MgLu4(Te5O13)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 4-coordinate geometry to one O(13), one O(15), one O(20), and one O(26) atom. There are four inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a distorted octahedral geometry to one O(12), one O(13), one O(15), one O(17), one O(23), one O(24), and one O(6) atom. In the second Lu site, Lu(2) is bonded in a 8-coordinate geometry to one O(1), one O(10), one O(11), one O(18), one O(2), one O(4), one O(5), and one O(8) atom. In the third Lu site, Lu(3) is bonded in a 6-coordinate geometry to one O(14), one O(18), one O(2), one O(3), one O(5), and one O(7) atom. In the fourth Lu site, Lu(4) is bonded in a 7-coordinate geometry to one O(1), one O(15), one O(17), one O(19), one O(20), one O(23), and one O(24) atom. There are ten inequivalent Te sites. In the first Te site, Te(1) is bonded in a 3-coordinate geometry to one O(17), one O(23), and one O(9) atom. In the second Te site, Te(2) is bonded in a distorted L-shaped geometry to one O(21) and one O(24) atom. In the third Te site, Te(3) is bonded in a distorted rectangular see-saw-like geometry to one O(10), one O(22), one O(23), and one O(5) atom. In the fourth Te site, Te(4) is bonded in a 4-coordinate geometry to one O(1), one O(12), one O(26), and one O(8) atom. In the fifth Te site, Te(5) is bonded in a rectangular see-saw-like geometry to one O(16), one O(18), one O(2), and one O(25) atom. In the sixth Te site, Te(6) is bonded in a 3-coordinate geometry to one O(14), one O(25), and one O(4) atom. In the seventh Te site, Te(7) is bonded in a 4-coordinate geometry to one O(22), one O(3), one O(4), and one O(8) atom. In the eighth Te site, Te(8) is bonded in a distorted trigonal non-coplanar geometry to one O(11), one O(16), and one O(7) atom. In the ninth Te site, Te(9) is bonded in a 4-coordinate geometry to one O(13), one O(19), one O(20), and one O(9) atom. In the tenth Te site, Te(10) is bonded in a 4-coordinate geometry to one O(14), one O(19), one O(21), and one O(6) atom. There are twenty-six inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 120 degrees geometry to one Lu(2), one Lu(4), and one Te(4) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Lu(2), one Lu(3), and one Te(5) atom. In the third O site, O(3) is bonded in a linear geometry to one Lu(3) and one Te(7) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Lu(2), one Te(6), and one Te(7) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Lu(2), one Lu(3), and one Te(3) atom. In the sixth O site, O(6) is bonded in a distorted bent 120 degrees geometry to one Lu(1) and one Te(10) atom. In the seventh O site, O(7) is bonded in a bent 120 degrees geometry to one Lu(3) and one Te(8) atom. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to one Lu(2), one Te(4), and one Te(7) atom. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one Te(1) and one Te(9) atom. In the tenth O site, O(10) is bonded in a 2-coordinate geometry to one Lu(2) and one Te(3) atom. In the eleventh O site, O(11) is bonded in a distorted bent 120 degrees geometry to one Lu(2) and one Te(8) atom. In the twelfth O site, O(12) is bonded in a bent 120 degrees geometry to one Lu(1) and one Te(4) atom. In the thirteenth O site, O(13) is bonded in a T-shaped geometry to one Mg(1), one Lu(1), and one Te(9) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal non-coplanar geometry to one Lu(3), one Te(10), and one Te(6) atom. In the fifteenth O site, O(15) is bonded in a trigonal planar geometry to one Mg(1), one Lu(1), and one Lu(4) atom. In the sixteenth O site, O(16) is bonded in a bent 120 degrees geometry to one Te(5) and one Te(8) atom. In the seventeenth O site, O(17) is bonded in a distorted trigonal non-coplanar geometry to one Lu(1), one Lu(4), and one Te(1) atom. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Lu(2), one Lu(3), and one Te(5) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal planar geometry to one Lu(4), one Te(10), and one Te(9) atom. In the twentieth O site, O(20) is bonded in a 3-coordinate geometry to one Mg(1), one Lu(4), and one Te(9) atom. In the twenty-first O site, O(21) is bonded in a bent 150 degrees geometry to one Te(10) and one Te(2) atom. In the twenty-second O site, O(22) is bonded in a distorted bent 150 degrees geometry to one Te(3) and one Te(7) atom. In the twenty-third O site, O(23) is bonded in a 4-coordinate geometry to one Lu(1), one Lu(4), one Te(1), and one Te(3) atom. In the twenty-fourth O site, O(24) is bonded in a trigonal planar geometry to one Lu(1), one Lu(4), and one Te(2) atom. In the twenty-fifth O site, O(25) is bonded in a bent 120 degrees geometry to one Te(5) and one Te(6) atom. In the twenty-sixth O site, O(26) is bonded in a bent 150 degrees geometry to one Mg(1) and one Te(4) atom.
MgLu4(Te5O13)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 4-coordinate geometry to one O(13), one O(15), one O(20), and one O(26) atom. The Mg(1)-O(13) bond length is 2.09 Å. The Mg(1)-O(15) bond length is 1.94 Å. The Mg(1)-O(20) bond length is 2.39 Å. The Mg(1)-O(26) bond length is 1.99 Å. There are four inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a distorted octahedral geometry to one O(12), one O(13), one O(15), one O(17), one O(23), one O(24), and one O(6) atom. The Lu(1)-O(12) bond length is 2.25 Å. The Lu(1)-O(13) bond length is 2.26 Å. The Lu(1)-O(15) bond length is 2.09 Å. The Lu(1)-O(17) bond length is 2.29 Å. The Lu(1)-O(23) bond length is 2.87 Å. The Lu(1)-O(24) bond length is 2.24 Å. The Lu(1)-O(6) bond length is 2.30 Å. In the second Lu site, Lu(2) is bonded in a 8-coordinate geometry to one O(1), one O(10), one O(11), one O(18), one O(2), one O(4), one O(5), and one O(8) atom. The Lu(2)-O(1) bond length is 2.88 Å. The Lu(2)-O(10) bond length is 2.27 Å. The Lu(2)-O(11) bond length is 2.21 Å. The Lu(2)-O(18) bond length is 2.41 Å. The Lu(2)-O(2) bond length is 2.46 Å. The Lu(2)-O(4) bond length is 2.29 Å. The Lu(2)-O(5) bond length is 2.26 Å. The Lu(2)-O(8) bond length is 2.26 Å. In the third Lu site, Lu(3) is bonded in a 6-coordinate geometry to one O(14), one O(18), one O(2), one O(3), one O(5), and one O(7) atom. The Lu(3)-O(14) bond length is 2.27 Å. The Lu(3)-O(18) bond length is 2.22 Å. The Lu(3)-O(2) bond length is 2.19 Å. The Lu(3)-O(3) bond length is 2.15 Å. The Lu(3)-O(5) bond length is 2.36 Å. The Lu(3)-O(7) bond length is 2.21 Å. In the fourth Lu site, Lu(4) is bonded in a 7-coordinate geometry to one O(1), one O(15), one O(17), one O(19), one O(20), one O(23), and one O(24) atom. The Lu(4)-O(1) bond length is 2.23 Å. The Lu(4)-O(15) bond length is 2.09 Å. The Lu(4)-O(17) bond length is 2.40 Å. The Lu(4)-O(19) bond length is 2.35 Å. The Lu(4)-O(20) bond length is 2.69 Å. The Lu(4)-O(23) bond length is 2.33 Å. The Lu(4)-O(24) bond length is 2.32 Å. There are ten inequivalent Te sites. In the first Te site, Te(1) is bonded in a 3-coordinate geometry to one O(17), one O(23), and one O(9) atom. The Te(1)-O(17) bond length is 1.90 Å. The Te(1)-O(23) bond length is 1.91 Å. The Te(1)-O(9) bond length is 2.05 Å. In the second Te site, Te(2) is bonded in a distorted L-shaped geometry to one O(21) and one O(24) atom. The Te(2)-O(21) bond length is 2.00 Å. The Te(2)-O(24) bond length is 1.94 Å. In the third Te site, Te(3) is bonded in a distorted rectangular see-saw-like geometry to one O(10), one O(22), one O(23), and one O(5) atom. The Te(3)-O(10) bond length is 1.91 Å. The Te(3)-O(22) bond length is 2.02 Å. The Te(3)-O(23) bond length is 2.62 Å. The Te(3)-O(5) bond length is 1.90 Å. In the fourth Te site, Te(4) is bonded in a 4-coordinate geometry to one O(1), one O(12), one O(26), and one O(8) atom. The Te(4)-O(1) bond length is 1.92 Å. The Te(4)-O(12) bond length is 1.92 Å. The Te(4)-O(26) bond length is 1.92 Å. The Te(4)-O(8) bond length is 2.64 Å. In the fifth Te site, Te(5) is bonded in a rectangular see-saw-like geometry to one O(16), one O(18), one O(2), and one O(25) atom. The Te(5)-O(16) bond length is 2.09 Å. The Te(5)-O(18) bond length is 1.89 Å. The Te(5)-O(2) bond length is 1.89 Å. The Te(5)-O(25) bond length is 2.17 Å. In the sixth Te site, Te(6) is bonded in a 3-coordinate geometry to one O(14), one O(25), and one O(4) atom. The Te(6)-O(14) bond length is 1.92 Å. The Te(6)-O(25) bond length is 1.95 Å. The Te(6)-O(4) bond length is 1.89 Å. In the seventh Te site, Te(7) is bonded in a 4-coordinate geometry to one O(22), one O(3), one O(4), and one O(8) atom. The Te(7)-O(22) bond length is 1.98 Å. The Te(7)-O(3) bond length is 1.89 Å. The Te(7)-O(4) bond length is 2.60 Å. The Te(7)-O(8) bond length is 1.89 Å. In the eighth Te site, Te(8) is bonded in a distorted trigonal non-coplanar geometry to one O(11), one O(16), and one O(7) atom. The Te(8)-O(11) bond length is 1.88 Å. The Te(8)-O(16) bond length is 1.94 Å. The Te(8)-O(7) bond length is 1.89 Å. In the ninth Te site, Te(9) is bonded in a 4-coordinate geometry to one O(13), one O(19), one O(20), and one O(9) atom. The Te(9)-O(13) bond length is 1.92 Å. The Te(9)-O(19) bond length is 2.50 Å. The Te(9)-O(20) bond length is 1.90 Å. The Te(9)-O(9) bond length is 1.96 Å. In the tenth Te site, Te(10) is bonded in a 4-coordinate geometry to one O(14), one O(19), one O(21), and one O(6) atom. The Te(10)-O(14) bond length is 2.60 Å. The Te(10)-O(19) bond length is 1.91 Å. The Te(10)-O(21) bond length is 2.01 Å. The Te(10)-O(6) bond length is 1.89 Å. There are twenty-six inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 120 degrees geometry to one Lu(2), one Lu(4), and one Te(4) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Lu(2), one Lu(3), and one Te(5) atom. In the third O site, O(3) is bonded in a linear geometry to one Lu(3) and one Te(7) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Lu(2), one Te(6), and one Te(7) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Lu(2), one Lu(3), and one Te(3) atom. In the sixth O site, O(6) is bonded in a distorted bent 120 degrees geometry to one Lu(1) and one Te(10) atom. In the seventh O site, O(7) is bonded in a bent 120 degrees geometry to one Lu(3) and one Te(8) atom. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to one Lu(2), one Te(4), and one Te(7) atom. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one Te(1) and one Te(9) atom. In the tenth O site, O(10) is bonded in a 2-coordinate geometry to one Lu(2) and one Te(3) atom. In the eleventh O site, O(11) is bonded in a distorted bent 120 degrees geometry to one Lu(2) and one Te(8) atom. In the twelfth O site, O(12) is bonded in a bent 120 degrees geometry to one Lu(1) and one Te(4) atom. In the thirteenth O site, O(13) is bonded in a T-shaped geometry to one Mg(1), one Lu(1), and one Te(9) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal non-coplanar geometry to one Lu(3), one Te(10), and one Te(6) atom. In the fifteenth O site, O(15) is bonded in a trigonal planar geometry to one Mg(1), one Lu(1), and one Lu(4) atom. In the sixteenth O site, O(16) is bonded in a bent 120 degrees geometry to one Te(5) and one Te(8) atom. In the seventeenth O site, O(17) is bonded in a distorted trigonal non-coplanar geometry to one Lu(1), one Lu(4), and one Te(1) atom. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Lu(2), one Lu(3), and one Te(5) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal planar geometry to one Lu(4), one Te(10), and one Te(9) atom. In the twentieth O site, O(20) is bonded in a 3-coordinate geometry to one Mg(1), one Lu(4), and one Te(9) atom. In the twenty-first O site, O(21) is bonded in a bent 150 degrees geometry to one Te(10) and one Te(2) atom. In the twenty-second O site, O(22) is bonded in a distorted bent 150 degrees geometry to one Te(3) and one Te(7) atom. In the twenty-third O site, O(23) is bonded in a 4-coordinate geometry to one Lu(1), one Lu(4), one Te(1), and one Te(3) atom. In the twenty-fourth O site, O(24) is bonded in a trigonal planar geometry to one Lu(1), one Lu(4), and one Te(2) atom. In the twenty-fifth O site, O(25) is bonded in a bent 120 degrees geometry to one Te(5) and one Te(6) atom. In the twenty-sixth O site, O(26) is bonded in a bent 150 degrees geometry to one Mg(1) and one Te(4) atom.