MgSc4(FeO3)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(12), one O(3), one O(5), and one O(8) atom. There are four inequivalent Sc sites. In the first Sc site, Sc(1) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(2), one O(4), one O(5), and one O(7) atom. In the second Sc site, Sc(2) is bonded to one O(12), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form distorted ScO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra, corners with two equivalent Sc(3)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra, and  a faceface with one Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-59°. In the third Sc site, Sc(3) is bonded to one O(1), one O(11), one O(4), one O(6), one O(8), and one O(9) atom to form ScO6 octahedra that share  a cornercorner with one Fe(4)O6 octahedra, corners with two equivalent Sc(2)O6 octahedra, corners with four equivalent Sc(4)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and  a faceface with one Fe(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-62°. In the fourth Sc site, Sc(4) is bonded to one O(1), one O(10), one O(11), one O(2), one O(6), and one O(9) atom to form ScO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with four equivalent Sc(3)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra,  a faceface with one Fe(1)O6 octahedra, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-58°. There are four inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(10), one O(11), one O(5), one O(6), and one O(8) atom to form distorted FeO6 octahedra that share  a cornercorner with one Sc(4)O6 octahedra, corners with two equivalent Sc(2)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Sc(3)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and  a faceface with one Sc(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-48°. In the second Fe site, Fe(2) is bonded to one O(1), one O(11), one O(12), one O(2), one O(4), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Sc(4)O6 octahedra, corners with two equivalent Sc(2)O6 octahedra, corners with four equivalent Fe(4)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Sc(3)O6 octahedra, and  a faceface with one Sc(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 37-59°. In the third Fe site, Fe(3) is bonded to one O(10), one O(3), one O(5), one O(6), one O(7), and one O(8) atom to form distorted FeO6 octahedra that share  a cornercorner with one Sc(2)O6 octahedra, corners with two equivalent Sc(4)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra,  an edgeedge with one Sc(3)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and  a faceface with one Sc(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-58°. In the fourth Fe site, Fe(4) is bonded to one O(11), one O(2), one O(4), one O(6), one O(7), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Sc(3)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with four equivalent Fe(2)O6 octahedra,  an edgeedge with one Sc(2)O6 octahedra, edges with two equivalent Sc(4)O6 octahedra, and  a faceface with one Sc(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 37-62°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Sc(3), one Sc(4), one Fe(1), and one Fe(2) atom to form distorted OMgSc2Fe2 trigonal bipyramids that share  a cornercorner with one O(8)MgSc2Fe2 trigonal bipyramid,  a cornercorner with one O(6)Sc2Fe3 trigonal bipyramid,  a cornercorner with one O(9)Sc2Fe2 trigonal pyramid, corners with two equivalent O(12)MgSc2Fe trigonal pyramids,  an edgeedge with one O(8)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(6)Sc2Fe3 trigonal bipyramid,  an edgeedge with one O(4)Sc3Fe2 trigonal bipyramid,  an edgeedge with one O(2)Sc2Fe2 trigonal pyramid, and  an edgeedge with one O(9)Sc2Fe2 trigonal pyramid. In the second O site, O(2) is bonded to one Sc(1), one Sc(4), one Fe(2), and one Fe(4) atom to form OSc2Fe2 trigonal pyramids that share  a cornercorner with one O(4)Sc3Fe2 trigonal bipyramid,  a cornercorner with one O(9)Sc2Fe2 trigonal pyramid, corners with two equivalent O(12)MgSc2Fe trigonal pyramids, corners with two equivalent O(7)Sc2Fe2 trigonal pyramids,  an edgeedge with one O(1)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(6)Sc2Fe3 trigonal bipyramid,  an edgeedge with one O(4)Sc3Fe2 trigonal bipyramid, and  an edgeedge with one O(9)Sc2Fe2 trigonal pyramid. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mg(1), one Sc(2), and one Fe(3) atom. In the fourth O site, O(4) is bonded to one Sc(1), one Sc(2), one Sc(3), one Fe(2), and one Fe(4) atom to form distorted OSc3Fe2 trigonal bipyramids that share corners with two equivalent O(8)MgSc2Fe2 trigonal bipyramids,  a cornercorner with one O(12)MgSc2Fe trigonal pyramid,  a cornercorner with one O(2)Sc2Fe2 trigonal pyramid,  a cornercorner with one O(7)Sc2Fe2 trigonal pyramid, corners with three equivalent O(9)Sc2Fe2 trigonal pyramids,  an edgeedge with one O(1)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(6)Sc2Fe3 trigonal bipyramid,  an edgeedge with one O(12)MgSc2Fe trigonal pyramid,  an edgeedge with one O(2)Sc2Fe2 trigonal pyramid, and  an edgeedge with one O(7)Sc2Fe2 trigonal pyramid. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Mg(1), one Sc(1), one Sc(2), one Fe(1), and one Fe(3) atom. In the sixth O site, O(6) is bonded to one Sc(3), one Sc(4), one Fe(1), one Fe(3), and one Fe(4) atom to form distorted OSc2Fe3 trigonal bipyramids that share  a cornercorner with one O(1)MgSc2Fe2 trigonal bipyramid,  a cornercorner with one O(8)MgSc2Fe2 trigonal bipyramid, corners with two equivalent O(7)Sc2Fe2 trigonal pyramids, corners with three equivalent O(9)Sc2Fe2 trigonal pyramids,  an edgeedge with one O(1)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(8)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(4)Sc3Fe2 trigonal bipyramid, and  an edgeedge with one O(2)Sc2Fe2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Sc(1), one Sc(2), one Fe(3), and one Fe(4) atom to form OSc2Fe2 trigonal pyramids that share  a cornercorner with one O(4)Sc3Fe2 trigonal bipyramid, corners with two equivalent O(6)Sc2Fe3 trigonal bipyramids,  a cornercorner with one O(9)Sc2Fe2 trigonal pyramid, corners with two equivalent O(2)Sc2Fe2 trigonal pyramids,  an edgeedge with one O(8)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(4)Sc3Fe2 trigonal bipyramid, and  an edgeedge with one O(12)MgSc2Fe trigonal pyramid. In the eighth O site, O(8) is bonded to one Mg(1), one Sc(2), one Sc(3), one Fe(1), and one Fe(3) atom to form distorted OMgSc2Fe2 trigonal bipyramids that share  a cornercorner with one O(1)MgSc2Fe2 trigonal bipyramid,  a cornercorner with one O(6)Sc2Fe3 trigonal bipyramid, corners with two equivalent O(4)Sc3Fe2 trigonal bipyramids,  a cornercorner with one O(9)Sc2Fe2 trigonal pyramid,  an edgeedge with one O(1)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(6)Sc2Fe3 trigonal bipyramid,  an edgeedge with one O(12)MgSc2Fe trigonal pyramid, and  an edgeedge with one O(7)Sc2Fe2 trigonal pyramid. In the ninth O site, O(9) is bonded to one Sc(3), one Sc(4), one Fe(2), and one Fe(4) atom to form distorted OSc2Fe2 trigonal pyramids that share  a cornercorner with one O(1)MgSc2Fe2 trigonal bipyramid,  a cornercorner with one O(8)MgSc2Fe2 trigonal bipyramid, corners with three equivalent O(6)Sc2Fe3 trigonal bipyramids, corners with three equivalent O(4)Sc3Fe2 trigonal bipyramids,  a cornercorner with one O(12)MgSc2Fe trigonal pyramid,  a cornercorner with one O(2)Sc2Fe2 trigonal pyramid,  a cornercorner with one O(7)Sc2Fe2 trigonal pyramid,  an edgeedge with one O(1)MgSc2Fe2 trigonal bipyramid, and  an edgeedge with one O(2)Sc2Fe2 trigonal pyramid. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to one Mg(1), one Sc(4), one Fe(1), and one Fe(3) atom. In the eleventh O site, O(11) is bonded in a 6-coordinate geometry to one Sc(1), one Sc(3), one Sc(4), one Fe(1), one Fe(2), and one Fe(4) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Sc(1), one Sc(2), and one Fe(2) atom to form OMgSc2Fe trigonal pyramids that share  a cornercorner with one O(4)Sc3Fe2 trigonal bipyramid, corners with two equivalent O(1)MgSc2Fe2 trigonal bipyramids,  a cornercorner with one O(9)Sc2Fe2 trigonal pyramid, corners with two equivalent O(2)Sc2Fe2 trigonal pyramids,  an edgeedge with one O(8)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(4)Sc3Fe2 trigonal bipyramid, and  an edgeedge with one O(7)Sc2Fe2 trigonal pyramid.
MgSc4(FeO3)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(12), one O(3), one O(5), and one O(8) atom. The Mg(1)-O(1) bond length is 2.41 Å. The Mg(1)-O(10) bond length is 1.99 Å. The Mg(1)-O(12) bond length is 1.99 Å. The Mg(1)-O(3) bond length is 1.97 Å. The Mg(1)-O(5) bond length is 2.59 Å. The Mg(1)-O(8) bond length is 2.55 Å. There are four inequivalent Sc sites. In the first Sc site, Sc(1) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(2), one O(4), one O(5), and one O(7) atom. The Sc(1)-O(11) bond length is 2.45 Å. The Sc(1)-O(12) bond length is 2.19 Å. The Sc(1)-O(2) bond length is 2.05 Å. The Sc(1)-O(4) bond length is 2.33 Å. The Sc(1)-O(5) bond length is 2.02 Å. The Sc(1)-O(7) bond length is 2.01 Å. In the second Sc site, Sc(2) is bonded to one O(12), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form distorted ScO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra, corners with two equivalent Sc(3)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra, and  a faceface with one Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-59°. The Sc(2)-O(12) bond length is 2.06 Å. The Sc(2)-O(3) bond length is 2.00 Å. The Sc(2)-O(4) bond length is 2.17 Å. The Sc(2)-O(5) bond length is 2.15 Å. The Sc(2)-O(7) bond length is 2.25 Å. The Sc(2)-O(8) bond length is 2.20 Å. In the third Sc site, Sc(3) is bonded to one O(1), one O(11), one O(4), one O(6), one O(8), and one O(9) atom to form ScO6 octahedra that share  a cornercorner with one Fe(4)O6 octahedra, corners with two equivalent Sc(2)O6 octahedra, corners with four equivalent Sc(4)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and  a faceface with one Fe(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-62°. The Sc(3)-O(1) bond length is 2.11 Å. The Sc(3)-O(11) bond length is 2.32 Å. The Sc(3)-O(4) bond length is 2.30 Å. The Sc(3)-O(6) bond length is 2.22 Å. The Sc(3)-O(8) bond length is 2.07 Å. The Sc(3)-O(9) bond length is 2.06 Å. In the fourth Sc site, Sc(4) is bonded to one O(1), one O(10), one O(11), one O(2), one O(6), and one O(9) atom to form ScO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with four equivalent Sc(3)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra,  a faceface with one Fe(1)O6 octahedra, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-58°. The Sc(4)-O(1) bond length is 2.16 Å. The Sc(4)-O(10) bond length is 2.04 Å. The Sc(4)-O(11) bond length is 2.17 Å. The Sc(4)-O(2) bond length is 2.09 Å. The Sc(4)-O(6) bond length is 2.21 Å. The Sc(4)-O(9) bond length is 2.15 Å. There are four inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(10), one O(11), one O(5), one O(6), and one O(8) atom to form distorted FeO6 octahedra that share  a cornercorner with one Sc(4)O6 octahedra, corners with two equivalent Sc(2)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Sc(3)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and  a faceface with one Sc(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-48°. The Fe(1)-O(1) bond length is 2.12 Å. The Fe(1)-O(10) bond length is 2.18 Å. The Fe(1)-O(11) bond length is 2.36 Å. The Fe(1)-O(5) bond length is 2.06 Å. The Fe(1)-O(6) bond length is 2.23 Å. The Fe(1)-O(8) bond length is 2.05 Å. In the second Fe site, Fe(2) is bonded to one O(1), one O(11), one O(12), one O(2), one O(4), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Sc(4)O6 octahedra, corners with two equivalent Sc(2)O6 octahedra, corners with four equivalent Fe(4)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Sc(3)O6 octahedra, and  a faceface with one Sc(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 37-59°. The Fe(2)-O(1) bond length is 2.19 Å. The Fe(2)-O(11) bond length is 2.20 Å. The Fe(2)-O(12) bond length is 1.94 Å. The Fe(2)-O(2) bond length is 2.03 Å. The Fe(2)-O(4) bond length is 2.04 Å. The Fe(2)-O(9) bond length is 2.04 Å. In the third Fe site, Fe(3) is bonded to one O(10), one O(3), one O(5), one O(6), one O(7), and one O(8) atom to form distorted FeO6 octahedra that share  a cornercorner with one Sc(2)O6 octahedra, corners with two equivalent Sc(4)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra,  an edgeedge with one Sc(3)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and  a faceface with one Sc(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-58°. The Fe(3)-O(10) bond length is 1.99 Å. The Fe(3)-O(3) bond length is 1.90 Å. The Fe(3)-O(5) bond length is 2.18 Å. The Fe(3)-O(6) bond length is 2.12 Å. The Fe(3)-O(7) bond length is 2.10 Å. The Fe(3)-O(8) bond length is 2.35 Å. In the fourth Fe site, Fe(4) is bonded to one O(11), one O(2), one O(4), one O(6), one O(7), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Sc(3)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with four equivalent Fe(2)O6 octahedra,  an edgeedge with one Sc(2)O6 octahedra, edges with two equivalent Sc(4)O6 octahedra, and  a faceface with one Sc(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 37-62°. The Fe(4)-O(11) bond length is 2.37 Å. The Fe(4)-O(2) bond length is 2.11 Å. The Fe(4)-O(4) bond length is 2.37 Å. The Fe(4)-O(6) bond length is 2.34 Å. The Fe(4)-O(7) bond length is 2.06 Å. The Fe(4)-O(9) bond length is 2.14 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Sc(3), one Sc(4), one Fe(1), and one Fe(2) atom to form distorted OMgSc2Fe2 trigonal bipyramids that share  a cornercorner with one O(8)MgSc2Fe2 trigonal bipyramid,  a cornercorner with one O(6)Sc2Fe3 trigonal bipyramid,  a cornercorner with one O(9)Sc2Fe2 trigonal pyramid, corners with two equivalent O(12)MgSc2Fe trigonal pyramids,  an edgeedge with one O(8)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(6)Sc2Fe3 trigonal bipyramid,  an edgeedge with one O(4)Sc3Fe2 trigonal bipyramid,  an edgeedge with one O(2)Sc2Fe2 trigonal pyramid, and  an edgeedge with one O(9)Sc2Fe2 trigonal pyramid. In the second O site, O(2) is bonded to one Sc(1), one Sc(4), one Fe(2), and one Fe(4) atom to form OSc2Fe2 trigonal pyramids that share  a cornercorner with one O(4)Sc3Fe2 trigonal bipyramid,  a cornercorner with one O(9)Sc2Fe2 trigonal pyramid, corners with two equivalent O(12)MgSc2Fe trigonal pyramids, corners with two equivalent O(7)Sc2Fe2 trigonal pyramids,  an edgeedge with one O(1)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(6)Sc2Fe3 trigonal bipyramid,  an edgeedge with one O(4)Sc3Fe2 trigonal bipyramid, and  an edgeedge with one O(9)Sc2Fe2 trigonal pyramid. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mg(1), one Sc(2), and one Fe(3) atom. In the fourth O site, O(4) is bonded to one Sc(1), one Sc(2), one Sc(3), one Fe(2), and one Fe(4) atom to form distorted OSc3Fe2 trigonal bipyramids that share corners with two equivalent O(8)MgSc2Fe2 trigonal bipyramids,  a cornercorner with one O(12)MgSc2Fe trigonal pyramid,  a cornercorner with one O(2)Sc2Fe2 trigonal pyramid,  a cornercorner with one O(7)Sc2Fe2 trigonal pyramid, corners with three equivalent O(9)Sc2Fe2 trigonal pyramids,  an edgeedge with one O(1)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(6)Sc2Fe3 trigonal bipyramid,  an edgeedge with one O(12)MgSc2Fe trigonal pyramid,  an edgeedge with one O(2)Sc2Fe2 trigonal pyramid, and  an edgeedge with one O(7)Sc2Fe2 trigonal pyramid. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Mg(1), one Sc(1), one Sc(2), one Fe(1), and one Fe(3) atom. In the sixth O site, O(6) is bonded to one Sc(3), one Sc(4), one Fe(1), one Fe(3), and one Fe(4) atom to form distorted OSc2Fe3 trigonal bipyramids that share  a cornercorner with one O(1)MgSc2Fe2 trigonal bipyramid,  a cornercorner with one O(8)MgSc2Fe2 trigonal bipyramid, corners with two equivalent O(7)Sc2Fe2 trigonal pyramids, corners with three equivalent O(9)Sc2Fe2 trigonal pyramids,  an edgeedge with one O(1)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(8)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(4)Sc3Fe2 trigonal bipyramid, and  an edgeedge with one O(2)Sc2Fe2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Sc(1), one Sc(2), one Fe(3), and one Fe(4) atom to form OSc2Fe2 trigonal pyramids that share  a cornercorner with one O(4)Sc3Fe2 trigonal bipyramid, corners with two equivalent O(6)Sc2Fe3 trigonal bipyramids,  a cornercorner with one O(9)Sc2Fe2 trigonal pyramid, corners with two equivalent O(2)Sc2Fe2 trigonal pyramids,  an edgeedge with one O(8)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(4)Sc3Fe2 trigonal bipyramid, and  an edgeedge with one O(12)MgSc2Fe trigonal pyramid. In the eighth O site, O(8) is bonded to one Mg(1), one Sc(2), one Sc(3), one Fe(1), and one Fe(3) atom to form distorted OMgSc2Fe2 trigonal bipyramids that share  a cornercorner with one O(1)MgSc2Fe2 trigonal bipyramid,  a cornercorner with one O(6)Sc2Fe3 trigonal bipyramid, corners with two equivalent O(4)Sc3Fe2 trigonal bipyramids,  a cornercorner with one O(9)Sc2Fe2 trigonal pyramid,  an edgeedge with one O(1)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(6)Sc2Fe3 trigonal bipyramid,  an edgeedge with one O(12)MgSc2Fe trigonal pyramid, and  an edgeedge with one O(7)Sc2Fe2 trigonal pyramid. In the ninth O site, O(9) is bonded to one Sc(3), one Sc(4), one Fe(2), and one Fe(4) atom to form distorted OSc2Fe2 trigonal pyramids that share  a cornercorner with one O(1)MgSc2Fe2 trigonal bipyramid,  a cornercorner with one O(8)MgSc2Fe2 trigonal bipyramid, corners with three equivalent O(6)Sc2Fe3 trigonal bipyramids, corners with three equivalent O(4)Sc3Fe2 trigonal bipyramids,  a cornercorner with one O(12)MgSc2Fe trigonal pyramid,  a cornercorner with one O(2)Sc2Fe2 trigonal pyramid,  a cornercorner with one O(7)Sc2Fe2 trigonal pyramid,  an edgeedge with one O(1)MgSc2Fe2 trigonal bipyramid, and  an edgeedge with one O(2)Sc2Fe2 trigonal pyramid. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to one Mg(1), one Sc(4), one Fe(1), and one Fe(3) atom. In the eleventh O site, O(11) is bonded in a 6-coordinate geometry to one Sc(1), one Sc(3), one Sc(4), one Fe(1), one Fe(2), and one Fe(4) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Sc(1), one Sc(2), and one Fe(2) atom to form OMgSc2Fe trigonal pyramids that share  a cornercorner with one O(4)Sc3Fe2 trigonal bipyramid, corners with two equivalent O(1)MgSc2Fe2 trigonal bipyramids,  a cornercorner with one O(9)Sc2Fe2 trigonal pyramid, corners with two equivalent O(2)Sc2Fe2 trigonal pyramids,  an edgeedge with one O(8)MgSc2Fe2 trigonal bipyramid,  an edgeedge with one O(4)Sc3Fe2 trigonal bipyramid, and  an edgeedge with one O(7)Sc2Fe2 trigonal pyramid.