The crystal structure described by Al2O3 crystallizes in the triclinic P1 space group. There are sixteen inequivalent Al sites. In the first Al site, Al(1) is bonded in a 2-coordinate geometry to one O(13), one O(22), and one O(6) atom. In the second Al site, Al(2) is bonded in a 4-coordinate geometry to one O(1), one O(2), one O(4), and one O(9) atom. In the third Al site, Al(3) is bonded in a distorted rectangular see-saw-like geometry to one O(14), one O(18), one O(20), one O(7), and one O(8) atom. In the fourth Al site, Al(4) is bonded in a 3-coordinate geometry to one O(1), one O(13), one O(3), and one O(6) atom. In the fifth Al site, Al(5) is bonded in a 4-coordinate geometry to one O(1), one O(2), one O(4), one O(8), and one O(9) atom. In the sixth Al site, Al(6) is bonded in a 5-coordinate geometry to one O(1), one O(14), one O(2), one O(4), and one O(9) atom. In the seventh Al site, Al(7) is bonded in a 1-coordinate geometry to one O(14), one O(18), one O(20), one O(7), and one O(8) atom. In the eighth Al site, Al(8) is bonded in a distorted single-bond geometry to one O(12), one O(15), and one O(23) atom. In the ninth Al site, Al(9) is bonded in a 5-coordinate geometry to one O(11), one O(16), one O(17), one O(5), and one O(7) atom. In the tenth Al site, Al(10) is bonded in a 2-coordinate geometry to one O(14), one O(18), one O(7), and one O(8) atom. In the eleventh Al site, Al(11) is bonded in a distorted linear geometry to one O(16), one O(24), one O(5), and one O(7) atom. In the twelfth Al site, Al(12) is bonded in a 4-coordinate geometry to one O(11), one O(16), one O(17), and one O(7) atom. In the thirteenth Al site, Al(13) is bonded in a 1-coordinate geometry to one O(12), one O(15), one O(21), and one O(22) atom. In the fourteenth Al site, Al(14) is bonded in a 1-coordinate geometry to one O(12), one O(15), one O(16), one O(19), and one O(22) atom. In the fifteenth Al site, Al(15) is bonded in a 1-coordinate geometry to one O(10), one O(12), and one O(22) atom. In the sixteenth Al site, Al(16) is bonded in a 1-coordinate geometry to one O(15), one O(19), and one O(22) atom. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Al(2), one Al(4), one Al(5), and one Al(6) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Al(2), one Al(5), and one Al(6) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one Al(4) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Al(2), one Al(5), and one Al(6) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one Al(11) and one Al(9) atom. In the sixth O site, O(6) is bonded in a distorted water-like geometry to one Al(1) and one Al(4) atom. In the seventh O site, O(7) is bonded in a 6-coordinate geometry to one Al(10), one Al(11), one Al(12), one Al(3), one Al(7), and one Al(9) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Al(10), one Al(3), one Al(5), and one Al(7) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Al(2), one Al(5), and one Al(6) atom. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one Al(15) atom. In the eleventh O site, O(11) is bonded in a distorted single-bond geometry to one Al(12) and one Al(9) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Al(13), one Al(14), one Al(15), and one Al(8) atom. In the thirteenth O site, O(13) is bonded in a water-like geometry to one Al(1) and one Al(4) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Al(10), one Al(3), one Al(6), and one Al(7) atom. In the fifteenth O site, O(15) is bonded in a distorted rectangular see-saw-like geometry to one Al(13), one Al(14), one Al(16), and one Al(8) atom. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Al(11), one Al(12), one Al(14), and one Al(9) atom. In the seventeenth O site, O(17) is bonded in a bent 150 degrees geometry to one Al(12) and one Al(9) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Al(10), one Al(3), and one Al(7) atom. In the nineteenth O site, O(19) is bonded in a distorted water-like geometry to one Al(14) and one Al(16) atom. In the twentieth O site, O(20) is bonded in a 2-coordinate geometry to one Al(3) and one Al(7) atom. In the twenty-first O site, O(21) is bonded in a distorted single-bond geometry to one Al(13) atom. In the twenty-second O site, O(22) is bonded in a 5-coordinate geometry to one Al(1), one Al(13), one Al(14), one Al(15), and one Al(16) atom. In the twenty-third O site, O(23) is bonded in a single-bond geometry to one Al(8) atom. In the twenty-fourth O site, O(24) is bonded in a distorted single-bond geometry to one Al(11) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Al2O3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.592
_cell_length_b   5.882
_cell_length_c   14.192
_cell_angle_alpha   101.803
_cell_angle_beta   86.745
_cell_angle_gamma   115.412
_symmetry_Int_Tables_number   1
_cell_volume   412.467
_cell_formula_units_Z   8
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
  Al  Al0  1  0.919  0.030  0.093  1.0
  Al  Al1  1  0.967  0.487  0.267  1.0
  Al  Al2  1  0.632  0.053  0.427  1.0
  Al  Al3  1  0.410  0.018  0.121  1.0
  Al  Al4  1  0.750  0.945  0.284  1.0
  Al  Al5  1  0.269  0.059  0.262  1.0
  Al  Al6  1  0.383  0.485  0.442  1.0
  Al  Al7  1  0.129  0.952  0.818  1.0
  Al  Al8  1  0.296  0.532  0.620  1.0
  Al  Al9  1  0.109  0.958  0.449  1.0
  Al  Al10  1  0.221  0.989  0.655  1.0
  Al  Al11  1  0.682  0.084  0.608  1.0
  Al  Al12  1  0.050  0.363  0.849  1.0
  Al  Al13  1  0.615  0.797  0.842  1.0
  Al  Al14  1  0.000  0.597  0.052  1.0
  Al  Al15  1  0.519  0.101  0.939  1.0
  O  O16  1  0.391  0.797  0.251  1.0
  O  O17  1  0.078  0.241  0.263  1.0
  O  O18  1  0.352  0.849  0.052  1.0
  O  O19  1  0.919  0.795  0.254  1.0
  O  O20  1  0.125  0.782  0.581  1.0
  O  O21  1  0.757  0.216  0.104  1.0
  O  O22  1  0.476  0.298  0.566  1.0
  O  O23  1  0.748  0.785  0.415  1.0
  O  O24  1  0.626  0.224  0.280  1.0
  O  O25  1  0.928  0.693  0.126  1.0
  O  O26  1  0.601  0.841  0.560  1.0
  O  O27  1  0.903  0.702  0.931  1.0
  O  O28  1  0.251  0.231  0.115  1.0
  O  O29  1  0.443  0.261  0.413  1.0
  O  O30  1  0.391  0.382  0.891  1.0
  O  O31  1  0.511  0.852  0.720  1.0
  O  O32  1  0.025  0.247  0.593  1.0
  O  O33  1  0.282  0.798  0.409  1.0
  O  O34  1  0.415  0.859  0.895  1.0
  O  O35  1  0.003  0.280  0.408  1.0
  O  O36  1  0.912  0.150  0.793  1.0
  O  O37  1  0.866  0.174  0.960  1.0
  O  O38  1  0.023  0.708  0.770  1.0
  O  O39  1  0.355  0.244  0.726  1.0
[/CIF]
.
The crystal structure described by Al2O3 crystallizes in the triclinic P1 space group. There are sixteen inequivalent Al sites. In the first Al site, Al(1) is bonded in a 2-coordinate geometry to one O(13), one O(22), and one O(6) atom. In the second Al site, Al(2) is bonded in a 4-coordinate geometry to one O(1), one O(2), one O(4), and one O(9) atom. In the third Al site, Al(3) is bonded in a distorted rectangular see-saw-like geometry to one O(14), one O(18), one O(20), one O(7), and one O(8) atom. In the fourth Al site, Al(4) is bonded in a 3-coordinate geometry to one O(1), one O(13), one O(3), and one O(6) atom. In the fifth Al site, Al(5) is bonded in a 4-coordinate geometry to one O(1), one O(2), one O(4), one O(8), and one O(9) atom. In the sixth Al site, Al(6) is bonded in a 5-coordinate geometry to one O(1), one O(14), one O(2), one O(4), and one O(9) atom. In the seventh Al site, Al(7) is bonded in a 1-coordinate geometry to one O(14), one O(18), one O(20), one O(7), and one O(8) atom. In the eighth Al site, Al(8) is bonded in a distorted single-bond geometry to one O(12), one O(15), and one O(23) atom. In the ninth Al site, Al(9) is bonded in a 5-coordinate geometry to one O(11), one O(16), one O(17), one O(5), and one O(7) atom. In the tenth Al site, Al(10) is bonded in a 2-coordinate geometry to one O(14), one O(18), one O(7), and one O(8) atom. In the eleventh Al site, Al(11) is bonded in a distorted linear geometry to one O(16), one O(24), one O(5), and one O(7) atom. In the twelfth Al site, Al(12) is bonded in a 4-coordinate geometry to one O(11), one O(16), one O(17), and one O(7) atom. In the thirteenth Al site, Al(13) is bonded in a 1-coordinate geometry to one O(12), one O(15), one O(21), and one O(22) atom. In the fourteenth Al site, Al(14) is bonded in a 1-coordinate geometry to one O(12), one O(15), one O(16), one O(19), and one O(22) atom. In the fifteenth Al site, Al(15) is bonded in a 1-coordinate geometry to one O(10), one O(12), and one O(22) atom. In the sixteenth Al site, Al(16) is bonded in a 1-coordinate geometry to one O(15), one O(19), and one O(22) atom. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Al(2), one Al(4), one Al(5), and one Al(6) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Al(2), one Al(5), and one Al(6) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one Al(4) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Al(2), one Al(5), and one Al(6) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one Al(11) and one Al(9) atom. In the sixth O site, O(6) is bonded in a distorted water-like geometry to one Al(1) and one Al(4) atom. In the seventh O site, O(7) is bonded in a 6-coordinate geometry to one Al(10), one Al(11), one Al(12), one Al(3), one Al(7), and one Al(9) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Al(10), one Al(3), one Al(5), and one Al(7) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Al(2), one Al(5), and one Al(6) atom. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one Al(15) atom. In the eleventh O site, O(11) is bonded in a distorted single-bond geometry to one Al(12) and one Al(9) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Al(13), one Al(14), one Al(15), and one Al(8) atom. In the thirteenth O site, O(13) is bonded in a water-like geometry to one Al(1) and one Al(4) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Al(10), one Al(3), one Al(6), and one Al(7) atom. In the fifteenth O site, O(15) is bonded in a distorted rectangular see-saw-like geometry to one Al(13), one Al(14), one Al(16), and one Al(8) atom. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Al(11), one Al(12), one Al(14), and one Al(9) atom. In the seventeenth O site, O(17) is bonded in a bent 150 degrees geometry to one Al(12) and one Al(9) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Al(10), one Al(3), and one Al(7) atom. In the nineteenth O site, O(19) is bonded in a distorted water-like geometry to one Al(14) and one Al(16) atom. In the twentieth O site, O(20) is bonded in a 2-coordinate geometry to one Al(3) and one Al(7) atom. In the twenty-first O site, O(21) is bonded in a distorted single-bond geometry to one Al(13) atom. In the twenty-second O site, O(22) is bonded in a 5-coordinate geometry to one Al(1), one Al(13), one Al(14), one Al(15), and one Al(16) atom. In the twenty-third O site, O(23) is bonded in a single-bond geometry to one Al(8) atom. In the twenty-fourth O site, O(24) is bonded in a distorted single-bond geometry to one Al(11) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Al2O3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.592
_cell_length_b   5.882
_cell_length_c   14.192
_cell_angle_alpha   101.803
_cell_angle_beta   86.745
_cell_angle_gamma   115.412
_symmetry_Int_Tables_number   1
_cell_volume   412.467
_cell_formula_units_Z   8
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
  Al  Al0  1  0.919  0.030  0.093  1.0
  Al  Al1  1  0.967  0.487  0.267  1.0
  Al  Al2  1  0.632  0.053  0.427  1.0
  Al  Al3  1  0.410  0.018  0.121  1.0
  Al  Al4  1  0.750  0.945  0.284  1.0
  Al  Al5  1  0.269  0.059  0.262  1.0
  Al  Al6  1  0.383  0.485  0.442  1.0
  Al  Al7  1  0.129  0.952  0.818  1.0
  Al  Al8  1  0.296  0.532  0.620  1.0
  Al  Al9  1  0.109  0.958  0.449  1.0
  Al  Al10  1  0.221  0.989  0.655  1.0
  Al  Al11  1  0.682  0.084  0.608  1.0
  Al  Al12  1  0.050  0.363  0.849  1.0
  Al  Al13  1  0.615  0.797  0.842  1.0
  Al  Al14  1  0.000  0.597  0.052  1.0
  Al  Al15  1  0.519  0.101  0.939  1.0
  O  O16  1  0.391  0.797  0.251  1.0
  O  O17  1  0.078  0.241  0.263  1.0
  O  O18  1  0.352  0.849  0.052  1.0
  O  O19  1  0.919  0.795  0.254  1.0
  O  O20  1  0.125  0.782  0.581  1.0
  O  O21  1  0.757  0.216  0.104  1.0
  O  O22  1  0.476  0.298  0.566  1.0
  O  O23  1  0.748  0.785  0.415  1.0
  O  O24  1  0.626  0.224  0.280  1.0
  O  O25  1  0.928  0.693  0.126  1.0
  O  O26  1  0.601  0.841  0.560  1.0
  O  O27  1  0.903  0.702  0.931  1.0
  O  O28  1  0.251  0.231  0.115  1.0
  O  O29  1  0.443  0.261  0.413  1.0
  O  O30  1  0.391  0.382  0.891  1.0
  O  O31  1  0.511  0.852  0.720  1.0
  O  O32  1  0.025  0.247  0.593  1.0
  O  O33  1  0.282  0.798  0.409  1.0
  O  O34  1  0.415  0.859  0.895  1.0
  O  O35  1  0.003  0.280  0.408  1.0
  O  O36  1  0.912  0.150  0.793  1.0
  O  O37  1  0.866  0.174  0.960  1.0
  O  O38  1  0.023  0.708  0.770  1.0
  O  O39  1  0.355  0.244  0.726  1.0
[/CIF]
.