Ho4Fe29Si5 crystallizes in the triclinic P-1 space group. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 19-coordinate geometry to one Fe(11), one Fe(13), one Fe(14), one Fe(3), one Fe(4), one Fe(5), one Fe(6), one Fe(8), one Fe(9), two equivalent Fe(10), two equivalent Fe(12), two equivalent Fe(2), two equivalent Fe(7), one Si(1), and one Si(2) atom. In the second Ho site, Ho(2) is bonded in a 19-coordinate geometry to one Fe(10), one Fe(12), one Fe(13), one Fe(15), one Fe(16), one Fe(3), one Fe(4), one Fe(5), one Fe(6), one Fe(7), two equivalent Fe(1), two equivalent Fe(11), two equivalent Fe(8), two equivalent Fe(9), and one Si(3) atom. There are sixteen inequivalent Fe sites. In the first Fe site, Fe(1) is bonded in a 12-coordinate geometry to two equivalent Ho(2), one Fe(11), one Fe(15), one Fe(16), one Fe(3), one Fe(6), one Fe(9), two equivalent Fe(8), and two equivalent Si(3) atoms. In the second Fe site, Fe(2) is bonded in a 11-coordinate geometry to two equivalent Ho(1), one Fe(10), one Fe(12), one Fe(14), one Fe(4), one Fe(5), two equivalent Fe(7), one Si(1), and two equivalent Si(2) atoms. In the third Fe site, Fe(3) is bonded in a 12-coordinate geometry to one Ho(1), one Ho(2), one Fe(1), one Fe(10), one Fe(11), one Fe(13), one Fe(16), one Fe(6), one Fe(8), one Fe(9), and two equivalent Si(3) atoms. In the fourth Fe site, Fe(4) is bonded in a 11-coordinate geometry to one Ho(1), one Ho(2), one Fe(10), one Fe(12), one Fe(13), one Fe(2), one Fe(5), one Fe(7), one Fe(9), one Si(1), and two equivalent Si(2) atoms. In the fifth Fe site, Fe(5) is bonded to one Ho(1), one Ho(2), one Fe(10), one Fe(11), one Fe(12), one Fe(13), one Fe(14), one Fe(2), one Fe(4), one Fe(7), and two equivalent Si(2) atoms to form distorted FeHo2Fe8Si2 cuboctahedra that share  a cornercorner with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(11)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(12)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(9)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(8)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(15)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(5)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(9)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(11)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(9)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, faces with three equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, and faces with three equivalent Fe(12)Ho3Fe8Si cuboctahedra. In the sixth Fe site, Fe(6) is bonded in a 12-coordinate geometry to one Ho(1), one Ho(2), one Fe(1), one Fe(11), one Fe(12), one Fe(13), one Fe(15), one Fe(3), one Fe(8), one Fe(9), and two equivalent Si(3) atoms. In the seventh Fe site, Fe(7) is bonded to one Ho(2), two equivalent Ho(1), one Fe(10), one Fe(12), one Fe(14), one Fe(4), one Fe(5), two equivalent Fe(2), one Si(1), and one Si(2) atom to form distorted FeHo3Fe7Si2 cuboctahedra that share  a cornercorner with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(11)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(9)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(12)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(14)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(10)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(11)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(12)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(9)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(11)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(9)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, faces with two equivalent Fe(12)Ho3Fe8Si cuboctahedra, and faces with three equivalent Fe(5)Ho2Fe8Si2 cuboctahedra. In the eighth Fe site, Fe(8) is bonded to one Ho(1), two equivalent Ho(2), one Fe(11), one Fe(15), one Fe(16), one Fe(3), one Fe(6), one Fe(9), two equivalent Fe(1), and one Si(3) atom to form FeHo3Fe8Si cuboctahedra that share  a cornercorner with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(12)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(9)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(15)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(16)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(5)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(10)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(7)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(11)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(12)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(9)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(12)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(8)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, and faces with two equivalent Fe(9)Ho3Fe8Si cuboctahedra. In the ninth Fe site, Fe(9) is bonded to one Ho(1), two equivalent Ho(2), one Fe(1), one Fe(12), one Fe(13), one Fe(16), one Fe(3), one Fe(4), one Fe(6), one Fe(8), and one Si(3) atom to form FeHo3Fe8Si cuboctahedra that share  a cornercorner with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(11)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(14)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(12)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(9)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(15)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(5)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(10)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(7)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(11)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(12)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, and faces with two equivalent Fe(8)Ho3Fe8Si cuboctahedra. In the tenth Fe site, Fe(10) is bonded to one Ho(2), two equivalent Ho(1), one Fe(11), one Fe(13), one Fe(2), one Fe(3), one Fe(4), one Fe(5), one Fe(7), one Si(1), and one Si(2) atom to form distorted FeHo3Fe7Si2 cuboctahedra that share  a cornercorner with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(12)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(8)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(9)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(15)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(10)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(14)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(16)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(7)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(9)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(12)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(11)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(8)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(9)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, and faces with two equivalent Fe(12)Ho3Fe8Si cuboctahedra. In the eleventh Fe site, Fe(11) is bonded to one Ho(1), two equivalent Ho(2), one Fe(1), one Fe(10), one Fe(13), one Fe(15), one Fe(3), one Fe(5), one Fe(6), one Fe(8), and one Si(3) atom to form FeHo3Fe8Si cuboctahedra that share  a cornercorner with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(12)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(9)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(11)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(14)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(16)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(7)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(12)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(9)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(12)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, and faces with two equivalent Fe(9)Ho3Fe8Si cuboctahedra. In the twelfth Fe site, Fe(12) is bonded to one Ho(2), two equivalent Ho(1), one Fe(13), one Fe(14), one Fe(2), one Fe(4), one Fe(5), one Fe(6), one Fe(7), one Fe(9), and one Si(2) atom to form distorted FeHo3Fe8Si cuboctahedra that share  a cornercorner with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(11)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(8)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(16)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(9)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(12)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(15)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(7)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(11)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(11)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(8)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(9)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, faces with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, and faces with three equivalent Fe(5)Ho2Fe8Si2 cuboctahedra. In the thirteenth Fe site, Fe(13) is bonded to one Ho(1), one Ho(2), one Fe(10), one Fe(11), one Fe(12), one Fe(3), one Fe(4), one Fe(5), one Fe(6), one Fe(9), one Si(2), and one Si(3) atom to form distorted FeHo2Fe8Si2 cuboctahedra that share  a cornercorner with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(11)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(12)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(9)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with three equivalent Fe(8)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(5)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(10)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(7)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(11)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(12)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(9)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(11)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(12)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(8)Ho3Fe8Si cuboctahedra, and  a faceface with one Fe(9)Ho3Fe8Si cuboctahedra. In the fourteenth Fe site, Fe(14) is bonded to two equivalent Ho(1), two equivalent Fe(12), two equivalent Fe(2), two equivalent Fe(5), two equivalent Fe(7), and two equivalent Si(2) atoms to form distorted FeHo2Fe8Si2 cuboctahedra that share corners with two equivalent Fe(13)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(12)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, corners with four equivalent Fe(9)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, edges with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, edges with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(13)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, faces with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, and faces with two equivalent Fe(12)Ho3Fe8Si cuboctahedra. In the fifteenth Fe site, Fe(15) is bonded to two equivalent Ho(2), two equivalent Fe(1), two equivalent Fe(11), two equivalent Fe(6), two equivalent Fe(8), and two equivalent Si(3) atoms to form distorted FeHo2Fe8Si2 cuboctahedra that share corners with two equivalent Fe(13)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(16)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(9)Ho3Fe8Si cuboctahedra, corners with four equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, edges with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, edges with two equivalent Fe(12)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(9)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(13)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(16)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, and faces with two equivalent Fe(9)Ho3Fe8Si cuboctahedra. In the sixteenth Fe site, Fe(16) is bonded to two equivalent Ho(2), two equivalent Fe(1), two equivalent Fe(3), two equivalent Fe(8), two equivalent Fe(9), and two equivalent Si(3) atoms to form distorted FeHo2Fe8Si2 cuboctahedra that share corners with two equivalent Fe(13)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(15)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(9)Ho3Fe8Si cuboctahedra, corners with four equivalent Fe(12)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, edges with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(13)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(15)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, and faces with two equivalent Fe(9)Ho3Fe8Si cuboctahedra. There are three inequivalent Si sites. In the first Si site, Si(1) is bonded in a 8-coordinate geometry to two equivalent Ho(1), two equivalent Fe(10), two equivalent Fe(2), two equivalent Fe(4), two equivalent Fe(7), and two equivalent Si(2) atoms. In the second Si site, Si(2) is bonded in a 14-coordinate geometry to one Ho(1), one Fe(10), one Fe(12), one Fe(13), one Fe(14), one Fe(7), two equivalent Fe(2), two equivalent Fe(4), two equivalent Fe(5), one Si(1), and one Si(2) atom. In the third Si site, Si(3) is bonded in a 14-coordinate geometry to one Ho(2), one Fe(11), one Fe(13), one Fe(15), one Fe(16), one Fe(8), one Fe(9), two equivalent Fe(1), two equivalent Fe(3), two equivalent Fe(6), and one Si(3) atom.
Ho4Fe29Si5 crystallizes in the triclinic P-1 space group. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 19-coordinate geometry to one Fe(11), one Fe(13), one Fe(14), one Fe(3), one Fe(4), one Fe(5), one Fe(6), one Fe(8), one Fe(9), two equivalent Fe(10), two equivalent Fe(12), two equivalent Fe(2), two equivalent Fe(7), one Si(1), and one Si(2) atom. The Ho(1)-Fe(11) bond length is 3.01 Å. The Ho(1)-Fe(13) bond length is 3.26 Å. The Ho(1)-Fe(14) bond length is 3.24 Å. The Ho(1)-Fe(3) bond length is 2.90 Å. The Ho(1)-Fe(4) bond length is 2.92 Å. The Ho(1)-Fe(5) bond length is 2.94 Å. The Ho(1)-Fe(6) bond length is 2.92 Å. The Ho(1)-Fe(8) bond length is 3.14 Å. The Ho(1)-Fe(9) bond length is 3.03 Å. There is one shorter (3.15 Å) and one longer (3.18 Å) Ho(1)-Fe(10) bond length. There is one shorter (3.14 Å) and one longer (3.21 Å) Ho(1)-Fe(12) bond length. There is one shorter (2.87 Å) and one longer (2.91 Å) Ho(1)-Fe(2) bond length. There is one shorter (3.06 Å) and one longer (3.16 Å) Ho(1)-Fe(7) bond length. The Ho(1)-Si(1) bond length is 3.32 Å. The Ho(1)-Si(2) bond length is 3.06 Å. In the second Ho site, Ho(2) is bonded in a 19-coordinate geometry to one Fe(10), one Fe(12), one Fe(13), one Fe(15), one Fe(16), one Fe(3), one Fe(4), one Fe(5), one Fe(6), one Fe(7), two equivalent Fe(1), two equivalent Fe(11), two equivalent Fe(8), two equivalent Fe(9), and one Si(3) atom. The Ho(2)-Fe(10) bond length is 3.04 Å. The Ho(2)-Fe(12) bond length is 2.99 Å. The Ho(2)-Fe(13) bond length is 3.26 Å. The Ho(2)-Fe(15) bond length is 3.28 Å. The Ho(2)-Fe(16) bond length is 3.30 Å. The Ho(2)-Fe(3) bond length is 2.93 Å. The Ho(2)-Fe(4) bond length is 2.89 Å. The Ho(2)-Fe(5) bond length is 2.96 Å. The Ho(2)-Fe(6) bond length is 2.94 Å. The Ho(2)-Fe(7) bond length is 3.16 Å. There is one shorter (2.91 Å) and one longer (2.93 Å) Ho(2)-Fe(1) bond length. There is one shorter (3.15 Å) and one longer (3.20 Å) Ho(2)-Fe(11) bond length. There is one shorter (3.02 Å) and one longer (3.20 Å) Ho(2)-Fe(8) bond length. There is one shorter (3.15 Å) and one longer (3.18 Å) Ho(2)-Fe(9) bond length. The Ho(2)-Si(3) bond length is 3.04 Å. There are sixteen inequivalent Fe sites. In the first Fe site, Fe(1) is bonded in a 12-coordinate geometry to two equivalent Ho(2), one Fe(11), one Fe(15), one Fe(16), one Fe(3), one Fe(6), one Fe(9), two equivalent Fe(8), and two equivalent Si(3) atoms. The Fe(1)-Fe(11) bond length is 2.52 Å. The Fe(1)-Fe(15) bond length is 2.43 Å. The Fe(1)-Fe(16) bond length is 2.42 Å. The Fe(1)-Fe(3) bond length is 2.50 Å. The Fe(1)-Fe(6) bond length is 2.50 Å. The Fe(1)-Fe(9) bond length is 2.52 Å. There is one shorter (2.57 Å) and one longer (2.58 Å) Fe(1)-Fe(8) bond length. There is one shorter (2.81 Å) and one longer (2.82 Å) Fe(1)-Si(3) bond length. In the second Fe site, Fe(2) is bonded in a 11-coordinate geometry to two equivalent Ho(1), one Fe(10), one Fe(12), one Fe(14), one Fe(4), one Fe(5), two equivalent Fe(7), one Si(1), and two equivalent Si(2) atoms. The Fe(2)-Fe(10) bond length is 2.52 Å. The Fe(2)-Fe(12) bond length is 2.52 Å. The Fe(2)-Fe(14) bond length is 2.45 Å. The Fe(2)-Fe(4) bond length is 2.50 Å. The Fe(2)-Fe(5) bond length is 2.52 Å. There is one shorter (2.53 Å) and one longer (2.56 Å) Fe(2)-Fe(7) bond length. The Fe(2)-Si(1) bond length is 2.42 Å. There is one shorter (2.72 Å) and one longer (2.97 Å) Fe(2)-Si(2) bond length. In the third Fe site, Fe(3) is bonded in a 12-coordinate geometry to one Ho(1), one Ho(2), one Fe(1), one Fe(10), one Fe(11), one Fe(13), one Fe(16), one Fe(6), one Fe(8), one Fe(9), and two equivalent Si(3) atoms. The Fe(3)-Fe(10) bond length is 2.58 Å. The Fe(3)-Fe(11) bond length is 2.51 Å. The Fe(3)-Fe(13) bond length is 2.43 Å. The Fe(3)-Fe(16) bond length is 2.43 Å. The Fe(3)-Fe(6) bond length is 2.50 Å. The Fe(3)-Fe(8) bond length is 2.52 Å. The Fe(3)-Fe(9) bond length is 2.56 Å. There is one shorter (2.81 Å) and one longer (2.83 Å) Fe(3)-Si(3) bond length. In the fourth Fe site, Fe(4) is bonded in a 11-coordinate geometry to one Ho(1), one Ho(2), one Fe(10), one Fe(12), one Fe(13), one Fe(2), one Fe(5), one Fe(7), one Fe(9), one Si(1), and two equivalent Si(2) atoms. The Fe(4)-Fe(10) bond length is 2.54 Å. The Fe(4)-Fe(12) bond length is 2.52 Å. The Fe(4)-Fe(13) bond length is 2.45 Å. The Fe(4)-Fe(5) bond length is 2.52 Å. The Fe(4)-Fe(7) bond length is 2.52 Å. The Fe(4)-Fe(9) bond length is 2.56 Å. The Fe(4)-Si(1) bond length is 2.41 Å. There is one shorter (2.72 Å) and one longer (2.97 Å) Fe(4)-Si(2) bond length. In the fifth Fe site, Fe(5) is bonded to one Ho(1), one Ho(2), one Fe(10), one Fe(11), one Fe(12), one Fe(13), one Fe(14), one Fe(2), one Fe(4), one Fe(7), and two equivalent Si(2) atoms to form distorted FeHo2Fe8Si2 cuboctahedra that share  a cornercorner with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(11)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(12)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(9)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(8)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(15)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(5)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(9)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(11)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(9)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, faces with three equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, and faces with three equivalent Fe(12)Ho3Fe8Si cuboctahedra. The Fe(5)-Fe(10) bond length is 2.49 Å. The Fe(5)-Fe(11) bond length is 2.60 Å. The Fe(5)-Fe(12) bond length is 2.60 Å. The Fe(5)-Fe(13) bond length is 2.43 Å. The Fe(5)-Fe(14) bond length is 2.42 Å. The Fe(5)-Fe(7) bond length is 2.49 Å. There is one shorter (2.71 Å) and one longer (2.72 Å) Fe(5)-Si(2) bond length. In the sixth Fe site, Fe(6) is bonded in a 12-coordinate geometry to one Ho(1), one Ho(2), one Fe(1), one Fe(11), one Fe(12), one Fe(13), one Fe(15), one Fe(3), one Fe(8), one Fe(9), and two equivalent Si(3) atoms. The Fe(6)-Fe(11) bond length is 2.58 Å. The Fe(6)-Fe(12) bond length is 2.58 Å. The Fe(6)-Fe(13) bond length is 2.43 Å. The Fe(6)-Fe(15) bond length is 2.43 Å. The Fe(6)-Fe(8) bond length is 2.51 Å. The Fe(6)-Fe(9) bond length is 2.51 Å. Both Fe(6)-Si(3) bond lengths are 2.77 Å. In the seventh Fe site, Fe(7) is bonded to one Ho(2), two equivalent Ho(1), one Fe(10), one Fe(12), one Fe(14), one Fe(4), one Fe(5), two equivalent Fe(2), one Si(1), and one Si(2) atom to form distorted FeHo3Fe7Si2 cuboctahedra that share  a cornercorner with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(11)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(9)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(12)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(14)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(10)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(11)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(12)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(9)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(11)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(9)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, faces with two equivalent Fe(12)Ho3Fe8Si cuboctahedra, and faces with three equivalent Fe(5)Ho2Fe8Si2 cuboctahedra. The Fe(7)-Fe(10) bond length is 2.48 Å. The Fe(7)-Fe(12) bond length is 2.41 Å. The Fe(7)-Fe(14) bond length is 2.39 Å. The Fe(7)-Si(1) bond length is 2.36 Å. The Fe(7)-Si(2) bond length is 2.59 Å. In the eighth Fe site, Fe(8) is bonded to one Ho(1), two equivalent Ho(2), one Fe(11), one Fe(15), one Fe(16), one Fe(3), one Fe(6), one Fe(9), two equivalent Fe(1), and one Si(3) atom to form FeHo3Fe8Si cuboctahedra that share  a cornercorner with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(12)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(9)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(15)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(16)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(5)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(10)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(7)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(11)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(12)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(9)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(12)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(8)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, and faces with two equivalent Fe(9)Ho3Fe8Si cuboctahedra. The Fe(8)-Fe(11) bond length is 2.42 Å. The Fe(8)-Fe(15) bond length is 2.41 Å. The Fe(8)-Fe(16) bond length is 2.39 Å. The Fe(8)-Fe(9) bond length is 2.44 Å. The Fe(8)-Si(3) bond length is 2.54 Å. In the ninth Fe site, Fe(9) is bonded to one Ho(1), two equivalent Ho(2), one Fe(1), one Fe(12), one Fe(13), one Fe(16), one Fe(3), one Fe(4), one Fe(6), one Fe(8), and one Si(3) atom to form FeHo3Fe8Si cuboctahedra that share  a cornercorner with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(11)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(14)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(12)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(9)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(15)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(5)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(10)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(7)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(11)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(12)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, and faces with two equivalent Fe(8)Ho3Fe8Si cuboctahedra. The Fe(9)-Fe(12) bond length is 2.41 Å. The Fe(9)-Fe(13) bond length is 2.40 Å. The Fe(9)-Fe(16) bond length is 2.38 Å. The Fe(9)-Si(3) bond length is 2.54 Å. In the tenth Fe site, Fe(10) is bonded to one Ho(2), two equivalent Ho(1), one Fe(11), one Fe(13), one Fe(2), one Fe(3), one Fe(4), one Fe(5), one Fe(7), one Si(1), and one Si(2) atom to form distorted FeHo3Fe7Si2 cuboctahedra that share  a cornercorner with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(12)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(8)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(9)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(15)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(10)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(14)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(16)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(7)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(9)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(12)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(11)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(8)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(9)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, and faces with two equivalent Fe(12)Ho3Fe8Si cuboctahedra. The Fe(10)-Fe(11) bond length is 2.44 Å. The Fe(10)-Fe(13) bond length is 2.40 Å. The Fe(10)-Si(1) bond length is 2.36 Å. The Fe(10)-Si(2) bond length is 2.58 Å. In the eleventh Fe site, Fe(11) is bonded to one Ho(1), two equivalent Ho(2), one Fe(1), one Fe(10), one Fe(13), one Fe(15), one Fe(3), one Fe(5), one Fe(6), one Fe(8), and one Si(3) atom to form FeHo3Fe8Si cuboctahedra that share  a cornercorner with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(12)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(9)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(11)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(14)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(16)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(7)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(12)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(9)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(12)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, and faces with two equivalent Fe(9)Ho3Fe8Si cuboctahedra. The Fe(11)-Fe(13) bond length is 2.39 Å. The Fe(11)-Fe(15) bond length is 2.39 Å. The Fe(11)-Si(3) bond length is 2.57 Å. In the twelfth Fe site, Fe(12) is bonded to one Ho(2), two equivalent Ho(1), one Fe(13), one Fe(14), one Fe(2), one Fe(4), one Fe(5), one Fe(6), one Fe(7), one Fe(9), and one Si(2) atom to form distorted FeHo3Fe8Si cuboctahedra that share  a cornercorner with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(11)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(8)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(16)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(9)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(12)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(15)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(7)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(11)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(13)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(11)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(8)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(9)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, faces with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, and faces with three equivalent Fe(5)Ho2Fe8Si2 cuboctahedra. The Fe(12)-Fe(13) bond length is 2.41 Å. The Fe(12)-Fe(14) bond length is 2.41 Å. The Fe(12)-Si(2) bond length is 2.48 Å. In the thirteenth Fe site, Fe(13) is bonded to one Ho(1), one Ho(2), one Fe(10), one Fe(11), one Fe(12), one Fe(3), one Fe(4), one Fe(5), one Fe(6), one Fe(9), one Si(2), and one Si(3) atom to form distorted FeHo2Fe8Si2 cuboctahedra that share  a cornercorner with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a cornercorner with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a cornercorner with one Fe(11)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(12)Ho3Fe8Si cuboctahedra,  a cornercorner with one Fe(9)Ho3Fe8Si cuboctahedra, corners with three equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with three equivalent Fe(8)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(5)Ho2Fe8Si2 cuboctahedra,  an edgeedge with one Fe(10)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(7)Ho3Fe7Si2 cuboctahedra,  an edgeedge with one Fe(11)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(12)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(8)Ho3Fe8Si cuboctahedra,  an edgeedge with one Fe(9)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(14)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(15)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(16)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(5)Ho2Fe8Si2 cuboctahedra,  a faceface with one Fe(10)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(7)Ho3Fe7Si2 cuboctahedra,  a faceface with one Fe(11)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(12)Ho3Fe8Si cuboctahedra,  a faceface with one Fe(8)Ho3Fe8Si cuboctahedra, and  a faceface with one Fe(9)Ho3Fe8Si cuboctahedra. The Fe(13)-Si(2) bond length is 2.46 Å. The Fe(13)-Si(3) bond length is 2.53 Å. In the fourteenth Fe site, Fe(14) is bonded to two equivalent Ho(1), two equivalent Fe(12), two equivalent Fe(2), two equivalent Fe(5), two equivalent Fe(7), and two equivalent Si(2) atoms to form distorted FeHo2Fe8Si2 cuboctahedra that share corners with two equivalent Fe(13)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(12)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, corners with four equivalent Fe(9)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, edges with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, edges with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(13)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, faces with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, and faces with two equivalent Fe(12)Ho3Fe8Si cuboctahedra. Both Fe(14)-Si(2) bond lengths are 2.46 Å. In the fifteenth Fe site, Fe(15) is bonded to two equivalent Ho(2), two equivalent Fe(1), two equivalent Fe(11), two equivalent Fe(6), two equivalent Fe(8), and two equivalent Si(3) atoms to form distorted FeHo2Fe8Si2 cuboctahedra that share corners with two equivalent Fe(13)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(16)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(9)Ho3Fe8Si cuboctahedra, corners with four equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, edges with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, edges with two equivalent Fe(12)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(9)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(13)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(16)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, and faces with two equivalent Fe(9)Ho3Fe8Si cuboctahedra. Both Fe(15)-Si(3) bond lengths are 2.52 Å. In the sixteenth Fe site, Fe(16) is bonded to two equivalent Ho(2), two equivalent Fe(1), two equivalent Fe(3), two equivalent Fe(8), two equivalent Fe(9), and two equivalent Si(3) atoms to form distorted FeHo2Fe8Si2 cuboctahedra that share corners with two equivalent Fe(13)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(15)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(5)Ho2Fe8Si2 cuboctahedra, corners with two equivalent Fe(7)Ho3Fe7Si2 cuboctahedra, corners with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, corners with two equivalent Fe(9)Ho3Fe8Si cuboctahedra, corners with four equivalent Fe(12)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(10)Ho3Fe7Si2 cuboctahedra, edges with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, edges with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(13)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(15)Ho2Fe8Si2 cuboctahedra, faces with two equivalent Fe(11)Ho3Fe8Si cuboctahedra, faces with two equivalent Fe(8)Ho3Fe8Si cuboctahedra, and faces with two equivalent Fe(9)Ho3Fe8Si cuboctahedra. Both Fe(16)-Si(3) bond lengths are 2.55 Å. There are three inequivalent Si sites. In the first Si site, Si(1) is bonded in a 8-coordinate geometry to two equivalent Ho(1), two equivalent Fe(10), two equivalent Fe(2), two equivalent Fe(4), two equivalent Fe(7), and two equivalent Si(2) atoms. Both Si(1)-Si(2) bond lengths are 2.70 Å. In the second Si site, Si(2) is bonded in a 14-coordinate geometry to one Ho(1), one Fe(10), one Fe(12), one Fe(13), one Fe(14), one Fe(7), two equivalent Fe(2), two equivalent Fe(4), two equivalent Fe(5), one Si(1), and one Si(2) atom. The Si(2)-Si(2) bond length is 2.49 Å. In the third Si site, Si(3) is bonded in a 14-coordinate geometry to one Ho(2), one Fe(11), one Fe(13), one Fe(15), one Fe(16), one Fe(8), one Fe(9), two equivalent Fe(1), two equivalent Fe(3), two equivalent Fe(6), and one Si(3) atom. The Si(3)-Si(3) bond length is 2.52 Å.