Ba4MgYb8(CoO5)4 crystallizes in the triclinic P1 space group. There are four inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 9-coordinate geometry to one O(11), one O(13), one O(19), one O(4), one O(6), one O(8), one O(9), and two equivalent O(3) atoms. In the second Ba site, Ba(2) is bonded in a 11-coordinate geometry to one O(10), one O(12), one O(13), one O(14), one O(19), one O(20), one O(3), one O(5), one O(7), and two equivalent O(4) atoms. In the third Ba site, Ba(3) is bonded in a 7-coordinate geometry to one Mg(1), one O(15), one O(17), one O(6), one O(9), and two equivalent O(1) atoms. In the fourth Ba site, Ba(4) is bonded in a 11-coordinate geometry to one O(1), one O(10), one O(12), one O(15), one O(16), one O(17), one O(18), one O(5), one O(7), and two equivalent O(2) atoms. Mg(1) is bonded in a trigonal non-coplanar geometry to one Ba(3), one O(16), one O(18), and one O(2) atom. There are eight inequivalent Yb sites. In the first Yb site, Yb(1) is bonded in a 7-coordinate geometry to one O(1), one O(15), one O(16), one O(17), one O(18), one O(6), and one O(9) atom. In the second Yb site, Yb(2) is bonded in a 7-coordinate geometry to one O(10), one O(15), one O(16), one O(17), one O(18), one O(2), and one O(5) atom. In the third Yb site, Yb(3) is bonded to one O(11), one O(13), one O(14), one O(19), one O(20), one O(3), and one O(8) atom to form distorted YbO7 pentagonal bipyramids that share  a cornercorner with one Co(3)O5 trigonal bipyramid, corners with two equivalent Co(1)O5 trigonal bipyramids, corners with two equivalent Co(4)O5 trigonal bipyramids, edges with two equivalent Yb(4)O7 pentagonal bipyramids, and  an edgeedge with one Co(3)O5 trigonal bipyramid. In the fourth Yb site, Yb(4) is bonded to one O(12), one O(13), one O(14), one O(19), one O(20), one O(4), and one O(7) atom to form distorted YbO7 pentagonal bipyramids that share corners with two equivalent Co(2)O5 square pyramids,  a cornercorner with one Co(4)O5 trigonal bipyramid, corners with two equivalent Co(3)O5 trigonal bipyramids, edges with two equivalent Yb(3)O7 pentagonal bipyramids, and  an edgeedge with one Co(4)O5 trigonal bipyramid. In the fifth Yb site, Yb(5) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(14), one O(20), one O(6), one O(8), and one O(9) atom. In the sixth Yb site, Yb(6) is bonded in a 7-coordinate geometry to one O(10), one O(12), one O(13), one O(19), one O(2), one O(5), and one O(7) atom. In the seventh Yb site, Yb(7) is bonded in a 7-coordinate geometry to one O(11), one O(16), one O(18), one O(3), one O(6), one O(8), and one O(9) atom. In the eighth Yb site, Yb(8) is bonded in a 7-coordinate geometry to one O(10), one O(12), one O(15), one O(17), one O(4), one O(5), and one O(7) atom. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(11), one O(16), one O(18), and one O(8) atom to form distorted CoO5 trigonal bipyramids that share corners with two equivalent Yb(3)O7 pentagonal bipyramids. In the second Co site, Co(2) is bonded to one O(12), one O(15), one O(17), one O(2), and one O(7) atom to form CoO5 square pyramids that share corners with two equivalent Yb(4)O7 pentagonal bipyramids. In the third Co site, Co(3) is bonded to one O(14), one O(20), one O(3), one O(6), and one O(9) atom to form CoO5 trigonal bipyramids that share  a cornercorner with one Yb(3)O7 pentagonal bipyramid, corners with two equivalent Yb(4)O7 pentagonal bipyramids, and  an edgeedge with one Yb(3)O7 pentagonal bipyramid. In the fourth Co site, Co(4) is bonded to one O(10), one O(13), one O(19), one O(4), and one O(5) atom to form CoO5 trigonal bipyramids that share  a cornercorner with one Yb(4)O7 pentagonal bipyramid, corners with two equivalent Yb(3)O7 pentagonal bipyramids, and  an edgeedge with one Yb(4)O7 pentagonal bipyramid. There are twenty inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one Ba(4), two equivalent Ba(3), one Yb(1), one Yb(5), and one Co(1) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to two equivalent Ba(4), one Mg(1), one Yb(2), one Yb(6), and one Co(2) atom. In the third O site, O(3) is bonded to one Ba(2), two equivalent Ba(1), one Yb(3), one Yb(7), and one Co(3) atom to form distorted OBa3Yb2Co octahedra that share  a cornercorner with one O(10)Ba2Yb3Co octahedra,  a cornercorner with one O(12)Ba2Yb3Co octahedra,  a cornercorner with one O(5)Ba2Yb3Co octahedra,  a cornercorner with one O(6)Ba2Yb3Co octahedra,  a cornercorner with one O(7)Ba2Yb3Co octahedra,  a cornercorner with one O(9)Ba2Yb3Co octahedra, corners with two equivalent O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(8)BaYb3Co square pyramid, edges with two equivalent O(4)Ba3Yb2Co octahedra,  a faceface with one O(6)Ba2Yb3Co octahedra,  a faceface with one O(9)Ba2Yb3Co octahedra, and  a faceface with one O(8)BaYb3Co square pyramid. The corner-sharing octahedral tilt angles range from 11-65°. In the fourth O site, O(4) is bonded to one Ba(1), two equivalent Ba(2), one Yb(4), one Yb(8), and one Co(4) atom to form distorted OBa3Yb2Co octahedra that share  a cornercorner with one O(10)Ba2Yb3Co octahedra,  a cornercorner with one O(12)Ba2Yb3Co octahedra,  a cornercorner with one O(5)Ba2Yb3Co octahedra,  a cornercorner with one O(6)Ba2Yb3Co octahedra,  a cornercorner with one O(7)Ba2Yb3Co octahedra,  a cornercorner with one O(9)Ba2Yb3Co octahedra, corners with two equivalent O(4)Ba3Yb2Co octahedra,  a cornercorner with one O(8)BaYb3Co square pyramid, edges with two equivalent O(3)Ba3Yb2Co octahedra,  a faceface with one O(10)Ba2Yb3Co octahedra,  a faceface with one O(12)Ba2Yb3Co octahedra,  a faceface with one O(5)Ba2Yb3Co octahedra, and  a faceface with one O(7)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 8-67°. In the fifth O site, O(5) is bonded to one Ba(2), one Ba(4), one Yb(2), one Yb(6), one Yb(8), and one Co(4) atom to form distorted OBa2Yb3Co octahedra that share  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra, corners with four equivalent O(12)Ba2Yb3Co octahedra, edges with two equivalent O(7)Ba2Yb3Co octahedra,  a faceface with one O(4)Ba3Yb2Co octahedra, and faces with two equivalent O(10)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 27-76°. In the sixth O site, O(6) is bonded to one Ba(1), one Ba(3), one Yb(1), one Yb(5), one Yb(7), and one Co(3) atom to form distorted OBa2Yb3Co octahedra that share  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra,  a cornercorner with one O(8)BaYb3Co square pyramid,  an edgeedge with one O(8)BaYb3Co square pyramid,  a faceface with one O(3)Ba3Yb2Co octahedra, and faces with two equivalent O(9)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 60-66°. In the seventh O site, O(7) is bonded to one Ba(2), one Ba(4), one Yb(4), one Yb(6), one Yb(8), and one Co(2) atom to form distorted OBa2Yb3Co octahedra that share  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra, corners with four equivalent O(10)Ba2Yb3Co octahedra, edges with two equivalent O(5)Ba2Yb3Co octahedra,  a faceface with one O(4)Ba3Yb2Co octahedra, and faces with two equivalent O(12)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 27-75°. In the eighth O site, O(8) is bonded to one Ba(1), one Yb(3), one Yb(5), one Yb(7), and one Co(1) atom to form distorted OBaYb3Co square pyramids that share  a cornercorner with one O(6)Ba2Yb3Co octahedra,  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra, corners with three equivalent O(9)Ba2Yb3Co octahedra,  an edgeedge with one O(6)Ba2Yb3Co octahedra, and  a faceface with one O(3)Ba3Yb2Co octahedra. The corner-sharing octahedral tilt angles range from 23-80°. In the ninth O site, O(9) is bonded to one Ba(1), one Ba(3), one Yb(1), one Yb(5), one Yb(7), and one Co(3) atom to form distorted OBa2Yb3Co octahedra that share  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra, corners with three equivalent O(8)BaYb3Co square pyramids,  a faceface with one O(3)Ba3Yb2Co octahedra, and faces with two equivalent O(6)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 60-67°. In the tenth O site, O(10) is bonded to one Ba(2), one Ba(4), one Yb(2), one Yb(6), one Yb(8), and one Co(4) atom to form distorted OBa2Yb3Co octahedra that share  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra, corners with four equivalent O(7)Ba2Yb3Co octahedra, edges with two equivalent O(12)Ba2Yb3Co octahedra,  a faceface with one O(4)Ba3Yb2Co octahedra, and faces with two equivalent O(5)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 27-75°. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Ba(1), one Yb(3), one Yb(5), one Yb(7), and one Co(1) atom. In the twelfth O site, O(12) is bonded to one Ba(2), one Ba(4), one Yb(4), one Yb(6), one Yb(8), and one Co(2) atom to form distorted OBa2Yb3Co octahedra that share  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra, corners with four equivalent O(5)Ba2Yb3Co octahedra, edges with two equivalent O(10)Ba2Yb3Co octahedra,  a faceface with one O(4)Ba3Yb2Co octahedra, and faces with two equivalent O(7)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 27-76°. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Ba(1), one Ba(2), one Yb(3), one Yb(4), one Yb(6), and one Co(4) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Ba(2), one Yb(3), one Yb(4), one Yb(5), and one Co(3) atom. In the fifteenth O site, O(15) is bonded in a 5-coordinate geometry to one Ba(3), one Ba(4), one Yb(1), one Yb(2), one Yb(8), and one Co(2) atom. In the sixteenth O site, O(16) is bonded in a 6-coordinate geometry to one Ba(4), one Mg(1), one Yb(1), one Yb(2), one Yb(7), and one Co(1) atom. In the seventeenth O site, O(17) is bonded in a 5-coordinate geometry to one Ba(3), one Ba(4), one Yb(1), one Yb(2), one Yb(8), and one Co(2) atom. In the eighteenth O site, O(18) is bonded in a 6-coordinate geometry to one Ba(4), one Mg(1), one Yb(1), one Yb(2), one Yb(7), and one Co(1) atom. In the nineteenth O site, O(19) is bonded in a 4-coordinate geometry to one Ba(1), one Ba(2), one Yb(3), one Yb(4), one Yb(6), and one Co(4) atom. In the twentieth O site, O(20) is bonded in a 4-coordinate geometry to one Ba(2), one Yb(3), one Yb(4), one Yb(5), and one Co(3) atom.
Ba4MgYb8(CoO5)4 crystallizes in the triclinic P1 space group. There are four inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 9-coordinate geometry to one O(11), one O(13), one O(19), one O(4), one O(6), one O(8), one O(9), and two equivalent O(3) atoms. The Ba(1)-O(11) bond length is 2.84 Å. The Ba(1)-O(13) bond length is 3.04 Å. The Ba(1)-O(19) bond length is 3.06 Å. The Ba(1)-O(4) bond length is 2.68 Å. The Ba(1)-O(6) bond length is 2.92 Å. The Ba(1)-O(8) bond length is 2.79 Å. The Ba(1)-O(9) bond length is 2.90 Å. There is one shorter (2.84 Å) and one longer (2.85 Å) Ba(1)-O(3) bond length. In the second Ba site, Ba(2) is bonded in a 11-coordinate geometry to one O(10), one O(12), one O(13), one O(14), one O(19), one O(20), one O(3), one O(5), one O(7), and two equivalent O(4) atoms. The Ba(2)-O(10) bond length is 2.96 Å. The Ba(2)-O(12) bond length is 2.85 Å. The Ba(2)-O(13) bond length is 3.29 Å. The Ba(2)-O(14) bond length is 3.05 Å. The Ba(2)-O(19) bond length is 3.30 Å. The Ba(2)-O(20) bond length is 3.04 Å. The Ba(2)-O(3) bond length is 2.61 Å. The Ba(2)-O(5) bond length is 2.95 Å. The Ba(2)-O(7) bond length is 2.83 Å. Both Ba(2)-O(4) bond lengths are 2.84 Å. In the third Ba site, Ba(3) is bonded in a 7-coordinate geometry to one Mg(1), one O(15), one O(17), one O(6), one O(9), and two equivalent O(1) atoms. The Ba(3)-Mg(1) bond length is 2.78 Å. The Ba(3)-O(15) bond length is 2.70 Å. The Ba(3)-O(17) bond length is 2.71 Å. The Ba(3)-O(6) bond length is 2.56 Å. The Ba(3)-O(9) bond length is 2.55 Å. Both Ba(3)-O(1) bond lengths are 2.97 Å. In the fourth Ba site, Ba(4) is bonded in a 11-coordinate geometry to one O(1), one O(10), one O(12), one O(15), one O(16), one O(17), one O(18), one O(5), one O(7), and two equivalent O(2) atoms. The Ba(4)-O(1) bond length is 2.80 Å. The Ba(4)-O(10) bond length is 2.93 Å. The Ba(4)-O(12) bond length is 2.84 Å. The Ba(4)-O(15) bond length is 3.20 Å. The Ba(4)-O(16) bond length is 3.25 Å. The Ba(4)-O(17) bond length is 3.21 Å. The Ba(4)-O(18) bond length is 3.23 Å. The Ba(4)-O(5) bond length is 2.93 Å. The Ba(4)-O(7) bond length is 2.87 Å. There is one shorter (2.84 Å) and one longer (2.85 Å) Ba(4)-O(2) bond length. Mg(1) is bonded in a trigonal non-coplanar geometry to one Ba(3), one O(16), one O(18), and one O(2) atom. The Mg(1)-O(16) bond length is 1.88 Å. The Mg(1)-O(18) bond length is 1.88 Å. The Mg(1)-O(2) bond length is 1.87 Å. There are eight inequivalent Yb sites. In the first Yb site, Yb(1) is bonded in a 7-coordinate geometry to one O(1), one O(15), one O(16), one O(17), one O(18), one O(6), and one O(9) atom. The Yb(1)-O(1) bond length is 2.55 Å. The Yb(1)-O(15) bond length is 2.39 Å. The Yb(1)-O(16) bond length is 2.26 Å. The Yb(1)-O(17) bond length is 2.40 Å. The Yb(1)-O(18) bond length is 2.27 Å. The Yb(1)-O(6) bond length is 2.72 Å. The Yb(1)-O(9) bond length is 2.76 Å. In the second Yb site, Yb(2) is bonded in a 7-coordinate geometry to one O(10), one O(15), one O(16), one O(17), one O(18), one O(2), and one O(5) atom. The Yb(2)-O(10) bond length is 2.29 Å. The Yb(2)-O(15) bond length is 2.30 Å. The Yb(2)-O(16) bond length is 2.73 Å. The Yb(2)-O(17) bond length is 2.30 Å. The Yb(2)-O(18) bond length is 2.73 Å. The Yb(2)-O(2) bond length is 2.57 Å. The Yb(2)-O(5) bond length is 2.29 Å. In the third Yb site, Yb(3) is bonded to one O(11), one O(13), one O(14), one O(19), one O(20), one O(3), and one O(8) atom to form distorted YbO7 pentagonal bipyramids that share  a cornercorner with one Co(3)O5 trigonal bipyramid, corners with two equivalent Co(1)O5 trigonal bipyramids, corners with two equivalent Co(4)O5 trigonal bipyramids, edges with two equivalent Yb(4)O7 pentagonal bipyramids, and  an edgeedge with one Co(3)O5 trigonal bipyramid. The Yb(3)-O(11) bond length is 2.45 Å. The Yb(3)-O(13) bond length is 2.40 Å. The Yb(3)-O(14) bond length is 2.40 Å. The Yb(3)-O(19) bond length is 2.39 Å. The Yb(3)-O(20) bond length is 2.40 Å. The Yb(3)-O(3) bond length is 2.54 Å. The Yb(3)-O(8) bond length is 2.44 Å. In the fourth Yb site, Yb(4) is bonded to one O(12), one O(13), one O(14), one O(19), one O(20), one O(4), and one O(7) atom to form distorted YbO7 pentagonal bipyramids that share corners with two equivalent Co(2)O5 square pyramids,  a cornercorner with one Co(4)O5 trigonal bipyramid, corners with two equivalent Co(3)O5 trigonal bipyramids, edges with two equivalent Yb(3)O7 pentagonal bipyramids, and  an edgeedge with one Co(4)O5 trigonal bipyramid. The Yb(4)-O(12) bond length is 2.46 Å. The Yb(4)-O(13) bond length is 2.42 Å. The Yb(4)-O(14) bond length is 2.36 Å. The Yb(4)-O(19) bond length is 2.40 Å. The Yb(4)-O(20) bond length is 2.37 Å. The Yb(4)-O(4) bond length is 2.53 Å. The Yb(4)-O(7) bond length is 2.46 Å. In the fifth Yb site, Yb(5) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(14), one O(20), one O(6), one O(8), and one O(9) atom. The Yb(5)-O(1) bond length is 2.56 Å. The Yb(5)-O(11) bond length is 2.40 Å. The Yb(5)-O(14) bond length is 2.34 Å. The Yb(5)-O(20) bond length is 2.34 Å. The Yb(5)-O(6) bond length is 2.36 Å. The Yb(5)-O(8) bond length is 2.40 Å. The Yb(5)-O(9) bond length is 2.36 Å. In the sixth Yb site, Yb(6) is bonded in a 7-coordinate geometry to one O(10), one O(12), one O(13), one O(19), one O(2), one O(5), and one O(7) atom. The Yb(6)-O(10) bond length is 2.38 Å. The Yb(6)-O(12) bond length is 2.37 Å. The Yb(6)-O(13) bond length is 2.33 Å. The Yb(6)-O(19) bond length is 2.33 Å. The Yb(6)-O(2) bond length is 2.50 Å. The Yb(6)-O(5) bond length is 2.38 Å. The Yb(6)-O(7) bond length is 2.36 Å. In the seventh Yb site, Yb(7) is bonded in a 7-coordinate geometry to one O(11), one O(16), one O(18), one O(3), one O(6), one O(8), and one O(9) atom. The Yb(7)-O(11) bond length is 2.30 Å. The Yb(7)-O(16) bond length is 2.45 Å. The Yb(7)-O(18) bond length is 2.43 Å. The Yb(7)-O(3) bond length is 2.31 Å. The Yb(7)-O(6) bond length is 2.37 Å. The Yb(7)-O(8) bond length is 2.31 Å. The Yb(7)-O(9) bond length is 2.37 Å. In the eighth Yb site, Yb(8) is bonded in a 7-coordinate geometry to one O(10), one O(12), one O(15), one O(17), one O(4), one O(5), and one O(7) atom. The Yb(8)-O(10) bond length is 2.40 Å. The Yb(8)-O(12) bond length is 2.36 Å. The Yb(8)-O(15) bond length is 2.30 Å. The Yb(8)-O(17) bond length is 2.30 Å. The Yb(8)-O(4) bond length is 2.40 Å. The Yb(8)-O(5) bond length is 2.40 Å. The Yb(8)-O(7) bond length is 2.35 Å. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(11), one O(16), one O(18), and one O(8) atom to form distorted CoO5 trigonal bipyramids that share corners with two equivalent Yb(3)O7 pentagonal bipyramids. The Co(1)-O(1) bond length is 1.82 Å. The Co(1)-O(11) bond length is 1.99 Å. The Co(1)-O(16) bond length is 2.11 Å. The Co(1)-O(18) bond length is 2.13 Å. The Co(1)-O(8) bond length is 1.98 Å. In the second Co site, Co(2) is bonded to one O(12), one O(15), one O(17), one O(2), and one O(7) atom to form CoO5 square pyramids that share corners with two equivalent Yb(4)O7 pentagonal bipyramids. The Co(2)-O(12) bond length is 1.92 Å. The Co(2)-O(15) bond length is 1.95 Å. The Co(2)-O(17) bond length is 1.94 Å. The Co(2)-O(2) bond length is 2.08 Å. The Co(2)-O(7) bond length is 1.91 Å. In the third Co site, Co(3) is bonded to one O(14), one O(20), one O(3), one O(6), and one O(9) atom to form CoO5 trigonal bipyramids that share  a cornercorner with one Yb(3)O7 pentagonal bipyramid, corners with two equivalent Yb(4)O7 pentagonal bipyramids, and  an edgeedge with one Yb(3)O7 pentagonal bipyramid. The Co(3)-O(14) bond length is 1.87 Å. The Co(3)-O(20) bond length is 1.87 Å. The Co(3)-O(3) bond length is 1.87 Å. The Co(3)-O(6) bond length is 1.93 Å. The Co(3)-O(9) bond length is 1.92 Å. In the fourth Co site, Co(4) is bonded to one O(10), one O(13), one O(19), one O(4), and one O(5) atom to form CoO5 trigonal bipyramids that share  a cornercorner with one Yb(4)O7 pentagonal bipyramid, corners with two equivalent Yb(3)O7 pentagonal bipyramids, and  an edgeedge with one Yb(4)O7 pentagonal bipyramid. The Co(4)-O(10) bond length is 1.91 Å. The Co(4)-O(13) bond length is 1.88 Å. The Co(4)-O(19) bond length is 1.88 Å. The Co(4)-O(4) bond length is 1.86 Å. The Co(4)-O(5) bond length is 1.92 Å. There are twenty inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one Ba(4), two equivalent Ba(3), one Yb(1), one Yb(5), and one Co(1) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to two equivalent Ba(4), one Mg(1), one Yb(2), one Yb(6), and one Co(2) atom. In the third O site, O(3) is bonded to one Ba(2), two equivalent Ba(1), one Yb(3), one Yb(7), and one Co(3) atom to form distorted OBa3Yb2Co octahedra that share  a cornercorner with one O(10)Ba2Yb3Co octahedra,  a cornercorner with one O(12)Ba2Yb3Co octahedra,  a cornercorner with one O(5)Ba2Yb3Co octahedra,  a cornercorner with one O(6)Ba2Yb3Co octahedra,  a cornercorner with one O(7)Ba2Yb3Co octahedra,  a cornercorner with one O(9)Ba2Yb3Co octahedra, corners with two equivalent O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(8)BaYb3Co square pyramid, edges with two equivalent O(4)Ba3Yb2Co octahedra,  a faceface with one O(6)Ba2Yb3Co octahedra,  a faceface with one O(9)Ba2Yb3Co octahedra, and  a faceface with one O(8)BaYb3Co square pyramid. The corner-sharing octahedral tilt angles range from 11-65°. In the fourth O site, O(4) is bonded to one Ba(1), two equivalent Ba(2), one Yb(4), one Yb(8), and one Co(4) atom to form distorted OBa3Yb2Co octahedra that share  a cornercorner with one O(10)Ba2Yb3Co octahedra,  a cornercorner with one O(12)Ba2Yb3Co octahedra,  a cornercorner with one O(5)Ba2Yb3Co octahedra,  a cornercorner with one O(6)Ba2Yb3Co octahedra,  a cornercorner with one O(7)Ba2Yb3Co octahedra,  a cornercorner with one O(9)Ba2Yb3Co octahedra, corners with two equivalent O(4)Ba3Yb2Co octahedra,  a cornercorner with one O(8)BaYb3Co square pyramid, edges with two equivalent O(3)Ba3Yb2Co octahedra,  a faceface with one O(10)Ba2Yb3Co octahedra,  a faceface with one O(12)Ba2Yb3Co octahedra,  a faceface with one O(5)Ba2Yb3Co octahedra, and  a faceface with one O(7)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 8-67°. In the fifth O site, O(5) is bonded to one Ba(2), one Ba(4), one Yb(2), one Yb(6), one Yb(8), and one Co(4) atom to form distorted OBa2Yb3Co octahedra that share  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra, corners with four equivalent O(12)Ba2Yb3Co octahedra, edges with two equivalent O(7)Ba2Yb3Co octahedra,  a faceface with one O(4)Ba3Yb2Co octahedra, and faces with two equivalent O(10)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 27-76°. In the sixth O site, O(6) is bonded to one Ba(1), one Ba(3), one Yb(1), one Yb(5), one Yb(7), and one Co(3) atom to form distorted OBa2Yb3Co octahedra that share  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra,  a cornercorner with one O(8)BaYb3Co square pyramid,  an edgeedge with one O(8)BaYb3Co square pyramid,  a faceface with one O(3)Ba3Yb2Co octahedra, and faces with two equivalent O(9)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 60-66°. In the seventh O site, O(7) is bonded to one Ba(2), one Ba(4), one Yb(4), one Yb(6), one Yb(8), and one Co(2) atom to form distorted OBa2Yb3Co octahedra that share  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra, corners with four equivalent O(10)Ba2Yb3Co octahedra, edges with two equivalent O(5)Ba2Yb3Co octahedra,  a faceface with one O(4)Ba3Yb2Co octahedra, and faces with two equivalent O(12)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 27-75°. In the eighth O site, O(8) is bonded to one Ba(1), one Yb(3), one Yb(5), one Yb(7), and one Co(1) atom to form distorted OBaYb3Co square pyramids that share  a cornercorner with one O(6)Ba2Yb3Co octahedra,  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra, corners with three equivalent O(9)Ba2Yb3Co octahedra,  an edgeedge with one O(6)Ba2Yb3Co octahedra, and  a faceface with one O(3)Ba3Yb2Co octahedra. The corner-sharing octahedral tilt angles range from 23-80°. In the ninth O site, O(9) is bonded to one Ba(1), one Ba(3), one Yb(1), one Yb(5), one Yb(7), and one Co(3) atom to form distorted OBa2Yb3Co octahedra that share  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra, corners with three equivalent O(8)BaYb3Co square pyramids,  a faceface with one O(3)Ba3Yb2Co octahedra, and faces with two equivalent O(6)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 60-67°. In the tenth O site, O(10) is bonded to one Ba(2), one Ba(4), one Yb(2), one Yb(6), one Yb(8), and one Co(4) atom to form distorted OBa2Yb3Co octahedra that share  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra, corners with four equivalent O(7)Ba2Yb3Co octahedra, edges with two equivalent O(12)Ba2Yb3Co octahedra,  a faceface with one O(4)Ba3Yb2Co octahedra, and faces with two equivalent O(5)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 27-75°. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Ba(1), one Yb(3), one Yb(5), one Yb(7), and one Co(1) atom. In the twelfth O site, O(12) is bonded to one Ba(2), one Ba(4), one Yb(4), one Yb(6), one Yb(8), and one Co(2) atom to form distorted OBa2Yb3Co octahedra that share  a cornercorner with one O(3)Ba3Yb2Co octahedra,  a cornercorner with one O(4)Ba3Yb2Co octahedra, corners with four equivalent O(5)Ba2Yb3Co octahedra, edges with two equivalent O(10)Ba2Yb3Co octahedra,  a faceface with one O(4)Ba3Yb2Co octahedra, and faces with two equivalent O(7)Ba2Yb3Co octahedra. The corner-sharing octahedral tilt angles range from 27-76°. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Ba(1), one Ba(2), one Yb(3), one Yb(4), one Yb(6), and one Co(4) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Ba(2), one Yb(3), one Yb(4), one Yb(5), and one Co(3) atom. In the fifteenth O site, O(15) is bonded in a 5-coordinate geometry to one Ba(3), one Ba(4), one Yb(1), one Yb(2), one Yb(8), and one Co(2) atom. In the sixteenth O site, O(16) is bonded in a 6-coordinate geometry to one Ba(4), one Mg(1), one Yb(1), one Yb(2), one Yb(7), and one Co(1) atom. In the seventeenth O site, O(17) is bonded in a 5-coordinate geometry to one Ba(3), one Ba(4), one Yb(1), one Yb(2), one Yb(8), and one Co(2) atom. In the eighteenth O site, O(18) is bonded in a 6-coordinate geometry to one Ba(4), one Mg(1), one Yb(1), one Yb(2), one Yb(7), and one Co(1) atom. In the nineteenth O site, O(19) is bonded in a 4-coordinate geometry to one Ba(1), one Ba(2), one Yb(3), one Yb(4), one Yb(6), and one Co(4) atom. In the twentieth O site, O(20) is bonded in a 4-coordinate geometry to one Ba(2), one Yb(3), one Yb(4), one Yb(5), and one Co(3) atom.