Ba3La2Ti3Cr2O15 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Cmmm space group. There are two inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to two equivalent O(1), two equivalent O(4), and eight equivalent O(5) atoms to form BaO12 cuboctahedra that share corners with two equivalent Ba(1)O12 cuboctahedra, corners with two equivalent La(1)O12 cuboctahedra, corners with eight equivalent Ba(2)O12 cuboctahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Ba(2)O12 cuboctahedra, faces with four equivalent Ti(1)O6 octahedra, and faces with four equivalent Ti(2)O6 octahedra. In the second Ba site, Ba(2) is bonded to one O(1), one O(2), two equivalent O(4), four equivalent O(5), and four equivalent O(6) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with four equivalent Ba(1)O12 cuboctahedra, corners with five equivalent La(1)O12 cuboctahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with two equivalent Ba(2)O12 cuboctahedra, faces with two equivalent La(1)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, faces with two equivalent Cr(1)O6 octahedra, and faces with four equivalent Ti(2)O6 octahedra. La(1) is bonded to one O(4), three equivalent O(2), four equivalent O(3), and four equivalent O(6) atoms to form LaO12 cuboctahedra that share  a cornercorner with one Ba(1)O12 cuboctahedra, corners with five equivalent Ba(2)O12 cuboctahedra, corners with six equivalent La(1)O12 cuboctahedra, faces with two equivalent Ba(2)O12 cuboctahedra, faces with four equivalent La(1)O12 cuboctahedra, faces with two equivalent Ti(2)O6 octahedra, and faces with six equivalent Cr(1)O6 octahedra. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent O(1) and four equivalent O(5) atoms to form TiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra, faces with four equivalent Ba(1)O12 cuboctahedra, and faces with four equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the second Ti site, Ti(2) is bonded to two equivalent O(4), two equivalent O(5), and two equivalent O(6) atoms to form TiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with two equivalent La(1)O12 cuboctahedra, and faces with four equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-5°. Cr(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, faces with two equivalent Ba(2)O12 cuboctahedra, and faces with six equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-8°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to two equivalent Ba(1), two equivalent Ba(2), and two equivalent Ti(1) atoms. In the second O site, O(2) is bonded to one Ba(2), three equivalent La(1), and two equivalent Cr(1) atoms to form distorted OBaLa3Cr2 octahedra that share corners with four equivalent O(5)Ba4Ti2 octahedra, corners with four equivalent O(2)BaLa3Cr2 octahedra, and edges with two equivalent O(2)BaLa3Cr2 octahedra. The corner-sharing octahedral tilt angles range from 3-60°. In the third O site, O(3) is bonded in a distorted linear geometry to four equivalent La(1) and two equivalent Cr(1) atoms. In the fourth O site, O(4) is bonded in a distorted linear geometry to one Ba(1), two equivalent Ba(2), one La(1), and two equivalent Ti(2) atoms. In the fifth O site, O(5) is bonded to two equivalent Ba(1), two equivalent Ba(2), one Ti(1), and one Ti(2) atom to form distorted OBa4Ti2 octahedra that share corners with two equivalent O(2)BaLa3Cr2 octahedra, corners with nine equivalent O(5)Ba4Ti2 octahedra, edges with three equivalent O(5)Ba4Ti2 octahedra, and faces with three equivalent O(5)Ba4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the sixth O site, O(6) is bonded in a distorted linear geometry to two equivalent Ba(2), two equivalent La(1), one Ti(2), and one Cr(1) atom.
Ba3La2Ti3Cr2O15 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Cmmm space group. There are two inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to two equivalent O(1), two equivalent O(4), and eight equivalent O(5) atoms to form BaO12 cuboctahedra that share corners with two equivalent Ba(1)O12 cuboctahedra, corners with two equivalent La(1)O12 cuboctahedra, corners with eight equivalent Ba(2)O12 cuboctahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Ba(2)O12 cuboctahedra, faces with four equivalent Ti(1)O6 octahedra, and faces with four equivalent Ti(2)O6 octahedra. Both Ba(1)-O(1) bond lengths are 2.84 Å. Both Ba(1)-O(4) bond lengths are 2.92 Å. All Ba(1)-O(5) bond lengths are 2.84 Å. In the second Ba site, Ba(2) is bonded to one O(1), one O(2), two equivalent O(4), four equivalent O(5), and four equivalent O(6) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with four equivalent Ba(1)O12 cuboctahedra, corners with five equivalent La(1)O12 cuboctahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with two equivalent Ba(2)O12 cuboctahedra, faces with two equivalent La(1)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, faces with two equivalent Cr(1)O6 octahedra, and faces with four equivalent Ti(2)O6 octahedra. The Ba(2)-O(1) bond length is 2.86 Å. The Ba(2)-O(2) bond length is 2.92 Å. Both Ba(2)-O(4) bond lengths are 2.84 Å. All Ba(2)-O(5) bond lengths are 2.83 Å. All Ba(2)-O(6) bond lengths are 2.88 Å. La(1) is bonded to one O(4), three equivalent O(2), four equivalent O(3), and four equivalent O(6) atoms to form LaO12 cuboctahedra that share  a cornercorner with one Ba(1)O12 cuboctahedra, corners with five equivalent Ba(2)O12 cuboctahedra, corners with six equivalent La(1)O12 cuboctahedra, faces with two equivalent Ba(2)O12 cuboctahedra, faces with four equivalent La(1)O12 cuboctahedra, faces with two equivalent Ti(2)O6 octahedra, and faces with six equivalent Cr(1)O6 octahedra. The La(1)-O(4) bond length is 2.78 Å. There is one shorter (2.56 Å) and two longer (2.84 Å) La(1)-O(2) bond lengths. All La(1)-O(3) bond lengths are 2.78 Å. All La(1)-O(6) bond lengths are 2.78 Å. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent O(1) and four equivalent O(5) atoms to form TiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra, faces with four equivalent Ba(1)O12 cuboctahedra, and faces with four equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedra are not tilted. Both Ti(1)-O(1) bond lengths are 2.00 Å. All Ti(1)-O(5) bond lengths are 2.01 Å. In the second Ti site, Ti(2) is bonded to two equivalent O(4), two equivalent O(5), and two equivalent O(6) atoms to form TiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with two equivalent La(1)O12 cuboctahedra, and faces with four equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-5°. Both Ti(2)-O(4) bond lengths are 2.00 Å. Both Ti(2)-O(5) bond lengths are 2.03 Å. Both Ti(2)-O(6) bond lengths are 1.95 Å. Cr(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, faces with two equivalent Ba(2)O12 cuboctahedra, and faces with six equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-8°. Both Cr(1)-O(2) bond lengths are 2.00 Å. Both Cr(1)-O(3) bond lengths are 1.98 Å. Both Cr(1)-O(6) bond lengths are 2.02 Å. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to two equivalent Ba(1), two equivalent Ba(2), and two equivalent Ti(1) atoms. In the second O site, O(2) is bonded to one Ba(2), three equivalent La(1), and two equivalent Cr(1) atoms to form distorted OBaLa3Cr2 octahedra that share corners with four equivalent O(5)Ba4Ti2 octahedra, corners with four equivalent O(2)BaLa3Cr2 octahedra, and edges with two equivalent O(2)BaLa3Cr2 octahedra. The corner-sharing octahedral tilt angles range from 3-60°. In the third O site, O(3) is bonded in a distorted linear geometry to four equivalent La(1) and two equivalent Cr(1) atoms. In the fourth O site, O(4) is bonded in a distorted linear geometry to one Ba(1), two equivalent Ba(2), one La(1), and two equivalent Ti(2) atoms. In the fifth O site, O(5) is bonded to two equivalent Ba(1), two equivalent Ba(2), one Ti(1), and one Ti(2) atom to form distorted OBa4Ti2 octahedra that share corners with two equivalent O(2)BaLa3Cr2 octahedra, corners with nine equivalent O(5)Ba4Ti2 octahedra, edges with three equivalent O(5)Ba4Ti2 octahedra, and faces with three equivalent O(5)Ba4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the sixth O site, O(6) is bonded in a distorted linear geometry to two equivalent Ba(2), two equivalent La(1), one Ti(2), and one Cr(1) atom.