The material structure described by La4Al6O15 crystallizes in the triclinic P1 space group. There are seven inequivalent La sites. In the first La site, La(1,6) is bonded in a 7-coordinate geometry to one O(2); one O(25); one O(7,16); two equivalent O(10,15); and two equivalent O(3,21) atoms. In the second La site, La(2) is bonded in a 8-coordinate geometry to one O(1,24); one O(10,15); one O(23); one O(3,21); one O(7,16); one O(9); and two equivalent O(11) atoms. In the third La site, La(3) is bonded in a 7-coordinate geometry to one O(13), one O(14), one O(19), one O(27), one O(30), one O(6), and one O(8) atom. In the fourth La site, La(4) is bonded in a 8-coordinate geometry to one O(14), one O(22), one O(28), one O(4), one O(5), one O(8), and two equivalent O(17) atoms. In the fifth La site, La(5) is bonded in a 8-coordinate geometry to one O(1,24); one O(10,15); one O(2); one O(26); one O(3,21); one O(7,16); and two equivalent O(12) atoms. In the sixth La site, La(7) is bonded in a 8-coordinate geometry to one O(13), one O(19), one O(20), one O(27), one O(29), one O(6), and two equivalent O(18) atoms. In the seventh La site, La(8) is bonded in a 7-coordinate geometry to one O(14), one O(19), one O(22), one O(27), one O(28), one O(30), and one O(8) atom. There are nine inequivalent Al sites. In the first Al site, Al(1,9) is bonded to one O(1,24); one O(2); one O(4); and one O(7,16) atom to form corner-sharing AlO4 tetrahedra. In the second Al site, Al(2,8) is bonded to one O(1,24); one O(10,15); one O(25); and one O(3,21) atom to form corner-sharing AlO4 tetrahedra. In the third Al site, Al(3,7) is bonded to one O(12), one O(17), one O(2), and one O(4) atom to form a mixture of edge and corner-sharing AlO4 tetrahedra. In the fourth Al site, Al(4) is bonded to one O(13), one O(29), one O(6), and one O(9) atom to form corner-sharing AlO4 tetrahedra. In the fifth Al site, Al(5) is bonded to one O(14), one O(30), one O(5), and one O(8) atom to form corner-sharing AlO4 tetrahedra. In the sixth Al site, Al(6) is bonded to one O(11), one O(18), one O(6), and one O(9) atom to form a mixture of edge and corner-sharing AlO4 tetrahedra. In the seventh Al site, Al(10) is bonded to one O(12), one O(17), one O(26), and one O(28) atom to form a mixture of edge and corner-sharing AlO4 tetrahedra. In the eighth Al site, Al(11) is bonded to one O(19), one O(27), one O(29), and one O(30) atom to form corner-sharing AlO4 tetrahedra. In the ninth Al site, Al(12) is bonded to one O(22), one O(26), one O(28), and one O(5) atom to form corner-sharing AlO4 tetrahedra. There are twenty-six inequivalent O sites. In the first O site, O(1,24) is bonded in a 3-coordinate geometry to one La(2); one Al(1,9); and one Al(2,8) atom. In the second O site, O(2) is bonded in a distorted bent 120 degrees geometry to one La(1,6); one La(5); one Al(1,9); and one Al(3,7) atom. In the third O site, O(3,21) is bonded in a 4-coordinate geometry to one La(2); two equivalent La(1,6); and one Al(2,8) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one La(4); one Al(1,9); and one Al(3,7) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one La(4), one Al(12), and one Al(5) atom. In the sixth O site, O(6) is bonded in a distorted bent 120 degrees geometry to one La(3), one La(7), one Al(4), and one Al(6) atom. In the seventh O site, O(7,16) is bonded in a distorted trigonal planar geometry to one La(1,6); one La(5); and one Al(1,9) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one La(3), one La(4), one La(8), and one Al(5) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one La(2), one Al(4), and one Al(6) atom. In the tenth O site, O(10,15) is bonded in a 4-coordinate geometry to one La(2); two equivalent La(1,6); and one Al(2,8) atom. In the eleventh O site, O(11) is bonded in a distorted L-shaped geometry to two equivalent La(2); one Al(3,7); and one Al(6) atom. In the twelfth O site, O(12) is bonded in a distorted L-shaped geometry to two equivalent La(5); one Al(10); and one Al(3,7) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one La(3), one La(7), and one Al(4) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one La(3), one La(4), one La(8), and one Al(5) atom. In the fifteenth O site, O(17) is bonded in a distorted L-shaped geometry to two equivalent La(4); one Al(10); and one Al(3,7) atom. In the sixteenth O site, O(18) is bonded in a distorted L-shaped geometry to two equivalent La(7); one Al(3,7); and one Al(6) atom. In the seventeenth O site, O(19) is bonded in a 4-coordinate geometry to one La(3), one La(7), one La(8), and one Al(11) atom. In the eighteenth O site, O(20) is bonded in a 3-coordinate geometry to one La(7); one Al(1,9); and one Al(3,7) atom. In the nineteenth O site, O(22) is bonded in a distorted trigonal planar geometry to one La(4), one La(8), and one Al(12) atom. In the twentieth O site, O(23) is bonded in a distorted bent 120 degrees geometry to one La(1,6); one La(2); one Al(1,9); and one Al(3,7) atom. In the twenty-first O site, O(25) is bonded in a 4-coordinate geometry to two equivalent La(1,6) and two equivalent Al(2,8) atoms. In the twenty-second O site, O(26) is bonded in a 3-coordinate geometry to one La(5), one Al(10), and one Al(12) atom. In the twenty-third O site, O(27) is bonded in a 3-coordinate geometry to one La(3), one La(7), one La(8), and one Al(11) atom. In the twenty-fourth O site, O(28) is bonded in a distorted bent 120 degrees geometry to one La(4), one La(8), one Al(10), and one Al(12) atom. In the twenty-fifth O site, O(29) is bonded in a 3-coordinate geometry to one La(7), one Al(11), and one Al(4) atom. In the twenty-sixth O site, O(30) is bonded in a 4-coordinate geometry to one La(3), one La(8), one Al(11), and one Al(5) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_La4Al6O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.969
_cell_length_b   6.969
_cell_length_c   21.220
_cell_angle_alpha   86.584
_cell_angle_beta   86.584
_cell_angle_gamma   42.534
_symmetry_Int_Tables_number   1
_cell_volume   695.217
_cell_formula_units_Z   2
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
  La  La0  1  0.664  0.057  0.050  1.0
  La  La1  1  0.642  0.062  0.853  1.0
  La  La2  1  0.040  0.675  0.549  1.0
  La  La3  1  0.063  0.644  0.352  1.0
  La  La4  1  0.938  0.358  0.147  1.0
  La  La5  1  0.943  0.336  0.950  1.0
  La  La6  1  0.356  0.937  0.648  1.0
  La  La7  1  0.318  0.950  0.451  1.0
  Al  Al8  1  0.205  0.621  0.165  1.0
  Al  Al9  1  0.185  0.651  0.945  1.0
  Al  Al10  1  0.649  0.020  0.225  1.0
  Al  Al11  1  0.612  0.210  0.665  1.0
  Al  Al12  1  0.641  0.194  0.445  1.0
  Al  Al13  1  0.013  0.653  0.725  1.0
  Al  Al14  1  0.980  0.351  0.775  1.0
  Al  Al15  1  0.349  0.815  0.055  1.0
  Al  Al16  1  0.379  0.795  0.835  1.0
  Al  Al17  1  0.347  0.987  0.275  1.0
  Al  Al18  1  0.798  0.352  0.555  1.0
  Al  Al19  1  0.790  0.388  0.335  1.0
  O  O20  1  0.126  0.809  0.870  1.0
  O  O21  1  0.561  0.279  0.172  1.0
  O  O22  1  0.535  0.307  0.948  1.0
  O  O23  1  0.019  0.738  0.238  1.0
  O  O24  1  0.800  0.132  0.370  1.0
  O  O25  1  0.272  0.567  0.671  1.0
  O  O26  1  0.023  0.612  0.112  1.0
  O  O27  1  0.299  0.546  0.448  1.0
  O  O28  1  0.731  0.023  0.738  1.0
  O  O29  1  0.908  0.687  0.958  1.0
  O  O30  1  0.089  0.491  0.802  1.0
  O  O31  1  0.509  0.911  0.198  1.0
  O  O32  1  0.606  0.022  0.613  1.0
  O  O33  1  0.675  0.918  0.459  1.0
  O  O34  1  0.313  0.092  0.042  1.0
  O  O35  1  0.388  0.977  0.888  1.0
  O  O36  1  0.485  0.097  0.303  1.0
  O  O37  1  0.903  0.515  0.697  1.0
  O  O38  1  0.075  0.315  0.541  1.0
  O  O39  1  0.262  0.981  0.762  1.0
  O  O40  1  0.693  0.465  0.052  1.0
  O  O41  1  0.966  0.390  0.388  1.0
  O  O42  1  0.721  0.439  0.828  1.0
  O  O43  1  0.191  0.874  0.130  1.0
  O  O44  1  0.118  0.882  0.000  1.0
  O  O45  1  0.977  0.269  0.262  1.0
  O  O46  1  0.454  0.701  0.552  1.0
  O  O47  1  0.433  0.728  0.329  1.0
  O  O48  1  0.868  0.200  0.630  1.0
  O  O49  1  0.867  0.124  0.500  1.0
[/CIF]
.
The material structure described by La4Al6O15 crystallizes in the triclinic P1 space group. There are seven inequivalent La sites. In the first La site, La(1,6) is bonded in a 7-coordinate geometry to one O(2); one O(25); one O(7,16); two equivalent O(10,15); and two equivalent O(3,21) atoms. In the second La site, La(2) is bonded in a 8-coordinate geometry to one O(1,24); one O(10,15); one O(23); one O(3,21); one O(7,16); one O(9); and two equivalent O(11) atoms. In the third La site, La(3) is bonded in a 7-coordinate geometry to one O(13), one O(14), one O(19), one O(27), one O(30), one O(6), and one O(8) atom. In the fourth La site, La(4) is bonded in a 8-coordinate geometry to one O(14), one O(22), one O(28), one O(4), one O(5), one O(8), and two equivalent O(17) atoms. In the fifth La site, La(5) is bonded in a 8-coordinate geometry to one O(1,24); one O(10,15); one O(2); one O(26); one O(3,21); one O(7,16); and two equivalent O(12) atoms. In the sixth La site, La(7) is bonded in a 8-coordinate geometry to one O(13), one O(19), one O(20), one O(27), one O(29), one O(6), and two equivalent O(18) atoms. In the seventh La site, La(8) is bonded in a 7-coordinate geometry to one O(14), one O(19), one O(22), one O(27), one O(28), one O(30), and one O(8) atom. There are nine inequivalent Al sites. In the first Al site, Al(1,9) is bonded to one O(1,24); one O(2); one O(4); and one O(7,16) atom to form corner-sharing AlO4 tetrahedra. In the second Al site, Al(2,8) is bonded to one O(1,24); one O(10,15); one O(25); and one O(3,21) atom to form corner-sharing AlO4 tetrahedra. In the third Al site, Al(3,7) is bonded to one O(12), one O(17), one O(2), and one O(4) atom to form a mixture of edge and corner-sharing AlO4 tetrahedra. In the fourth Al site, Al(4) is bonded to one O(13), one O(29), one O(6), and one O(9) atom to form corner-sharing AlO4 tetrahedra. In the fifth Al site, Al(5) is bonded to one O(14), one O(30), one O(5), and one O(8) atom to form corner-sharing AlO4 tetrahedra. In the sixth Al site, Al(6) is bonded to one O(11), one O(18), one O(6), and one O(9) atom to form a mixture of edge and corner-sharing AlO4 tetrahedra. In the seventh Al site, Al(10) is bonded to one O(12), one O(17), one O(26), and one O(28) atom to form a mixture of edge and corner-sharing AlO4 tetrahedra. In the eighth Al site, Al(11) is bonded to one O(19), one O(27), one O(29), and one O(30) atom to form corner-sharing AlO4 tetrahedra. In the ninth Al site, Al(12) is bonded to one O(22), one O(26), one O(28), and one O(5) atom to form corner-sharing AlO4 tetrahedra. There are twenty-six inequivalent O sites. In the first O site, O(1,24) is bonded in a 3-coordinate geometry to one La(2); one Al(1,9); and one Al(2,8) atom. In the second O site, O(2) is bonded in a distorted bent 120 degrees geometry to one La(1,6); one La(5); one Al(1,9); and one Al(3,7) atom. In the third O site, O(3,21) is bonded in a 4-coordinate geometry to one La(2); two equivalent La(1,6); and one Al(2,8) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one La(4); one Al(1,9); and one Al(3,7) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one La(4), one Al(12), and one Al(5) atom. In the sixth O site, O(6) is bonded in a distorted bent 120 degrees geometry to one La(3), one La(7), one Al(4), and one Al(6) atom. In the seventh O site, O(7,16) is bonded in a distorted trigonal planar geometry to one La(1,6); one La(5); and one Al(1,9) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one La(3), one La(4), one La(8), and one Al(5) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one La(2), one Al(4), and one Al(6) atom. In the tenth O site, O(10,15) is bonded in a 4-coordinate geometry to one La(2); two equivalent La(1,6); and one Al(2,8) atom. In the eleventh O site, O(11) is bonded in a distorted L-shaped geometry to two equivalent La(2); one Al(3,7); and one Al(6) atom. In the twelfth O site, O(12) is bonded in a distorted L-shaped geometry to two equivalent La(5); one Al(10); and one Al(3,7) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one La(3), one La(7), and one Al(4) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one La(3), one La(4), one La(8), and one Al(5) atom. In the fifteenth O site, O(17) is bonded in a distorted L-shaped geometry to two equivalent La(4); one Al(10); and one Al(3,7) atom. In the sixteenth O site, O(18) is bonded in a distorted L-shaped geometry to two equivalent La(7); one Al(3,7); and one Al(6) atom. In the seventeenth O site, O(19) is bonded in a 4-coordinate geometry to one La(3), one La(7), one La(8), and one Al(11) atom. In the eighteenth O site, O(20) is bonded in a 3-coordinate geometry to one La(7); one Al(1,9); and one Al(3,7) atom. In the nineteenth O site, O(22) is bonded in a distorted trigonal planar geometry to one La(4), one La(8), and one Al(12) atom. In the twentieth O site, O(23) is bonded in a distorted bent 120 degrees geometry to one La(1,6); one La(2); one Al(1,9); and one Al(3,7) atom. In the twenty-first O site, O(25) is bonded in a 4-coordinate geometry to two equivalent La(1,6) and two equivalent Al(2,8) atoms. In the twenty-second O site, O(26) is bonded in a 3-coordinate geometry to one La(5), one Al(10), and one Al(12) atom. In the twenty-third O site, O(27) is bonded in a 3-coordinate geometry to one La(3), one La(7), one La(8), and one Al(11) atom. In the twenty-fourth O site, O(28) is bonded in a distorted bent 120 degrees geometry to one La(4), one La(8), one Al(10), and one Al(12) atom. In the twenty-fifth O site, O(29) is bonded in a 3-coordinate geometry to one La(7), one Al(11), and one Al(4) atom. In the twenty-sixth O site, O(30) is bonded in a 4-coordinate geometry to one La(3), one La(8), one Al(11), and one Al(5) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_La4Al6O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.969
_cell_length_b   6.969
_cell_length_c   21.220
_cell_angle_alpha   86.584
_cell_angle_beta   86.584
_cell_angle_gamma   42.534
_symmetry_Int_Tables_number   1
_cell_volume   695.217
_cell_formula_units_Z   2
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
  La  La0  1  0.664  0.057  0.050  1.0
  La  La1  1  0.642  0.062  0.853  1.0
  La  La2  1  0.040  0.675  0.549  1.0
  La  La3  1  0.063  0.644  0.352  1.0
  La  La4  1  0.938  0.358  0.147  1.0
  La  La5  1  0.943  0.336  0.950  1.0
  La  La6  1  0.356  0.937  0.648  1.0
  La  La7  1  0.318  0.950  0.451  1.0
  Al  Al8  1  0.205  0.621  0.165  1.0
  Al  Al9  1  0.185  0.651  0.945  1.0
  Al  Al10  1  0.649  0.020  0.225  1.0
  Al  Al11  1  0.612  0.210  0.665  1.0
  Al  Al12  1  0.641  0.194  0.445  1.0
  Al  Al13  1  0.013  0.653  0.725  1.0
  Al  Al14  1  0.980  0.351  0.775  1.0
  Al  Al15  1  0.349  0.815  0.055  1.0
  Al  Al16  1  0.379  0.795  0.835  1.0
  Al  Al17  1  0.347  0.987  0.275  1.0
  Al  Al18  1  0.798  0.352  0.555  1.0
  Al  Al19  1  0.790  0.388  0.335  1.0
  O  O20  1  0.126  0.809  0.870  1.0
  O  O21  1  0.561  0.279  0.172  1.0
  O  O22  1  0.535  0.307  0.948  1.0
  O  O23  1  0.019  0.738  0.238  1.0
  O  O24  1  0.800  0.132  0.370  1.0
  O  O25  1  0.272  0.567  0.671  1.0
  O  O26  1  0.023  0.612  0.112  1.0
  O  O27  1  0.299  0.546  0.448  1.0
  O  O28  1  0.731  0.023  0.738  1.0
  O  O29  1  0.908  0.687  0.958  1.0
  O  O30  1  0.089  0.491  0.802  1.0
  O  O31  1  0.509  0.911  0.198  1.0
  O  O32  1  0.606  0.022  0.613  1.0
  O  O33  1  0.675  0.918  0.459  1.0
  O  O34  1  0.313  0.092  0.042  1.0
  O  O35  1  0.388  0.977  0.888  1.0
  O  O36  1  0.485  0.097  0.303  1.0
  O  O37  1  0.903  0.515  0.697  1.0
  O  O38  1  0.075  0.315  0.541  1.0
  O  O39  1  0.262  0.981  0.762  1.0
  O  O40  1  0.693  0.465  0.052  1.0
  O  O41  1  0.966  0.390  0.388  1.0
  O  O42  1  0.721  0.439  0.828  1.0
  O  O43  1  0.191  0.874  0.130  1.0
  O  O44  1  0.118  0.882  0.000  1.0
  O  O45  1  0.977  0.269  0.262  1.0
  O  O46  1  0.454  0.701  0.552  1.0
  O  O47  1  0.433  0.728  0.329  1.0
  O  O48  1  0.868  0.200  0.630  1.0
  O  O49  1  0.867  0.124  0.500  1.0
[/CIF]
.