(Na2Lu2C2P4H4O13)2O2 crystallizes in the triclinic P-1 space group. The structure consists of one water atom inside a Na2Lu2C2P4H4O13 framework. In the Na2Lu2C2P4H4O13 framework, Na(1) is bonded in a 5-coordinate geometry to one O(2), one O(4), one O(6), and two equivalent O(8) atoms. Lu(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom to form LuO6 octahedra that share corners with three equivalent P(1)CO3 tetrahedra and corners with three equivalent P(2)CO3 tetrahedra. C(1) is bonded in a distorted tetrahedral geometry to one P(1), one P(2), one H(1), and one H(2) atom. There are two inequivalent P sites. In the first P site, P(1) is bonded to one C(1), one O(2), one O(3), and one O(4) atom to form PCO3 tetrahedra that share corners with three equivalent Lu(1)O6 octahedra and  a cornercorner with one P(2)CO3 tetrahedra. The corner-sharing octahedral tilt angles range from 20-48°. In the second P site, P(2) is bonded to one C(1), one O(1), one O(7), and one O(8) atom to form PCO3 tetrahedra that share corners with three equivalent Lu(1)O6 octahedra and  a cornercorner with one P(1)CO3 tetrahedra. The corner-sharing octahedral tilt angles range from 30-47°. There are two inequivalent H sites. In the first H site, H(1) is bonded in a single-bond geometry to one C(1) atom. In the second H site, H(2) is bonded in a single-bond geometry to one C(1) atom. There are seven inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to one Lu(1) and one P(2) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Na(1), one Lu(1), and one P(1) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Lu(1) and one P(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Na(1), one Lu(1), and one P(1) atom. In the fifth O site, O(6) is bonded in a linear geometry to two equivalent Na(1) atoms. In the sixth O site, O(7) is bonded in a bent 150 degrees geometry to one Lu(1) and one P(2) atom. In the seventh O site, O(8) is bonded in a 4-coordinate geometry to two equivalent Na(1), one Lu(1), and one P(2) atom.
(Na2Lu2C2P4H4O13)2O2 crystallizes in the triclinic P-1 space group. The structure consists of one water atom inside a Na2Lu2C2P4H4O13 framework. In the Na2Lu2C2P4H4O13 framework, Na(1) is bonded in a 5-coordinate geometry to one O(2), one O(4), one O(6), and two equivalent O(8) atoms. The Na(1)-O(2) bond length is 2.59 Å. The Na(1)-O(4) bond length is 2.32 Å. The Na(1)-O(6) bond length is 2.23 Å. There is one shorter (2.45 Å) and one longer (2.48 Å) Na(1)-O(8) bond length. Lu(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom to form LuO6 octahedra that share corners with three equivalent P(1)CO3 tetrahedra and corners with three equivalent P(2)CO3 tetrahedra. The Lu(1)-O(1) bond length is 2.20 Å. The Lu(1)-O(2) bond length is 2.23 Å. The Lu(1)-O(3) bond length is 2.16 Å. The Lu(1)-O(4) bond length is 2.29 Å. The Lu(1)-O(7) bond length is 2.18 Å. The Lu(1)-O(8) bond length is 2.23 Å. C(1) is bonded in a distorted tetrahedral geometry to one P(1), one P(2), one H(1), and one H(2) atom. The C(1)-P(1) bond length is 1.81 Å. The C(1)-P(2) bond length is 1.82 Å. The C(1)-H(1) bond length is 1.10 Å. The C(1)-H(2) bond length is 1.10 Å. There are two inequivalent P sites. In the first P site, P(1) is bonded to one C(1), one O(2), one O(3), and one O(4) atom to form PCO3 tetrahedra that share corners with three equivalent Lu(1)O6 octahedra and  a cornercorner with one P(2)CO3 tetrahedra. The corner-sharing octahedral tilt angles range from 20-48°. The P(1)-O(2) bond length is 1.55 Å. The P(1)-O(3) bond length is 1.53 Å. The P(1)-O(4) bond length is 1.54 Å. In the second P site, P(2) is bonded to one C(1), one O(1), one O(7), and one O(8) atom to form PCO3 tetrahedra that share corners with three equivalent Lu(1)O6 octahedra and  a cornercorner with one P(1)CO3 tetrahedra. The corner-sharing octahedral tilt angles range from 30-47°. The P(2)-O(1) bond length is 1.55 Å. The P(2)-O(7) bond length is 1.52 Å. The P(2)-O(8) bond length is 1.56 Å. There are two inequivalent H sites. In the first H site, H(1) is bonded in a single-bond geometry to one C(1) atom. In the second H site, H(2) is bonded in a single-bond geometry to one C(1) atom. There are seven inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to one Lu(1) and one P(2) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Na(1), one Lu(1), and one P(1) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Lu(1) and one P(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Na(1), one Lu(1), and one P(1) atom. In the fifth O site, O(6) is bonded in a linear geometry to two equivalent Na(1) atoms. In the sixth O site, O(7) is bonded in a bent 150 degrees geometry to one Lu(1) and one P(2) atom. In the seventh O site, O(8) is bonded in a 4-coordinate geometry to two equivalent Na(1), one Lu(1), and one P(2) atom.