TbGd3(PO4)4 is Zircon-derived structured and crystallizes in the monoclinic Cm space group. Tb(1) is bonded in a 8-coordinate geometry to one O(1), one O(12), one O(6), one O(8), two equivalent O(3), and two equivalent O(9) atoms. There are three inequivalent Gd sites. In the first Gd site, Gd(1) is bonded in a 8-coordinate geometry to one O(11), one O(2), one O(5), one O(7), two equivalent O(10), and two equivalent O(4) atoms. In the second Gd site, Gd(2) is bonded in a 8-coordinate geometry to one O(12), one O(2), one O(6), one O(7), two equivalent O(3), and two equivalent O(9) atoms. In the third Gd site, Gd(3) is bonded in a 8-coordinate geometry to one O(1), one O(11), one O(5), one O(8), two equivalent O(10), and two equivalent O(4) atoms. There are three inequivalent P sites. In the first P site, P(1) is bonded in a tetrahedral geometry to one O(1), one O(5), and two equivalent O(9) atoms. In the second P site, P(2) is bonded in a tetrahedral geometry to one O(2), one O(6), and two equivalent O(10) atoms. In the third P site, P(3,4) is bonded in a tetrahedral geometry to one O(11), one O(7), and two equivalent O(3) atoms. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Tb(1), one Gd(3), and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Gd(1), one Gd(2), and one P(2) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Tb(1); one Gd(2); and one P(3,4) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Gd(1); one Gd(3); and one P(3,4) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Gd(1), one Gd(3), and one P(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Tb(1), one Gd(2), and one P(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Gd(1); one Gd(2); and one P(3,4) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Tb(1); one Gd(3); and one P(3,4) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Tb(1), one Gd(2), and one P(1) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Gd(1), one Gd(3), and one P(2) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Gd(1); one Gd(3); and one P(3,4) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Tb(1); one Gd(2); and one P(3,4) atom.
TbGd3(PO4)4 is Zircon-derived structured and crystallizes in the monoclinic Cm space group. Tb(1) is bonded in a 8-coordinate geometry to one O(1), one O(12), one O(6), one O(8), two equivalent O(3), and two equivalent O(9) atoms. The Tb(1)-O(1) bond length is 2.36 Å. The Tb(1)-O(12) bond length is 2.42 Å. The Tb(1)-O(6) bond length is 2.36 Å. The Tb(1)-O(8) bond length is 2.42 Å. Both Tb(1)-O(3) bond lengths are 2.42 Å. Both Tb(1)-O(9) bond lengths are 2.36 Å. There are three inequivalent Gd sites. In the first Gd site, Gd(1) is bonded in a 8-coordinate geometry to one O(11), one O(2), one O(5), one O(7), two equivalent O(10), and two equivalent O(4) atoms. The Gd(1)-O(11) bond length is 2.43 Å. The Gd(1)-O(2) bond length is 2.37 Å. The Gd(1)-O(5) bond length is 2.37 Å. The Gd(1)-O(7) bond length is 2.43 Å. Both Gd(1)-O(10) bond lengths are 2.37 Å. Both Gd(1)-O(4) bond lengths are 2.43 Å. In the second Gd site, Gd(2) is bonded in a 8-coordinate geometry to one O(12), one O(2), one O(6), one O(7), two equivalent O(3), and two equivalent O(9) atoms. The Gd(2)-O(12) bond length is 2.36 Å. The Gd(2)-O(2) bond length is 2.43 Å. The Gd(2)-O(6) bond length is 2.44 Å. The Gd(2)-O(7) bond length is 2.37 Å. Both Gd(2)-O(3) bond lengths are 2.37 Å. Both Gd(2)-O(9) bond lengths are 2.43 Å. In the third Gd site, Gd(3) is bonded in a 8-coordinate geometry to one O(1), one O(11), one O(5), one O(8), two equivalent O(10), and two equivalent O(4) atoms. The Gd(3)-O(1) bond length is 2.44 Å. The Gd(3)-O(11) bond length is 2.37 Å. The Gd(3)-O(5) bond length is 2.43 Å. The Gd(3)-O(8) bond length is 2.37 Å. Both Gd(3)-O(10) bond lengths are 2.43 Å. Both Gd(3)-O(4) bond lengths are 2.37 Å. There are three inequivalent P sites. In the first P site, P(1) is bonded in a tetrahedral geometry to one O(1), one O(5), and two equivalent O(9) atoms. The P(1)-O(1) bond length is 1.56 Å. The P(1)-O(5) bond length is 1.55 Å. Both P(1)-O(9) bond lengths are 1.56 Å. In the second P site, P(2) is bonded in a tetrahedral geometry to one O(2), one O(6), and two equivalent O(10) atoms. The P(2)-O(2) bond length is 1.55 Å. The P(2)-O(6) bond length is 1.56 Å. Both P(2)-O(10) bond lengths are 1.55 Å. In the third P site, P(3,4) is bonded in a tetrahedral geometry to one O(11), one O(7), and two equivalent O(3) atoms. The P(3,4)-O(11) bond length is 1.55 Å. The P(3,4)-O(7) bond length is 1.55 Å. Both P(3,4)-O(3) bond lengths are 1.56 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Tb(1), one Gd(3), and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Gd(1), one Gd(2), and one P(2) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Tb(1); one Gd(2); and one P(3,4) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Gd(1); one Gd(3); and one P(3,4) atom. The O(4)-P(3,4) bond length is 1.55 Å. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Gd(1), one Gd(3), and one P(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Tb(1), one Gd(2), and one P(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Gd(1); one Gd(2); and one P(3,4) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Tb(1); one Gd(3); and one P(3,4) atom. The O(8)-P(3,4) bond length is 1.56 Å. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Tb(1), one Gd(2), and one P(1) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Gd(1), one Gd(3), and one P(2) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Gd(1); one Gd(3); and one P(3,4) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Tb(1); one Gd(2); and one P(3,4) atom. The O(12)-P(3,4) bond length is 1.56 Å.