The structure described by Sc3(Fe5Ga4)4 crystallizes in the monoclinic Cm space group. There are three inequivalent Sc sites. In the first Sc site, Sc(1) is bonded in a 20-coordinate geometry to two equivalent Fe(1), two equivalent Fe(11), two equivalent Fe(12), two equivalent Fe(3), two equivalent Fe(8), four equivalent Fe(4), one Ga(12), one Ga(3), one Ga(4), one Ga(7), and two equivalent Ga(13) atoms. In the second Sc site, Sc(2) is bonded to two equivalent Fe(13), two equivalent Fe(2), two equivalent Fe(9), four equivalent Fe(5), one Ga(1), one Ga(10), one Ga(5), one Ga(8), two equivalent Ga(14), and two equivalent Ga(16) atoms to form distorted ScGa8Fe10 hexagonal bipyramids that share  a cornercorner with one Fe(12)Sc2Ga5Fe5 cuboctahedra, corners with four equivalent Sc(2)Ga8Fe10 hexagonal bipyramids, edges with two equivalent Fe(1)ScGa6Fe4 cuboctahedra,  a faceface with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  a faceface with one Fe(10)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, faces with three equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra, faces with three equivalent Fe(9)Sc2Ga6Fe4 cuboctahedra, faces with four equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with eight equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, and faces with two equivalent Sc(2)Ga8Fe10 hexagonal bipyramids. In the third Sc site, Sc(3) is bonded in a 20-coordinate geometry to two equivalent Fe(10), two equivalent Fe(14), two equivalent Fe(2), two equivalent Fe(3), two equivalent Fe(7), four equivalent Fe(6), one Ga(11), one Ga(2), one Ga(6), one Ga(9), and two equivalent Ga(15) atoms. There are fourteen inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one Sc(1), one Fe(12), one Fe(9), two equivalent Fe(1), one Ga(1), one Ga(10), one Ga(13), one Ga(16), one Ga(4), and one Ga(7) atom to form distorted FeScGa6Fe4 cuboctahedra that share  a cornercorner with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(11)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(12)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(13)Sc2Ga6Fe4 cuboctahedra,  a cornercorner with one Fe(9)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with four equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  an edgeedge with one Fe(11)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(9)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Sc(2)Ga8Fe10 hexagonal bipyramid,  a faceface with one Fe(9)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(12)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, and  a faceface with one Sc(2)Ga8Fe10 hexagonal bipyramid. In the second Fe site, Fe(2) is bonded to one Sc(2), one Sc(3), one Fe(10), one Fe(13), one Fe(7), two equivalent Fe(2), one Ga(11), one Ga(14), one Ga(2), one Ga(5), and one Ga(8) atom to form distorted FeSc2Ga5Fe5 cuboctahedra that share  a cornercorner with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(10)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(14)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(13)Sc2Ga6Fe4 cuboctahedra,  a cornercorner with one Fe(9)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Fe(14)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(9)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, faces with two equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, and faces with two equivalent Sc(2)Ga8Fe10 hexagonal bipyramids. In the third Fe site, Fe(3) is bonded to one Sc(1), one Sc(3), one Fe(11), one Fe(14), one Fe(8), two equivalent Fe(3), one Ga(12), one Ga(15), one Ga(3), one Ga(6), and one Ga(9) atom to form distorted FeSc2Ga5Fe5 cuboctahedra that share  a cornercorner with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(10)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(11)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(12)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(14)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra,  an edgeedge with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  an edgeedge with one Fe(10)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(12)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, faces with two equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, and faces with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra. In the fourth Fe site, Fe(4) is bonded to two equivalent Sc(1), one Fe(11), one Fe(12), one Fe(8), two equivalent Fe(4), one Ga(12), one Ga(13), one Ga(3), one Ga(4), and one Ga(7) atom to form distorted FeSc2Ga5Fe5 cuboctahedra that share  a cornercorner with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(11)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(12)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(14)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(9)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with six equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  an edgeedge with one Fe(11)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(12)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, faces with two equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, faces with two equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(12)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, and faces with two equivalent Fe(1)ScGa6Fe4 cuboctahedra. In the fifth Fe site, Fe(5) is bonded to two equivalent Sc(2), one Fe(13), one Fe(9), two equivalent Fe(5), one Ga(1), one Ga(10), one Ga(14), one Ga(16), one Ga(5), and one Ga(8) atom to form distorted FeSc2Ga6Fe4 cuboctahedra that share  a cornercorner with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(10)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(12)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(13)Sc2Ga6Fe4 cuboctahedra,  a cornercorner with one Fe(9)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with four equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with six equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Fe(13)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Fe(9)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, faces with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(9)Sc2Ga6Fe4 cuboctahedra, and faces with four equivalent Sc(2)Ga8Fe10 hexagonal bipyramids. In the sixth Fe site, Fe(6) is bonded to two equivalent Sc(3), one Fe(10), one Fe(14), one Fe(7), two equivalent Fe(6), one Ga(11), one Ga(15), one Ga(2), one Ga(6), and one Ga(9) atom to form distorted FeSc2Ga5Fe5 cuboctahedra that share  a cornercorner with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(10)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(11)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(14)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(13)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with six equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  an edgeedge with one Fe(10)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(14)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, faces with two equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, and faces with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra. In the seventh Fe site, Fe(7) is bonded to two equivalent Sc(3), one Fe(10), one Fe(14), two equivalent Fe(2), two equivalent Fe(6), one Ga(11), one Ga(8), and two equivalent Ga(2) atoms to form distorted FeSc2Ga4Fe6 cuboctahedra that share corners with two equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, edges with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra,  a faceface with one Fe(14)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra, faces with three equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra, faces with four equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with four equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, and  a faceface with one Sc(2)Ga8Fe10 hexagonal bipyramid. In the eighth Fe site, Fe(8) is bonded to two equivalent Sc(1), one Fe(11), one Fe(12), two equivalent Fe(3), two equivalent Fe(4), one Ga(12), one Ga(9), and two equivalent Ga(3) atoms to form distorted FeSc2Ga4Fe6 cuboctahedra that share corners with two equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(12)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, edges with two equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, edges with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(1)ScGa6Fe4 cuboctahedra,  a faceface with one Fe(12)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra, faces with three equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra, faces with four equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, and faces with four equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra. In the ninth Fe site, Fe(9) is bonded to two equivalent Sc(2), two equivalent Fe(1), two equivalent Fe(5), one Ga(1), one Ga(14), one Ga(16), one Ga(4), and two equivalent Ga(10) atoms to form distorted FeSc2Ga6Fe4 cuboctahedra that share corners with two equivalent Fe(12)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with four equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Fe(12)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(9)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(1)ScGa6Fe4 cuboctahedra,  a faceface with one Fe(13)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, faces with four equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, and faces with three equivalent Sc(2)Ga8Fe10 hexagonal bipyramids. In the tenth Fe site, Fe(10) is bonded to two equivalent Sc(3), one Fe(7), two equivalent Fe(2), two equivalent Fe(6), one Ga(15), one Ga(2), one Ga(5), and two equivalent Ga(11) atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with two equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, corners with four equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(13)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra,  a faceface with one Fe(14)Sc2Ga5Fe5 cuboctahedra, faces with three equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, faces with four equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with four equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, and  a faceface with one Sc(2)Ga8Fe10 hexagonal bipyramid. In the eleventh Fe site, Fe(11) is bonded to two equivalent Sc(1), one Fe(8), two equivalent Fe(3), two equivalent Fe(4), one Ga(13), one Ga(3), one Ga(6), and two equivalent Ga(12) atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with two equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, corners with two equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with four equivalent Fe(12)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(14)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(1)ScGa6Fe4 cuboctahedra,  a faceface with one Fe(12)Sc2Ga5Fe5 cuboctahedra, faces with three equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, faces with four equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, and faces with four equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra. In the twelfth Fe site, Fe(12) is bonded to two equivalent Sc(1), one Fe(8), two equivalent Fe(1), two equivalent Fe(4), one Ga(1), one Ga(13), one Ga(4), and two equivalent Ga(7) atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with two equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(9)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with four equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Sc(2)Ga8Fe10 hexagonal bipyramid,  an edgeedge with one Fe(9)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(12)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra,  a faceface with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  a faceface with one Fe(11)Sc2Ga5Fe5 cuboctahedra, faces with four equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, and faces with four equivalent Fe(1)ScGa6Fe4 cuboctahedra. In the thirteenth Fe site, Fe(13) is bonded to two equivalent Sc(2), two equivalent Fe(2), two equivalent Fe(5), one Ga(14), one Ga(16), one Ga(2), one Ga(5), and two equivalent Ga(8) atoms to form distorted FeSc2Ga6Fe4 cuboctahedra that share corners with two equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with four equivalent Fe(9)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Fe(10)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra,  a faceface with one Fe(9)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, faces with four equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with four equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, and faces with three equivalent Sc(2)Ga8Fe10 hexagonal bipyramids. In the fourteenth Fe site, Fe(14) is bonded to two equivalent Sc(3), one Fe(7), two equivalent Fe(3), two equivalent Fe(6), one Ga(15), one Ga(3), one Ga(6), and two equivalent Ga(9) atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with two equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, corners with two equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with four equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(11)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra,  a faceface with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  a faceface with one Fe(10)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, faces with four equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, and faces with four equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra. There are sixteen inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 10-coordinate geometry to one Sc(2), one Fe(12), one Fe(9), two equivalent Fe(1), two equivalent Fe(5), one Ga(4), and two equivalent Ga(16) atoms. In the second Ga site, Ga(2) is bonded in a 10-coordinate geometry to one Sc(3), one Fe(10), one Fe(13), two equivalent Fe(2), two equivalent Fe(6), two equivalent Fe(7), and one Ga(5) atom. In the third Ga site, Ga(3) is bonded in a 10-coordinate geometry to one Sc(1), one Fe(11), one Fe(14), two equivalent Fe(3), two equivalent Fe(4), two equivalent Fe(8), and one Ga(6) atom. In the fourth Ga site, Ga(4) is bonded in a 10-coordinate geometry to one Sc(1), one Fe(12), one Fe(9), two equivalent Fe(1), two equivalent Fe(4), one Ga(1), and two equivalent Ga(13) atoms. In the fifth Ga site, Ga(5) is bonded in a 10-coordinate geometry to one Sc(2), one Fe(10), one Fe(13), two equivalent Fe(2), two equivalent Fe(5), one Ga(2), and two equivalent Ga(14) atoms. In the sixth Ga site, Ga(6) is bonded in a 10-coordinate geometry to one Sc(3), one Fe(11), one Fe(14), two equivalent Fe(3), two equivalent Fe(6), one Ga(3), and two equivalent Ga(15) atoms. In the seventh Ga site, Ga(7) is bonded in a 8-coordinate geometry to one Sc(1), two equivalent Fe(1), two equivalent Fe(12), two equivalent Fe(4), and one Ga(10) atom. In the eighth Ga site, Ga(8) is bonded in a 9-coordinate geometry to one Sc(2), one Fe(7), two equivalent Fe(13), two equivalent Fe(2), two equivalent Fe(5), and one Ga(11) atom. In the ninth Ga site, Ga(9) is bonded in a 9-coordinate geometry to one Sc(3), one Fe(8), two equivalent Fe(14), two equivalent Fe(3), two equivalent Fe(6), and one Ga(12) atom. In the tenth Ga site, Ga(10) is bonded in a 7-coordinate geometry to one Sc(2), two equivalent Fe(1), two equivalent Fe(5), two equivalent Fe(9), and one Ga(7) atom. In the eleventh Ga site, Ga(11) is bonded in a 9-coordinate geometry to one Sc(3), one Fe(7), two equivalent Fe(10), two equivalent Fe(2), two equivalent Fe(6), and one Ga(8) atom. In the twelfth Ga site, Ga(12) is bonded in a 9-coordinate geometry to one Sc(1), one Fe(8), two equivalent Fe(11), two equivalent Fe(3), two equivalent Fe(4), and one Ga(9) atom. In the thirteenth Ga site, Ga(13) is bonded in a 8-coordinate geometry to two equivalent Sc(1), one Fe(11), one Fe(12), two equivalent Fe(1), two equivalent Fe(4), and two equivalent Ga(4) atoms. In the fourteenth Ga site, Ga(14) is bonded in a 8-coordinate geometry to two equivalent Sc(2), one Fe(13), one Fe(9), two equivalent Fe(2), two equivalent Fe(5), and two equivalent Ga(5) atoms. In the fifteenth Ga site, Ga(15) is bonded in a 8-coordinate geometry to two equivalent Sc(3), one Fe(10), one Fe(14), two equivalent Fe(3), two equivalent Fe(6), and two equivalent Ga(6) atoms. In the sixteenth Ga site, Ga(16) is bonded in a 8-coordinate geometry to two equivalent Sc(2), one Fe(13), one Fe(9), two equivalent Fe(1), two equivalent Fe(5), and two equivalent Ga(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Sc3(Ga4Fe5)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.013
_cell_length_b   6.502
_cell_length_c   18.243
_cell_angle_alpha   93.862
_cell_angle_beta   82.102
_cell_angle_gamma   112.678
_symmetry_Int_Tables_number   1
_cell_volume   543.422
_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
  Sc  Sc0  1  0.001  0.998  0.996  1.0
  Sc  Sc1  1  0.334  0.005  0.336  1.0
  Sc  Sc2  1  0.669  0.004  0.666  1.0
  Ga  Ga3  1  0.560  0.340  0.220  1.0
  Ga  Ga4  1  0.890  0.336  0.555  1.0
  Ga  Ga5  1  0.224  0.336  0.888  1.0
  Ga  Ga6  1  0.773  0.660  0.114  1.0
  Ga  Ga7  1  0.103  0.654  0.448  1.0
  Ga  Ga8  1  0.436  0.654  0.782  1.0
  Ga  Ga9  1  0.106  0.320  0.108  1.0
  Ga  Ga10  1  0.439  0.326  0.447  1.0
  Ga  Ga11  1  0.771  0.323  0.780  1.0
  Ga  Ga12  1  0.225  0.678  0.227  1.0
  Ga  Ga13  1  0.549  0.658  0.559  1.0
  Ga  Ga14  1  0.883  0.656  0.891  1.0
  Ga  Ga15  1  0.384  0.826  0.058  1.0
  Ga  Ga16  1  0.715  0.823  0.393  1.0
  Ga  Ga17  1  0.049  0.823  0.725  1.0
  Ga  Ga18  1  0.950  0.175  0.275  1.0
  Fe  Fe19  1  0.167  0.999  0.167  1.0
  Fe  Fe20  1  0.496  0.993  0.502  1.0
  Fe  Fe21  1  0.831  0.992  0.835  1.0
  Fe  Fe22  1  0.665  0.999  0.167  1.0
  Fe  Fe23  1  0.995  0.993  0.502  1.0
  Fe  Fe24  1  0.327  0.992  0.835  1.0
  Fe  Fe25  1  0.997  0.497  0.001  1.0
  Fe  Fe26  1  0.333  0.497  0.335  1.0
  Fe  Fe27  1  0.664  0.494  0.669  1.0
  Fe  Fe28  1  0.499  0.497  0.001  1.0
  Fe  Fe29  1  0.829  0.497  0.335  1.0
  Fe  Fe30  1  0.161  0.494  0.669  1.0
  Fe  Fe31  1  0.319  0.229  0.591  1.0
  Fe  Fe32  1  0.652  0.227  0.923  1.0
  Fe  Fe33  1  0.751  0.754  0.252  1.0
  Fe  Fe34  1  0.089  0.764  0.587  1.0
  Fe  Fe35  1  0.422  0.765  0.920  1.0
  Fe  Fe36  1  0.581  0.243  0.080  1.0
  Fe  Fe37  1  0.913  0.240  0.415  1.0
  Fe  Fe38  1  0.247  0.239  0.745  1.0
[/CIF]
.
The structure described by Sc3(Fe5Ga4)4 crystallizes in the monoclinic Cm space group. There are three inequivalent Sc sites. In the first Sc site, Sc(1) is bonded in a 20-coordinate geometry to two equivalent Fe(1), two equivalent Fe(11), two equivalent Fe(12), two equivalent Fe(3), two equivalent Fe(8), four equivalent Fe(4), one Ga(12), one Ga(3), one Ga(4), one Ga(7), and two equivalent Ga(13) atoms. In the second Sc site, Sc(2) is bonded to two equivalent Fe(13), two equivalent Fe(2), two equivalent Fe(9), four equivalent Fe(5), one Ga(1), one Ga(10), one Ga(5), one Ga(8), two equivalent Ga(14), and two equivalent Ga(16) atoms to form distorted ScGa8Fe10 hexagonal bipyramids that share  a cornercorner with one Fe(12)Sc2Ga5Fe5 cuboctahedra, corners with four equivalent Sc(2)Ga8Fe10 hexagonal bipyramids, edges with two equivalent Fe(1)ScGa6Fe4 cuboctahedra,  a faceface with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  a faceface with one Fe(10)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, faces with three equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra, faces with three equivalent Fe(9)Sc2Ga6Fe4 cuboctahedra, faces with four equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with eight equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, and faces with two equivalent Sc(2)Ga8Fe10 hexagonal bipyramids. In the third Sc site, Sc(3) is bonded in a 20-coordinate geometry to two equivalent Fe(10), two equivalent Fe(14), two equivalent Fe(2), two equivalent Fe(3), two equivalent Fe(7), four equivalent Fe(6), one Ga(11), one Ga(2), one Ga(6), one Ga(9), and two equivalent Ga(15) atoms. There are fourteen inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one Sc(1), one Fe(12), one Fe(9), two equivalent Fe(1), one Ga(1), one Ga(10), one Ga(13), one Ga(16), one Ga(4), and one Ga(7) atom to form distorted FeScGa6Fe4 cuboctahedra that share  a cornercorner with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(11)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(12)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(13)Sc2Ga6Fe4 cuboctahedra,  a cornercorner with one Fe(9)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with four equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  an edgeedge with one Fe(11)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(9)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Sc(2)Ga8Fe10 hexagonal bipyramid,  a faceface with one Fe(9)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(12)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, and  a faceface with one Sc(2)Ga8Fe10 hexagonal bipyramid. In the second Fe site, Fe(2) is bonded to one Sc(2), one Sc(3), one Fe(10), one Fe(13), one Fe(7), two equivalent Fe(2), one Ga(11), one Ga(14), one Ga(2), one Ga(5), and one Ga(8) atom to form distorted FeSc2Ga5Fe5 cuboctahedra that share  a cornercorner with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(10)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(14)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(13)Sc2Ga6Fe4 cuboctahedra,  a cornercorner with one Fe(9)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Fe(14)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(9)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, faces with two equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, and faces with two equivalent Sc(2)Ga8Fe10 hexagonal bipyramids. In the third Fe site, Fe(3) is bonded to one Sc(1), one Sc(3), one Fe(11), one Fe(14), one Fe(8), two equivalent Fe(3), one Ga(12), one Ga(15), one Ga(3), one Ga(6), and one Ga(9) atom to form distorted FeSc2Ga5Fe5 cuboctahedra that share  a cornercorner with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(10)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(11)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(12)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(14)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra,  an edgeedge with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  an edgeedge with one Fe(10)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(12)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, faces with two equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, and faces with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra. In the fourth Fe site, Fe(4) is bonded to two equivalent Sc(1), one Fe(11), one Fe(12), one Fe(8), two equivalent Fe(4), one Ga(12), one Ga(13), one Ga(3), one Ga(4), and one Ga(7) atom to form distorted FeSc2Ga5Fe5 cuboctahedra that share  a cornercorner with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(11)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(12)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(14)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(9)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with six equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  an edgeedge with one Fe(11)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(12)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, faces with two equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, faces with two equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(12)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, and faces with two equivalent Fe(1)ScGa6Fe4 cuboctahedra. In the fifth Fe site, Fe(5) is bonded to two equivalent Sc(2), one Fe(13), one Fe(9), two equivalent Fe(5), one Ga(1), one Ga(10), one Ga(14), one Ga(16), one Ga(5), and one Ga(8) atom to form distorted FeSc2Ga6Fe4 cuboctahedra that share  a cornercorner with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(10)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(12)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(13)Sc2Ga6Fe4 cuboctahedra,  a cornercorner with one Fe(9)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with four equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with six equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Fe(13)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Fe(9)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, faces with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(9)Sc2Ga6Fe4 cuboctahedra, and faces with four equivalent Sc(2)Ga8Fe10 hexagonal bipyramids. In the sixth Fe site, Fe(6) is bonded to two equivalent Sc(3), one Fe(10), one Fe(14), one Fe(7), two equivalent Fe(6), one Ga(11), one Ga(15), one Ga(2), one Ga(6), and one Ga(9) atom to form distorted FeSc2Ga5Fe5 cuboctahedra that share  a cornercorner with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  a cornercorner with one Fe(10)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(11)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(14)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Fe(13)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with six equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  an edgeedge with one Fe(10)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(14)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, faces with two equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, and faces with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra. In the seventh Fe site, Fe(7) is bonded to two equivalent Sc(3), one Fe(10), one Fe(14), two equivalent Fe(2), two equivalent Fe(6), one Ga(11), one Ga(8), and two equivalent Ga(2) atoms to form distorted FeSc2Ga4Fe6 cuboctahedra that share corners with two equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, edges with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra,  a faceface with one Fe(14)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra, faces with three equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra, faces with four equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with four equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, and  a faceface with one Sc(2)Ga8Fe10 hexagonal bipyramid. In the eighth Fe site, Fe(8) is bonded to two equivalent Sc(1), one Fe(11), one Fe(12), two equivalent Fe(3), two equivalent Fe(4), one Ga(12), one Ga(9), and two equivalent Ga(3) atoms to form distorted FeSc2Ga4Fe6 cuboctahedra that share corners with two equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(12)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, edges with two equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, edges with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(1)ScGa6Fe4 cuboctahedra,  a faceface with one Fe(12)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra, faces with three equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra, faces with four equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, and faces with four equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra. In the ninth Fe site, Fe(9) is bonded to two equivalent Sc(2), two equivalent Fe(1), two equivalent Fe(5), one Ga(1), one Ga(14), one Ga(16), one Ga(4), and two equivalent Ga(10) atoms to form distorted FeSc2Ga6Fe4 cuboctahedra that share corners with two equivalent Fe(12)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with four equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Fe(12)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(9)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(1)ScGa6Fe4 cuboctahedra,  a faceface with one Fe(13)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, faces with four equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, and faces with three equivalent Sc(2)Ga8Fe10 hexagonal bipyramids. In the tenth Fe site, Fe(10) is bonded to two equivalent Sc(3), one Fe(7), two equivalent Fe(2), two equivalent Fe(6), one Ga(15), one Ga(2), one Ga(5), and two equivalent Ga(11) atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with two equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, corners with four equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(13)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra,  a faceface with one Fe(14)Sc2Ga5Fe5 cuboctahedra, faces with three equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, faces with four equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with four equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, and  a faceface with one Sc(2)Ga8Fe10 hexagonal bipyramid. In the eleventh Fe site, Fe(11) is bonded to two equivalent Sc(1), one Fe(8), two equivalent Fe(3), two equivalent Fe(4), one Ga(13), one Ga(3), one Ga(6), and two equivalent Ga(12) atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with two equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, corners with two equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with four equivalent Fe(12)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(14)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(1)ScGa6Fe4 cuboctahedra,  a faceface with one Fe(12)Sc2Ga5Fe5 cuboctahedra, faces with three equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, faces with four equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, and faces with four equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra. In the twelfth Fe site, Fe(12) is bonded to two equivalent Sc(1), one Fe(8), two equivalent Fe(1), two equivalent Fe(4), one Ga(1), one Ga(13), one Ga(4), and two equivalent Ga(7) atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with two equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(9)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with four equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra,  a cornercorner with one Sc(2)Ga8Fe10 hexagonal bipyramid,  an edgeedge with one Fe(9)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(12)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra,  a faceface with one Fe(8)Sc2Ga4Fe6 cuboctahedra,  a faceface with one Fe(11)Sc2Ga5Fe5 cuboctahedra, faces with four equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, and faces with four equivalent Fe(1)ScGa6Fe4 cuboctahedra. In the thirteenth Fe site, Fe(13) is bonded to two equivalent Sc(2), two equivalent Fe(2), two equivalent Fe(5), one Ga(14), one Ga(16), one Ga(2), one Ga(5), and two equivalent Ga(8) atoms to form distorted FeSc2Ga6Fe4 cuboctahedra that share corners with two equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, corners with two equivalent Fe(1)ScGa6Fe4 cuboctahedra, corners with four equivalent Fe(9)Sc2Ga6Fe4 cuboctahedra,  an edgeedge with one Fe(10)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(13)Sc2Ga6Fe4 cuboctahedra, edges with two equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra,  a faceface with one Fe(9)Sc2Ga6Fe4 cuboctahedra, faces with two equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, faces with four equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, faces with four equivalent Fe(5)Sc2Ga6Fe4 cuboctahedra, and faces with three equivalent Sc(2)Ga8Fe10 hexagonal bipyramids. In the fourteenth Fe site, Fe(14) is bonded to two equivalent Sc(3), one Fe(7), two equivalent Fe(3), two equivalent Fe(6), one Ga(15), one Ga(3), one Ga(6), and two equivalent Ga(9) atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with two equivalent Fe(7)Sc2Ga4Fe6 cuboctahedra, corners with two equivalent Fe(11)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(4)Sc2Ga5Fe5 cuboctahedra, corners with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra, corners with four equivalent Fe(10)Sc2Ga5Fe5 cuboctahedra,  an edgeedge with one Fe(11)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(14)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(2)Sc2Ga5Fe5 cuboctahedra, edges with two equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra,  a faceface with one Fe(7)Sc2Ga4Fe6 cuboctahedra,  a faceface with one Fe(10)Sc2Ga5Fe5 cuboctahedra, faces with two equivalent Fe(8)Sc2Ga4Fe6 cuboctahedra, faces with four equivalent Fe(3)Sc2Ga5Fe5 cuboctahedra, and faces with four equivalent Fe(6)Sc2Ga5Fe5 cuboctahedra. There are sixteen inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 10-coordinate geometry to one Sc(2), one Fe(12), one Fe(9), two equivalent Fe(1), two equivalent Fe(5), one Ga(4), and two equivalent Ga(16) atoms. In the second Ga site, Ga(2) is bonded in a 10-coordinate geometry to one Sc(3), one Fe(10), one Fe(13), two equivalent Fe(2), two equivalent Fe(6), two equivalent Fe(7), and one Ga(5) atom. In the third Ga site, Ga(3) is bonded in a 10-coordinate geometry to one Sc(1), one Fe(11), one Fe(14), two equivalent Fe(3), two equivalent Fe(4), two equivalent Fe(8), and one Ga(6) atom. In the fourth Ga site, Ga(4) is bonded in a 10-coordinate geometry to one Sc(1), one Fe(12), one Fe(9), two equivalent Fe(1), two equivalent Fe(4), one Ga(1), and two equivalent Ga(13) atoms. In the fifth Ga site, Ga(5) is bonded in a 10-coordinate geometry to one Sc(2), one Fe(10), one Fe(13), two equivalent Fe(2), two equivalent Fe(5), one Ga(2), and two equivalent Ga(14) atoms. In the sixth Ga site, Ga(6) is bonded in a 10-coordinate geometry to one Sc(3), one Fe(11), one Fe(14), two equivalent Fe(3), two equivalent Fe(6), one Ga(3), and two equivalent Ga(15) atoms. In the seventh Ga site, Ga(7) is bonded in a 8-coordinate geometry to one Sc(1), two equivalent Fe(1), two equivalent Fe(12), two equivalent Fe(4), and one Ga(10) atom. In the eighth Ga site, Ga(8) is bonded in a 9-coordinate geometry to one Sc(2), one Fe(7), two equivalent Fe(13), two equivalent Fe(2), two equivalent Fe(5), and one Ga(11) atom. In the ninth Ga site, Ga(9) is bonded in a 9-coordinate geometry to one Sc(3), one Fe(8), two equivalent Fe(14), two equivalent Fe(3), two equivalent Fe(6), and one Ga(12) atom. In the tenth Ga site, Ga(10) is bonded in a 7-coordinate geometry to one Sc(2), two equivalent Fe(1), two equivalent Fe(5), two equivalent Fe(9), and one Ga(7) atom. In the eleventh Ga site, Ga(11) is bonded in a 9-coordinate geometry to one Sc(3), one Fe(7), two equivalent Fe(10), two equivalent Fe(2), two equivalent Fe(6), and one Ga(8) atom. In the twelfth Ga site, Ga(12) is bonded in a 9-coordinate geometry to one Sc(1), one Fe(8), two equivalent Fe(11), two equivalent Fe(3), two equivalent Fe(4), and one Ga(9) atom. In the thirteenth Ga site, Ga(13) is bonded in a 8-coordinate geometry to two equivalent Sc(1), one Fe(11), one Fe(12), two equivalent Fe(1), two equivalent Fe(4), and two equivalent Ga(4) atoms. In the fourteenth Ga site, Ga(14) is bonded in a 8-coordinate geometry to two equivalent Sc(2), one Fe(13), one Fe(9), two equivalent Fe(2), two equivalent Fe(5), and two equivalent Ga(5) atoms. In the fifteenth Ga site, Ga(15) is bonded in a 8-coordinate geometry to two equivalent Sc(3), one Fe(10), one Fe(14), two equivalent Fe(3), two equivalent Fe(6), and two equivalent Ga(6) atoms. In the sixteenth Ga site, Ga(16) is bonded in a 8-coordinate geometry to two equivalent Sc(2), one Fe(13), one Fe(9), two equivalent Fe(1), two equivalent Fe(5), and two equivalent Ga(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Sc3(Ga4Fe5)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.013
_cell_length_b   6.502
_cell_length_c   18.243
_cell_angle_alpha   93.862
_cell_angle_beta   82.102
_cell_angle_gamma   112.678
_symmetry_Int_Tables_number   1
_cell_volume   543.422
_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
  Sc  Sc0  1  0.001  0.998  0.996  1.0
  Sc  Sc1  1  0.334  0.005  0.336  1.0
  Sc  Sc2  1  0.669  0.004  0.666  1.0
  Ga  Ga3  1  0.560  0.340  0.220  1.0
  Ga  Ga4  1  0.890  0.336  0.555  1.0
  Ga  Ga5  1  0.224  0.336  0.888  1.0
  Ga  Ga6  1  0.773  0.660  0.114  1.0
  Ga  Ga7  1  0.103  0.654  0.448  1.0
  Ga  Ga8  1  0.436  0.654  0.782  1.0
  Ga  Ga9  1  0.106  0.320  0.108  1.0
  Ga  Ga10  1  0.439  0.326  0.447  1.0
  Ga  Ga11  1  0.771  0.323  0.780  1.0
  Ga  Ga12  1  0.225  0.678  0.227  1.0
  Ga  Ga13  1  0.549  0.658  0.559  1.0
  Ga  Ga14  1  0.883  0.656  0.891  1.0
  Ga  Ga15  1  0.384  0.826  0.058  1.0
  Ga  Ga16  1  0.715  0.823  0.393  1.0
  Ga  Ga17  1  0.049  0.823  0.725  1.0
  Ga  Ga18  1  0.950  0.175  0.275  1.0
  Fe  Fe19  1  0.167  0.999  0.167  1.0
  Fe  Fe20  1  0.496  0.993  0.502  1.0
  Fe  Fe21  1  0.831  0.992  0.835  1.0
  Fe  Fe22  1  0.665  0.999  0.167  1.0
  Fe  Fe23  1  0.995  0.993  0.502  1.0
  Fe  Fe24  1  0.327  0.992  0.835  1.0
  Fe  Fe25  1  0.997  0.497  0.001  1.0
  Fe  Fe26  1  0.333  0.497  0.335  1.0
  Fe  Fe27  1  0.664  0.494  0.669  1.0
  Fe  Fe28  1  0.499  0.497  0.001  1.0
  Fe  Fe29  1  0.829  0.497  0.335  1.0
  Fe  Fe30  1  0.161  0.494  0.669  1.0
  Fe  Fe31  1  0.319  0.229  0.591  1.0
  Fe  Fe32  1  0.652  0.227  0.923  1.0
  Fe  Fe33  1  0.751  0.754  0.252  1.0
  Fe  Fe34  1  0.089  0.764  0.587  1.0
  Fe  Fe35  1  0.422  0.765  0.920  1.0
  Fe  Fe36  1  0.581  0.243  0.080  1.0
  Fe  Fe37  1  0.913  0.240  0.415  1.0
  Fe  Fe38  1  0.247  0.239  0.745  1.0
[/CIF]
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