Gd4Ge3O13 crystallizes in the triclinic P-1 space group. There are four inequivalent Gd sites. In the first Gd site, Gd(1) is bonded in a 8-coordinate geometry to one O(1), one O(11), one O(12), one O(13), one O(3), one O(4), one O(6), and one O(9) atom. In the second Gd site, Gd(2) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(13), one O(5), one O(7), and two equivalent O(2) atoms. In the third Gd site, Gd(3) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(12), one O(2), one O(5), one O(7), and one O(8) atom. In the fourth Gd site, Gd(4) is bonded in a 7-coordinate geometry to one O(13), one O(3), one O(6), one O(8), one O(9), and two equivalent O(4) atoms. There are three inequivalent Ge sites. In the first Ge site, Ge(1) is bonded to one O(10), one O(11), one O(6), and one O(8) atom to form corner-sharing GeO4 tetrahedra. In the second Ge site, Ge(2) is bonded in a tetrahedral geometry to one O(1), one O(12), one O(3), and one O(7) atom. In the third Ge site, Ge(3) is bonded to one O(4), one O(5), one O(6), and one O(9) atom to form corner-sharing GeO4 tetrahedra. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Gd(1), one Gd(2), and one Ge(2) atom. In the second O site, O(2) is bonded in a trigonal non-coplanar geometry to one Gd(3) and two equivalent Gd(2) atoms. In the third O site, O(3) is bonded in a trigonal planar geometry to one Gd(1), one Gd(4), and one Ge(2) atom. In the fourth O site, O(4) is bonded to one Gd(1), two equivalent Gd(4), and one Ge(3) atom to form distorted edge-sharing OGd3Ge tetrahedra. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Gd(2), one Gd(3), and one Ge(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Gd(1), one Gd(4), one Ge(1), and one Ge(3) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Gd(2), one Gd(3), and one Ge(2) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Gd(3), one Gd(4), and one Ge(1) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Gd(1), one Gd(4), and one Ge(3) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Gd(2), one Gd(3), and one Ge(1) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Gd(1), one Gd(3), and one Ge(1) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Gd(1), one Gd(3), and one Ge(2) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Gd(1), one Gd(2), and one Gd(4) atom.
Gd4Ge3O13 crystallizes in the triclinic P-1 space group. There are four inequivalent Gd sites. In the first Gd site, Gd(1) is bonded in a 8-coordinate geometry to one O(1), one O(11), one O(12), one O(13), one O(3), one O(4), one O(6), and one O(9) atom. The Gd(1)-O(1) bond length is 2.28 Å. The Gd(1)-O(11) bond length is 2.39 Å. The Gd(1)-O(12) bond length is 2.29 Å. The Gd(1)-O(13) bond length is 2.63 Å. The Gd(1)-O(3) bond length is 2.35 Å. The Gd(1)-O(4) bond length is 2.48 Å. The Gd(1)-O(6) bond length is 2.86 Å. The Gd(1)-O(9) bond length is 2.37 Å. In the second Gd site, Gd(2) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(13), one O(5), one O(7), and two equivalent O(2) atoms. The Gd(2)-O(1) bond length is 2.37 Å. The Gd(2)-O(10) bond length is 2.30 Å. The Gd(2)-O(13) bond length is 2.40 Å. The Gd(2)-O(5) bond length is 2.52 Å. The Gd(2)-O(7) bond length is 2.32 Å. There is one shorter (2.30 Å) and one longer (2.43 Å) Gd(2)-O(2) bond length. In the third Gd site, Gd(3) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(12), one O(2), one O(5), one O(7), and one O(8) atom. The Gd(3)-O(10) bond length is 2.38 Å. The Gd(3)-O(11) bond length is 2.37 Å. The Gd(3)-O(12) bond length is 2.28 Å. The Gd(3)-O(2) bond length is 2.36 Å. The Gd(3)-O(5) bond length is 2.44 Å. The Gd(3)-O(7) bond length is 2.40 Å. The Gd(3)-O(8) bond length is 2.41 Å. In the fourth Gd site, Gd(4) is bonded in a 7-coordinate geometry to one O(13), one O(3), one O(6), one O(8), one O(9), and two equivalent O(4) atoms. The Gd(4)-O(13) bond length is 2.40 Å. The Gd(4)-O(3) bond length is 2.29 Å. The Gd(4)-O(6) bond length is 2.46 Å. The Gd(4)-O(8) bond length is 2.32 Å. The Gd(4)-O(9) bond length is 2.54 Å. There is one shorter (2.40 Å) and one longer (2.41 Å) Gd(4)-O(4) bond length. There are three inequivalent Ge sites. In the first Ge site, Ge(1) is bonded to one O(10), one O(11), one O(6), and one O(8) atom to form corner-sharing GeO4 tetrahedra. The Ge(1)-O(10) bond length is 1.76 Å. The Ge(1)-O(11) bond length is 1.76 Å. The Ge(1)-O(6) bond length is 1.88 Å. The Ge(1)-O(8) bond length is 1.76 Å. In the second Ge site, Ge(2) is bonded in a tetrahedral geometry to one O(1), one O(12), one O(3), and one O(7) atom. The Ge(2)-O(1) bond length is 1.78 Å. The Ge(2)-O(12) bond length is 1.78 Å. The Ge(2)-O(3) bond length is 1.79 Å. The Ge(2)-O(7) bond length is 1.77 Å. In the third Ge site, Ge(3) is bonded to one O(4), one O(5), one O(6), and one O(9) atom to form corner-sharing GeO4 tetrahedra. The Ge(3)-O(4) bond length is 1.79 Å. The Ge(3)-O(5) bond length is 1.75 Å. The Ge(3)-O(6) bond length is 1.85 Å. The Ge(3)-O(9) bond length is 1.76 Å. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Gd(1), one Gd(2), and one Ge(2) atom. In the second O site, O(2) is bonded in a trigonal non-coplanar geometry to one Gd(3) and two equivalent Gd(2) atoms. In the third O site, O(3) is bonded in a trigonal planar geometry to one Gd(1), one Gd(4), and one Ge(2) atom. In the fourth O site, O(4) is bonded to one Gd(1), two equivalent Gd(4), and one Ge(3) atom to form distorted edge-sharing OGd3Ge tetrahedra. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Gd(2), one Gd(3), and one Ge(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Gd(1), one Gd(4), one Ge(1), and one Ge(3) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Gd(2), one Gd(3), and one Ge(2) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Gd(3), one Gd(4), and one Ge(1) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Gd(1), one Gd(4), and one Ge(3) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Gd(2), one Gd(3), and one Ge(1) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Gd(1), one Gd(3), and one Ge(1) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Gd(1), one Gd(3), and one Ge(2) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Gd(1), one Gd(2), and one Gd(4) atom.