe6Co3 cuboctahedra that share  a cornercorner with one Fe(7)Er2Fe6Co4 cuboctahedra,  a cornercorner with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a cornercorner with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(8)Sm2Fe6Co4 cuboctahedra,  a cornercorner with one Co(3)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(1)SmTi2Fe8Co cuboctahedra,  a cornercorner with one Co(4)SmTi2Fe8Co cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with six equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(8)Sm2Fe6Co4 cuboctahedra,  an edgeedge with one Co(2)ErTi2Fe8Co cuboctahedra,  an edgeedge with one Co(4)SmTi2Fe8Co cuboctahedra, edges with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra,  a faceface with one Co(3)ErTi2Fe8Co cuboctahedra,  a faceface with one Co(4)SmTi2Fe8Co cuboctahedra, faces with two equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, faces with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, faces with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, and faces with two equivalent Co(1)SmTi2Fe8Co cuboctahedra. In the twelfth Fe site, Fe(12) is bonded to two equivalent Er(1), one Ti(2), one Fe(1), one Fe(4), one Fe(6), one Fe(7), two equivalent Fe(12), one Co(2), one Co(3), and one Co(5) atom to form distorted FeEr2TiFe6Co3 cuboctahedra that share  a cornercorner with one Fe(7)Er2Fe6Co4 cuboctahedra,  a cornercorner with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a cornercorner with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(8)Sm2Fe6Co4 cuboctahedra,  a cornercorner with one Co(2)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(3)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(4)SmTi2Fe8Co cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with six equivalent Fe(12)Er2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(7)Er2Fe6Co4 cuboctahedra,  an edgeedge with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  an edgeedge with one Fe(1)Er2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(4)Er2TiFe6Co3 cuboctahedra,  an edgeedge with one Co(3)ErTi2Fe8Co cuboctahedra,  an edgeedge with one Co(1)SmTi2Fe8Co cuboctahedra, edges with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra,  a faceface with one Co(3)ErTi2Fe8Co cuboctahedra,  a faceface with one Co(4)SmTi2Fe8Co cuboctahedra, faces with two equivalent Fe(7)Er2Fe6Co4 cuboctahedra, faces with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, faces with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, faces with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, and faces with two equivalent Co(2)ErTi2Fe8Co cuboctahedra. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to one Sm(1), two equivalent Ti(1), one Fe(5), one Fe(7), two equivalent Fe(11), two equivalent Fe(3), two equivalent Fe(9), and one Co(3) atom to form distorted CoSmTi2Fe8Co cuboctahedra that share  a cornercorner with one Fe(4)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with three equivalent Co(4)SmTi2Fe8Co cuboctahedra, corners with four equivalent Co(3)ErTi2Fe8Co cuboctahedra, edges with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Co(1)SmTi2Fe8Co cuboctahedra,  a faceface with one Fe(7)Er2Fe6Co4 cuboctahedra,  a faceface with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(3)ErTi2Fe8Co cuboctahedra, faces with two equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, faces with four equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(9)SmErTiFe6Co3 cuboctahedra. In the second Co site, Co(2) is bonded to one Er(1), two equivalent Ti(2), one Fe(6), one Fe(8), two equivalent Fe(10), two equivalent Fe(12), two equivalent Fe(4), and one Co(4) atom to form distorted CoErTi2Fe8Co cuboctahedra that share  a cornercorner with one Fe(4)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, corners with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with three equivalent Co(3)ErTi2Fe8Co cuboctahedra, corners with four equivalent Co(4)SmTi2Fe8Co cuboctahedra, edges with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Co(2)ErTi2Fe8Co cuboctahedra,  a faceface with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a faceface with one Fe(8)Sm2Fe6Co4 cuboctahedra,  a faceface with one Co(4)SmTi2Fe8Co cuboctahedra, faces with two equivalent Fe(7)Er2Fe6Co4 cuboctahedra, faces with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, faces with three equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, faces with four equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(10)SmErTiFe6Co3 cuboctahedra. In the third Co site, Co(3) is bonded to one Er(1), two equivalent Ti(1), one Fe(5), one Fe(7), two equivalent Fe(1), two equivalent Fe(12), two equivalent Fe(9), and one Co(1) atom to form distorted CoErTi2Fe8Co cuboctahedra that share  a cornercorner with one Fe(1)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with three equivalent Co(2)ErTi2Fe8Co cuboctahedra, corners with four equivalent Co(1)SmTi2Fe8Co cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Co(3)ErTi2Fe8Co cuboctahedra,  a faceface with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(1)SmTi2Fe8Co cuboctahedra, faces with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, faces with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with three equivalent Fe(7)Er2Fe6Co4 cuboctahedra, and faces with four equivalent Fe(9)SmErTiFe6Co3 cuboctahedra. In the fourth Co site, Co(4) is bonded to one Sm(1), two equivalent Ti(2), one Fe(6), one Fe(8), two equivalent Fe(10), two equivalent Fe(11), two equivalent Fe(2), and one Co(2) atom to form distorted CoSmTi2Fe8Co cuboctahedra that share  a cornercorner with one Fe(1)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with three equivalent Co(1)SmTi2Fe8Co cuboctahedra, corners with four equivalent Co(2)ErTi2Fe8Co cuboctahedra, edges with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Co(4)SmTi2Fe8Co cuboctahedra,  a faceface with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a faceface with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(2)ErTi2Fe8Co cuboctahedra, faces with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with three equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, and faces with four equivalent Fe(10)SmErTiFe6Co3 cuboctahedra. In the fifth Co site, Co(5) is bonded in a 1-coordinate geometry to one Er(1), one Ti(1), one Fe(1), one Fe(3), two equivalent Fe(12), two equivalent Fe(7), and two equivalent Fe(9) atoms. In the sixth Co site, Co(6) is bonded in a 1-coordinate geometry to one Sm(1), one Ti(2), one Fe(2), one Fe(4), two equivalent Fe(10), two equivalent Fe(11), and two equivalent Fe(8) atoms. is represented by the CIF card [CIF]
data_SmErTi2(Fe8Co3)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.711
_cell_length_b   6.427
_cell_length_c   11.943
_cell_angle_alpha   90.003
_cell_angle_beta   90.000
_cell_angle_gamma   111.502
_symmetry_Int_Tables_number   1
_cell_volume   336.450
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Sm  Sm0  1  0.503  0.005  0.503  1.0
  Er  Er1  1  0.003  0.006  0.003  1.0
  Ti  Ti2  1  0.312  0.624  0.311  1.0
  Ti  Ti3  1  0.812  0.624  0.813  1.0
  Fe  Fe4  1  0.390  0.780  0.109  1.0
  Fe  Fe5  1  0.888  0.777  0.612  1.0
  Fe  Fe6  1  0.111  0.222  0.387  1.0
  Fe  Fe7  1  0.609  0.219  0.891  1.0
  Fe  Fe8  1  0.886  0.773  0.386  1.0
  Fe  Fe9  1  0.388  0.776  0.889  1.0
  Fe  Fe10  1  0.616  0.232  0.115  1.0
  Fe  Fe11  1  0.118  0.236  0.619  1.0
  Fe  Fe12  1  0.252  0.003  0.249  1.0
  Fe  Fe13  1  0.752  0.003  0.752  1.0
  Fe  Fe14  1  0.751  0.003  0.249  1.0
  Fe  Fe15  1  0.250  0.003  0.752  1.0
  Fe  Fe16  1  0.500  0.500  0.501  1.0
  Fe  Fe17  1  1.000  0.500  0.001  1.0
  Fe  Fe18  1  0.001  0.500  0.501  1.0
  Fe  Fe19  1  0.501  0.500  0.001  1.0
  Co  Co20  1  0.681  0.363  0.321  1.0
  Co  Co21  1  0.181  0.361  0.824  1.0
  Co  Co22  1  0.823  0.645  0.180  1.0
  Co  Co23  1  0.322  0.643  0.682  1.0
  Co  Co24  1  0.175  0.349  0.174  1.0
  Co  Co25  1  0.675  0.351  0.676  1.0
[/CIF]
.
The material structure described by ErSmTi2(Fe8Co3)2 crystallizes in the monoclinic Cm space group. Er(1) is bonded in a 20-coordinate geometry to one Ti(2), two equivalent Fe(1), two equivalent Fe(10), two equivalent Fe(4), two equivalent Fe(6), two equivalent Fe(7), two equivalent Fe(9), four equivalent Fe(12), one Co(2), one Co(3), and one Co(5) atom. Sm(1) is bonded in a 20-coordinate geometry to one Ti(1), two equivalent Fe(10), two equivalent Fe(2), two equivalent Fe(3), two equivalent Fe(5), two equivalent Fe(8), two equivalent Fe(9), four equivalent Fe(11), one Co(1), one Co(4), and one Co(6) atom. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 14-coordinate geometry to one Sm(1), one Fe(1), one Fe(3), two equivalent Fe(11), two equivalent Fe(5), two equivalent Fe(9), one Co(5), two equivalent Co(1), and two equivalent Co(3) atoms. In the second Ti site, Ti(2) is bonded in a 14-coordinate geometry to one Er(1), one Fe(2), one Fe(4), two equivalent Fe(10), two equivalent Fe(12), two equivalent Fe(6), one Co(6), two equivalent Co(2), and two equivalent Co(4) atoms. There are twelve inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent Er(1), one Ti(1), one Fe(6), one Fe(7), two equivalent Fe(12), two equivalent Fe(9), one Co(5), and two equivalent Co(3) atoms to form distorted FeEr2TiFe6Co3 cuboctahedra that share  a cornercorner with one Co(3)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(4)SmTi2Fe8Co cuboctahedra, corners with two equivalent Fe(7)Er2Fe6Co4 cuboctahedra, corners with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Co(2)ErTi2Fe8Co cuboctahedra, corners with four equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Co(1)SmTi2Fe8Co cuboctahedra,  a faceface with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a faceface with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(2)ErTi2Fe8Co cuboctahedra,  a faceface with one Co(1)SmTi2Fe8Co cuboctahedra, faces with two equivalent Co(3)ErTi2Fe8Co cuboctahedra, faces with three equivalent Fe(7)Er2Fe6Co4 cuboctahedra, faces with four equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(9)SmErTiFe6Co3 cuboctahedra. In the second Fe site, Fe(2) is bonded in a 12-coordinate geometry to two equivalent Sm(1), one Ti(2), one Fe(5), one Fe(8), two equivalent Fe(10), two equivalent Fe(11), one Co(6), and two equivalent Co(4) atoms. In the third Fe site, Fe(3) is bonded in a 12-coordinate geometry to two equivalent Sm(1), one Ti(1), one Fe(5), one Fe(8), two equivalent Fe(11), two equivalent Fe(9), one Co(5), and two equivalent Co(1) atoms. In the fourth Fe site, Fe(4) is bonded to two equivalent Er(1), one Ti(2), one Fe(6), one Fe(7), two equivalent Fe(10), two equivalent Fe(12), one Co(6), and two equivalent Co(2) atoms to form distorted FeEr2TiFe6Co3 cuboctahedra that share  a cornercorner with one Co(2)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(1)SmTi2Fe8Co cuboctahedra, corners with two equivalent Fe(7)Er2Fe6Co4 cuboctahedra, corners with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Co(3)ErTi2Fe8Co cuboctahedra, corners with four equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Co(4)SmTi2Fe8Co cuboctahedra,  a faceface with one Fe(7)Er2Fe6Co4 cuboctahedra,  a faceface with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(3)ErTi2Fe8Co cuboctahedra,  a faceface with one Co(4)SmTi2Fe8Co cuboctahedra, faces with two equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, faces with two equivalent Co(2)ErTi2Fe8Co cuboctahedra, faces with three equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, faces with four equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(10)SmErTiFe6Co3 cuboctahedra. In the fifth Fe site, Fe(5) is bonded in a 12-coordinate geometry to two equivalent Sm(1), two equivalent Ti(1), one Fe(2), one Fe(3), two equivalent Fe(11), two equivalent Fe(9), one Co(1), and one Co(3) atom. In the sixth Fe site, Fe(6) is bonded to two equivalent Er(1), two equivalent Ti(2), one Fe(1), one Fe(4), two equivalent Fe(10), two equivalent Fe(12), one Co(2), and one Co(4) atom to form distorted FeEr2Ti2Fe6Co2 cuboctahedra that share corners with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Co(2)ErTi2Fe8Co cuboctahedra, corners with two equivalent Co(4)SmTi2Fe8Co cuboctahedra, corners with four equivalent Fe(7)Er2Fe6Co4 cuboctahedra,  an edgeedge with one Fe(8)Sm2Fe6Co4 cuboctahedra, edges with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra,  a faceface with one Fe(7)Er2Fe6Co4 cuboctahedra,  a faceface with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(4)SmTi2Fe8Co cuboctahedra, faces with two equivalent Co(3)ErTi2Fe8Co cuboctahedra, faces with three equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, faces with three equivalent Co(2)ErTi2Fe8Co cuboctahedra, faces with four equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(10)SmErTiFe6Co3 cuboctahedra. In the seventh Fe site, Fe(7) is bonded to two equivalent Er(1), one Fe(1), one Fe(4), two equivalent Fe(12), two equivalent Fe(9), one Co(1), one Co(3), and two equivalent Co(5) atoms to form distorted FeEr2Fe6Co4 cuboctahedra that share corners with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with four equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, edges with two equivalent Fe(7)Er2Fe6Co4 cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra,  a faceface with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a faceface with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(1)SmTi2Fe8Co cuboctahedra, faces with two equivalent Co(2)ErTi2Fe8Co cuboctahedra, faces with three equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, faces with three equivalent Co(3)ErTi2Fe8Co cuboctahedra, faces with four equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(9)SmErTiFe6Co3 cuboctahedra. In the eighth Fe site, Fe(8) is bonded to two equivalent Sm(1), one Fe(2), one Fe(3), two equivalent Fe(10), two equivalent Fe(11), one Co(2), one Co(4), and two equivalent Co(6) atoms to form distorted FeSm2Fe6Co4 cuboctahedra that share corners with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra,  an edgeedge with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra, edges with two equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, edges with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra,  a faceface with one Co(2)ErTi2Fe8Co cuboctahedra, faces with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Co(1)SmTi2Fe8Co cuboctahedra, faces with three equivalent Co(4)SmTi2Fe8Co cuboctahedra, faces with four equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(10)SmErTiFe6Co3 cuboctahedra. In the ninth Fe site, Fe(9) is bonded to one Er(1), one Sm(1), one Ti(1), one Fe(1), one Fe(3), one Fe(5), one Fe(7), two equivalent Fe(9), one Co(1), one Co(3), and one Co(5) atom to form distorted FeSmErTiFe6Co3 cuboctahedra that share  a cornercorner with one Fe(7)Er2Fe6Co4 cuboctahedra,  a cornercorner with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a cornercorner with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(8)Sm2Fe6Co4 cuboctahedra,  a cornercorner with one Co(2)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(1)SmTi2Fe8Co cuboctahedra,  a cornercorner with one Co(4)SmTi2Fe8Co cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with four equivalent Fe(10)SmErTiFe6Co3 cuboctahedra,  an edgeedge with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  an edgeedge with one Fe(4)Er2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(8)Sm2Fe6Co4 cuboctahedra,  an edgeedge with one Co(3)ErTi2Fe8Co cuboctahedra,  an edgeedge with one Co(1)SmTi2Fe8Co cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(7)Er2Fe6Co4 cuboctahedra, faces with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, faces with two equivalent Co(3)ErTi2Fe8Co cuboctahedra, and faces with two equivalent Co(1)SmTi2Fe8Co cuboctahedra. In the tenth Fe site, Fe(10) is bonded to one Er(1), one Sm(1), one Ti(2), one Fe(2), one Fe(4), one Fe(6), one Fe(8), two equivalent Fe(10), one Co(2), one Co(4), and one Co(6) atom to form distorted FeSmErTiFe6Co3 cuboctahedra that share  a cornercorner with one Fe(7)Er2Fe6Co4 cuboctahedra,  a cornercorner with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a cornercorner with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(8)Sm2Fe6Co4 cuboctahedra,  a cornercorner with one Co(2)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(3)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(1)SmTi2Fe8Co cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with four equivalent Fe(9)SmErTiFe6Co3 cuboctahedra,  an edgeedge with one Fe(7)Er2Fe6Co4 cuboctahedra,  an edgeedge with one Fe(1)Er2TiFe6Co3 cuboctahedra,  an edgeedge with one Co(2)ErTi2Fe8Co cuboctahedra,  an edgeedge with one Co(4)SmTi2Fe8Co cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, faces with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, faces with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, faces with two equivalent Co(2)ErTi2Fe8Co cuboctahedra, and faces with two equivalent Co(4)SmTi2Fe8Co cuboctahedra. In the eleventh Fe site, Fe(11) is bonded to two equivalent Sm(1), one Ti(1), one Fe(2), one Fe(3), one Fe(5), one Fe(8), two equivalent Fe(11), one Co(1), one Co(4), and one Co(6) atom to form distorted FeSm2TiFe6Co3 cuboctahedra that share  a cornercorner with one Fe(7)Er2Fe6Co4 cuboctahedra,  a cornercorner with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a cornercorner with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(8)Sm2Fe6Co4 cuboctahedra,  a cornercorner with one Co(3)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(1)SmTi2Fe8Co cuboctahedra,  a cornercorner with one Co(4)SmTi2Fe8Co cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with six equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(8)Sm2Fe6Co4 cuboctahedra,  an edgeedge with one Co(2)ErTi2Fe8Co cuboctahedra,  an edgeedge with one Co(4)SmTi2Fe8Co cuboctahedra, edges with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra,  a faceface with one Co(3)ErTi2Fe8Co cuboctahedra,  a faceface with one Co(4)SmTi2Fe8Co cuboctahedra, faces with two equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, faces with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, faces with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, and faces with two equivalent Co(1)SmTi2Fe8Co cuboctahedra. In the twelfth Fe site, Fe(12) is bonded to two equivalent Er(1), one Ti(2), one Fe(1), one Fe(4), one Fe(6), one Fe(7), two equivalent Fe(12), one Co(2), one Co(3), and one Co(5) atom to form distorted FeEr2TiFe6Co3 cuboctahedra that share  a cornercorner with one Fe(7)Er2Fe6Co4 cuboctahedra,  a cornercorner with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a cornercorner with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a cornercorner with one Fe(8)Sm2Fe6Co4 cuboctahedra,  a cornercorner with one Co(2)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(3)ErTi2Fe8Co cuboctahedra,  a cornercorner with one Co(4)SmTi2Fe8Co cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with six equivalent Fe(12)Er2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(7)Er2Fe6Co4 cuboctahedra,  an edgeedge with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  an edgeedge with one Fe(1)Er2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(4)Er2TiFe6Co3 cuboctahedra,  an edgeedge with one Co(3)ErTi2Fe8Co cuboctahedra,  an edgeedge with one Co(1)SmTi2Fe8Co cuboctahedra, edges with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra,  a faceface with one Co(3)ErTi2Fe8Co cuboctahedra,  a faceface with one Co(4)SmTi2Fe8Co cuboctahedra, faces with two equivalent Fe(7)Er2Fe6Co4 cuboctahedra, faces with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, faces with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, faces with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, and faces with two equivalent Co(2)ErTi2Fe8Co cuboctahedra. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to one Sm(1), two equivalent Ti(1), one Fe(5), one Fe(7), two equivalent Fe(11), two equivalent Fe(3), two equivalent Fe(9), and one Co(3) atom to form distorted CoSmTi2Fe8Co cuboctahedra that share  a cornercorner with one Fe(4)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with three equivalent Co(4)SmTi2Fe8Co cuboctahedra, corners with four equivalent Co(3)ErTi2Fe8Co cuboctahedra, edges with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Co(1)SmTi2Fe8Co cuboctahedra,  a faceface with one Fe(7)Er2Fe6Co4 cuboctahedra,  a faceface with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(3)ErTi2Fe8Co cuboctahedra, faces with two equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, faces with four equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(9)SmErTiFe6Co3 cuboctahedra. In the second Co site, Co(2) is bonded to one Er(1), two equivalent Ti(2), one Fe(6), one Fe(8), two equivalent Fe(10), two equivalent Fe(12), two equivalent Fe(4), and one Co(4) atom to form distorted CoErTi2Fe8Co cuboctahedra that share  a cornercorner with one Fe(4)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, corners with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with three equivalent Co(3)ErTi2Fe8Co cuboctahedra, corners with four equivalent Co(4)SmTi2Fe8Co cuboctahedra, edges with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Co(2)ErTi2Fe8Co cuboctahedra,  a faceface with one Fe(1)Er2TiFe6Co3 cuboctahedra,  a faceface with one Fe(8)Sm2Fe6Co4 cuboctahedra,  a faceface with one Co(4)SmTi2Fe8Co cuboctahedra, faces with two equivalent Fe(7)Er2Fe6Co4 cuboctahedra, faces with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, faces with three equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, faces with four equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, and faces with four equivalent Fe(10)SmErTiFe6Co3 cuboctahedra. In the third Co site, Co(3) is bonded to one Er(1), two equivalent Ti(1), one Fe(5), one Fe(7), two equivalent Fe(1), two equivalent Fe(12), two equivalent Fe(9), and one Co(1) atom to form distorted CoErTi2Fe8Co cuboctahedra that share  a cornercorner with one Fe(1)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, corners with three equivalent Co(2)ErTi2Fe8Co cuboctahedra, corners with four equivalent Co(1)SmTi2Fe8Co cuboctahedra, edges with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Co(3)ErTi2Fe8Co cuboctahedra,  a faceface with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(1)SmTi2Fe8Co cuboctahedra, faces with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, faces with two equivalent Fe(1)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with three equivalent Fe(7)Er2Fe6Co4 cuboctahedra, and faces with four equivalent Fe(9)SmErTiFe6Co3 cuboctahedra. In the fourth Co site, Co(4) is bonded to one Sm(1), two equivalent Ti(2), one Fe(6), one Fe(8), two equivalent Fe(10), two equivalent Fe(11), two equivalent Fe(2), and one Co(2) atom to form distorted CoSmTi2Fe8Co cuboctahedra that share  a cornercorner with one Fe(1)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(6)Er2Ti2Fe6Co2 cuboctahedra, corners with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, corners with two equivalent Fe(9)SmErTiFe6Co3 cuboctahedra, corners with three equivalent Co(1)SmTi2Fe8Co cuboctahedra, corners with four equivalent Co(2)ErTi2Fe8Co cuboctahedra, edges with two equivalent Fe(4)Er2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, edges with two equivalent Fe(10)SmErTiFe6Co3 cuboctahedra, edges with two equivalent Co(4)SmTi2Fe8Co cuboctahedra,  a faceface with one Fe(6)Er2Ti2Fe6Co2 cuboctahedra,  a faceface with one Fe(4)Er2TiFe6Co3 cuboctahedra,  a faceface with one Co(2)ErTi2Fe8Co cuboctahedra, faces with two equivalent Fe(12)Er2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(11)Sm2TiFe6Co3 cuboctahedra, faces with three equivalent Fe(8)Sm2Fe6Co4 cuboctahedra, and faces with four equivalent Fe(10)SmErTiFe6Co3 cuboctahedra. In the fifth Co site, Co(5) is bonded in a 1-coordinate geometry to one Er(1), one Ti(1), one Fe(1), one Fe(3), two equivalent Fe(12), two equivalent Fe(7), and two equivalent Fe(9) atoms. In the sixth Co site, Co(6) is bonded in a 1-coordinate geometry to one Sm(1), one Ti(2), one Fe(2), one Fe(4), two equivalent Fe(10), two equivalent Fe(11), and two equivalent Fe(8) atoms. is represented by the CIF card [CIF]
data_SmErTi2(Fe8Co3)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.711
_cell_length_b   6.427
_cell_length_c   11.943
_cell_angle_alpha   90.003
_cell_angle_beta   90.000
_cell_angle_gamma   111.502
_symmetry_Int_Tables_number   1
_cell_volume   336.450
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Sm  Sm0  1  0.503  0.005  0.503  1.0
  Er  Er1  1  0.003  0.006  0.003  1.0
  Ti  Ti2  1  0.312  0.624  0.311  1.0
  Ti  Ti3  1  0.812  0.624  0.813  1.0
  Fe  Fe4  1  0.390  0.780  0.109  1.0
  Fe  Fe5  1  0.888  0.777  0.612  1.0
  Fe  Fe6  1  0.111  0.222  0.387  1.0
  Fe  Fe7  1  0.609  0.219  0.891  1.0
  Fe  Fe8  1  0.886  0.773  0.386  1.0
  Fe  Fe9  1  0.388  0.776  0.889  1.0
  Fe  Fe10  1  0.616  0.232  0.115  1.0
  Fe  Fe11  1  0.118  0.236  0.619  1.0
  Fe  Fe12  1  0.252  0.003  0.249  1.0
  Fe  Fe13  1  0.752  0.003  0.752  1.0
  Fe  Fe14  1  0.751  0.003  0.249  1.0
  Fe  Fe15  1  0.250  0.003  0.752  1.0
  Fe  Fe16  1  0.500  0.500  0.501  1.0
  Fe  Fe17  1  1.000  0.500  0.001  1.0
  Fe  Fe18  1  0.001  0.500  0.501  1.0
  Fe  Fe19  1  0.501  0.500  0.001  1.0
  Co  Co20  1  0.681  0.363  0.321  1.0
  Co  Co21  1  0.181  0.361  0.824  1.0
  Co  Co22  1  0.823  0.645  0.180  1.0
  Co  Co23  1  0.322  0.643  0.682  1.0
  Co  Co24  1  0.175  0.349  0.174  1.0
  Co  Co25  1  0.675  0.351  0.676  1.0
[/CIF]
.