LaCo10Ga3 crystallizes in the orthorhombic Fmm2 space group. La(1) is bonded in a 24-coordinate geometry to two equivalent Co(5), two equivalent Co(6), two equivalent Co(7), two equivalent Co(8), two equivalent Co(9), four equivalent Co(1), four equivalent Co(2), two equivalent Ga(1), two equivalent Ga(2), and two equivalent Ga(3) atoms. There are nine inequivalent Co sites. In the first Co site, Co(1) is bonded in a 12-coordinate geometry to two equivalent La(1), one Co(1), one Co(3), one Co(6), one Co(8), one Co(9), two equivalent Co(2), one Ga(1), one Ga(2), and one Ga(3) atom. In the second Co site, Co(2) is bonded to two equivalent La(1), one Co(2), one Co(4), one Co(5), one Co(7), one Co(9), two equivalent Co(1), one Ga(1), one Ga(2), and one Ga(3) atom to form distorted CoLa2Ga3Co7 cuboctahedra that share  a cornercorner with one Co(3)Ga2Co10 cuboctahedra,  a cornercorner with one Co(9)La2GaCo9 cuboctahedra, corners with three equivalent Co(6)La2Ga2Co8 cuboctahedra, corners with five equivalent Co(2)La2Ga3Co7 cuboctahedra, edges with two equivalent Co(9)La2GaCo9 cuboctahedra,  a faceface with one Co(3)Ga2Co10 cuboctahedra,  a faceface with one Co(4)Ga4Co8 cuboctahedra,  a faceface with one Co(9)La2GaCo9 cuboctahedra, faces with three equivalent Co(6)La2Ga2Co8 cuboctahedra, and faces with three equivalent Co(2)La2Ga3Co7 cuboctahedra. In the third Co site, Co(3) is bonded to two equivalent Co(6), two equivalent Co(8), two equivalent Co(9), four equivalent Co(1), and two equivalent Ga(2) atoms to form CoGa2Co10 cuboctahedra that share corners with four equivalent Co(2)La2Ga3Co7 cuboctahedra, faces with two equivalent Co(6)La2Ga2Co8 cuboctahedra, faces with two equivalent Co(9)La2GaCo9 cuboctahedra, and faces with four equivalent Co(2)La2Ga3Co7 cuboctahedra. In the fourth Co site, Co(4) is bonded to two equivalent Co(5), two equivalent Co(7), four equivalent Co(2), two equivalent Ga(1), and two equivalent Ga(3) atoms to form CoGa4Co8 cuboctahedra that share corners with two equivalent Co(6)La2Ga2Co8 cuboctahedra, corners with two equivalent Co(9)La2GaCo9 cuboctahedra, faces with two equivalent Co(6)La2Ga2Co8 cuboctahedra, faces with two equivalent Co(9)La2GaCo9 cuboctahedra, and faces with four equivalent Co(2)La2Ga3Co7 cuboctahedra. In the fifth Co site, Co(5) is bonded in a 12-coordinate geometry to two equivalent La(1), one Co(4), one Co(5), one Co(9), two equivalent Co(2), two equivalent Co(8), one Ga(2), and two equivalent Ga(1) atoms. In the sixth Co site, Co(6) is bonded to two equivalent La(1), one Co(3), one Co(6), two equivalent Co(1), two equivalent Co(7), two equivalent Co(9), one Ga(1), and one Ga(3) atom to form distorted CoLa2Ga2Co8 cuboctahedra that share  a cornercorner with one Co(4)Ga4Co8 cuboctahedra, corners with two equivalent Co(6)La2Ga2Co8 cuboctahedra, corners with two equivalent Co(9)La2GaCo9 cuboctahedra, corners with six equivalent Co(2)La2Ga3Co7 cuboctahedra,  a faceface with one Co(3)Ga2Co10 cuboctahedra,  a faceface with one Co(4)Ga4Co8 cuboctahedra,  a faceface with one Co(6)La2Ga2Co8 cuboctahedra, faces with two equivalent Co(9)La2GaCo9 cuboctahedra, and faces with six equivalent Co(2)La2Ga3Co7 cuboctahedra. In the seventh Co site, Co(7) is bonded in a 12-coordinate geometry to two equivalent La(1), one Co(4), one Co(7), one Co(9), two equivalent Co(2), two equivalent Co(6), one Ga(2), and two equivalent Ga(3) atoms. In the eighth Co site, Co(8) is bonded in a 12-coordinate geometry to two equivalent La(1), one Co(3), one Co(8), two equivalent Co(1), two equivalent Co(5), one Ga(1), one Ga(3), and two equivalent Ga(2) atoms. In the ninth Co site, Co(9) is bonded to two equivalent La(1), one Co(3), one Co(5), one Co(7), two equivalent Co(1), two equivalent Co(2), two equivalent Co(6), and one Ga(2) atom to form distorted CoLa2GaCo9 cuboctahedra that share  a cornercorner with one Co(4)Ga4Co8 cuboctahedra, corners with two equivalent Co(6)La2Ga2Co8 cuboctahedra, corners with two equivalent Co(2)La2Ga3Co7 cuboctahedra, corners with two equivalent Co(9)La2GaCo9 cuboctahedra, edges with four equivalent Co(2)La2Ga3Co7 cuboctahedra,  a faceface with one Co(3)Ga2Co10 cuboctahedra,  a faceface with one Co(4)Ga4Co8 cuboctahedra,  a faceface with one Co(9)La2GaCo9 cuboctahedra, faces with two equivalent Co(6)La2Ga2Co8 cuboctahedra, and faces with two equivalent Co(2)La2Ga3Co7 cuboctahedra. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 11-coordinate geometry to two equivalent La(1), one Co(4), one Co(6), one Co(8), two equivalent Co(1), two equivalent Co(2), and two equivalent Co(5) atoms. In the second Ga site, Ga(2) is bonded in a 12-coordinate geometry to two equivalent La(1), one Co(3), one Co(5), one Co(7), one Co(9), two equivalent Co(1), two equivalent Co(2), and two equivalent Co(8) atoms. In the third Ga site, Ga(3) is bonded in a 11-coordinate geometry to two equivalent La(1), one Co(4), one Co(6), one Co(8), two equivalent Co(1), two equivalent Co(2), and two equivalent Co(7) atoms.
LaCo10Ga3 crystallizes in the orthorhombic Fmm2 space group. La(1) is bonded in a 24-coordinate geometry to two equivalent Co(5), two equivalent Co(6), two equivalent Co(7), two equivalent Co(8), two equivalent Co(9), four equivalent Co(1), four equivalent Co(2), two equivalent Ga(1), two equivalent Ga(2), and two equivalent Ga(3) atoms. Both La(1)-Co(5) bond lengths are 3.28 Å. Both La(1)-Co(6) bond lengths are 3.36 Å. Both La(1)-Co(7) bond lengths are 3.29 Å. Both La(1)-Co(8) bond lengths are 3.35 Å. Both La(1)-Co(9) bond lengths are 3.31 Å. There are two shorter (3.32 Å) and two longer (3.41 Å) La(1)-Co(1) bond lengths. There are two shorter (3.34 Å) and two longer (3.38 Å) La(1)-Co(2) bond lengths. Both La(1)-Ga(1) bond lengths are 3.29 Å. Both La(1)-Ga(2) bond lengths are 3.31 Å. Both La(1)-Ga(3) bond lengths are 3.31 Å. There are nine inequivalent Co sites. In the first Co site, Co(1) is bonded in a 12-coordinate geometry to two equivalent La(1), one Co(1), one Co(3), one Co(6), one Co(8), one Co(9), two equivalent Co(2), one Ga(1), one Ga(2), and one Ga(3) atom. The Co(1)-Co(1) bond length is 2.71 Å. The Co(1)-Co(3) bond length is 2.45 Å. The Co(1)-Co(6) bond length is 2.54 Å. The Co(1)-Co(8) bond length is 2.59 Å. The Co(1)-Co(9) bond length is 2.53 Å. Both Co(1)-Co(2) bond lengths are 2.37 Å. The Co(1)-Ga(1) bond length is 2.53 Å. The Co(1)-Ga(2) bond length is 2.59 Å. The Co(1)-Ga(3) bond length is 2.55 Å. In the second Co site, Co(2) is bonded to two equivalent La(1), one Co(2), one Co(4), one Co(5), one Co(7), one Co(9), two equivalent Co(1), one Ga(1), one Ga(2), and one Ga(3) atom to form distorted CoLa2Ga3Co7 cuboctahedra that share  a cornercorner with one Co(3)Ga2Co10 cuboctahedra,  a cornercorner with one Co(9)La2GaCo9 cuboctahedra, corners with three equivalent Co(6)La2Ga2Co8 cuboctahedra, corners with five equivalent Co(2)La2Ga3Co7 cuboctahedra, edges with two equivalent Co(9)La2GaCo9 cuboctahedra,  a faceface with one Co(3)Ga2Co10 cuboctahedra,  a faceface with one Co(4)Ga4Co8 cuboctahedra,  a faceface with one Co(9)La2GaCo9 cuboctahedra, faces with three equivalent Co(6)La2Ga2Co8 cuboctahedra, and faces with three equivalent Co(2)La2Ga3Co7 cuboctahedra. The Co(2)-Co(2) bond length is 2.66 Å. The Co(2)-Co(4) bond length is 2.46 Å. The Co(2)-Co(5) bond length is 2.52 Å. The Co(2)-Co(7) bond length is 2.59 Å. The Co(2)-Co(9) bond length is 2.51 Å. The Co(2)-Ga(1) bond length is 2.61 Å. The Co(2)-Ga(2) bond length is 2.52 Å. The Co(2)-Ga(3) bond length is 2.61 Å. In the third Co site, Co(3) is bonded to two equivalent Co(6), two equivalent Co(8), two equivalent Co(9), four equivalent Co(1), and two equivalent Ga(2) atoms to form CoGa2Co10 cuboctahedra that share corners with four equivalent Co(2)La2Ga3Co7 cuboctahedra, faces with two equivalent Co(6)La2Ga2Co8 cuboctahedra, faces with two equivalent Co(9)La2GaCo9 cuboctahedra, and faces with four equivalent Co(2)La2Ga3Co7 cuboctahedra. Both Co(3)-Co(6) bond lengths are 2.36 Å. Both Co(3)-Co(8) bond lengths are 2.44 Å. Both Co(3)-Co(9) bond lengths are 2.42 Å. Both Co(3)-Ga(2) bond lengths are 2.47 Å. In the fourth Co site, Co(4) is bonded to two equivalent Co(5), two equivalent Co(7), four equivalent Co(2), two equivalent Ga(1), and two equivalent Ga(3) atoms to form CoGa4Co8 cuboctahedra that share corners with two equivalent Co(6)La2Ga2Co8 cuboctahedra, corners with two equivalent Co(9)La2GaCo9 cuboctahedra, faces with two equivalent Co(6)La2Ga2Co8 cuboctahedra, faces with two equivalent Co(9)La2GaCo9 cuboctahedra, and faces with four equivalent Co(2)La2Ga3Co7 cuboctahedra. Both Co(4)-Co(5) bond lengths are 2.45 Å. Both Co(4)-Co(7) bond lengths are 2.51 Å. Both Co(4)-Ga(1) bond lengths are 2.47 Å. Both Co(4)-Ga(3) bond lengths are 2.47 Å. In the fifth Co site, Co(5) is bonded in a 12-coordinate geometry to two equivalent La(1), one Co(4), one Co(5), one Co(9), two equivalent Co(2), two equivalent Co(8), one Ga(2), and two equivalent Ga(1) atoms. The Co(5)-Co(5) bond length is 2.78 Å. The Co(5)-Co(9) bond length is 2.39 Å. Both Co(5)-Co(8) bond lengths are 2.58 Å. The Co(5)-Ga(2) bond length is 2.47 Å. Both Co(5)-Ga(1) bond lengths are 2.50 Å. In the sixth Co site, Co(6) is bonded to two equivalent La(1), one Co(3), one Co(6), two equivalent Co(1), two equivalent Co(7), two equivalent Co(9), one Ga(1), and one Ga(3) atom to form distorted CoLa2Ga2Co8 cuboctahedra that share  a cornercorner with one Co(4)Ga4Co8 cuboctahedra, corners with two equivalent Co(6)La2Ga2Co8 cuboctahedra, corners with two equivalent Co(9)La2GaCo9 cuboctahedra, corners with six equivalent Co(2)La2Ga3Co7 cuboctahedra,  a faceface with one Co(3)Ga2Co10 cuboctahedra,  a faceface with one Co(4)Ga4Co8 cuboctahedra,  a faceface with one Co(6)La2Ga2Co8 cuboctahedra, faces with two equivalent Co(9)La2GaCo9 cuboctahedra, and faces with six equivalent Co(2)La2Ga3Co7 cuboctahedra. The Co(6)-Co(6) bond length is 2.49 Å. Both Co(6)-Co(7) bond lengths are 2.50 Å. Both Co(6)-Co(9) bond lengths are 2.44 Å. The Co(6)-Ga(1) bond length is 2.46 Å. The Co(6)-Ga(3) bond length is 2.47 Å. In the seventh Co site, Co(7) is bonded in a 12-coordinate geometry to two equivalent La(1), one Co(4), one Co(7), one Co(9), two equivalent Co(2), two equivalent Co(6), one Ga(2), and two equivalent Ga(3) atoms. The Co(7)-Co(7) bond length is 2.71 Å. The Co(7)-Co(9) bond length is 2.43 Å. The Co(7)-Ga(2) bond length is 2.42 Å. Both Co(7)-Ga(3) bond lengths are 2.50 Å. In the eighth Co site, Co(8) is bonded in a 12-coordinate geometry to two equivalent La(1), one Co(3), one Co(8), two equivalent Co(1), two equivalent Co(5), one Ga(1), one Ga(3), and two equivalent Ga(2) atoms. The Co(8)-Co(8) bond length is 2.57 Å. The Co(8)-Ga(1) bond length is 2.43 Å. The Co(8)-Ga(3) bond length is 2.42 Å. Both Co(8)-Ga(2) bond lengths are 2.47 Å. In the ninth Co site, Co(9) is bonded to two equivalent La(1), one Co(3), one Co(5), one Co(7), two equivalent Co(1), two equivalent Co(2), two equivalent Co(6), and one Ga(2) atom to form distorted CoLa2GaCo9 cuboctahedra that share  a cornercorner with one Co(4)Ga4Co8 cuboctahedra, corners with two equivalent Co(6)La2Ga2Co8 cuboctahedra, corners with two equivalent Co(2)La2Ga3Co7 cuboctahedra, corners with two equivalent Co(9)La2GaCo9 cuboctahedra, edges with four equivalent Co(2)La2Ga3Co7 cuboctahedra,  a faceface with one Co(3)Ga2Co10 cuboctahedra,  a faceface with one Co(4)Ga4Co8 cuboctahedra,  a faceface with one Co(9)La2GaCo9 cuboctahedra, faces with two equivalent Co(6)La2Ga2Co8 cuboctahedra, and faces with two equivalent Co(2)La2Ga3Co7 cuboctahedra. The Co(9)-Ga(2) bond length is 2.79 Å. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 11-coordinate geometry to two equivalent La(1), one Co(4), one Co(6), one Co(8), two equivalent Co(1), two equivalent Co(2), and two equivalent Co(5) atoms. In the second Ga site, Ga(2) is bonded in a 12-coordinate geometry to two equivalent La(1), one Co(3), one Co(5), one Co(7), one Co(9), two equivalent Co(1), two equivalent Co(2), and two equivalent Co(8) atoms. In the third Ga site, Ga(3) is bonded in a 11-coordinate geometry to two equivalent La(1), one Co(4), one Co(6), one Co(8), two equivalent Co(1), two equivalent Co(2), and two equivalent Co(7) atoms.