BaFeCoPbO5 crystallizes in the orthorhombic Pnma space group. Ba(1) is bonded to one O(5), two equivalent O(3), two equivalent O(4), three equivalent O(1), and four equivalent O(2) atoms to form BaO12 cuboctahedra that share corners with six equivalent Ba(1)O12 cuboctahedra,  a cornercorner with one Fe(1)O5 trigonal bipyramid, faces with four equivalent Ba(1)O12 cuboctahedra, faces with six equivalent Co(1)O6 octahedra, and faces with two equivalent Fe(1)O5 trigonal bipyramids. Fe(1) is bonded to one O(3), one O(4), and three equivalent O(5) atoms to form FeO5 trigonal bipyramids that share  a cornercorner with one Ba(1)O12 cuboctahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Fe(1)O5 trigonal bipyramids, edges with two equivalent Fe(1)O5 trigonal bipyramids, and faces with two equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 9-14°. Co(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form CoO6 octahedra that share corners with four equivalent Co(1)O6 octahedra, corners with two equivalent Fe(1)O5 trigonal bipyramids, and faces with six equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 1-9°. Pb(1) is bonded in a 6-coordinate geometry to one O(1), one O(5), two equivalent O(3), and two equivalent O(4) atoms. There are five inequivalent O sites. In the first O site, O(5) is bonded in a distorted T-shaped geometry to one Ba(1), three equivalent Fe(1), and one Pb(1) atom. In the second O site, O(1) is bonded to three equivalent Ba(1), two equivalent Co(1), and one Pb(1) atom to form distorted OBa3Co2Pb octahedra that share corners with four equivalent O(1)Ba3Co2Pb octahedra, corners with four equivalent O(2)Ba4Co2 octahedra, edges with two equivalent O(1)Ba3Co2Pb octahedra, and faces with four equivalent O(2)Ba4Co2 octahedra. The corner-sharing octahedral tilt angles range from 9-58°. In the third O site, O(2) is bonded to four equivalent Ba(1) and two equivalent Co(1) atoms to form distorted OBa4Co2 octahedra that share corners with four equivalent O(1)Ba3Co2Pb octahedra, corners with four equivalent O(2)Ba4Co2 octahedra, edges with two equivalent O(2)Ba4Co2 octahedra, faces with two equivalent O(2)Ba4Co2 octahedra, and faces with four equivalent O(1)Ba3Co2Pb octahedra. The corner-sharing octahedral tilt angles range from 55-58°. In the fourth O site, O(3) is bonded in a 6-coordinate geometry to two equivalent Ba(1), one Fe(1), one Co(1), and two equivalent Pb(1) atoms. In the fifth O site, O(4) is bonded in a distorted linear geometry to two equivalent Ba(1), one Fe(1), one Co(1), and two equivalent Pb(1) atoms.
BaFeCoPbO5 crystallizes in the orthorhombic Pnma space group. Ba(1) is bonded to one O(5), two equivalent O(3), two equivalent O(4), three equivalent O(1), and four equivalent O(2) atoms to form BaO12 cuboctahedra that share corners with six equivalent Ba(1)O12 cuboctahedra,  a cornercorner with one Fe(1)O5 trigonal bipyramid, faces with four equivalent Ba(1)O12 cuboctahedra, faces with six equivalent Co(1)O6 octahedra, and faces with two equivalent Fe(1)O5 trigonal bipyramids. The Ba(1)-O(5) bond length is 3.16 Å. Both Ba(1)-O(3) bond lengths are 3.05 Å. Both Ba(1)-O(4) bond lengths are 3.00 Å. There are a spread of Ba(1)-O(1) bond distances ranging from 2.85-2.91 Å. All Ba(1)-O(2) bond lengths are 2.81 Å. Fe(1) is bonded to one O(3), one O(4), and three equivalent O(5) atoms to form FeO5 trigonal bipyramids that share  a cornercorner with one Ba(1)O12 cuboctahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Fe(1)O5 trigonal bipyramids, edges with two equivalent Fe(1)O5 trigonal bipyramids, and faces with two equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 9-14°. The Fe(1)-O(3) bond length is 1.90 Å. The Fe(1)-O(4) bond length is 1.95 Å. There is one shorter (2.01 Å) and two longer (2.04 Å) Fe(1)-O(5) bond lengths. Co(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form CoO6 octahedra that share corners with four equivalent Co(1)O6 octahedra, corners with two equivalent Fe(1)O5 trigonal bipyramids, and faces with six equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 1-9°. The Co(1)-O(3) bond length is 2.20 Å. The Co(1)-O(4) bond length is 2.04 Å. Both Co(1)-O(1) bond lengths are 2.02 Å. There is one shorter (1.92 Å) and one longer (2.07 Å) Co(1)-O(2) bond length. Pb(1) is bonded in a 6-coordinate geometry to one O(1), one O(5), two equivalent O(3), and two equivalent O(4) atoms. The Pb(1)-O(1) bond length is 2.25 Å. The Pb(1)-O(5) bond length is 2.79 Å. Both Pb(1)-O(3) bond lengths are 2.57 Å. Both Pb(1)-O(4) bond lengths are 2.58 Å. There are five inequivalent O sites. In the first O site, O(5) is bonded in a distorted T-shaped geometry to one Ba(1), three equivalent Fe(1), and one Pb(1) atom. In the second O site, O(1) is bonded to three equivalent Ba(1), two equivalent Co(1), and one Pb(1) atom to form distorted OBa3Co2Pb octahedra that share corners with four equivalent O(1)Ba3Co2Pb octahedra, corners with four equivalent O(2)Ba4Co2 octahedra, edges with two equivalent O(1)Ba3Co2Pb octahedra, and faces with four equivalent O(2)Ba4Co2 octahedra. The corner-sharing octahedral tilt angles range from 9-58°. In the third O site, O(2) is bonded to four equivalent Ba(1) and two equivalent Co(1) atoms to form distorted OBa4Co2 octahedra that share corners with four equivalent O(1)Ba3Co2Pb octahedra, corners with four equivalent O(2)Ba4Co2 octahedra, edges with two equivalent O(2)Ba4Co2 octahedra, faces with two equivalent O(2)Ba4Co2 octahedra, and faces with four equivalent O(1)Ba3Co2Pb octahedra. The corner-sharing octahedral tilt angles range from 55-58°. In the fourth O site, O(3) is bonded in a 6-coordinate geometry to two equivalent Ba(1), one Fe(1), one Co(1), and two equivalent Pb(1) atoms. In the fifth O site, O(4) is bonded in a distorted linear geometry to two equivalent Ba(1), one Fe(1), one Co(1), and two equivalent Pb(1) atoms.