BaLa4Mn5O15 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic C2/m space group. Ba(1) is bonded to two equivalent O(5), two equivalent O(6), four equivalent O(2), and four equivalent O(3) atoms to form BaO12 cuboctahedra that share corners with two equivalent Ba(1)O12 cuboctahedra, corners with four equivalent La(1)O12 cuboctahedra, corners with six equivalent La(2)O12 cuboctahedra, faces with two equivalent La(2)O12 cuboctahedra, faces with four equivalent La(1)O12 cuboctahedra, faces with two equivalent Mn(1)O6 octahedra, faces with two equivalent Mn(3)O6 octahedra, and faces with four equivalent Mn(2)O6 octahedra. There are two inequivalent La sites. In the first La site, La(1) is bonded to one O(4), one O(6), two equivalent O(1), two equivalent O(2), two equivalent O(5), and four equivalent O(3) atoms to form LaO12 cuboctahedra that share corners with two equivalent Ba(1)O12 cuboctahedra, corners with five equivalent La(1)O12 cuboctahedra, corners with five equivalent La(2)O12 cuboctahedra,  a faceface with one La(1)O12 cuboctahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with three equivalent La(2)O12 cuboctahedra, faces with two equivalent Mn(3)O6 octahedra, faces with three equivalent Mn(1)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. In the second La site, La(2) is bonded to one O(5), two equivalent O(1), two equivalent O(3), three equivalent O(4), and four equivalent O(2) atoms to form LaO12 cuboctahedra that share corners with three equivalent Ba(1)O12 cuboctahedra, corners with four equivalent La(2)O12 cuboctahedra, corners with five equivalent La(1)O12 cuboctahedra,  a faceface with one Ba(1)O12 cuboctahedra, faces with two equivalent La(2)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra,  a faceface with one Mn(3)O6 octahedra, faces with three equivalent Mn(2)O6 octahedra, and faces with four equivalent Mn(1)O6 octahedra. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(4), one O(5), two equivalent O(1), and two equivalent O(2) atoms to form MnO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra, and faces with four equivalent La(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the second Mn site, Mn(2) is bonded to one O(4), one O(6), two equivalent O(2), and two equivalent O(3) atoms to form MnO6 octahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra, and faces with three equivalent La(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the third Mn site, Mn(3) is bonded to two equivalent O(5) and four equivalent O(3) atoms to form MnO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with two equivalent La(2)O12 cuboctahedra, and faces with four equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 4-6°. There are six inequivalent O sites. In the first O site, O(6) is bonded in a distorted linear geometry to two equivalent Ba(1), two equivalent La(1), and two equivalent Mn(2) atoms. In the second O site, O(1) is bonded in a distorted linear geometry to two equivalent La(1), two equivalent La(2), and two equivalent Mn(1) atoms. In the third O site, O(2) is bonded in a 2-coordinate geometry to one Ba(1), one La(1), two equivalent La(2), one Mn(1), and one Mn(2) atom. In the fourth O site, O(3) is bonded to one Ba(1), one La(2), two equivalent La(1), one Mn(2), and one Mn(3) atom to form a mixture of distorted edge, corner, and face-sharing OBaLa3Mn2 octahedra. The corner-sharing octahedral tilt angles range from 0-60°. In the fifth O site, O(4) is bonded in a 2-coordinate geometry to one La(1), three equivalent La(2), one Mn(1), and one Mn(2) atom. In the sixth O site, O(5) is bonded in a distorted linear geometry to one Ba(1), one La(2), two equivalent La(1), one Mn(1), and one Mn(3) atom.
BaLa4Mn5O15 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic C2/m space group. Ba(1) is bonded to two equivalent O(5), two equivalent O(6), four equivalent O(2), and four equivalent O(3) atoms to form BaO12 cuboctahedra that share corners with two equivalent Ba(1)O12 cuboctahedra, corners with four equivalent La(1)O12 cuboctahedra, corners with six equivalent La(2)O12 cuboctahedra, faces with two equivalent La(2)O12 cuboctahedra, faces with four equivalent La(1)O12 cuboctahedra, faces with two equivalent Mn(1)O6 octahedra, faces with two equivalent Mn(3)O6 octahedra, and faces with four equivalent Mn(2)O6 octahedra. Both Ba(1)-O(5) bond lengths are 2.87 Å. Both Ba(1)-O(6) bond lengths are 2.80 Å. All Ba(1)-O(2) bond lengths are 2.95 Å. All Ba(1)-O(3) bond lengths are 2.90 Å. There are two inequivalent La sites. In the first La site, La(1) is bonded to one O(4), one O(6), two equivalent O(1), two equivalent O(2), two equivalent O(5), and four equivalent O(3) atoms to form LaO12 cuboctahedra that share corners with two equivalent Ba(1)O12 cuboctahedra, corners with five equivalent La(1)O12 cuboctahedra, corners with five equivalent La(2)O12 cuboctahedra,  a faceface with one La(1)O12 cuboctahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with three equivalent La(2)O12 cuboctahedra, faces with two equivalent Mn(3)O6 octahedra, faces with three equivalent Mn(1)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. The La(1)-O(4) bond length is 2.59 Å. The La(1)-O(6) bond length is 2.88 Å. Both La(1)-O(1) bond lengths are 2.81 Å. Both La(1)-O(2) bond lengths are 2.98 Å. Both La(1)-O(5) bond lengths are 2.80 Å. There are two shorter (2.61 Å) and two longer (2.78 Å) La(1)-O(3) bond lengths. In the second La site, La(2) is bonded to one O(5), two equivalent O(1), two equivalent O(3), three equivalent O(4), and four equivalent O(2) atoms to form LaO12 cuboctahedra that share corners with three equivalent Ba(1)O12 cuboctahedra, corners with four equivalent La(2)O12 cuboctahedra, corners with five equivalent La(1)O12 cuboctahedra,  a faceface with one Ba(1)O12 cuboctahedra, faces with two equivalent La(2)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra,  a faceface with one Mn(3)O6 octahedra, faces with three equivalent Mn(2)O6 octahedra, and faces with four equivalent Mn(1)O6 octahedra. The La(2)-O(5) bond length is 2.73 Å. Both La(2)-O(1) bond lengths are 2.76 Å. Both La(2)-O(3) bond lengths are 2.84 Å. There are two shorter (2.80 Å) and one longer (2.92 Å) La(2)-O(4) bond length. There are two shorter (2.61 Å) and two longer (2.75 Å) La(2)-O(2) bond lengths. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(4), one O(5), two equivalent O(1), and two equivalent O(2) atoms to form MnO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra, and faces with four equivalent La(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-9°. The Mn(1)-O(4) bond length is 1.95 Å. The Mn(1)-O(5) bond length is 1.96 Å. Both Mn(1)-O(1) bond lengths are 1.98 Å. Both Mn(1)-O(2) bond lengths are 1.98 Å. In the second Mn site, Mn(2) is bonded to one O(4), one O(6), two equivalent O(2), and two equivalent O(3) atoms to form MnO6 octahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra, and faces with three equivalent La(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-9°. The Mn(2)-O(4) bond length is 1.99 Å. The Mn(2)-O(6) bond length is 1.98 Å. Both Mn(2)-O(2) bond lengths are 1.99 Å. Both Mn(2)-O(3) bond lengths are 1.99 Å. In the third Mn site, Mn(3) is bonded to two equivalent O(5) and four equivalent O(3) atoms to form MnO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with two equivalent La(2)O12 cuboctahedra, and faces with four equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 4-6°. Both Mn(3)-O(5) bond lengths are 2.02 Å. All Mn(3)-O(3) bond lengths are 1.97 Å. There are six inequivalent O sites. In the first O site, O(6) is bonded in a distorted linear geometry to two equivalent Ba(1), two equivalent La(1), and two equivalent Mn(2) atoms. In the second O site, O(1) is bonded in a distorted linear geometry to two equivalent La(1), two equivalent La(2), and two equivalent Mn(1) atoms. In the third O site, O(2) is bonded in a 2-coordinate geometry to one Ba(1), one La(1), two equivalent La(2), one Mn(1), and one Mn(2) atom. In the fourth O site, O(3) is bonded to one Ba(1), one La(2), two equivalent La(1), one Mn(2), and one Mn(3) atom to form a mixture of distorted edge, corner, and face-sharing OBaLa3Mn2 octahedra. The corner-sharing octahedral tilt angles range from 0-60°. In the fifth O site, O(4) is bonded in a 2-coordinate geometry to one La(1), three equivalent La(2), one Mn(1), and one Mn(2) atom. In the sixth O site, O(5) is bonded in a distorted linear geometry to one Ba(1), one La(2), two equivalent La(1), one Mn(1), and one Mn(3) atom.