MgCo5(P2O7)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(16), one O(19), one O(23), and one O(7) atom to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one Co(5)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one Co(4)O5 trigonal bipyramid,  an edgeedge with one P(7)O4 tetrahedra, and  an edgeedge with one Co(1)O4 trigonal pyramid. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(10), one O(27), one O(7), and one O(8) atom to form distorted CoO4 trigonal pyramids that share  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(7)O4 tetrahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. In the second Co site, Co(2) is bonded to one O(1), one O(11), one O(12), one O(13), and one O(9) atom to form distorted CoO5 trigonal bipyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(8)O4 tetrahedra, and  an edgeedge with one Co(3)O6 octahedra. In the third Co site, Co(3) is bonded to one O(12), one O(17), one O(20), one O(24), one O(5), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra,  a cornercorner with one P(8)O4 tetrahedra,  an edgeedge with one Co(2)O5 trigonal bipyramid, and  an edgeedge with one Co(4)O5 trigonal bipyramid. In the fourth Co site, Co(4) is bonded to one O(16), one O(17), one O(18), one O(20), and one O(28) atom to form distorted CoO5 trigonal bipyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra,  a cornercorner with one P(7)O4 tetrahedra,  a cornercorner with one P(8)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and  an edgeedge with one Co(3)O6 octahedra. In the fifth Co site, Co(5) is bonded to one O(19), one O(2), one O(21), and one O(22) atom to form CoO4 tetrahedra that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a cornercorner with one Mg(1)O5 trigonal bipyramid. There are eight inequivalent P sites. In the first P site, P(1) is bonded to one O(11), one O(28), one O(4), and one O(5) atom to form PO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  a cornercorner with one Co(4)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 18°. In the second P site, P(2) is bonded to one O(13), one O(2), one O(4), and one O(6) atom to form PO4 tetrahedra that share  a cornercorner with one Co(5)O4 tetrahedra,  a cornercorner with one P(1)O4 tetrahedra, and  a cornercorner with one Co(2)O5 trigonal bipyramid. In the third P site, P(3) is bonded to one O(14), one O(3), one O(7), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  a cornercorner with one Co(1)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 59°. In the fourth P site, P(4) is bonded to one O(12), one O(15), one O(19), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  a cornercorner with one Co(1)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 58°. In the fifth P site, P(5) is bonded to one O(10), one O(14), one O(17), and one O(21) atom to form PO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid,  a cornercorner with one Co(4)O5 trigonal bipyramid, and  a cornercorner with one Co(1)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 55°. In the sixth P site, P(6) is bonded to one O(15), one O(20), one O(22), and one O(26) atom to form PO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, and  a cornercorner with one Co(4)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 63°. In the seventh P site, P(7) is bonded to one O(16), one O(23), one O(25), and one O(27) atom to form PO4 tetrahedra that share  a cornercorner with one P(8)O4 tetrahedra,  a cornercorner with one Co(4)O5 trigonal bipyramid,  a cornercorner with one Co(1)O4 trigonal pyramid, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. In the eighth P site, P(8) is bonded to one O(1), one O(18), one O(24), and one O(25) atom to form PO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one P(7)O4 tetrahedra,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  a cornercorner with one Co(4)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 28°. There are twenty-eight inequivalent O sites. In the first O site, O(1) is bonded in a bent 150 degrees geometry to one Co(2) and one P(8) atom. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Co(5) and one P(2) atom. In the third O site, O(3) is bonded in a single-bond geometry to one P(3) atom. In the fourth O site, O(4) is bonded in a distorted bent 120 degrees geometry to one P(1) and one P(2) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Co(3) and one P(1) atom. In the sixth O site, O(6) is bonded in a single-bond geometry to one P(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mg(1), one Co(1), and one P(3) atom. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to one Co(1) and one P(4) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Co(2), one Co(3), and one P(3) atom. In the tenth O site, O(10) is bonded in a distorted T-shaped geometry to one Mg(1), one Co(1), and one P(5) atom. In the eleventh O site, O(11) is bonded in a distorted bent 120 degrees geometry to one Co(2) and one P(1) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Co(2), one Co(3), and one P(4) atom. In the thirteenth O site, O(13) is bonded in a distorted bent 120 degrees geometry to one Co(2) and one P(2) atom. In the fourteenth O site, O(14) is bonded in a bent 150 degrees geometry to one P(3) and one P(5) atom. In the fifteenth O site, O(15) is bonded in a distorted bent 150 degrees geometry to one P(4) and one P(6) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Mg(1), one Co(4), and one P(7) atom. In the seventeenth O site, O(17) is bonded in a distorted trigonal planar geometry to one Co(3), one Co(4), and one P(5) atom. In the eighteenth O site, O(18) is bonded in a distorted bent 150 degrees geometry to one Co(4) and one P(8) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1), one Co(5), and one P(4) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal planar geometry to one Co(3), one Co(4), and one P(6) atom. In the twenty-first O site, O(21) is bonded in a 2-coordinate geometry to one Co(5) and one P(5) atom. In the twenty-second O site, O(22) is bonded in a bent 120 degrees geometry to one Co(5) and one P(6) atom. In the twenty-third O site, O(23) is bonded in an L-shaped geometry to one Mg(1) and one P(7) atom. In the twenty-fourth O site, O(24) is bonded in a bent 150 degrees geometry to one Co(3) and one P(8) atom. In the twenty-fifth O site, O(25) is bonded in a bent 120 degrees geometry to one P(7) and one P(8) atom. In the twenty-sixth O site, O(26) is bonded in a single-bond geometry to one P(6) atom. In the twenty-seventh O site, O(27) is bonded in a bent 150 degrees geometry to one Co(1) and one P(7) atom. In the twenty-eighth O site, O(28) is bonded in a bent 150 degrees geometry to one Co(4) and one P(1) atom.
MgCo5(P2O7)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(16), one O(19), one O(23), and one O(7) atom to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one Co(5)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one Co(4)O5 trigonal bipyramid,  an edgeedge with one P(7)O4 tetrahedra, and  an edgeedge with one Co(1)O4 trigonal pyramid. The Mg(1)-O(10) bond length is 2.11 Å. The Mg(1)-O(16) bond length is 2.17 Å. The Mg(1)-O(19) bond length is 2.16 Å. The Mg(1)-O(23) bond length is 1.99 Å. The Mg(1)-O(7) bond length is 2.02 Å. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(10), one O(27), one O(7), and one O(8) atom to form distorted CoO4 trigonal pyramids that share  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(7)O4 tetrahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The Co(1)-O(10) bond length is 2.05 Å. The Co(1)-O(27) bond length is 1.87 Å. The Co(1)-O(7) bond length is 2.02 Å. The Co(1)-O(8) bond length is 1.94 Å. In the second Co site, Co(2) is bonded to one O(1), one O(11), one O(12), one O(13), and one O(9) atom to form distorted CoO5 trigonal bipyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(8)O4 tetrahedra, and  an edgeedge with one Co(3)O6 octahedra. The Co(2)-O(1) bond length is 1.85 Å. The Co(2)-O(11) bond length is 1.96 Å. The Co(2)-O(12) bond length is 2.13 Å. The Co(2)-O(13) bond length is 1.89 Å. The Co(2)-O(9) bond length is 2.12 Å. In the third Co site, Co(3) is bonded to one O(12), one O(17), one O(20), one O(24), one O(5), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra,  a cornercorner with one P(8)O4 tetrahedra,  an edgeedge with one Co(2)O5 trigonal bipyramid, and  an edgeedge with one Co(4)O5 trigonal bipyramid. The Co(3)-O(12) bond length is 2.08 Å. The Co(3)-O(17) bond length is 2.04 Å. The Co(3)-O(20) bond length is 2.15 Å. The Co(3)-O(24) bond length is 1.90 Å. The Co(3)-O(5) bond length is 1.90 Å. The Co(3)-O(9) bond length is 2.06 Å. In the fourth Co site, Co(4) is bonded to one O(16), one O(17), one O(18), one O(20), and one O(28) atom to form distorted CoO5 trigonal bipyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra,  a cornercorner with one P(7)O4 tetrahedra,  a cornercorner with one P(8)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and  an edgeedge with one Co(3)O6 octahedra. The Co(4)-O(16) bond length is 1.93 Å. The Co(4)-O(17) bond length is 2.15 Å. The Co(4)-O(18) bond length is 2.01 Å. The Co(4)-O(20) bond length is 1.99 Å. The Co(4)-O(28) bond length is 1.84 Å. In the fifth Co site, Co(5) is bonded to one O(19), one O(2), one O(21), and one O(22) atom to form CoO4 tetrahedra that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a cornercorner with one Mg(1)O5 trigonal bipyramid. The Co(5)-O(19) bond length is 2.04 Å. The Co(5)-O(2) bond length is 1.82 Å. The Co(5)-O(21) bond length is 1.96 Å. The Co(5)-O(22) bond length is 1.82 Å. There are eight inequivalent P sites. In the first P site, P(1) is bonded to one O(11), one O(28), one O(4), and one O(5) atom to form PO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  a cornercorner with one Co(4)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 18°. The P(1)-O(11) bond length is 1.54 Å. The P(1)-O(28) bond length is 1.56 Å. The P(1)-O(4) bond length is 1.59 Å. The P(1)-O(5) bond length is 1.52 Å. In the second P site, P(2) is bonded to one O(13), one O(2), one O(4), and one O(6) atom to form PO4 tetrahedra that share  a cornercorner with one Co(5)O4 tetrahedra,  a cornercorner with one P(1)O4 tetrahedra, and  a cornercorner with one Co(2)O5 trigonal bipyramid. The P(2)-O(13) bond length is 1.55 Å. The P(2)-O(2) bond length is 1.57 Å. The P(2)-O(4) bond length is 1.64 Å. The P(2)-O(6) bond length is 1.48 Å. In the third P site, P(3) is bonded to one O(14), one O(3), one O(7), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  a cornercorner with one Co(1)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 59°. The P(3)-O(14) bond length is 1.64 Å. The P(3)-O(3) bond length is 1.47 Å. The P(3)-O(7) bond length is 1.55 Å. The P(3)-O(9) bond length is 1.60 Å. In the fourth P site, P(4) is bonded to one O(12), one O(15), one O(19), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  a cornercorner with one Co(1)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 58°. The P(4)-O(12) bond length is 1.55 Å. The P(4)-O(15) bond length is 1.61 Å. The P(4)-O(19) bond length is 1.57 Å. The P(4)-O(8) bond length is 1.51 Å. In the fifth P site, P(5) is bonded to one O(10), one O(14), one O(17), and one O(21) atom to form PO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid,  a cornercorner with one Co(4)O5 trigonal bipyramid, and  a cornercorner with one Co(1)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 55°. The P(5)-O(10) bond length is 1.54 Å. The P(5)-O(14) bond length is 1.58 Å. The P(5)-O(17) bond length is 1.56 Å. The P(5)-O(21) bond length is 1.53 Å. In the sixth P site, P(6) is bonded to one O(15), one O(20), one O(22), and one O(26) atom to form PO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, and  a cornercorner with one Co(4)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 63°. The P(6)-O(15) bond length is 1.63 Å. The P(6)-O(20) bond length is 1.59 Å. The P(6)-O(22) bond length is 1.56 Å. The P(6)-O(26) bond length is 1.47 Å. In the seventh P site, P(7) is bonded to one O(16), one O(23), one O(25), and one O(27) atom to form PO4 tetrahedra that share  a cornercorner with one P(8)O4 tetrahedra,  a cornercorner with one Co(4)O5 trigonal bipyramid,  a cornercorner with one Co(1)O4 trigonal pyramid, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The P(7)-O(16) bond length is 1.58 Å. The P(7)-O(23) bond length is 1.51 Å. The P(7)-O(25) bond length is 1.60 Å. The P(7)-O(27) bond length is 1.51 Å. In the eighth P site, P(8) is bonded to one O(1), one O(18), one O(24), and one O(25) atom to form PO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one P(7)O4 tetrahedra,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  a cornercorner with one Co(4)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 28°. The P(8)-O(1) bond length is 1.55 Å. The P(8)-O(18) bond length is 1.53 Å. The P(8)-O(24) bond length is 1.52 Å. The P(8)-O(25) bond length is 1.60 Å. There are twenty-eight inequivalent O sites. In the first O site, O(1) is bonded in a bent 150 degrees geometry to one Co(2) and one P(8) atom. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Co(5) and one P(2) atom. In the third O site, O(3) is bonded in a single-bond geometry to one P(3) atom. In the fourth O site, O(4) is bonded in a distorted bent 120 degrees geometry to one P(1) and one P(2) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Co(3) and one P(1) atom. In the sixth O site, O(6) is bonded in a single-bond geometry to one P(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mg(1), one Co(1), and one P(3) atom. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to one Co(1) and one P(4) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Co(2), one Co(3), and one P(3) atom. In the tenth O site, O(10) is bonded in a distorted T-shaped geometry to one Mg(1), one Co(1), and one P(5) atom. In the eleventh O site, O(11) is bonded in a distorted bent 120 degrees geometry to one Co(2) and one P(1) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Co(2), one Co(3), and one P(4) atom. In the thirteenth O site, O(13) is bonded in a distorted bent 120 degrees geometry to one Co(2) and one P(2) atom. In the fourteenth O site, O(14) is bonded in a bent 150 degrees geometry to one P(3) and one P(5) atom. In the fifteenth O site, O(15) is bonded in a distorted bent 150 degrees geometry to one P(4) and one P(6) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Mg(1), one Co(4), and one P(7) atom. In the seventeenth O site, O(17) is bonded in a distorted trigonal planar geometry to one Co(3), one Co(4), and one P(5) atom. In the eighteenth O site, O(18) is bonded in a distorted bent 150 degrees geometry to one Co(4) and one P(8) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1), one Co(5), and one P(4) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal planar geometry to one Co(3), one Co(4), and one P(6) atom. In the twenty-first O site, O(21) is bonded in a 2-coordinate geometry to one Co(5) and one P(5) atom. In the twenty-second O site, O(22) is bonded in a bent 120 degrees geometry to one Co(5) and one P(6) atom. In the twenty-third O site, O(23) is bonded in an L-shaped geometry to one Mg(1) and one P(7) atom. In the twenty-fourth O site, O(24) is bonded in a bent 150 degrees geometry to one Co(3) and one P(8) atom. In the twenty-fifth O site, O(25) is bonded in a bent 120 degrees geometry to one P(7) and one P(8) atom. In the twenty-sixth O site, O(26) is bonded in a single-bond geometry to one P(6) atom. In the twenty-seventh O site, O(27) is bonded in a bent 150 degrees geometry to one Co(1) and one P(7) atom. In the twenty-eighth O site, O(28) is bonded in a bent 150 degrees geometry to one Co(4) and one P(1) atom.