Th9YO20 is Fluorite-derived structured and crystallizes in the triclinic P-1 space group. There are five inequivalent Th sites. In the first Th site, Th(1) is bonded in a body-centered cubic geometry to one O(3), one O(7), one O(8), one O(9), two equivalent O(1), and two equivalent O(5) atoms. In the second Th site, Th(2) is bonded in a body-centered cubic geometry to two equivalent O(4), two equivalent O(6), two equivalent O(7), and two equivalent O(9) atoms. In the third Th site, Th(3) is bonded in a body-centered cubic geometry to one O(1), one O(10), one O(5), one O(6), one O(8), one O(9), and two equivalent O(2) atoms. In the fourth Th site, Th(4) is bonded in a body-centered cubic geometry to one O(1), one O(4), one O(7), one O(8), two equivalent O(10), and two equivalent O(3) atoms. In the fifth Th site, Th(5) is bonded in a body-centered cubic geometry to one O(10), one O(2), one O(3), one O(4), one O(5), one O(7), and two equivalent O(6) atoms. Y(1) is bonded in a body-centered cubic geometry to two equivalent O(2), two equivalent O(4), two equivalent O(8), and two equivalent O(9) atoms. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Th(3), one Th(4), and two equivalent Th(1) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(10)Th4 tetrahedra,  a cornercorner with one O(6)Th4 tetrahedra,  a cornercorner with one O(7)Th4 tetrahedra,  a cornercorner with one O(4)YTh3 tetrahedra,  a cornercorner with one O(9)YTh3 tetrahedra, corners with two equivalent O(3)Th4 tetrahedra, corners with two equivalent O(2)YTh3 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra, corners with four equivalent O(8)YTh3 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra,  an edgeedge with one O(10)Th4 tetrahedra,  an edgeedge with one O(3)Th4 tetrahedra,  an edgeedge with one O(5)Th4 tetrahedra,  an edgeedge with one O(7)Th4 tetrahedra, and  an edgeedge with one O(9)YTh3 tetrahedra. In the second O site, O(2) is bonded to one Th(5), two equivalent Th(3), and one Y(1) atom to form OYTh3 tetrahedra that share  a cornercorner with one O(10)Th4 tetrahedra,  a cornercorner with one O(3)Th4 tetrahedra,  a cornercorner with one O(7)Th4 tetrahedra,  a cornercorner with one O(2)YTh3 tetrahedra,  a cornercorner with one O(4)YTh3 tetrahedra, corners with two equivalent O(1)Th4 tetrahedra, corners with two equivalent O(6)Th4 tetrahedra, corners with two equivalent O(8)YTh3 tetrahedra, corners with two equivalent O(9)YTh3 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra,  an edgeedge with one O(10)Th4 tetrahedra,  an edgeedge with one O(6)Th4 tetrahedra,  an edgeedge with one O(2)YTh3 tetrahedra,  an edgeedge with one O(4)YTh3 tetrahedra,  an edgeedge with one O(8)YTh3 tetrahedra, and  an edgeedge with one O(9)YTh3 tetrahedra. In the third O site, O(3) is bonded to one Th(1), one Th(5), and two equivalent Th(4) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(5)Th4 tetrahedra,  a cornercorner with one O(2)YTh3 tetrahedra,  a cornercorner with one O(4)YTh3 tetrahedra,  a cornercorner with one O(8)YTh3 tetrahedra,  a cornercorner with one O(9)YTh3 tetrahedra, corners with two equivalent O(1)Th4 tetrahedra, corners with two equivalent O(6)Th4 tetrahedra, corners with three equivalent O(10)Th4 tetrahedra, corners with four equivalent O(7)Th4 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra,  an edgeedge with one O(10)Th4 tetrahedra,  an edgeedge with one O(3)Th4 tetrahedra,  an edgeedge with one O(5)Th4 tetrahedra,  an edgeedge with one O(4)YTh3 tetrahedra, and  an edgeedge with one O(8)YTh3 tetrahedra. In the fourth O site, O(4) is bonded to one Th(2), one Th(4), one Th(5), and one Y(1) atom to form OYTh3 tetrahedra that share  a cornercorner with one O(1)Th4 tetrahedra,  a cornercorner with one O(3)Th4 tetrahedra,  a cornercorner with one O(5)Th4 tetrahedra,  a cornercorner with one O(2)YTh3 tetrahedra,  a cornercorner with one O(8)YTh3 tetrahedra, corners with two equivalent O(6)Th4 tetrahedra, corners with two equivalent O(7)Th4 tetrahedra, corners with two equivalent O(4)YTh3 tetrahedra, corners with two equivalent O(9)YTh3 tetrahedra, corners with three equivalent O(10)Th4 tetrahedra,  an edgeedge with one O(3)Th4 tetrahedra,  an edgeedge with one O(6)Th4 tetrahedra,  an edgeedge with one O(7)Th4 tetrahedra,  an edgeedge with one O(2)YTh3 tetrahedra,  an edgeedge with one O(8)YTh3 tetrahedra, and  an edgeedge with one O(9)YTh3 tetrahedra. In the fifth O site, O(5) is bonded to one Th(3), one Th(5), and two equivalent Th(1) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(3)Th4 tetrahedra,  a cornercorner with one O(6)Th4 tetrahedra,  a cornercorner with one O(7)Th4 tetrahedra,  a cornercorner with one O(4)YTh3 tetrahedra,  a cornercorner with one O(8)YTh3 tetrahedra, corners with two equivalent O(10)Th4 tetrahedra, corners with three equivalent O(1)Th4 tetrahedra, corners with three equivalent O(2)YTh3 tetrahedra, corners with three equivalent O(9)YTh3 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra,  an edgeedge with one O(3)Th4 tetrahedra,  an edgeedge with one O(5)Th4 tetrahedra,  an edgeedge with one O(6)Th4 tetrahedra,  an edgeedge with one O(7)Th4 tetrahedra, and  an edgeedge with one O(8)YTh3 tetrahedra. In the sixth O site, O(6) is bonded to one Th(2), one Th(3), and two equivalent Th(5) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(1)Th4 tetrahedra,  a cornercorner with one O(5)Th4 tetrahedra,  a cornercorner with one O(6)Th4 tetrahedra,  a cornercorner with one O(8)YTh3 tetrahedra,  a cornercorner with one O(9)YTh3 tetrahedra, corners with two equivalent O(3)Th4 tetrahedra, corners with two equivalent O(7)Th4 tetrahedra, corners with two equivalent O(2)YTh3 tetrahedra, corners with two equivalent O(4)YTh3 tetrahedra, corners with three equivalent O(10)Th4 tetrahedra,  an edgeedge with one O(5)Th4 tetrahedra,  an edgeedge with one O(6)Th4 tetrahedra,  an edgeedge with one O(7)Th4 tetrahedra,  an edgeedge with one O(2)YTh3 tetrahedra,  an edgeedge with one O(4)YTh3 tetrahedra, and  an edgeedge with one O(9)YTh3 tetrahedra. In the seventh O site, O(7) is bonded to one Th(1), one Th(2), one Th(4), and one Th(5) atom to form OTh4 tetrahedra that share  a cornercorner with one O(1)Th4 tetrahedra,  a cornercorner with one O(10)Th4 tetrahedra,  a cornercorner with one O(5)Th4 tetrahedra,  a cornercorner with one O(7)Th4 tetrahedra,  a cornercorner with one O(2)YTh3 tetrahedra,  a cornercorner with one O(9)YTh3 tetrahedra, corners with two equivalent O(6)Th4 tetrahedra, corners with two equivalent O(4)YTh3 tetrahedra, corners with two equivalent O(8)YTh3 tetrahedra, corners with four equivalent O(3)Th4 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra,  an edgeedge with one O(10)Th4 tetrahedra,  an edgeedge with one O(5)Th4 tetrahedra,  an edgeedge with one O(6)Th4 tetrahedra,  an edgeedge with one O(4)YTh3 tetrahedra, and  an edgeedge with one O(9)YTh3 tetrahedra. In the eighth O site, O(8) is bonded to one Th(1), one Th(3), one Th(4), and one Y(1) atom to form OYTh3 tetrahedra that share  a cornercorner with one O(10)Th4 tetrahedra,  a cornercorner with one O(3)Th4 tetrahedra,  a cornercorner with one O(5)Th4 tetrahedra,  a cornercorner with one O(6)Th4 tetrahedra,  a cornercorner with one O(4)YTh3 tetrahedra,  a cornercorner with one O(8)YTh3 tetrahedra, corners with two equivalent O(7)Th4 tetrahedra, corners with two equivalent O(2)YTh3 tetrahedra, corners with two equivalent O(9)YTh3 tetrahedra, corners with four equivalent O(1)Th4 tetrahedra,  an edgeedge with one O(10)Th4 tetrahedra,  an edgeedge with one O(3)Th4 tetrahedra,  an edgeedge with one O(5)Th4 tetrahedra,  an edgeedge with one O(2)YTh3 tetrahedra,  an edgeedge with one O(4)YTh3 tetrahedra, and  an edgeedge with one O(9)YTh3 tetrahedra. In the ninth O site, O(9) is bonded to one Th(1), one Th(2), one Th(3), and one Y(1) atom to form OYTh3 tetrahedra that share  a cornercorner with one O(1)Th4 tetrahedra,  a cornercorner with one O(10)Th4 tetrahedra,  a cornercorner with one O(3)Th4 tetrahedra,  a cornercorner with one O(6)Th4 tetrahedra,  a cornercorner with one O(7)Th4 tetrahedra, corners with two equivalent O(2)YTh3 tetrahedra, corners with two equivalent O(4)YTh3 tetrahedra, corners with two equivalent O(8)YTh3 tetrahedra, corners with two equivalent O(9)YTh3 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra,  an edgeedge with one O(6)Th4 tetrahedra,  an edgeedge with one O(7)Th4 tetrahedra,  an edgeedge with one O(2)YTh3 tetrahedra,  an edgeedge with one O(4)YTh3 tetrahedra, and  an edgeedge with one O(8)YTh3 tetrahedra. In the tenth O site, O(10) is bonded to one Th(3), one Th(5), and two equivalent Th(4) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(1)Th4 tetrahedra,  a cornercorner with one O(7)Th4 tetrahedra,  a cornercorner with one O(2)YTh3 tetrahedra,  a cornercorner with one O(8)YTh3 tetrahedra,  a cornercorner with one O(9)YTh3 tetrahedra, corners with two equivalent O(5)Th4 tetrahedra, corners with three equivalent O(3)Th4 tetrahedra, corners with three equivalent O(6)Th4 tetrahedra, corners with three equivalent O(4)YTh3 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra,  an edgeedge with one O(10)Th4 tetrahedra,  an edgeedge with one O(3)Th4 tetrahedra,  an edgeedge with one O(7)Th4 tetrahedra,  an edgeedge with one O(2)YTh3 tetrahedra, and  an edgeedge with one O(8)YTh3 tetrahedra.
Th9YO20 is Fluorite-derived structured and crystallizes in the triclinic P-1 space group. There are five inequivalent Th sites. In the first Th site, Th(1) is bonded in a body-centered cubic geometry to one O(3), one O(7), one O(8), one O(9), two equivalent O(1), and two equivalent O(5) atoms. The Th(1)-O(3) bond length is 2.42 Å. The Th(1)-O(7) bond length is 2.42 Å. The Th(1)-O(8) bond length is 2.40 Å. The Th(1)-O(9) bond length is 2.40 Å. There is one shorter (2.42 Å) and one longer (2.44 Å) Th(1)-O(1) bond length. There is one shorter (2.42 Å) and one longer (2.44 Å) Th(1)-O(5) bond length. In the second Th site, Th(2) is bonded in a body-centered cubic geometry to two equivalent O(4), two equivalent O(6), two equivalent O(7), and two equivalent O(9) atoms. Both Th(2)-O(4) bond lengths are 2.42 Å. Both Th(2)-O(6) bond lengths are 2.42 Å. Both Th(2)-O(7) bond lengths are 2.42 Å. Both Th(2)-O(9) bond lengths are 2.42 Å. In the third Th site, Th(3) is bonded in a body-centered cubic geometry to one O(1), one O(10), one O(5), one O(6), one O(8), one O(9), and two equivalent O(2) atoms. The Th(3)-O(1) bond length is 2.44 Å. The Th(3)-O(10) bond length is 2.42 Å. The Th(3)-O(5) bond length is 2.43 Å. The Th(3)-O(6) bond length is 2.42 Å. The Th(3)-O(8) bond length is 2.42 Å. The Th(3)-O(9) bond length is 2.42 Å. There is one shorter (2.40 Å) and one longer (2.41 Å) Th(3)-O(2) bond length. In the fourth Th site, Th(4) is bonded in a body-centered cubic geometry to one O(1), one O(4), one O(7), one O(8), two equivalent O(10), and two equivalent O(3) atoms. The Th(4)-O(1) bond length is 2.43 Å. The Th(4)-O(4) bond length is 2.40 Å. The Th(4)-O(7) bond length is 2.41 Å. The Th(4)-O(8) bond length is 2.40 Å. There is one shorter (2.42 Å) and one longer (2.44 Å) Th(4)-O(10) bond length. Both Th(4)-O(3) bond lengths are 2.42 Å. In the fifth Th site, Th(5) is bonded in a body-centered cubic geometry to one O(10), one O(2), one O(3), one O(4), one O(5), one O(7), and two equivalent O(6) atoms. The Th(5)-O(10) bond length is 2.42 Å. The Th(5)-O(2) bond length is 2.40 Å. The Th(5)-O(3) bond length is 2.42 Å. The Th(5)-O(4) bond length is 2.40 Å. The Th(5)-O(5) bond length is 2.43 Å. The Th(5)-O(7) bond length is 2.44 Å. Both Th(5)-O(6) bond lengths are 2.42 Å. Y(1) is bonded in a body-centered cubic geometry to two equivalent O(2), two equivalent O(4), two equivalent O(8), and two equivalent O(9) atoms. Both Y(1)-O(2) bond lengths are 2.41 Å. Both Y(1)-O(4) bond lengths are 2.41 Å. Both Y(1)-O(8) bond lengths are 2.41 Å. Both Y(1)-O(9) bond lengths are 2.41 Å. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Th(3), one Th(4), and two equivalent Th(1) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(10)Th4 tetrahedra,  a cornercorner with one O(6)Th4 tetrahedra,  a cornercorner with one O(7)Th4 tetrahedra,  a cornercorner with one O(4)YTh3 tetrahedra,  a cornercorner with one O(9)YTh3 tetrahedra, corners with two equivalent O(3)Th4 tetrahedra, corners with two equivalent O(2)YTh3 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra, corners with four equivalent O(8)YTh3 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra,  an edgeedge with one O(10)Th4 tetrahedra,  an edgeedge with one O(3)Th4 tetrahedra,  an edgeedge with one O(5)Th4 tetrahedra,  an edgeedge with one O(7)Th4 tetrahedra, and  an edgeedge with one O(9)YTh3 tetrahedra. In the second O site, O(2) is bonded to one Th(5), two equivalent Th(3), and one Y(1) atom to form OYTh3 tetrahedra that share  a cornercorner with one O(10)Th4 tetrahedra,  a cornercorner with one O(3)Th4 tetrahedra,  a cornercorner with one O(7)Th4 tetrahedra,  a cornercorner with one O(2)YTh3 tetrahedra,  a cornercorner with one O(4)YTh3 tetrahedra, corners with two equivalent O(1)Th4 tetrahedra, corners with two equivalent O(6)Th4 tetrahedra, corners with two equivalent O(8)YTh3 tetrahedra, corners with two equivalent O(9)YTh3 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra,  an edgeedge with one O(10)Th4 tetrahedra,  an edgeedge with one O(6)Th4 tetrahedra,  an edgeedge with one O(2)YTh3 tetrahedra,  an edgeedge with one O(4)YTh3 tetrahedra,  an edgeedge with one O(8)YTh3 tetrahedra, and  an edgeedge with one O(9)YTh3 tetrahedra. In the third O site, O(3) is bonded to one Th(1), one Th(5), and two equivalent Th(4) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(5)Th4 tetrahedra,  a cornercorner with one O(2)YTh3 tetrahedra,  a cornercorner with one O(4)YTh3 tetrahedra,  a cornercorner with one O(8)YTh3 tetrahedra,  a cornercorner with one O(9)YTh3 tetrahedra, corners with two equivalent O(1)Th4 tetrahedra, corners with two equivalent O(6)Th4 tetrahedra, corners with three equivalent O(10)Th4 tetrahedra, corners with four equivalent O(7)Th4 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra,  an edgeedge with one O(10)Th4 tetrahedra,  an edgeedge with one O(3)Th4 tetrahedra,  an edgeedge with one O(5)Th4 tetrahedra,  an edgeedge with one O(4)YTh3 tetrahedra, and  an edgeedge with one O(8)YTh3 tetrahedra. In the fourth O site, O(4) is bonded to one Th(2), one Th(4), one Th(5), and one Y(1) atom to form OYTh3 tetrahedra that share  a cornercorner with one O(1)Th4 tetrahedra,  a cornercorner with one O(3)Th4 tetrahedra,  a cornercorner with one O(5)Th4 tetrahedra,  a cornercorner with one O(2)YTh3 tetrahedra,  a cornercorner with one O(8)YTh3 tetrahedra, corners with two equivalent O(6)Th4 tetrahedra, corners with two equivalent O(7)Th4 tetrahedra, corners with two equivalent O(4)YTh3 tetrahedra, corners with two equivalent O(9)YTh3 tetrahedra, corners with three equivalent O(10)Th4 tetrahedra,  an edgeedge with one O(3)Th4 tetrahedra,  an edgeedge with one O(6)Th4 tetrahedra,  an edgeedge with one O(7)Th4 tetrahedra,  an edgeedge with one O(2)YTh3 tetrahedra,  an edgeedge with one O(8)YTh3 tetrahedra, and  an edgeedge with one O(9)YTh3 tetrahedra. In the fifth O site, O(5) is bonded to one Th(3), one Th(5), and two equivalent Th(1) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(3)Th4 tetrahedra,  a cornercorner with one O(6)Th4 tetrahedra,  a cornercorner with one O(7)Th4 tetrahedra,  a cornercorner with one O(4)YTh3 tetrahedra,  a cornercorner with one O(8)YTh3 tetrahedra, corners with two equivalent O(10)Th4 tetrahedra, corners with three equivalent O(1)Th4 tetrahedra, corners with three equivalent O(2)YTh3 tetrahedra, corners with three equivalent O(9)YTh3 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra,  an edgeedge with one O(3)Th4 tetrahedra,  an edgeedge with one O(5)Th4 tetrahedra,  an edgeedge with one O(6)Th4 tetrahedra,  an edgeedge with one O(7)Th4 tetrahedra, and  an edgeedge with one O(8)YTh3 tetrahedra. In the sixth O site, O(6) is bonded to one Th(2), one Th(3), and two equivalent Th(5) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(1)Th4 tetrahedra,  a cornercorner with one O(5)Th4 tetrahedra,  a cornercorner with one O(6)Th4 tetrahedra,  a cornercorner with one O(8)YTh3 tetrahedra,  a cornercorner with one O(9)YTh3 tetrahedra, corners with two equivalent O(3)Th4 tetrahedra, corners with two equivalent O(7)Th4 tetrahedra, corners with two equivalent O(2)YTh3 tetrahedra, corners with two equivalent O(4)YTh3 tetrahedra, corners with three equivalent O(10)Th4 tetrahedra,  an edgeedge with one O(5)Th4 tetrahedra,  an edgeedge with one O(6)Th4 tetrahedra,  an edgeedge with one O(7)Th4 tetrahedra,  an edgeedge with one O(2)YTh3 tetrahedra,  an edgeedge with one O(4)YTh3 tetrahedra, and  an edgeedge with one O(9)YTh3 tetrahedra. In the seventh O site, O(7) is bonded to one Th(1), one Th(2), one Th(4), and one Th(5) atom to form OTh4 tetrahedra that share  a cornercorner with one O(1)Th4 tetrahedra,  a cornercorner with one O(10)Th4 tetrahedra,  a cornercorner with one O(5)Th4 tetrahedra,  a cornercorner with one O(7)Th4 tetrahedra,  a cornercorner with one O(2)YTh3 tetrahedra,  a cornercorner with one O(9)YTh3 tetrahedra, corners with two equivalent O(6)Th4 tetrahedra, corners with two equivalent O(4)YTh3 tetrahedra, corners with two equivalent O(8)YTh3 tetrahedra, corners with four equivalent O(3)Th4 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra,  an edgeedge with one O(10)Th4 tetrahedra,  an edgeedge with one O(5)Th4 tetrahedra,  an edgeedge with one O(6)Th4 tetrahedra,  an edgeedge with one O(4)YTh3 tetrahedra, and  an edgeedge with one O(9)YTh3 tetrahedra. In the eighth O site, O(8) is bonded to one Th(1), one Th(3), one Th(4), and one Y(1) atom to form OYTh3 tetrahedra that share  a cornercorner with one O(10)Th4 tetrahedra,  a cornercorner with one O(3)Th4 tetrahedra,  a cornercorner with one O(5)Th4 tetrahedra,  a cornercorner with one O(6)Th4 tetrahedra,  a cornercorner with one O(4)YTh3 tetrahedra,  a cornercorner with one O(8)YTh3 tetrahedra, corners with two equivalent O(7)Th4 tetrahedra, corners with two equivalent O(2)YTh3 tetrahedra, corners with two equivalent O(9)YTh3 tetrahedra, corners with four equivalent O(1)Th4 tetrahedra,  an edgeedge with one O(10)Th4 tetrahedra,  an edgeedge with one O(3)Th4 tetrahedra,  an edgeedge with one O(5)Th4 tetrahedra,  an edgeedge with one O(2)YTh3 tetrahedra,  an edgeedge with one O(4)YTh3 tetrahedra, and  an edgeedge with one O(9)YTh3 tetrahedra. In the ninth O site, O(9) is bonded to one Th(1), one Th(2), one Th(3), and one Y(1) atom to form OYTh3 tetrahedra that share  a cornercorner with one O(1)Th4 tetrahedra,  a cornercorner with one O(10)Th4 tetrahedra,  a cornercorner with one O(3)Th4 tetrahedra,  a cornercorner with one O(6)Th4 tetrahedra,  a cornercorner with one O(7)Th4 tetrahedra, corners with two equivalent O(2)YTh3 tetrahedra, corners with two equivalent O(4)YTh3 tetrahedra, corners with two equivalent O(8)YTh3 tetrahedra, corners with two equivalent O(9)YTh3 tetrahedra, corners with three equivalent O(5)Th4 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra,  an edgeedge with one O(6)Th4 tetrahedra,  an edgeedge with one O(7)Th4 tetrahedra,  an edgeedge with one O(2)YTh3 tetrahedra,  an edgeedge with one O(4)YTh3 tetrahedra, and  an edgeedge with one O(8)YTh3 tetrahedra. In the tenth O site, O(10) is bonded to one Th(3), one Th(5), and two equivalent Th(4) atoms to form OTh4 tetrahedra that share  a cornercorner with one O(1)Th4 tetrahedra,  a cornercorner with one O(7)Th4 tetrahedra,  a cornercorner with one O(2)YTh3 tetrahedra,  a cornercorner with one O(8)YTh3 tetrahedra,  a cornercorner with one O(9)YTh3 tetrahedra, corners with two equivalent O(5)Th4 tetrahedra, corners with three equivalent O(3)Th4 tetrahedra, corners with three equivalent O(6)Th4 tetrahedra, corners with three equivalent O(4)YTh3 tetrahedra,  an edgeedge with one O(1)Th4 tetrahedra,  an edgeedge with one O(10)Th4 tetrahedra,  an edgeedge with one O(3)Th4 tetrahedra,  an edgeedge with one O(7)Th4 tetrahedra,  an edgeedge with one O(2)YTh3 tetrahedra, and  an edgeedge with one O(8)YTh3 tetrahedra.