GaFeO3 crystallizes in the triclinic P1 space group. There are eight inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), 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 Fe(3)O6 octahedra,  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra,  a cornercorner with one Ga(8)O4 tetrahedra,  an edgeedge with one Fe(8)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra,  an edgeedge with one Ga(4)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-56°. In the second Fe site, Fe(2) is bonded to one O(11), one O(12), 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 Fe(8)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra,  a cornercorner with one Ga(7)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra,  a cornercorner with one Ga(6)O4 tetrahedra,  an edgeedge with one Fe(4)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra,  an edgeedge with one Ga(4)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-59°. In the third Fe site, Fe(3) is bonded to one O(12), one O(14), one O(15), one O(18), one O(8), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra,  a cornercorner with one Ga(6)O4 tetrahedra, corners with two equivalent Ga(5)O4 tetrahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, and edges with two equivalent Ga(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-59°. In the fourth Fe site, Fe(4) is bonded to one O(10), one O(11), one O(13), one O(16), one O(17), and one O(7) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra,  a cornercorner with one Ga(5)O4 tetrahedra,  a cornercorner with one Ga(8)O4 tetrahedra, corners with two equivalent Ga(6)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and edges with two equivalent Ga(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-58°. In the fifth Fe site, Fe(5) is bonded to one O(13), one O(14), one O(16), one O(18), one O(19), and one O(21) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(8)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra,  a cornercorner with one Ga(7)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra,  a cornercorner with one Ga(5)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Ga(7)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-58°. In the sixth Fe site, Fe(6) is bonded to one O(1), one O(15), one O(18), one O(19), one O(22), and one O(23) atom to form FeO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra,  a cornercorner with one Ga(6)O4 tetrahedra,  a cornercorner with one Ga(8)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(7)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with two equivalent Ga(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-52°. In the seventh Fe site, Fe(7) is bonded to one O(16), one O(18), one O(19), one O(21), one O(23), and one O(24) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra, corners with two equivalent Fe(8)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(7)O6 octahedra, and edges with two equivalent Fe(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-58°. In the eighth Fe site, Fe(8) is bonded to one O(2), one O(20), one O(21), one O(24), one O(3), and one O(6) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra,  a cornercorner with one Ga(6)O4 tetrahedra, corners with two equivalent Ga(8)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Ga(4)O6 octahedra, and edges with two equivalent Ga(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-58°. There are eight inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one O(1), one O(19), one O(22), one O(23), one O(4), and one O(5) atom to form distorted GaO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Ga(5)O4 tetrahedra,  a cornercorner with one Ga(8)O4 tetrahedra, corners with two equivalent Ga(2)O4 tetrahedra,  an edgeedge with one Fe(7)O6 octahedra,  an edgeedge with one Ga(7)O6 octahedra, and edges with two equivalent Fe(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-56°. In the second Ga site, Ga(2) is bonded to one O(23), one O(3), one O(5), and one O(8) atom to form GaO4 tetrahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra,  a cornercorner with one Fe(8)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, and corners with two equivalent Ga(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-66°. In the third Ga site, Ga(3) is bonded to one O(10), one O(2), one O(24), one O(3), one O(6), and one O(7) atom to form GaO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra,  a cornercorner with one Ga(5)O4 tetrahedra,  a cornercorner with one Ga(8)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra, edges with two equivalent Fe(8)O6 octahedra, and edges with two equivalent Ga(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-50°. In the fourth Ga site, Ga(4) is bonded to one O(10), one O(11), one O(13), one O(3), one O(6), and one O(7) atom to form GaO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra,  a cornercorner with one Ga(5)O4 tetrahedra,  a cornercorner with one Ga(6)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(8)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra, and edges with two equivalent Ga(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-50°. In the fifth Ga site, Ga(5) is bonded to one O(10), one O(14), one O(5), and one O(8) atom to form GaO4 tetrahedra that share  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra,  a cornercorner with one Ga(7)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, and corners with two equivalent Ga(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-67°. In the sixth Ga site, Ga(6) is bonded to one O(11), one O(15), one O(17), and one O(20) atom to form GaO4 tetrahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra,  a cornercorner with one Fe(8)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra,  a cornercorner with one Ga(7)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, and corners with two equivalent Ga(8)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-66°. In the seventh Ga site, Ga(7) is bonded to one O(12), one O(14), one O(15), one O(18), one O(19), and one O(22) atom to form GaO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Ga(5)O4 tetrahedra,  a cornercorner with one Ga(6)O4 tetrahedra,  a cornercorner with one Ga(8)O4 tetrahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(7)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Fe(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 15-50°. In the eighth Ga site, Ga(8) is bonded to one O(17), one O(2), one O(20), and one O(22) atom to form GaO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra,  a cornercorner with one Ga(7)O6 octahedra, corners with two equivalent Fe(8)O6 octahedra, and corners with two equivalent Ga(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 57-66°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Fe(1), one Fe(6), and one Ga(1) atom. In the second O site, O(2) is bonded to one Fe(1), one Fe(8), one Ga(3), and one Ga(8) atom to form OGa2Fe2 tetrahedra that share  a cornercorner with one O(6)Ga2Fe3 square pyramid,  a cornercorner with one O(10)Ga3Fe tetrahedra,  a cornercorner with one O(22)Ga3Fe tetrahedra,  an edgeedge with one O(6)Ga2Fe3 square pyramid,  an edgeedge with one O(7)Ga2Fe3 square pyramid, and  an edgeedge with one O(3)Ga3Fe tetrahedra. In the third O site, O(3) is bonded to one Fe(8), one Ga(2), one Ga(3), and one Ga(4) atom to form distorted OGa3Fe tetrahedra that share  a cornercorner with one O(6)Ga2Fe3 square pyramid,  a cornercorner with one O(11)Ga2Fe2 tetrahedra,  a cornercorner with one O(23)Ga2Fe2 tetrahedra, corners with two equivalent O(10)Ga3Fe tetrahedra,  an edgeedge with one O(6)Ga2Fe3 square pyramid,  an edgeedge with one O(7)Ga2Fe3 square pyramid, and  an edgeedge with one O(2)Ga2Fe2 tetrahedra. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Fe(1), one Fe(2), and one Ga(1) atom. In the fifth O site, O(5) is bonded in a trigonal planar geometry to one Ga(1), one Ga(2), and one Ga(5) atom. In the sixth O site, O(6) is bonded to one Fe(1), one Fe(2), one Fe(8), one Ga(3), and one Ga(4) atom to form distorted OGa2Fe3 square pyramids that share  a cornercorner with one O(2)Ga2Fe2 tetrahedra,  a cornercorner with one O(3)Ga3Fe tetrahedra, edges with two equivalent O(7)Ga2Fe3 square pyramids,  an edgeedge with one O(11)Ga2Fe2 tetrahedra,  an edgeedge with one O(2)Ga2Fe2 tetrahedra,  an edgeedge with one O(10)Ga3Fe tetrahedra, and  an edgeedge with one O(3)Ga3Fe tetrahedra. In the seventh O site, O(7) is bonded to one Fe(1), one Fe(2), one Fe(4), one Ga(3), and one Ga(4) atom to form distorted OGa2Fe3 square pyramids that share  a cornercorner with one O(11)Ga2Fe2 tetrahedra,  a cornercorner with one O(10)Ga3Fe tetrahedra, edges with two equivalent O(6)Ga2Fe3 square pyramids,  an edgeedge with one O(11)Ga2Fe2 tetrahedra,  an edgeedge with one O(2)Ga2Fe2 tetrahedra,  an edgeedge with one O(10)Ga3Fe tetrahedra, and  an edgeedge with one O(3)Ga3Fe tetrahedra. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Fe(3), one Ga(2), and one Ga(5) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Fe(1), one Fe(2), and one Fe(3) atom. In the tenth O site, O(10) is bonded to one Fe(4), one Ga(3), one Ga(4), and one Ga(5) atom to form distorted OGa3Fe tetrahedra that share  a cornercorner with one O(7)Ga2Fe3 square pyramid,  a cornercorner with one O(14)Ga2Fe2 tetrahedra,  a cornercorner with one O(2)Ga2Fe2 tetrahedra, corners with two equivalent O(3)Ga3Fe tetrahedra,  an edgeedge with one O(6)Ga2Fe3 square pyramid,  an edgeedge with one O(7)Ga2Fe3 square pyramid, and  an edgeedge with one O(11)Ga2Fe2 tetrahedra. In the eleventh O site, O(11) is bonded to one Fe(2), one Fe(4), one Ga(4), and one Ga(6) atom to form OGa2Fe2 tetrahedra that share  a cornercorner with one O(7)Ga2Fe3 square pyramid,  a cornercorner with one O(15)Ga2Fe2 tetrahedra,  a cornercorner with one O(3)Ga3Fe tetrahedra,  an edgeedge with one O(6)Ga2Fe3 square pyramid,  an edgeedge with one O(7)Ga2Fe3 square pyramid, and  an edgeedge with one O(10)Ga3Fe tetrahedra. In the twelfth O site, O(12) is bonded in a trigonal planar geometry to one Fe(2), one Fe(3), and one Ga(7) atom. In the thirteenth O site, O(13) is bonded in a trigonal planar geometry to one Fe(4), one Fe(5), and one Ga(4) atom. In the fourteenth O site, O(14) is bonded to one Fe(3), one Fe(5), one Ga(5), and one Ga(7) atom to form OGa2Fe2 tetrahedra that share  a cornercorner with one O(18)GaFe4 square pyramid,  a cornercorner with one O(10)Ga3Fe tetrahedra,  a cornercorner with one O(22)Ga3Fe tetrahedra,  an edgeedge with one O(19)Ga2Fe3 square pyramid,  an edgeedge with one O(18)GaFe4 square pyramid, and  an edgeedge with one O(15)Ga2Fe2 tetrahedra. In the fifteenth O site, O(15) is bonded to one Fe(3), one Fe(6), one Ga(6), and one Ga(7) atom to form distorted OGa2Fe2 tetrahedra that share  a cornercorner with one O(18)GaFe4 square pyramid,  a cornercorner with one O(11)Ga2Fe2 tetrahedra,  a cornercorner with one O(23)Ga2Fe2 tetrahedra, corners with two equivalent O(22)Ga3Fe tetrahedra,  an edgeedge with one O(19)Ga2Fe3 square pyramid,  an edgeedge with one O(18)GaFe4 square pyramid, and  an edgeedge with one O(14)Ga2Fe2 tetrahedra. In the sixteenth O site, O(16) is bonded in a trigonal planar geometry to one Fe(4), one Fe(5), and one Fe(7) atom. In the seventeenth O site, O(17) is bonded in a trigonal planar geometry to one Fe(4), one Ga(6), and one Ga(8) atom. In the eighteenth O site, O(18) is bonded to one Fe(3), one Fe(5), one Fe(6), one Fe(7), and one Ga(7) atom to form OGaFe4 square pyramids that share  a cornercorner with one O(14)Ga2Fe2 tetrahedra,  a cornercorner with one O(15)Ga2Fe2 tetrahedra, edges with two equivalent O(19)Ga2Fe3 square pyramids,  an edgeedge with one O(14)Ga2Fe2 tetrahedra,  an edgeedge with one O(15)Ga2Fe2 tetrahedra,  an edgeedge with one O(23)Ga2Fe2 tetrahedra, and  an edgeedge with one O(22)Ga3Fe tetrahedra. In the nineteenth O site, O(19) is bonded to one Fe(5), one Fe(6), one Fe(7), one Ga(1), and one Ga(7) atom to form distorted OGa2Fe3 square pyramids that share  a cornercorner with one O(23)Ga2Fe2 tetrahedra,  a cornercorner with one O(22)Ga3Fe tetrahedra, edges with two equivalent O(18)GaFe4 square pyramids,  an edgeedge with one O(14)Ga2Fe2 tetrahedra,  an edgeedge with one O(15)Ga2Fe2 tetrahedra,  an edgeedge with one O(23)Ga2Fe2 tetrahedra, and  an edgeedge with one O(22)Ga3Fe tetrahedra. In the twentieth O site, O(20) is bonded in a trigonal planar geometry to one Fe(8), one Ga(6), and one Ga(8) atom. In the twenty-first O site, O(21) is bonded in a trigonal planar geometry to one Fe(5), one Fe(7), and one Fe(8) atom. In the twenty-second O site, O(22) is bonded to one Fe(6), one Ga(1), one Ga(7), and one Ga(8) atom to form OGa3Fe tetrahedra that share  a cornercorner with one O(19)Ga2Fe3 square pyramid,  a cornercorner with one O(14)Ga2Fe2 tetrahedra,  a cornercorner with one O(2)Ga2Fe2 tetrahedra, corners with two equivalent O(15)Ga2Fe2 tetrahedra,  an edgeedge with one O(19)Ga2Fe3 square pyramid,  an edgeedge with one O(18)GaFe4 square pyramid, and  an edgeedge with one O(23)Ga2Fe2 tetrahedra. In the twenty-third O site, O(23) is bonded to one Fe(6), one Fe(7), one Ga(1), and one Ga(2) atom to form OGa2Fe2 tetrahedra that share  a cornercorner with one O(19)Ga2Fe3 square pyramid,  a cornercorner with one O(15)Ga2Fe2 tetrahedra,  a cornercorner with one O(3)Ga3Fe tetrahedra,  an edgeedge with one O(19)Ga2Fe3 square pyramid,  an edgeedge with one O(18)GaFe4 square pyramid, and  an edgeedge with one O(22)Ga3Fe tetrahedra. In the twenty-fourth O site, O(24) is bonded in a trigonal planar geometry to one Fe(7), one Fe(8), and one Ga(3) atom.
GaFeO3 crystallizes in the triclinic P1 space group. There are eight inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), 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 Fe(3)O6 octahedra,  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra,  a cornercorner with one Ga(8)O4 tetrahedra,  an edgeedge with one Fe(8)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra,  an edgeedge with one Ga(4)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-56°. The Fe(1)-O(1) bond length is 1.95 Å. The Fe(1)-O(2) bond length is 2.10 Å. The Fe(1)-O(4) bond length is 1.97 Å. The Fe(1)-O(6) bond length is 2.14 Å. The Fe(1)-O(7) bond length is 2.40 Å. The Fe(1)-O(9) bond length is 1.97 Å. In the second Fe site, Fe(2) is bonded to one O(11), one O(12), 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 Fe(8)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra,  a cornercorner with one Ga(7)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra,  a cornercorner with one Ga(6)O4 tetrahedra,  an edgeedge with one Fe(4)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra,  an edgeedge with one Ga(4)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-59°. The Fe(2)-O(11) bond length is 2.11 Å. The Fe(2)-O(12) bond length is 1.95 Å. The Fe(2)-O(4) bond length is 1.96 Å. The Fe(2)-O(6) bond length is 2.42 Å. The Fe(2)-O(7) bond length is 2.13 Å. The Fe(2)-O(9) bond length is 1.97 Å. In the third Fe site, Fe(3) is bonded to one O(12), one O(14), one O(15), one O(18), one O(8), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra,  a cornercorner with one Ga(6)O4 tetrahedra, corners with two equivalent Ga(5)O4 tetrahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, and edges with two equivalent Ga(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-59°. The Fe(3)-O(12) bond length is 1.96 Å. The Fe(3)-O(14) bond length is 2.08 Å. The Fe(3)-O(15) bond length is 2.13 Å. The Fe(3)-O(18) bond length is 2.33 Å. The Fe(3)-O(8) bond length is 2.01 Å. The Fe(3)-O(9) bond length is 1.94 Å. In the fourth Fe site, Fe(4) is bonded to one O(10), one O(11), one O(13), one O(16), one O(17), and one O(7) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra,  a cornercorner with one Ga(5)O4 tetrahedra,  a cornercorner with one Ga(8)O4 tetrahedra, corners with two equivalent Ga(6)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and edges with two equivalent Ga(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-58°. The Fe(4)-O(10) bond length is 2.14 Å. The Fe(4)-O(11) bond length is 2.08 Å. The Fe(4)-O(13) bond length is 1.96 Å. The Fe(4)-O(16) bond length is 1.93 Å. The Fe(4)-O(17) bond length is 2.01 Å. The Fe(4)-O(7) bond length is 2.34 Å. In the fifth Fe site, Fe(5) is bonded to one O(13), one O(14), one O(16), one O(18), one O(19), and one O(21) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(8)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra,  a cornercorner with one Ga(7)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra,  a cornercorner with one Ga(5)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Ga(7)O6 octahedra, and edges with two equivalent Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-58°. The Fe(5)-O(13) bond length is 1.95 Å. The Fe(5)-O(14) bond length is 2.11 Å. The Fe(5)-O(16) bond length is 1.97 Å. The Fe(5)-O(18) bond length is 2.12 Å. The Fe(5)-O(19) bond length is 2.41 Å. The Fe(5)-O(21) bond length is 1.97 Å. In the sixth Fe site, Fe(6) is bonded to one O(1), one O(15), one O(18), one O(19), one O(22), and one O(23) atom to form FeO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra,  a cornercorner with one Ga(6)O4 tetrahedra,  a cornercorner with one Ga(8)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(7)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with two equivalent Ga(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-52°. The Fe(6)-O(1) bond length is 1.95 Å. The Fe(6)-O(15) bond length is 2.09 Å. The Fe(6)-O(18) bond length is 2.04 Å. The Fe(6)-O(19) bond length is 2.08 Å. The Fe(6)-O(22) bond length is 2.06 Å. The Fe(6)-O(23) bond length is 2.10 Å. In the seventh Fe site, Fe(7) is bonded to one O(16), one O(18), one O(19), one O(21), one O(23), and one O(24) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra, corners with two equivalent Fe(8)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra,  an edgeedge with one Fe(6)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(7)O6 octahedra, and edges with two equivalent Fe(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-58°. The Fe(7)-O(16) bond length is 1.97 Å. The Fe(7)-O(18) bond length is 2.41 Å. The Fe(7)-O(19) bond length is 2.11 Å. The Fe(7)-O(21) bond length is 1.97 Å. The Fe(7)-O(23) bond length is 2.12 Å. The Fe(7)-O(24) bond length is 1.95 Å. In the eighth Fe site, Fe(8) is bonded to one O(2), one O(20), one O(21), one O(24), one O(3), and one O(6) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra,  a cornercorner with one Ga(6)O4 tetrahedra, corners with two equivalent Ga(8)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Ga(4)O6 octahedra, and edges with two equivalent Ga(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-58°. The Fe(8)-O(2) bond length is 2.09 Å. The Fe(8)-O(20) bond length is 2.01 Å. The Fe(8)-O(21) bond length is 1.94 Å. The Fe(8)-O(24) bond length is 1.96 Å. The Fe(8)-O(3) bond length is 2.14 Å. The Fe(8)-O(6) bond length is 2.31 Å. There are eight inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one O(1), one O(19), one O(22), one O(23), one O(4), and one O(5) atom to form distorted GaO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Ga(5)O4 tetrahedra,  a cornercorner with one Ga(8)O4 tetrahedra, corners with two equivalent Ga(2)O4 tetrahedra,  an edgeedge with one Fe(7)O6 octahedra,  an edgeedge with one Ga(7)O6 octahedra, and edges with two equivalent Fe(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-56°. The Ga(1)-O(1) bond length is 1.92 Å. The Ga(1)-O(19) bond length is 2.36 Å. The Ga(1)-O(22) bond length is 2.13 Å. The Ga(1)-O(23) bond length is 2.04 Å. The Ga(1)-O(4) bond length is 1.90 Å. The Ga(1)-O(5) bond length is 1.98 Å. In the second Ga site, Ga(2) is bonded to one O(23), one O(3), one O(5), and one O(8) atom to form GaO4 tetrahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra,  a cornercorner with one Fe(8)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, and corners with two equivalent Ga(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-66°. The Ga(2)-O(23) bond length is 1.87 Å. The Ga(2)-O(3) bond length is 1.89 Å. The Ga(2)-O(5) bond length is 1.85 Å. The Ga(2)-O(8) bond length is 1.87 Å. In the third Ga site, Ga(3) is bonded to one O(10), one O(2), one O(24), one O(3), one O(6), and one O(7) atom to form GaO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra,  a cornercorner with one Ga(5)O4 tetrahedra,  a cornercorner with one Ga(8)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra, edges with two equivalent Fe(8)O6 octahedra, and edges with two equivalent Ga(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-50°. The Ga(3)-O(10) bond length is 2.06 Å. The Ga(3)-O(2) bond length is 2.07 Å. The Ga(3)-O(24) bond length is 1.90 Å. The Ga(3)-O(3) bond length is 2.04 Å. The Ga(3)-O(6) bond length is 2.08 Å. The Ga(3)-O(7) bond length is 1.99 Å. In the fourth Ga site, Ga(4) is bonded to one O(10), one O(11), one O(13), one O(3), one O(6), and one O(7) atom to form GaO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra,  a cornercorner with one Ga(5)O4 tetrahedra,  a cornercorner with one Ga(6)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(8)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra, and edges with two equivalent Ga(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-50°. The Ga(4)-O(10) bond length is 2.04 Å. The Ga(4)-O(11) bond length is 2.06 Å. The Ga(4)-O(13) bond length is 1.90 Å. The Ga(4)-O(3) bond length is 2.06 Å. The Ga(4)-O(6) bond length is 1.99 Å. The Ga(4)-O(7) bond length is 2.09 Å. In the fifth Ga site, Ga(5) is bonded to one O(10), one O(14), one O(5), and one O(8) atom to form GaO4 tetrahedra that share  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra,  a cornercorner with one Ga(7)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, and corners with two equivalent Ga(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-67°. The Ga(5)-O(10) bond length is 1.89 Å. The Ga(5)-O(14) bond length is 1.87 Å. The Ga(5)-O(5) bond length is 1.88 Å. The Ga(5)-O(8) bond length is 1.85 Å. In the sixth Ga site, Ga(6) is bonded to one O(11), one O(15), one O(17), and one O(20) atom to form GaO4 tetrahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra,  a cornercorner with one Fe(8)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra,  a cornercorner with one Ga(7)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, and corners with two equivalent Ga(8)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-66°. The Ga(6)-O(11) bond length is 1.87 Å. The Ga(6)-O(15) bond length is 1.89 Å. The Ga(6)-O(17) bond length is 1.85 Å. The Ga(6)-O(20) bond length is 1.87 Å. In the seventh Ga site, Ga(7) is bonded to one O(12), one O(14), one O(15), one O(18), one O(19), and one O(22) atom to form GaO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Ga(5)O4 tetrahedra,  a cornercorner with one Ga(6)O4 tetrahedra,  a cornercorner with one Ga(8)O4 tetrahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(7)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Fe(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 15-50°. The Ga(7)-O(12) bond length is 1.91 Å. The Ga(7)-O(14) bond length is 2.06 Å. The Ga(7)-O(15) bond length is 2.04 Å. The Ga(7)-O(18) bond length is 2.07 Å. The Ga(7)-O(19) bond length is 2.00 Å. The Ga(7)-O(22) bond length is 2.08 Å. In the eighth Ga site, Ga(8) is bonded to one O(17), one O(2), one O(20), and one O(22) atom to form GaO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra,  a cornercorner with one Ga(7)O6 octahedra, corners with two equivalent Fe(8)O6 octahedra, and corners with two equivalent Ga(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 57-66°. The Ga(8)-O(17) bond length is 1.87 Å. The Ga(8)-O(2) bond length is 1.87 Å. The Ga(8)-O(20) bond length is 1.85 Å. The Ga(8)-O(22) bond length is 1.89 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Fe(1), one Fe(6), and one Ga(1) atom. In the second O site, O(2) is bonded to one Fe(1), one Fe(8), one Ga(3), and one Ga(8) atom to form OGa2Fe2 tetrahedra that share  a cornercorner with one O(6)Ga2Fe3 square pyramid,  a cornercorner with one O(10)Ga3Fe tetrahedra,  a cornercorner with one O(22)Ga3Fe tetrahedra,  an edgeedge with one O(6)Ga2Fe3 square pyramid,  an edgeedge with one O(7)Ga2Fe3 square pyramid, and  an edgeedge with one O(3)Ga3Fe tetrahedra. In the third O site, O(3) is bonded to one Fe(8), one Ga(2), one Ga(3), and one Ga(4) atom to form distorted OGa3Fe tetrahedra that share  a cornercorner with one O(6)Ga2Fe3 square pyramid,  a cornercorner with one O(11)Ga2Fe2 tetrahedra,  a cornercorner with one O(23)Ga2Fe2 tetrahedra, corners with two equivalent O(10)Ga3Fe tetrahedra,  an edgeedge with one O(6)Ga2Fe3 square pyramid,  an edgeedge with one O(7)Ga2Fe3 square pyramid, and  an edgeedge with one O(2)Ga2Fe2 tetrahedra. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Fe(1), one Fe(2), and one Ga(1) atom. In the fifth O site, O(5) is bonded in a trigonal planar geometry to one Ga(1), one Ga(2), and one Ga(5) atom. In the sixth O site, O(6) is bonded to one Fe(1), one Fe(2), one Fe(8), one Ga(3), and one Ga(4) atom to form distorted OGa2Fe3 square pyramids that share  a cornercorner with one O(2)Ga2Fe2 tetrahedra,  a cornercorner with one O(3)Ga3Fe tetrahedra, edges with two equivalent O(7)Ga2Fe3 square pyramids,  an edgeedge with one O(11)Ga2Fe2 tetrahedra,  an edgeedge with one O(2)Ga2Fe2 tetrahedra,  an edgeedge with one O(10)Ga3Fe tetrahedra, and  an edgeedge with one O(3)Ga3Fe tetrahedra. In the seventh O site, O(7) is bonded to one Fe(1), one Fe(2), one Fe(4), one Ga(3), and one Ga(4) atom to form distorted OGa2Fe3 square pyramids that share  a cornercorner with one O(11)Ga2Fe2 tetrahedra,  a cornercorner with one O(10)Ga3Fe tetrahedra, edges with two equivalent O(6)Ga2Fe3 square pyramids,  an edgeedge with one O(11)Ga2Fe2 tetrahedra,  an edgeedge with one O(2)Ga2Fe2 tetrahedra,  an edgeedge with one O(10)Ga3Fe tetrahedra, and  an edgeedge with one O(3)Ga3Fe tetrahedra. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Fe(3), one Ga(2), and one Ga(5) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Fe(1), one Fe(2), and one Fe(3) atom. In the tenth O site, O(10) is bonded to one Fe(4), one Ga(3), one Ga(4), and one Ga(5) atom to form distorted OGa3Fe tetrahedra that share  a cornercorner with one O(7)Ga2Fe3 square pyramid,  a cornercorner with one O(14)Ga2Fe2 tetrahedra,  a cornercorner with one O(2)Ga2Fe2 tetrahedra, corners with two equivalent O(3)Ga3Fe tetrahedra,  an edgeedge with one O(6)Ga2Fe3 square pyramid,  an edgeedge with one O(7)Ga2Fe3 square pyramid, and  an edgeedge with one O(11)Ga2Fe2 tetrahedra. In the eleventh O site, O(11) is bonded to one Fe(2), one Fe(4), one Ga(4), and one Ga(6) atom to form OGa2Fe2 tetrahedra that share  a cornercorner with one O(7)Ga2Fe3 square pyramid,  a cornercorner with one O(15)Ga2Fe2 tetrahedra,  a cornercorner with one O(3)Ga3Fe tetrahedra,  an edgeedge with one O(6)Ga2Fe3 square pyramid,  an edgeedge with one O(7)Ga2Fe3 square pyramid, and  an edgeedge with one O(10)Ga3Fe tetrahedra. In the twelfth O site, O(12) is bonded in a trigonal planar geometry to one Fe(2), one Fe(3), and one Ga(7) atom. In the thirteenth O site, O(13) is bonded in a trigonal planar geometry to one Fe(4), one Fe(5), and one Ga(4) atom. In the fourteenth O site, O(14) is bonded to one Fe(3), one Fe(5), one Ga(5), and one Ga(7) atom to form OGa2Fe2 tetrahedra that share  a cornercorner with one O(18)GaFe4 square pyramid,  a cornercorner with one O(10)Ga3Fe tetrahedra,  a cornercorner with one O(22)Ga3Fe tetrahedra,  an edgeedge with one O(19)Ga2Fe3 square pyramid,  an edgeedge with one O(18)GaFe4 square pyramid, and  an edgeedge with one O(15)Ga2Fe2 tetrahedra. In the fifteenth O site, O(15) is bonded to one Fe(3), one Fe(6), one Ga(6), and one Ga(7) atom to form distorted OGa2Fe2 tetrahedra that share  a cornercorner with one O(18)GaFe4 square pyramid,  a cornercorner with one O(11)Ga2Fe2 tetrahedra,  a cornercorner with one O(23)Ga2Fe2 tetrahedra, corners with two equivalent O(22)Ga3Fe tetrahedra,  an edgeedge with one O(19)Ga2Fe3 square pyramid,  an edgeedge with one O(18)GaFe4 square pyramid, and  an edgeedge with one O(14)Ga2Fe2 tetrahedra. In the sixteenth O site, O(16) is bonded in a trigonal planar geometry to one Fe(4), one Fe(5), and one Fe(7) atom. In the seventeenth O site, O(17) is bonded in a trigonal planar geometry to one Fe(4), one Ga(6), and one Ga(8) atom. In the eighteenth O site, O(18) is bonded to one Fe(3), one Fe(5), one Fe(6), one Fe(7), and one Ga(7) atom to form OGaFe4 square pyramids that share  a cornercorner with one O(14)Ga2Fe2 tetrahedra,  a cornercorner with one O(15)Ga2Fe2 tetrahedra, edges with two equivalent O(19)Ga2Fe3 square pyramids,  an edgeedge with one O(14)Ga2Fe2 tetrahedra,  an edgeedge with one O(15)Ga2Fe2 tetrahedra,  an edgeedge with one O(23)Ga2Fe2 tetrahedra, and  an edgeedge with one O(22)Ga3Fe tetrahedra. In the nineteenth O site, O(19) is bonded to one Fe(5), one Fe(6), one Fe(7), one Ga(1), and one Ga(7) atom to form distorted OGa2Fe3 square pyramids that share  a cornercorner with one O(23)Ga2Fe2 tetrahedra,  a cornercorner with one O(22)Ga3Fe tetrahedra, edges with two equivalent O(18)GaFe4 square pyramids,  an edgeedge with one O(14)Ga2Fe2 tetrahedra,  an edgeedge with one O(15)Ga2Fe2 tetrahedra,  an edgeedge with one O(23)Ga2Fe2 tetrahedra, and  an edgeedge with one O(22)Ga3Fe tetrahedra. In the twentieth O site, O(20) is bonded in a trigonal planar geometry to one Fe(8), one Ga(6), and one Ga(8) atom. In the twenty-first O site, O(21) is bonded in a trigonal planar geometry to one Fe(5), one Fe(7), and one Fe(8) atom. In the twenty-second O site, O(22) is bonded to one Fe(6), one Ga(1), one Ga(7), and one Ga(8) atom to form OGa3Fe tetrahedra that share  a cornercorner with one O(19)Ga2Fe3 square pyramid,  a cornercorner with one O(14)Ga2Fe2 tetrahedra,  a cornercorner with one O(2)Ga2Fe2 tetrahedra, corners with two equivalent O(15)Ga2Fe2 tetrahedra,  an edgeedge with one O(19)Ga2Fe3 square pyramid,  an edgeedge with one O(18)GaFe4 square pyramid, and  an edgeedge with one O(23)Ga2Fe2 tetrahedra. In the twenty-third O site, O(23) is bonded to one Fe(6), one Fe(7), one Ga(1), and one Ga(2) atom to form OGa2Fe2 tetrahedra that share  a cornercorner with one O(19)Ga2Fe3 square pyramid,  a cornercorner with one O(15)Ga2Fe2 tetrahedra,  a cornercorner with one O(3)Ga3Fe tetrahedra,  an edgeedge with one O(19)Ga2Fe3 square pyramid,  an edgeedge with one O(18)GaFe4 square pyramid, and  an edgeedge with one O(22)Ga3Fe tetrahedra. In the twenty-fourth O site, O(24) is bonded in a trigonal planar geometry to one Fe(7), one Fe(8), and one Ga(3) atom.