Zr3AgCd3F20 crystallizes in the hexagonal P6_3/m space group. Zr(1) is bonded to one F(3), one F(4), one F(6), two equivalent F(1), and two equivalent F(2) atoms to form ZrF7 pentagonal bipyramids that share corners with two equivalent Zr(1)F7 pentagonal bipyramids, corners with four equivalent Cd(1)F7 pentagonal bipyramids,  a cornercorner with one Ag(1)F5 trigonal bipyramid, and  an edgeedge with one Cd(1)F7 pentagonal bipyramid. Ag(1) is bonded to two equivalent F(5) and three equivalent F(3) atoms to form AgF5 trigonal bipyramids that share corners with three equivalent Zr(1)F7 pentagonal bipyramids, corners with three equivalent Cd(1)F7 pentagonal bipyramids, and corners with two equivalent Ag(1)F5 trigonal bipyramids. Cd(1) is bonded to one F(3), one F(4), one F(7), two equivalent F(2), and two equivalent F(6) atoms to form CdF7 pentagonal bipyramids that share corners with four equivalent Zr(1)F7 pentagonal bipyramids,  a cornercorner with one Ag(1)F5 trigonal bipyramid,  an edgeedge with one Zr(1)F7 pentagonal bipyramid, and edges with two equivalent Cd(1)F7 pentagonal bipyramids. There are seven inequivalent F sites. In the first F site, F(1) is bonded in a linear geometry to two equivalent Zr(1) atoms. In the second F site, F(2) is bonded in a linear geometry to one Zr(1) and one Cd(1) atom. In the third F site, F(3) is bonded in a trigonal planar geometry to one Zr(1), one Ag(1), and one Cd(1) atom. In the fourth F site, F(4) is bonded in a bent 150 degrees geometry to one Zr(1) and one Cd(1) atom. In the fifth F site, F(5) is bonded in a linear geometry to two equivalent Ag(1) atoms. In the sixth F site, F(7) is bonded in a trigonal planar geometry to three equivalent Cd(1) atoms. In the seventh F site, F(6) is bonded in a 3-coordinate geometry to one Zr(1) and two equivalent Cd(1) atoms.
Zr3AgCd3F20 crystallizes in the hexagonal P6_3/m space group. Zr(1) is bonded to one F(3), one F(4), one F(6), two equivalent F(1), and two equivalent F(2) atoms to form ZrF7 pentagonal bipyramids that share corners with two equivalent Zr(1)F7 pentagonal bipyramids, corners with four equivalent Cd(1)F7 pentagonal bipyramids,  a cornercorner with one Ag(1)F5 trigonal bipyramid, and  an edgeedge with one Cd(1)F7 pentagonal bipyramid. The Zr(1)-F(3) bond length is 2.13 Å. The Zr(1)-F(4) bond length is 2.08 Å. The Zr(1)-F(6) bond length is 2.11 Å. Both Zr(1)-F(1) bond lengths are 2.14 Å. Both Zr(1)-F(2) bond lengths are 2.03 Å. Ag(1) is bonded to two equivalent F(5) and three equivalent F(3) atoms to form AgF5 trigonal bipyramids that share corners with three equivalent Zr(1)F7 pentagonal bipyramids, corners with three equivalent Cd(1)F7 pentagonal bipyramids, and corners with two equivalent Ag(1)F5 trigonal bipyramids. Both Ag(1)-F(5) bond lengths are 2.13 Å. All Ag(1)-F(3) bond lengths are 2.36 Å. Cd(1) is bonded to one F(3), one F(4), one F(7), two equivalent F(2), and two equivalent F(6) atoms to form CdF7 pentagonal bipyramids that share corners with four equivalent Zr(1)F7 pentagonal bipyramids,  a cornercorner with one Ag(1)F5 trigonal bipyramid,  an edgeedge with one Zr(1)F7 pentagonal bipyramid, and edges with two equivalent Cd(1)F7 pentagonal bipyramids. The Cd(1)-F(3) bond length is 2.37 Å. The Cd(1)-F(4) bond length is 2.30 Å. The Cd(1)-F(7) bond length is 2.25 Å. Both Cd(1)-F(2) bond lengths are 2.24 Å. There is one shorter (2.40 Å) and one longer (2.51 Å) Cd(1)-F(6) bond length. There are seven inequivalent F sites. In the first F site, F(1) is bonded in a linear geometry to two equivalent Zr(1) atoms. In the second F site, F(2) is bonded in a linear geometry to one Zr(1) and one Cd(1) atom. In the third F site, F(3) is bonded in a trigonal planar geometry to one Zr(1), one Ag(1), and one Cd(1) atom. In the fourth F site, F(4) is bonded in a bent 150 degrees geometry to one Zr(1) and one Cd(1) atom. In the fifth F site, F(5) is bonded in a linear geometry to two equivalent Ag(1) atoms. In the sixth F site, F(7) is bonded in a trigonal planar geometry to three equivalent Cd(1) atoms. In the seventh F site, F(6) is bonded in a 3-coordinate geometry to one Zr(1) and two equivalent Cd(1) atoms.