Cr3Mn(PO4)6 crystallizes in the trigonal R3 space group. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to three equivalent O(2) and three equivalent O(5) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the second Cr site, Cr(2) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the third Cr site, Cr(3) is bonded to three equivalent O(7) and three equivalent O(8) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. Mn(1) is bonded to three equivalent O(4) and three equivalent O(6) atoms to form MnO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. There are two inequivalent P sites. In the first P site, P(1) is bonded to one O(2), one O(3), one O(4), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-33°. In the second P site, P(2) is bonded to one O(1), one O(5), one O(6), and one O(7) atom to form PO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 26-35°. There are eight inequivalent O sites. In the first O site, O(2) is bonded in a bent 150 degrees geometry to one Cr(1) and one P(1) atom. In the second O site, O(3) is bonded in a bent 150 degrees geometry to one Cr(2) and one P(1) atom. In the third O site, O(4) is bonded in a bent 150 degrees geometry to one Mn(1) and one P(1) atom. In the fourth O site, O(5) is bonded in a bent 150 degrees geometry to one Cr(1) and one P(2) atom. In the fifth O site, O(6) is bonded in a bent 150 degrees geometry to one Mn(1) and one P(2) atom. In the sixth O site, O(7) is bonded in a bent 150 degrees geometry to one Cr(3) and one P(2) atom. In the seventh O site, O(8) is bonded in a bent 150 degrees geometry to one Cr(3) and one P(1) atom. In the eighth O site, O(1) is bonded in a bent 150 degrees geometry to one Cr(2) and one P(2) atom.
Cr3Mn(PO4)6 crystallizes in the trigonal R3 space group. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to three equivalent O(2) and three equivalent O(5) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. All Cr(1)-O(2) bond lengths are 1.93 Å. All Cr(1)-O(5) bond lengths are 1.92 Å. In the second Cr site, Cr(2) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. All Cr(2)-O(1) bond lengths are 1.92 Å. All Cr(2)-O(3) bond lengths are 1.94 Å. In the third Cr site, Cr(3) is bonded to three equivalent O(7) and three equivalent O(8) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. All Cr(3)-O(7) bond lengths are 1.93 Å. All Cr(3)-O(8) bond lengths are 1.92 Å. Mn(1) is bonded to three equivalent O(4) and three equivalent O(6) atoms to form MnO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. All Mn(1)-O(4) bond lengths are 1.89 Å. All Mn(1)-O(6) bond lengths are 1.94 Å. There are two inequivalent P sites. In the first P site, P(1) is bonded to one O(2), one O(3), one O(4), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-33°. The P(1)-O(2) bond length is 1.54 Å. The P(1)-O(3) bond length is 1.54 Å. The P(1)-O(4) bond length is 1.54 Å. The P(1)-O(8) bond length is 1.53 Å. In the second P site, P(2) is bonded to one O(1), one O(5), one O(6), and one O(7) atom to form PO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 26-35°. The P(2)-O(1) bond length is 1.53 Å. The P(2)-O(5) bond length is 1.53 Å. The P(2)-O(6) bond length is 1.54 Å. The P(2)-O(7) bond length is 1.54 Å. There are eight inequivalent O sites. In the first O site, O(2) is bonded in a bent 150 degrees geometry to one Cr(1) and one P(1) atom. In the second O site, O(3) is bonded in a bent 150 degrees geometry to one Cr(2) and one P(1) atom. In the third O site, O(4) is bonded in a bent 150 degrees geometry to one Mn(1) and one P(1) atom. In the fourth O site, O(5) is bonded in a bent 150 degrees geometry to one Cr(1) and one P(2) atom. In the fifth O site, O(6) is bonded in a bent 150 degrees geometry to one Mn(1) and one P(2) atom. In the sixth O site, O(7) is bonded in a bent 150 degrees geometry to one Cr(3) and one P(2) atom. In the seventh O site, O(8) is bonded in a bent 150 degrees geometry to one Cr(3) and one P(1) atom. In the eighth O site, O(1) is bonded in a bent 150 degrees geometry to one Cr(2) and one P(2) atom.