U4ZrO10 is Fluorite-derived structured and crystallizes in the trigonal R-3m space group. There are two inequivalent U sites. In the first U site, U(1) is bonded in a body-centered cubic geometry to one O(3), one O(4), three equivalent O(1), and three equivalent O(5) atoms. In the second U site, U(2) is bonded in a body-centered cubic geometry to one O(5), three equivalent O(3), and four equivalent O(2) atoms. Zr(1) is bonded in a body-centered cubic geometry to two equivalent O(1) and six equivalent O(4) atoms. There are five inequivalent O sites. In the first O site, O(1) is bonded to three equivalent U(1) and one Zr(1) atom to form OZrU3 tetrahedra that share corners with three equivalent O(3)U4 tetrahedra, corners with three equivalent O(5)U4 tetrahedra, corners with three equivalent O(4)Zr3U tetrahedra, corners with seven equivalent O(1)ZrU3 tetrahedra, edges with three equivalent O(5)U4 tetrahedra, and edges with three equivalent O(4)Zr3U tetrahedra. In the second O site, O(2) is bonded to four equivalent U(2) atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the third O site, O(3) is bonded to one U(1) and three equivalent U(2) atoms to form OU4 tetrahedra that share  a cornercorner with one O(4)Zr3U tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with six equivalent O(2)U4 tetrahedra, corners with six equivalent O(3)U4 tetrahedra, edges with three equivalent O(2)U4 tetrahedra, and edges with three equivalent O(5)U4 tetrahedra. In the fourth O site, O(4) is bonded to one U(1) and three equivalent Zr(1) atoms to form OZr3U tetrahedra that share  a cornercorner with one O(3)U4 tetrahedra, corners with three equivalent O(5)U4 tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with nine equivalent O(4)Zr3U tetrahedra, edges with three equivalent O(4)Zr3U tetrahedra, and edges with three equivalent O(1)ZrU3 tetrahedra. In the fifth O site, O(5) is bonded to one U(2) and three equivalent U(1) atoms to form OU4 tetrahedra that share corners with three equivalent O(4)Zr3U tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with four equivalent O(2)U4 tetrahedra, corners with six equivalent O(5)U4 tetrahedra, edges with three equivalent O(3)U4 tetrahedra, and edges with three equivalent O(1)ZrU3 tetrahedra.
U4ZrO10 is Fluorite-derived structured and crystallizes in the trigonal R-3m space group. There are two inequivalent U sites. In the first U site, U(1) is bonded in a body-centered cubic geometry to one O(3), one O(4), three equivalent O(1), and three equivalent O(5) atoms. The U(1)-O(3) bond length is 2.35 Å. The U(1)-O(4) bond length is 2.34 Å. All U(1)-O(1) bond lengths are 2.34 Å. All U(1)-O(5) bond lengths are 2.33 Å. In the second U site, U(2) is bonded in a body-centered cubic geometry to one O(5), three equivalent O(3), and four equivalent O(2) atoms. The U(2)-O(5) bond length is 2.35 Å. All U(2)-O(3) bond lengths are 2.33 Å. There are three shorter (2.33 Å) and one longer (2.35 Å) U(2)-O(2) bond length. Zr(1) is bonded in a body-centered cubic geometry to two equivalent O(1) and six equivalent O(4) atoms. Both Zr(1)-O(1) bond lengths are 2.22 Å. All Zr(1)-O(4) bond lengths are 2.30 Å. There are five inequivalent O sites. In the first O site, O(1) is bonded to three equivalent U(1) and one Zr(1) atom to form OZrU3 tetrahedra that share corners with three equivalent O(3)U4 tetrahedra, corners with three equivalent O(5)U4 tetrahedra, corners with three equivalent O(4)Zr3U tetrahedra, corners with seven equivalent O(1)ZrU3 tetrahedra, edges with three equivalent O(5)U4 tetrahedra, and edges with three equivalent O(4)Zr3U tetrahedra. In the second O site, O(2) is bonded to four equivalent U(2) atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the third O site, O(3) is bonded to one U(1) and three equivalent U(2) atoms to form OU4 tetrahedra that share  a cornercorner with one O(4)Zr3U tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with six equivalent O(2)U4 tetrahedra, corners with six equivalent O(3)U4 tetrahedra, edges with three equivalent O(2)U4 tetrahedra, and edges with three equivalent O(5)U4 tetrahedra. In the fourth O site, O(4) is bonded to one U(1) and three equivalent Zr(1) atoms to form OZr3U tetrahedra that share  a cornercorner with one O(3)U4 tetrahedra, corners with three equivalent O(5)U4 tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with nine equivalent O(4)Zr3U tetrahedra, edges with three equivalent O(4)Zr3U tetrahedra, and edges with three equivalent O(1)ZrU3 tetrahedra. In the fifth O site, O(5) is bonded to one U(2) and three equivalent U(1) atoms to form OU4 tetrahedra that share corners with three equivalent O(4)Zr3U tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with four equivalent O(2)U4 tetrahedra, corners with six equivalent O(5)U4 tetrahedra, edges with three equivalent O(3)U4 tetrahedra, and edges with three equivalent O(1)ZrU3 tetrahedra.