U4ZrO10 is Fluorite-derived structured and crystallizes in the triclinic P1 space group. There are eight inequivalent U sites. In the first U site, U(1) is bonded in a body-centered cubic geometry to one O(2), one O(3), one O(7), one O(9), two equivalent O(1), and two equivalent O(6) atoms. In the second U site, U(2) is bonded in a body-centered cubic geometry to one O(1), one O(13), one O(4), one O(6), two equivalent O(7), and two equivalent O(9) atoms. In the third U site, U(3) is bonded in a body-centered cubic geometry to one O(11), one O(18), one O(5), one O(8), two equivalent O(10), and two equivalent O(16) atoms. In the fourth U site, U(4) is bonded in a body-centered cubic geometry to one O(10), one O(14), one O(15), one O(19), two equivalent O(11), and two equivalent O(17) atoms. In the fifth U site, U(5) is bonded in a body-centered cubic geometry to one O(12), one O(16), one O(3), one O(9), two equivalent O(13), and two equivalent O(5) atoms. In the sixth U site, U(6) is bonded in a body-centered cubic geometry to one O(10), one O(12), one O(14), one O(16), two equivalent O(18), and two equivalent O(8) atoms. In the seventh U site, U(7) is bonded in a body-centered cubic geometry to one O(11), one O(17), one O(18), one O(20), two equivalent O(14), and two equivalent O(19) atoms. In the eighth U site, U(8) is bonded in a body-centered cubic geometry to one O(17), one O(2), one O(20), one O(7), two equivalent O(15), and two equivalent O(4) atoms. There are two inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a body-centered cubic geometry to one O(13), one O(5), one O(6), one O(8), two equivalent O(12), and two equivalent O(3) atoms. In the second Zr site, Zr(2) is bonded in a body-centered cubic geometry to one O(1), one O(15), one O(19), one O(4), two equivalent O(2), and two equivalent O(20) atoms. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one U(2), two equivalent U(1), and one Zr(2) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(13)ZrU3 tetrahedra,  a cornercorner with one O(15)ZrU3 tetrahedra,  a cornercorner with one O(19)ZrU3 tetrahedra, corners with two equivalent O(20)Zr2U2 tetrahedra, corners with two equivalent O(3)Zr2U2 tetrahedra, corners with two equivalent O(1)ZrU3 tetrahedra, corners with three equivalent O(6)ZrU3 tetrahedra, corners with four equivalent O(7)U4 tetrahedra,  an edgeedge with one O(4)ZrU3 tetrahedra,  an edgeedge with one O(6)ZrU3 tetrahedra, edges with two equivalent O(9)U4 tetrahedra, and edges with two equivalent O(2)Zr2U2 tetrahedra. In the second O site, O(2) is bonded to one U(1), one U(8), and two equivalent Zr(2) atoms to form OZr2U2 tetrahedra that share  a cornercorner with one O(17)U4 tetrahedra,  a cornercorner with one O(9)U4 tetrahedra,  a cornercorner with one O(3)Zr2U2 tetrahedra, corners with two equivalent O(2)Zr2U2 tetrahedra, corners with two equivalent O(19)ZrU3 tetrahedra, corners with two equivalent O(6)ZrU3 tetrahedra, corners with three equivalent O(20)Zr2U2 tetrahedra, corners with four equivalent O(4)ZrU3 tetrahedra,  an edgeedge with one O(7)U4 tetrahedra,  an edgeedge with one O(20)Zr2U2 tetrahedra, edges with two equivalent O(1)ZrU3 tetrahedra, and edges with two equivalent O(15)ZrU3 tetrahedra. In the third O site, O(3) is bonded to one U(1), one U(5), and two equivalent Zr(1) atoms to form OZr2U2 tetrahedra that share  a cornercorner with one O(16)U4 tetrahedra,  a cornercorner with one O(7)U4 tetrahedra,  a cornercorner with one O(2)Zr2U2 tetrahedra, corners with two equivalent O(3)Zr2U2 tetrahedra, corners with two equivalent O(1)ZrU3 tetrahedra, corners with two equivalent O(8)ZrU3 tetrahedra, corners with three equivalent O(12)Zr2U2 tetrahedra, corners with four equivalent O(13)ZrU3 tetrahedra,  an edgeedge with one O(9)U4 tetrahedra,  an edgeedge with one O(12)Zr2U2 tetrahedra, edges with two equivalent O(5)ZrU3 tetrahedra, and edges with two equivalent O(6)ZrU3 tetrahedra. In the fourth O site, O(4) is bonded to one U(2), two equivalent U(8), and one Zr(2) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(13)ZrU3 tetrahedra,  a cornercorner with one O(19)ZrU3 tetrahedra,  a cornercorner with one O(6)ZrU3 tetrahedra, corners with two equivalent O(17)U4 tetrahedra, corners with two equivalent O(9)U4 tetrahedra, corners with two equivalent O(4)ZrU3 tetrahedra, corners with three equivalent O(15)ZrU3 tetrahedra, corners with four equivalent O(2)Zr2U2 tetrahedra,  an edgeedge with one O(1)ZrU3 tetrahedra,  an edgeedge with one O(15)ZrU3 tetrahedra, edges with two equivalent O(7)U4 tetrahedra, and edges with two equivalent O(20)Zr2U2 tetrahedra. In the fifth O site, O(5) is bonded to one U(3), two equivalent U(5), and one Zr(1) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(11)U4 tetrahedra,  a cornercorner with one O(18)U4 tetrahedra,  a cornercorner with one O(6)ZrU3 tetrahedra, corners with two equivalent O(10)U4 tetrahedra, corners with two equivalent O(9)U4 tetrahedra, corners with two equivalent O(5)ZrU3 tetrahedra, corners with three equivalent O(13)ZrU3 tetrahedra, corners with four equivalent O(12)Zr2U2 tetrahedra,  an edgeedge with one O(13)ZrU3 tetrahedra,  an edgeedge with one O(8)ZrU3 tetrahedra, edges with two equivalent O(16)U4 tetrahedra, and edges with two equivalent O(3)Zr2U2 tetrahedra. In the sixth O site, O(6) is bonded to one U(2), two equivalent U(1), and one Zr(1) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(4)ZrU3 tetrahedra,  a cornercorner with one O(5)ZrU3 tetrahedra,  a cornercorner with one O(8)ZrU3 tetrahedra, corners with two equivalent O(12)Zr2U2 tetrahedra, corners with two equivalent O(2)Zr2U2 tetrahedra, corners with two equivalent O(6)ZrU3 tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with four equivalent O(9)U4 tetrahedra,  an edgeedge with one O(1)ZrU3 tetrahedra,  an edgeedge with one O(13)ZrU3 tetrahedra, edges with two equivalent O(7)U4 tetrahedra, and edges with two equivalent O(3)Zr2U2 tetrahedra. In the seventh O site, O(7) is bonded to one U(1), one U(8), and two equivalent U(2) atoms to form OU4 tetrahedra that share  a cornercorner with one O(17)U4 tetrahedra,  a cornercorner with one O(20)Zr2U2 tetrahedra,  a cornercorner with one O(3)Zr2U2 tetrahedra, corners with two equivalent O(7)U4 tetrahedra, corners with two equivalent O(13)ZrU3 tetrahedra, corners with two equivalent O(15)ZrU3 tetrahedra, corners with three equivalent O(9)U4 tetrahedra, corners with four equivalent O(1)ZrU3 tetrahedra,  an edgeedge with one O(9)U4 tetrahedra,  an edgeedge with one O(2)Zr2U2 tetrahedra, edges with two equivalent O(4)ZrU3 tetrahedra, and edges with two equivalent O(6)ZrU3 tetrahedra. In the eighth O site, O(8) is bonded to one U(3), two equivalent U(6), and one Zr(1) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(11)U4 tetrahedra,  a cornercorner with one O(13)ZrU3 tetrahedra,  a cornercorner with one O(6)ZrU3 tetrahedra, corners with two equivalent O(14)U4 tetrahedra, corners with two equivalent O(3)Zr2U2 tetrahedra, corners with two equivalent O(8)ZrU3 tetrahedra, corners with three equivalent O(18)U4 tetrahedra, corners with four equivalent O(16)U4 tetrahedra,  an edgeedge with one O(18)U4 tetrahedra,  an edgeedge with one O(5)ZrU3 tetrahedra, edges with two equivalent O(10)U4 tetrahedra, and edges with two equivalent O(12)Zr2U2 tetrahedra. In the ninth O site, O(9) is bonded to one U(1), one U(5), and two equivalent U(2) atoms to form OU4 tetrahedra that share  a cornercorner with one O(16)U4 tetrahedra,  a cornercorner with one O(12)Zr2U2 tetrahedra,  a cornercorner with one O(2)Zr2U2 tetrahedra, corners with two equivalent O(9)U4 tetrahedra, corners with two equivalent O(4)ZrU3 tetrahedra, corners with two equivalent O(5)ZrU3 tetrahedra, corners with three equivalent O(7)U4 tetrahedra, corners with four equivalent O(6)ZrU3 tetrahedra,  an edgeedge with one O(7)U4 tetrahedra,  an edgeedge with one O(3)Zr2U2 tetrahedra, edges with two equivalent O(1)ZrU3 tetrahedra, and edges with two equivalent O(13)ZrU3 tetrahedra. In the tenth O site, O(10) is bonded to one U(4), one U(6), and two equivalent U(3) atoms to form OU4 tetrahedra that share  a cornercorner with one O(12)Zr2U2 tetrahedra,  a cornercorner with one O(15)ZrU3 tetrahedra,  a cornercorner with one O(19)ZrU3 tetrahedra, corners with two equivalent O(10)U4 tetrahedra, corners with two equivalent O(17)U4 tetrahedra, corners with two equivalent O(5)ZrU3 tetrahedra, corners with three equivalent O(16)U4 tetrahedra, corners with four equivalent O(18)U4 tetrahedra,  an edgeedge with one O(14)U4 tetrahedra,  an edgeedge with one O(16)U4 tetrahedra, edges with two equivalent O(11)U4 tetrahedra, and edges with two equivalent O(8)ZrU3 tetrahedra. In the eleventh O site, O(11) is bonded to one U(3), one U(7), and two equivalent U(4) atoms to form OU4 tetrahedra that share  a cornercorner with one O(20)Zr2U2 tetrahedra,  a cornercorner with one O(5)ZrU3 tetrahedra,  a cornercorner with one O(8)ZrU3 tetrahedra, corners with two equivalent O(11)U4 tetrahedra, corners with two equivalent O(16)U4 tetrahedra, corners with two equivalent O(15)ZrU3 tetrahedra, corners with three equivalent O(17)U4 tetrahedra, corners with four equivalent O(14)U4 tetrahedra,  an edgeedge with one O(17)U4 tetrahedra,  an edgeedge with one O(18)U4 tetrahedra, edges with two equivalent O(10)U4 tetrahedra, and edges with two equivalent O(19)ZrU3 tetrahedra. In the twelfth O site, O(12) is bonded to one U(5), one U(6), and two equivalent Zr(1) atoms to form OZr2U2 tetrahedra that share  a cornercorner with one O(10)U4 tetrahedra,  a cornercorner with one O(14)U4 tetrahedra,  a cornercorner with one O(9)U4 tetrahedra, corners with two equivalent O(18)U4 tetrahedra, corners with two equivalent O(12)Zr2U2 tetrahedra, corners with two equivalent O(6)ZrU3 tetrahedra, corners with three equivalent O(3)Zr2U2 tetrahedra, corners with four equivalent O(5)ZrU3 tetrahedra,  an edgeedge with one O(16)U4 tetrahedra,  an edgeedge with one O(3)Zr2U2 tetrahedra, edges with two equivalent O(13)ZrU3 tetrahedra, and edges with two equivalent O(8)ZrU3 tetrahedra. In the thirteenth O site, O(13) is bonded to one U(2), two equivalent U(5), and one Zr(1) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(1)ZrU3 tetrahedra,  a cornercorner with one O(4)ZrU3 tetrahedra,  a cornercorner with one O(8)ZrU3 tetrahedra, corners with two equivalent O(16)U4 tetrahedra, corners with two equivalent O(7)U4 tetrahedra, corners with two equivalent O(13)ZrU3 tetrahedra, corners with three equivalent O(5)ZrU3 tetrahedra, corners with four equivalent O(3)Zr2U2 tetrahedra,  an edgeedge with one O(5)ZrU3 tetrahedra,  an edgeedge with one O(6)ZrU3 tetrahedra, edges with two equivalent O(9)U4 tetrahedra, and edges with two equivalent O(12)Zr2U2 tetrahedra. In the fourteenth O site, O(14) is bonded to one U(4), one U(6), and two equivalent U(7) atoms to form OU4 tetrahedra that share  a cornercorner with one O(16)U4 tetrahedra,  a cornercorner with one O(12)Zr2U2 tetrahedra,  a cornercorner with one O(15)ZrU3 tetrahedra, corners with two equivalent O(14)U4 tetrahedra, corners with two equivalent O(20)Zr2U2 tetrahedra, corners with two equivalent O(8)ZrU3 tetrahedra, corners with three equivalent O(19)ZrU3 tetrahedra, corners with four equivalent O(11)U4 tetrahedra,  an edgeedge with one O(10)U4 tetrahedra,  an edgeedge with one O(19)ZrU3 tetrahedra, edges with two equivalent O(17)U4 tetrahedra, and edges with two equivalent O(18)U4 tetrahedra. In the fifteenth O site, O(15) is bonded to one U(4), two equivalent U(8), and one Zr(2) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(10)U4 tetrahedra,  a cornercorner with one O(14)U4 tetrahedra,  a cornercorner with one O(1)ZrU3 tetrahedra, corners with two equivalent O(11)U4 tetrahedra, corners with two equivalent O(7)U4 tetrahedra, corners with two equivalent O(15)ZrU3 tetrahedra, corners with three equivalent O(4)ZrU3 tetrahedra, corners with four equivalent O(20)Zr2U2 tetrahedra,  an edgeedge with one O(19)ZrU3 tetrahedra,  an edgeedge with one O(4)ZrU3 tetrahedra, edges with two equivalent O(17)U4 tetrahedra, and edges with two equivalent O(2)Zr2U2 tetrahedra. In the sixteenth O site, O(16) is bonded to one U(5), one U(6), and two equivalent U(3) atoms to form OU4 tetrahedra that share  a cornercorner with one O(14)U4 tetrahedra,  a cornercorner with one O(9)U4 tetrahedra,  a cornercorner with one O(3)Zr2U2 tetrahedra, corners with two equivalent O(11)U4 tetrahedra, corners with two equivalent O(16)U4 tetrahedra, corners with two equivalent O(13)ZrU3 tetrahedra, corners with three equivalent O(10)U4 tetrahedra, corners with four equivalent O(8)ZrU3 tetrahedra,  an edgeedge with one O(10)U4 tetrahedra,  an edgeedge with one O(12)Zr2U2 tetrahedra, edges with two equivalent O(18)U4 tetrahedra, and edges with two equivalent O(5)ZrU3 tetrahedra. In the seventeenth O site, O(17) is bonded to one U(7), one U(8), and two equivalent U(4) atoms to form OU4 tetrahedra that share  a cornercorner with one O(18)U4 tetrahedra,  a cornercorner with one O(7)U4 tetrahedra,  a cornercorner with one O(2)Zr2U2 tetrahedra, corners with two equivalent O(10)U4 tetrahedra, corners with two equivalent O(17)U4 tetrahedra, corners with two equivalent O(4)ZrU3 tetrahedra, corners with three equivalent O(11)U4 tetrahedra, corners with four equivalent O(19)ZrU3 tetrahedra,  an edgeedge with one O(11)U4 tetrahedra,  an edgeedge with one O(20)Zr2U2 tetrahedra, edges with two equivalent O(14)U4 tetrahedra, and edges with two equivalent O(15)ZrU3 tetrahedra. In the eighteenth O site, O(18) is bonded to one U(3), one U(7), and two equivalent U(6) atoms to form OU4 tetrahedra that share  a cornercorner with one O(17)U4 tetrahedra,  a cornercorner with one O(20)Zr2U2 tetrahedra,  a cornercorner with one O(5)ZrU3 tetrahedra, corners with two equivalent O(18)U4 tetrahedra, corners with two equivalent O(12)Zr2U2 tetrahedra, corners with two equivalent O(19)ZrU3 tetrahedra, corners with three equivalent O(8)ZrU3 tetrahedra, corners with four equivalent O(10)U4 tetrahedra,  an edgeedge with one O(11)U4 tetrahedra,  an edgeedge with one O(8)ZrU3 tetrahedra, edges with two equivalent O(14)U4 tetrahedra, and edges with two equivalent O(16)U4 tetrahedra. In the nineteenth O site, O(19) is bonded to one U(4), two equivalent U(7), and one Zr(2) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(10)U4 tetrahedra,  a cornercorner with one O(1)ZrU3 tetrahedra,  a cornercorner with one O(4)ZrU3 tetrahedra, corners with two equivalent O(18)U4 tetrahedra, corners with two equivalent O(2)Zr2U2 tetrahedra, corners with two equivalent O(19)ZrU3 tetrahedra, corners with three equivalent O(14)U4 tetrahedra, corners with four equivalent O(17)U4 tetrahedra,  an edgeedge with one O(14)U4 tetrahedra,  an edgeedge with one O(15)ZrU3 tetrahedra, edges with two equivalent O(11)U4 tetrahedra, and edges with two equivalent O(20)Zr2U2 tetrahedra. In the twentieth O site, O(20) is bonded to one U(7), one U(8), and two equivalent Zr(2) atoms to form OZr2U2 tetrahedra that share  a cornercorner with one O(11)U4 tetrahedra,  a cornercorner with one O(18)U4 tetrahedra,  a cornercorner with one O(7)U4 tetrahedra, corners with two equivalent O(14)U4 tetrahedra, corners with two equivalent O(20)Zr2U2 tetrahedra, corners with two equivalent O(1)ZrU3 tetrahedra, corners with three equivalent O(2)Zr2U2 tetrahedra, corners with four equivalent O(15)ZrU3 tetrahedra,  an edgeedge with one O(17)U4 tetrahedra,  an edgeedge with one O(2)Zr2U2 tetrahedra, edges with two equivalent O(19)ZrU3 tetrahedra, and edges with two equivalent O(4)ZrU3 tetrahedra.
U4ZrO10 is Fluorite-derived structured and crystallizes in the triclinic P1 space group. There are eight inequivalent U sites. In the first U site, U(1) is bonded in a body-centered cubic geometry to one O(2), one O(3), one O(7), one O(9), two equivalent O(1), and two equivalent O(6) atoms. The U(1)-O(2) bond length is 2.35 Å. The U(1)-O(3) bond length is 2.34 Å. The U(1)-O(7) bond length is 2.31 Å. The U(1)-O(9) bond length is 2.32 Å. There is one shorter (2.33 Å) and one longer (2.34 Å) U(1)-O(1) bond length. There is one shorter (2.34 Å) and one longer (2.35 Å) U(1)-O(6) bond length. In the second U site, U(2) is bonded in a body-centered cubic geometry to one O(1), one O(13), one O(4), one O(6), two equivalent O(7), and two equivalent O(9) atoms. The U(2)-O(1) bond length is 2.36 Å. The U(2)-O(13) bond length is 2.35 Å. The U(2)-O(4) bond length is 2.35 Å. The U(2)-O(6) bond length is 2.35 Å. There is one shorter (2.32 Å) and one longer (2.34 Å) U(2)-O(7) bond length. Both U(2)-O(9) bond lengths are 2.33 Å. In the third U site, U(3) is bonded in a body-centered cubic geometry to one O(11), one O(18), one O(5), one O(8), two equivalent O(10), and two equivalent O(16) atoms. The U(3)-O(11) bond length is 2.35 Å. The U(3)-O(18) bond length is 2.33 Å. The U(3)-O(5) bond length is 2.35 Å. The U(3)-O(8) bond length is 2.33 Å. Both U(3)-O(10) bond lengths are 2.33 Å. There is one shorter (2.33 Å) and one longer (2.34 Å) U(3)-O(16) bond length. In the fourth U site, U(4) is bonded in a body-centered cubic geometry to one O(10), one O(14), one O(15), one O(19), two equivalent O(11), and two equivalent O(17) atoms. The U(4)-O(10) bond length is 2.35 Å. The U(4)-O(14) bond length is 2.33 Å. The U(4)-O(15) bond length is 2.36 Å. The U(4)-O(19) bond length is 2.33 Å. There is one shorter (2.32 Å) and one longer (2.34 Å) U(4)-O(11) bond length. Both U(4)-O(17) bond lengths are 2.34 Å. In the fifth U site, U(5) is bonded in a body-centered cubic geometry to one O(12), one O(16), one O(3), one O(9), two equivalent O(13), and two equivalent O(5) atoms. The U(5)-O(12) bond length is 2.35 Å. The U(5)-O(16) bond length is 2.29 Å. The U(5)-O(3) bond length is 2.36 Å. The U(5)-O(9) bond length is 2.31 Å. There is one shorter (2.33 Å) and one longer (2.34 Å) U(5)-O(13) bond length. There is one shorter (2.33 Å) and one longer (2.34 Å) U(5)-O(5) bond length. In the sixth U site, U(6) is bonded in a body-centered cubic geometry to one O(10), one O(12), one O(14), one O(16), two equivalent O(18), and two equivalent O(8) atoms. The U(6)-O(10) bond length is 2.32 Å. The U(6)-O(12) bond length is 2.34 Å. The U(6)-O(14) bond length is 2.37 Å. The U(6)-O(16) bond length is 2.33 Å. Both U(6)-O(18) bond lengths are 2.33 Å. There is one shorter (2.33 Å) and one longer (2.35 Å) U(6)-O(8) bond length. In the seventh U site, U(7) is bonded in a body-centered cubic geometry to one O(11), one O(17), one O(18), one O(20), two equivalent O(14), and two equivalent O(19) atoms. The U(7)-O(11) bond length is 2.32 Å. The U(7)-O(17) bond length is 2.32 Å. The U(7)-O(18) bond length is 2.38 Å. The U(7)-O(20) bond length is 2.34 Å. There is one shorter (2.33 Å) and one longer (2.34 Å) U(7)-O(14) bond length. Both U(7)-O(19) bond lengths are 2.34 Å. In the eighth U site, U(8) is bonded in a body-centered cubic geometry to one O(17), one O(2), one O(20), one O(7), two equivalent O(15), and two equivalent O(4) atoms. The U(8)-O(17) bond length is 2.30 Å. The U(8)-O(2) bond length is 2.36 Å. The U(8)-O(20) bond length is 2.36 Å. The U(8)-O(7) bond length is 2.31 Å. Both U(8)-O(15) bond lengths are 2.34 Å. There is one shorter (2.33 Å) and one longer (2.34 Å) U(8)-O(4) bond length. There are two inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a body-centered cubic geometry to one O(13), one O(5), one O(6), one O(8), two equivalent O(12), and two equivalent O(3) atoms. The Zr(1)-O(13) bond length is 2.26 Å. The Zr(1)-O(5) bond length is 2.26 Å. The Zr(1)-O(6) bond length is 2.24 Å. The Zr(1)-O(8) bond length is 2.25 Å. There is one shorter (2.26 Å) and one longer (2.33 Å) Zr(1)-O(12) bond length. There is one shorter (2.28 Å) and one longer (2.31 Å) Zr(1)-O(3) bond length. In the second Zr site, Zr(2) is bonded in a body-centered cubic geometry to one O(1), one O(15), one O(19), one O(4), two equivalent O(2), and two equivalent O(20) atoms. The Zr(2)-O(1) bond length is 2.27 Å. The Zr(2)-O(15) bond length is 2.24 Å. The Zr(2)-O(19) bond length is 2.25 Å. The Zr(2)-O(4) bond length is 2.27 Å. Both Zr(2)-O(2) bond lengths are 2.29 Å. There is one shorter (2.29 Å) and one longer (2.31 Å) Zr(2)-O(20) bond length. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one U(2), two equivalent U(1), and one Zr(2) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(13)ZrU3 tetrahedra,  a cornercorner with one O(15)ZrU3 tetrahedra,  a cornercorner with one O(19)ZrU3 tetrahedra, corners with two equivalent O(20)Zr2U2 tetrahedra, corners with two equivalent O(3)Zr2U2 tetrahedra, corners with two equivalent O(1)ZrU3 tetrahedra, corners with three equivalent O(6)ZrU3 tetrahedra, corners with four equivalent O(7)U4 tetrahedra,  an edgeedge with one O(4)ZrU3 tetrahedra,  an edgeedge with one O(6)ZrU3 tetrahedra, edges with two equivalent O(9)U4 tetrahedra, and edges with two equivalent O(2)Zr2U2 tetrahedra. In the second O site, O(2) is bonded to one U(1), one U(8), and two equivalent Zr(2) atoms to form OZr2U2 tetrahedra that share  a cornercorner with one O(17)U4 tetrahedra,  a cornercorner with one O(9)U4 tetrahedra,  a cornercorner with one O(3)Zr2U2 tetrahedra, corners with two equivalent O(2)Zr2U2 tetrahedra, corners with two equivalent O(19)ZrU3 tetrahedra, corners with two equivalent O(6)ZrU3 tetrahedra, corners with three equivalent O(20)Zr2U2 tetrahedra, corners with four equivalent O(4)ZrU3 tetrahedra,  an edgeedge with one O(7)U4 tetrahedra,  an edgeedge with one O(20)Zr2U2 tetrahedra, edges with two equivalent O(1)ZrU3 tetrahedra, and edges with two equivalent O(15)ZrU3 tetrahedra. In the third O site, O(3) is bonded to one U(1), one U(5), and two equivalent Zr(1) atoms to form OZr2U2 tetrahedra that share  a cornercorner with one O(16)U4 tetrahedra,  a cornercorner with one O(7)U4 tetrahedra,  a cornercorner with one O(2)Zr2U2 tetrahedra, corners with two equivalent O(3)Zr2U2 tetrahedra, corners with two equivalent O(1)ZrU3 tetrahedra, corners with two equivalent O(8)ZrU3 tetrahedra, corners with three equivalent O(12)Zr2U2 tetrahedra, corners with four equivalent O(13)ZrU3 tetrahedra,  an edgeedge with one O(9)U4 tetrahedra,  an edgeedge with one O(12)Zr2U2 tetrahedra, edges with two equivalent O(5)ZrU3 tetrahedra, and edges with two equivalent O(6)ZrU3 tetrahedra. In the fourth O site, O(4) is bonded to one U(2), two equivalent U(8), and one Zr(2) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(13)ZrU3 tetrahedra,  a cornercorner with one O(19)ZrU3 tetrahedra,  a cornercorner with one O(6)ZrU3 tetrahedra, corners with two equivalent O(17)U4 tetrahedra, corners with two equivalent O(9)U4 tetrahedra, corners with two equivalent O(4)ZrU3 tetrahedra, corners with three equivalent O(15)ZrU3 tetrahedra, corners with four equivalent O(2)Zr2U2 tetrahedra,  an edgeedge with one O(1)ZrU3 tetrahedra,  an edgeedge with one O(15)ZrU3 tetrahedra, edges with two equivalent O(7)U4 tetrahedra, and edges with two equivalent O(20)Zr2U2 tetrahedra. In the fifth O site, O(5) is bonded to one U(3), two equivalent U(5), and one Zr(1) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(11)U4 tetrahedra,  a cornercorner with one O(18)U4 tetrahedra,  a cornercorner with one O(6)ZrU3 tetrahedra, corners with two equivalent O(10)U4 tetrahedra, corners with two equivalent O(9)U4 tetrahedra, corners with two equivalent O(5)ZrU3 tetrahedra, corners with three equivalent O(13)ZrU3 tetrahedra, corners with four equivalent O(12)Zr2U2 tetrahedra,  an edgeedge with one O(13)ZrU3 tetrahedra,  an edgeedge with one O(8)ZrU3 tetrahedra, edges with two equivalent O(16)U4 tetrahedra, and edges with two equivalent O(3)Zr2U2 tetrahedra. In the sixth O site, O(6) is bonded to one U(2), two equivalent U(1), and one Zr(1) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(4)ZrU3 tetrahedra,  a cornercorner with one O(5)ZrU3 tetrahedra,  a cornercorner with one O(8)ZrU3 tetrahedra, corners with two equivalent O(12)Zr2U2 tetrahedra, corners with two equivalent O(2)Zr2U2 tetrahedra, corners with two equivalent O(6)ZrU3 tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with four equivalent O(9)U4 tetrahedra,  an edgeedge with one O(1)ZrU3 tetrahedra,  an edgeedge with one O(13)ZrU3 tetrahedra, edges with two equivalent O(7)U4 tetrahedra, and edges with two equivalent O(3)Zr2U2 tetrahedra. In the seventh O site, O(7) is bonded to one U(1), one U(8), and two equivalent U(2) atoms to form OU4 tetrahedra that share  a cornercorner with one O(17)U4 tetrahedra,  a cornercorner with one O(20)Zr2U2 tetrahedra,  a cornercorner with one O(3)Zr2U2 tetrahedra, corners with two equivalent O(7)U4 tetrahedra, corners with two equivalent O(13)ZrU3 tetrahedra, corners with two equivalent O(15)ZrU3 tetrahedra, corners with three equivalent O(9)U4 tetrahedra, corners with four equivalent O(1)ZrU3 tetrahedra,  an edgeedge with one O(9)U4 tetrahedra,  an edgeedge with one O(2)Zr2U2 tetrahedra, edges with two equivalent O(4)ZrU3 tetrahedra, and edges with two equivalent O(6)ZrU3 tetrahedra. In the eighth O site, O(8) is bonded to one U(3), two equivalent U(6), and one Zr(1) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(11)U4 tetrahedra,  a cornercorner with one O(13)ZrU3 tetrahedra,  a cornercorner with one O(6)ZrU3 tetrahedra, corners with two equivalent O(14)U4 tetrahedra, corners with two equivalent O(3)Zr2U2 tetrahedra, corners with two equivalent O(8)ZrU3 tetrahedra, corners with three equivalent O(18)U4 tetrahedra, corners with four equivalent O(16)U4 tetrahedra,  an edgeedge with one O(18)U4 tetrahedra,  an edgeedge with one O(5)ZrU3 tetrahedra, edges with two equivalent O(10)U4 tetrahedra, and edges with two equivalent O(12)Zr2U2 tetrahedra. In the ninth O site, O(9) is bonded to one U(1), one U(5), and two equivalent U(2) atoms to form OU4 tetrahedra that share  a cornercorner with one O(16)U4 tetrahedra,  a cornercorner with one O(12)Zr2U2 tetrahedra,  a cornercorner with one O(2)Zr2U2 tetrahedra, corners with two equivalent O(9)U4 tetrahedra, corners with two equivalent O(4)ZrU3 tetrahedra, corners with two equivalent O(5)ZrU3 tetrahedra, corners with three equivalent O(7)U4 tetrahedra, corners with four equivalent O(6)ZrU3 tetrahedra,  an edgeedge with one O(7)U4 tetrahedra,  an edgeedge with one O(3)Zr2U2 tetrahedra, edges with two equivalent O(1)ZrU3 tetrahedra, and edges with two equivalent O(13)ZrU3 tetrahedra. In the tenth O site, O(10) is bonded to one U(4), one U(6), and two equivalent U(3) atoms to form OU4 tetrahedra that share  a cornercorner with one O(12)Zr2U2 tetrahedra,  a cornercorner with one O(15)ZrU3 tetrahedra,  a cornercorner with one O(19)ZrU3 tetrahedra, corners with two equivalent O(10)U4 tetrahedra, corners with two equivalent O(17)U4 tetrahedra, corners with two equivalent O(5)ZrU3 tetrahedra, corners with three equivalent O(16)U4 tetrahedra, corners with four equivalent O(18)U4 tetrahedra,  an edgeedge with one O(14)U4 tetrahedra,  an edgeedge with one O(16)U4 tetrahedra, edges with two equivalent O(11)U4 tetrahedra, and edges with two equivalent O(8)ZrU3 tetrahedra. In the eleventh O site, O(11) is bonded to one U(3), one U(7), and two equivalent U(4) atoms to form OU4 tetrahedra that share  a cornercorner with one O(20)Zr2U2 tetrahedra,  a cornercorner with one O(5)ZrU3 tetrahedra,  a cornercorner with one O(8)ZrU3 tetrahedra, corners with two equivalent O(11)U4 tetrahedra, corners with two equivalent O(16)U4 tetrahedra, corners with two equivalent O(15)ZrU3 tetrahedra, corners with three equivalent O(17)U4 tetrahedra, corners with four equivalent O(14)U4 tetrahedra,  an edgeedge with one O(17)U4 tetrahedra,  an edgeedge with one O(18)U4 tetrahedra, edges with two equivalent O(10)U4 tetrahedra, and edges with two equivalent O(19)ZrU3 tetrahedra. In the twelfth O site, O(12) is bonded to one U(5), one U(6), and two equivalent Zr(1) atoms to form OZr2U2 tetrahedra that share  a cornercorner with one O(10)U4 tetrahedra,  a cornercorner with one O(14)U4 tetrahedra,  a cornercorner with one O(9)U4 tetrahedra, corners with two equivalent O(18)U4 tetrahedra, corners with two equivalent O(12)Zr2U2 tetrahedra, corners with two equivalent O(6)ZrU3 tetrahedra, corners with three equivalent O(3)Zr2U2 tetrahedra, corners with four equivalent O(5)ZrU3 tetrahedra,  an edgeedge with one O(16)U4 tetrahedra,  an edgeedge with one O(3)Zr2U2 tetrahedra, edges with two equivalent O(13)ZrU3 tetrahedra, and edges with two equivalent O(8)ZrU3 tetrahedra. In the thirteenth O site, O(13) is bonded to one U(2), two equivalent U(5), and one Zr(1) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(1)ZrU3 tetrahedra,  a cornercorner with one O(4)ZrU3 tetrahedra,  a cornercorner with one O(8)ZrU3 tetrahedra, corners with two equivalent O(16)U4 tetrahedra, corners with two equivalent O(7)U4 tetrahedra, corners with two equivalent O(13)ZrU3 tetrahedra, corners with three equivalent O(5)ZrU3 tetrahedra, corners with four equivalent O(3)Zr2U2 tetrahedra,  an edgeedge with one O(5)ZrU3 tetrahedra,  an edgeedge with one O(6)ZrU3 tetrahedra, edges with two equivalent O(9)U4 tetrahedra, and edges with two equivalent O(12)Zr2U2 tetrahedra. In the fourteenth O site, O(14) is bonded to one U(4), one U(6), and two equivalent U(7) atoms to form OU4 tetrahedra that share  a cornercorner with one O(16)U4 tetrahedra,  a cornercorner with one O(12)Zr2U2 tetrahedra,  a cornercorner with one O(15)ZrU3 tetrahedra, corners with two equivalent O(14)U4 tetrahedra, corners with two equivalent O(20)Zr2U2 tetrahedra, corners with two equivalent O(8)ZrU3 tetrahedra, corners with three equivalent O(19)ZrU3 tetrahedra, corners with four equivalent O(11)U4 tetrahedra,  an edgeedge with one O(10)U4 tetrahedra,  an edgeedge with one O(19)ZrU3 tetrahedra, edges with two equivalent O(17)U4 tetrahedra, and edges with two equivalent O(18)U4 tetrahedra. In the fifteenth O site, O(15) is bonded to one U(4), two equivalent U(8), and one Zr(2) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(10)U4 tetrahedra,  a cornercorner with one O(14)U4 tetrahedra,  a cornercorner with one O(1)ZrU3 tetrahedra, corners with two equivalent O(11)U4 tetrahedra, corners with two equivalent O(7)U4 tetrahedra, corners with two equivalent O(15)ZrU3 tetrahedra, corners with three equivalent O(4)ZrU3 tetrahedra, corners with four equivalent O(20)Zr2U2 tetrahedra,  an edgeedge with one O(19)ZrU3 tetrahedra,  an edgeedge with one O(4)ZrU3 tetrahedra, edges with two equivalent O(17)U4 tetrahedra, and edges with two equivalent O(2)Zr2U2 tetrahedra. In the sixteenth O site, O(16) is bonded to one U(5), one U(6), and two equivalent U(3) atoms to form OU4 tetrahedra that share  a cornercorner with one O(14)U4 tetrahedra,  a cornercorner with one O(9)U4 tetrahedra,  a cornercorner with one O(3)Zr2U2 tetrahedra, corners with two equivalent O(11)U4 tetrahedra, corners with two equivalent O(16)U4 tetrahedra, corners with two equivalent O(13)ZrU3 tetrahedra, corners with three equivalent O(10)U4 tetrahedra, corners with four equivalent O(8)ZrU3 tetrahedra,  an edgeedge with one O(10)U4 tetrahedra,  an edgeedge with one O(12)Zr2U2 tetrahedra, edges with two equivalent O(18)U4 tetrahedra, and edges with two equivalent O(5)ZrU3 tetrahedra. In the seventeenth O site, O(17) is bonded to one U(7), one U(8), and two equivalent U(4) atoms to form OU4 tetrahedra that share  a cornercorner with one O(18)U4 tetrahedra,  a cornercorner with one O(7)U4 tetrahedra,  a cornercorner with one O(2)Zr2U2 tetrahedra, corners with two equivalent O(10)U4 tetrahedra, corners with two equivalent O(17)U4 tetrahedra, corners with two equivalent O(4)ZrU3 tetrahedra, corners with three equivalent O(11)U4 tetrahedra, corners with four equivalent O(19)ZrU3 tetrahedra,  an edgeedge with one O(11)U4 tetrahedra,  an edgeedge with one O(20)Zr2U2 tetrahedra, edges with two equivalent O(14)U4 tetrahedra, and edges with two equivalent O(15)ZrU3 tetrahedra. In the eighteenth O site, O(18) is bonded to one U(3), one U(7), and two equivalent U(6) atoms to form OU4 tetrahedra that share  a cornercorner with one O(17)U4 tetrahedra,  a cornercorner with one O(20)Zr2U2 tetrahedra,  a cornercorner with one O(5)ZrU3 tetrahedra, corners with two equivalent O(18)U4 tetrahedra, corners with two equivalent O(12)Zr2U2 tetrahedra, corners with two equivalent O(19)ZrU3 tetrahedra, corners with three equivalent O(8)ZrU3 tetrahedra, corners with four equivalent O(10)U4 tetrahedra,  an edgeedge with one O(11)U4 tetrahedra,  an edgeedge with one O(8)ZrU3 tetrahedra, edges with two equivalent O(14)U4 tetrahedra, and edges with two equivalent O(16)U4 tetrahedra. In the nineteenth O site, O(19) is bonded to one U(4), two equivalent U(7), and one Zr(2) atom to form OZrU3 tetrahedra that share  a cornercorner with one O(10)U4 tetrahedra,  a cornercorner with one O(1)ZrU3 tetrahedra,  a cornercorner with one O(4)ZrU3 tetrahedra, corners with two equivalent O(18)U4 tetrahedra, corners with two equivalent O(2)Zr2U2 tetrahedra, corners with two equivalent O(19)ZrU3 tetrahedra, corners with three equivalent O(14)U4 tetrahedra, corners with four equivalent O(17)U4 tetrahedra,  an edgeedge with one O(14)U4 tetrahedra,  an edgeedge with one O(15)ZrU3 tetrahedra, edges with two equivalent O(11)U4 tetrahedra, and edges with two equivalent O(20)Zr2U2 tetrahedra. In the twentieth O site, O(20) is bonded to one U(7), one U(8), and two equivalent Zr(2) atoms to form OZr2U2 tetrahedra that share  a cornercorner with one O(11)U4 tetrahedra,  a cornercorner with one O(18)U4 tetrahedra,  a cornercorner with one O(7)U4 tetrahedra, corners with two equivalent O(14)U4 tetrahedra, corners with two equivalent O(20)Zr2U2 tetrahedra, corners with two equivalent O(1)ZrU3 tetrahedra, corners with three equivalent O(2)Zr2U2 tetrahedra, corners with four equivalent O(15)ZrU3 tetrahedra,  an edgeedge with one O(17)U4 tetrahedra,  an edgeedge with one O(2)Zr2U2 tetrahedra, edges with two equivalent O(19)ZrU3 tetrahedra, and edges with two equivalent O(4)ZrU3 tetrahedra.