The material structure described by Ti5Mn3O16 is Rutile-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the second Ti site, Ti(2) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Ti(4)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the third Ti site, Ti(3) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form TiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the fourth Ti site, Ti(4) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Ti(4)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Ti(1), one Ti(3), and one Mn(2) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Ti(3) and two equivalent Ti(2) atoms. In the third O site, O(3) is bonded in a distorted T-shaped geometry to two equivalent Ti(2) and one Mn(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to two equivalent Ti(2) and one Mn(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1) and two equivalent Mn(2) atoms. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(3), and one Mn(1) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Ti(4) and two equivalent Ti(2) atoms. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Ti(3) and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1), one Ti(4), and one Mn(2) atom. In the tenth O site, O(10) is bonded in a distorted T-shaped geometry to one Ti(1) and two equivalent Mn(2) atoms. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Ti(2), one Ti(4), and one Mn(1) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal non-coplanar geometry to one Ti(4) and two equivalent Mn(2) atoms. is represented by the CIF file [CIF]
data_Ti5Mn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.859
_cell_length_b   5.859
_cell_length_c   9.060
_cell_angle_alpha   89.400
_cell_angle_beta   89.400
_cell_angle_gamma   60.125
_symmetry_Int_Tables_number   1
_cell_volume   269.708
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Ti  Ti0  1  0.837  0.837  0.286  1.0
  Ti  Ti1  1  0.667  0.172  0.786  1.0
  Ti  Ti2  1  0.330  0.330  0.505  1.0
  Ti  Ti3  1  0.172  0.667  0.786  1.0
  Ti  Ti4  1  0.667  0.667  0.007  1.0
  Mn  Mn5  1  0.171  0.171  0.789  1.0
  Mn  Mn6  1  0.832  0.340  0.289  1.0
  Mn  Mn7  1  0.340  0.832  0.289  1.0
  O  O8  1  0.661  0.168  0.399  1.0
  O  O9  1  0.478  0.478  0.661  1.0
  O  O10  1  0.330  0.330  0.900  1.0
  O  O11  1  0.004  0.004  0.685  1.0
  O  O12  1  0.005  0.005  0.186  1.0
  O  O13  1  0.168  0.661  0.399  1.0
  O  O14  1  0.472  0.044  0.664  1.0
  O  O15  1  0.044  0.472  0.664  1.0
  O  O16  1  0.829  0.829  0.900  1.0
  O  O17  1  0.167  0.167  0.397  1.0
  O  O18  1  0.955  0.518  0.163  1.0
  O  O19  1  0.518  0.955  0.163  1.0
  O  O20  1  0.662  0.662  0.398  1.0
  O  O21  1  0.830  0.338  0.899  1.0
  O  O22  1  0.522  0.522  0.169  1.0
  O  O23  1  0.338  0.830  0.899  1.0
[/CIF]
.
The material structure described by Ti5Mn3O16 is Rutile-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the second Ti site, Ti(2) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Ti(4)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the third Ti site, Ti(3) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form TiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the fourth Ti site, Ti(4) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Ti(4)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Ti(1), one Ti(3), and one Mn(2) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Ti(3) and two equivalent Ti(2) atoms. In the third O site, O(3) is bonded in a distorted T-shaped geometry to two equivalent Ti(2) and one Mn(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to two equivalent Ti(2) and one Mn(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1) and two equivalent Mn(2) atoms. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(3), and one Mn(1) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Ti(4) and two equivalent Ti(2) atoms. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Ti(3) and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1), one Ti(4), and one Mn(2) atom. In the tenth O site, O(10) is bonded in a distorted T-shaped geometry to one Ti(1) and two equivalent Mn(2) atoms. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Ti(2), one Ti(4), and one Mn(1) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal non-coplanar geometry to one Ti(4) and two equivalent Mn(2) atoms. is represented by the CIF file [CIF]
data_Ti5Mn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.859
_cell_length_b   5.859
_cell_length_c   9.060
_cell_angle_alpha   89.400
_cell_angle_beta   89.400
_cell_angle_gamma   60.125
_symmetry_Int_Tables_number   1
_cell_volume   269.708
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Ti  Ti0  1  0.837  0.837  0.286  1.0
  Ti  Ti1  1  0.667  0.172  0.786  1.0
  Ti  Ti2  1  0.330  0.330  0.505  1.0
  Ti  Ti3  1  0.172  0.667  0.786  1.0
  Ti  Ti4  1  0.667  0.667  0.007  1.0
  Mn  Mn5  1  0.171  0.171  0.789  1.0
  Mn  Mn6  1  0.832  0.340  0.289  1.0
  Mn  Mn7  1  0.340  0.832  0.289  1.0
  O  O8  1  0.661  0.168  0.399  1.0
  O  O9  1  0.478  0.478  0.661  1.0
  O  O10  1  0.330  0.330  0.900  1.0
  O  O11  1  0.004  0.004  0.685  1.0
  O  O12  1  0.005  0.005  0.186  1.0
  O  O13  1  0.168  0.661  0.399  1.0
  O  O14  1  0.472  0.044  0.664  1.0
  O  O15  1  0.044  0.472  0.664  1.0
  O  O16  1  0.829  0.829  0.900  1.0
  O  O17  1  0.167  0.167  0.397  1.0
  O  O18  1  0.955  0.518  0.163  1.0
  O  O19  1  0.518  0.955  0.163  1.0
  O  O20  1  0.662  0.662  0.398  1.0
  O  O21  1  0.830  0.338  0.899  1.0
  O  O22  1  0.522  0.522  0.169  1.0
  O  O23  1  0.338  0.830  0.899  1.0
[/CIF]
.