CrMn3(PO4)4 crystallizes in the monoclinic Pm space group. Cr(1) is bonded to one O(1), one O(9), two equivalent O(11), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with four equivalent Mn(2)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(4)O4 tetrahedra, and  an edgeedge with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-50°. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(12), one O(4), two equivalent O(2), and two equivalent O(8) atoms to form distorted MnO6 pentagonal pyramids that share corners with four equivalent Mn(3)O6 octahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the second Mn site, Mn(2) is bonded to one O(3), one O(7), two equivalent O(11), and two equivalent O(5) atoms to form distorted MnO6 octahedra that share corners with four equivalent Cr(1)O6 octahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and  an edgeedge with one P(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-50°. In the third Mn site, Mn(3) is bonded to one O(10), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form distorted MnO6 octahedra that share corners with four equivalent Mn(1)O6 pentagonal pyramids,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, and  an edgeedge with one P(1)O4 tetrahedra. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(10), and two equivalent O(2) atoms to form PO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Mn(1)O6 pentagonal pyramids, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-50°. In the second P site, P(2) is bonded to one O(6), one O(9), and two equivalent O(5) atoms to form PO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-56°. In the third P site, P(3) is bonded to one O(4), one O(7), and two equivalent O(8) atoms to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra,  a cornercorner with one Mn(1)O6 pentagonal pyramid, and  an edgeedge with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 43-53°. In the fourth P site, P(4) is bonded to one O(12), one O(3), and two equivalent O(11) atoms to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 pentagonal pyramid, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 150 degrees geometry to one Cr(1) and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(3), and one P(1) atom. In the third O site, O(3) is bonded in a bent 120 degrees geometry to one Mn(2) and one P(4) atom. In the fourth O site, O(4) is bonded in a bent 120 degrees geometry to one Mn(1) and one P(3) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Cr(1), one Mn(2), and one P(2) atom. In the sixth O site, O(6) is bonded in a distorted bent 120 degrees geometry to one Mn(3) and one P(2) atom. In the seventh O site, O(7) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(3) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(3), and one P(3) atom. In the ninth O site, O(9) is bonded in a distorted bent 120 degrees geometry to one Cr(1) and one P(2) atom. In the tenth O site, O(10) is bonded in a bent 120 degrees geometry to one Mn(3) and one P(1) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Cr(1), one Mn(2), and one P(4) atom. In the twelfth O site, O(12) is bonded in a distorted bent 150 degrees geometry to one Mn(1) and one P(4) atom.
CrMn3(PO4)4 crystallizes in the monoclinic Pm space group. Cr(1) is bonded to one O(1), one O(9), two equivalent O(11), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with four equivalent Mn(2)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(4)O4 tetrahedra, and  an edgeedge with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-50°. The Cr(1)-O(1) bond length is 1.96 Å. The Cr(1)-O(9) bond length is 1.98 Å. Both Cr(1)-O(11) bond lengths are 2.07 Å. Both Cr(1)-O(5) bond lengths are 2.11 Å. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(12), one O(4), two equivalent O(2), and two equivalent O(8) atoms to form distorted MnO6 pentagonal pyramids that share corners with four equivalent Mn(3)O6 octahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-51°. The Mn(1)-O(12) bond length is 1.92 Å. The Mn(1)-O(4) bond length is 1.92 Å. Both Mn(1)-O(2) bond lengths are 2.00 Å. Both Mn(1)-O(8) bond lengths are 2.32 Å. In the second Mn site, Mn(2) is bonded to one O(3), one O(7), two equivalent O(11), and two equivalent O(5) atoms to form distorted MnO6 octahedra that share corners with four equivalent Cr(1)O6 octahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and  an edgeedge with one P(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-50°. The Mn(2)-O(3) bond length is 1.89 Å. The Mn(2)-O(7) bond length is 1.90 Å. Both Mn(2)-O(11) bond lengths are 2.32 Å. Both Mn(2)-O(5) bond lengths are 2.06 Å. In the third Mn site, Mn(3) is bonded to one O(10), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form distorted MnO6 octahedra that share corners with four equivalent Mn(1)O6 pentagonal pyramids,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, and  an edgeedge with one P(1)O4 tetrahedra. The Mn(3)-O(10) bond length is 1.91 Å. The Mn(3)-O(6) bond length is 1.93 Å. Both Mn(3)-O(2) bond lengths are 2.30 Å. Both Mn(3)-O(8) bond lengths are 2.01 Å. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(10), and two equivalent O(2) atoms to form PO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Mn(1)O6 pentagonal pyramids, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-50°. The P(1)-O(1) bond length is 1.52 Å. The P(1)-O(10) bond length is 1.54 Å. Both P(1)-O(2) bond lengths are 1.57 Å. In the second P site, P(2) is bonded to one O(6), one O(9), and two equivalent O(5) atoms to form PO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-56°. The P(2)-O(6) bond length is 1.53 Å. The P(2)-O(9) bond length is 1.51 Å. Both P(2)-O(5) bond lengths are 1.59 Å. In the third P site, P(3) is bonded to one O(4), one O(7), and two equivalent O(8) atoms to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra,  a cornercorner with one Mn(1)O6 pentagonal pyramid, and  an edgeedge with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 43-53°. The P(3)-O(4) bond length is 1.54 Å. The P(3)-O(7) bond length is 1.54 Å. Both P(3)-O(8) bond lengths are 1.56 Å. In the fourth P site, P(4) is bonded to one O(12), one O(3), and two equivalent O(11) atoms to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 pentagonal pyramid, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. The P(4)-O(12) bond length is 1.54 Å. The P(4)-O(3) bond length is 1.55 Å. Both P(4)-O(11) bond lengths are 1.57 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 150 degrees geometry to one Cr(1) and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(3), and one P(1) atom. In the third O site, O(3) is bonded in a bent 120 degrees geometry to one Mn(2) and one P(4) atom. In the fourth O site, O(4) is bonded in a bent 120 degrees geometry to one Mn(1) and one P(3) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Cr(1), one Mn(2), and one P(2) atom. In the sixth O site, O(6) is bonded in a distorted bent 120 degrees geometry to one Mn(3) and one P(2) atom. In the seventh O site, O(7) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(3) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(3), and one P(3) atom. In the ninth O site, O(9) is bonded in a distorted bent 120 degrees geometry to one Cr(1) and one P(2) atom. In the tenth O site, O(10) is bonded in a bent 120 degrees geometry to one Mn(3) and one P(1) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Cr(1), one Mn(2), and one P(4) atom. In the twelfth O site, O(12) is bonded in a distorted bent 150 degrees geometry to one Mn(1) and one P(4) atom.