The structure described by Sc2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the monoclinic Pm space group. There are two inequivalent Sc sites. In the first Sc site, Sc(1) is bonded in a 6-coordinate geometry to two equivalent O(5), two equivalent O(6), and two equivalent O(7) atoms. In the second Sc site, Sc(2) is bonded in a 6-coordinate geometry to two equivalent O(7), two equivalent O(8), and two equivalent O(9) atoms. There are eight inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a body-centered cubic geometry to two equivalent O(10), two equivalent O(11), two equivalent O(8), and two equivalent O(9) atoms. In the second Zr site, Zr(2) is bonded in a body-centered cubic geometry to two equivalent O(10), two equivalent O(11), two equivalent O(12), and two equivalent O(13) atoms. In the third Zr site, Zr(3) is bonded in a body-centered cubic geometry to two equivalent O(12), two equivalent O(13), two equivalent O(14), and two equivalent O(15) atoms. In the fourth Zr site, Zr(4) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(14), two equivalent O(15), and two equivalent O(16) atoms. In the fifth Zr site, Zr(5) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(16), two equivalent O(17), and two equivalent O(2) atoms. In the sixth Zr site, Zr(6) is bonded in a body-centered cubic geometry to two equivalent O(17), two equivalent O(18), two equivalent O(2), and two equivalent O(3) atoms. In the seventh Zr site, Zr(7) is bonded in a body-centered cubic geometry to two equivalent O(19), two equivalent O(4), two equivalent O(5), and two equivalent O(6) atoms. In the eighth Zr site, Zr(8) is bonded in a body-centered cubic geometry to two equivalent O(18), two equivalent O(19), two equivalent O(3), and two equivalent O(4) atoms. There are nineteen inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Zr(4) and two equivalent Zr(5) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the second O site, O(2) is bonded to two equivalent Zr(5) and two equivalent Zr(6) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the third O site, O(3) is bonded to two equivalent Zr(6) and two equivalent Zr(8) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O site, O(4) is bonded to two equivalent Zr(7) and two equivalent Zr(8) atoms to form OZr4 tetrahedra that share corners with two equivalent O(6)Zr2Sc2 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with four equivalent O(5)Zr2Sc2 tetrahedra, corners with four equivalent O(3)Zr4 tetrahedra, corners with four equivalent O(4)Zr4 tetrahedra,  an edgeedge with one O(6)Zr2Sc2 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra, and edges with four equivalent O(19)Zr4 tetrahedra. In the fifth O site, O(5) is bonded to two equivalent Sc(1) and two equivalent Zr(7) atoms to form OZr2Sc2 tetrahedra that share corners with two equivalent O(7)Sc4 tetrahedra, corners with two equivalent O(19)Zr4 tetrahedra, corners with four equivalent O(5)Zr2Sc2 tetrahedra, corners with four equivalent O(4)Zr4 tetrahedra,  an edgeedge with one O(7)Sc4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra, and edges with four equivalent O(6)Zr2Sc2 tetrahedra. In the sixth O site, O(6) is bonded to two equivalent Sc(1) and two equivalent Zr(7) atoms to form OZr2Sc2 tetrahedra that share corners with two equivalent O(4)Zr4 tetrahedra, corners with four equivalent O(7)Sc4 tetrahedra, corners with four equivalent O(6)Zr2Sc2 tetrahedra, corners with four equivalent O(19)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and edges with four equivalent O(5)Zr2Sc2 tetrahedra. In the seventh O site, O(7) is bonded to two equivalent Sc(1) and two equivalent Sc(2) atoms to form OSc4 tetrahedra that share corners with two equivalent O(5)Zr2Sc2 tetrahedra, corners with two equivalent O(8)Zr2Sc2 tetrahedra, corners with four equivalent O(7)Sc4 tetrahedra, corners with four equivalent O(6)Zr2Sc2 tetrahedra, corners with four equivalent O(9)Zr2Sc2 tetrahedra,  an edgeedge with one O(5)Zr2Sc2 tetrahedra, and  an edgeedge with one O(8)Zr2Sc2 tetrahedra. In the eighth O site, O(8) is bonded to two equivalent Sc(2) and two equivalent Zr(1) atoms to form OZr2Sc2 tetrahedra that share corners with two equivalent O(7)Sc4 tetrahedra, corners with two equivalent O(11)Zr4 tetrahedra, corners with four equivalent O(8)Zr2Sc2 tetrahedra, corners with four equivalent O(10)Zr4 tetrahedra,  an edgeedge with one O(7)Sc4 tetrahedra,  an edgeedge with one O(11)Zr4 tetrahedra, and edges with four equivalent O(9)Zr2Sc2 tetrahedra. In the ninth O site, O(9) is bonded to two equivalent Sc(2) and two equivalent Zr(1) atoms to form OZr2Sc2 tetrahedra that share corners with two equivalent O(10)Zr4 tetrahedra, corners with four equivalent O(7)Sc4 tetrahedra, corners with four equivalent O(9)Zr2Sc2 tetrahedra, corners with four equivalent O(11)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra, and edges with four equivalent O(8)Zr2Sc2 tetrahedra. In the tenth O site, O(10) is bonded to two equivalent Zr(1) and two equivalent Zr(2) atoms to form OZr4 tetrahedra that share corners with two equivalent O(9)Zr2Sc2 tetrahedra, corners with two equivalent O(13)Zr4 tetrahedra, corners with four equivalent O(8)Zr2Sc2 tetrahedra, corners with four equivalent O(10)Zr4 tetrahedra, corners with four equivalent O(12)Zr4 tetrahedra,  an edgeedge with one O(9)Zr2Sc2 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra, and edges with four equivalent O(11)Zr4 tetrahedra. In the eleventh O site, O(11) is bonded to two equivalent Zr(1) and two equivalent Zr(2) atoms to form OZr4 tetrahedra that share corners with two equivalent O(8)Zr2Sc2 tetrahedra, corners with two equivalent O(12)Zr4 tetrahedra, corners with four equivalent O(9)Zr2Sc2 tetrahedra, corners with four equivalent O(11)Zr4 tetrahedra, corners with four equivalent O(13)Zr4 tetrahedra,  an edgeedge with one O(8)Zr2Sc2 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra, and edges with four equivalent O(10)Zr4 tetrahedra. In the twelfth O site, O(12) is bonded to two equivalent Zr(2) and two equivalent Zr(3) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirteenth O site, O(13) is bonded to two equivalent Zr(2) and two equivalent Zr(3) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourteenth O site, O(14) is bonded to two equivalent Zr(3) and two equivalent Zr(4) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifteenth O site, O(15) is bonded to two equivalent Zr(3) and two equivalent Zr(4) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixteenth O site, O(16) is bonded to two equivalent Zr(4) and two equivalent Zr(5) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventeenth O site, O(17) is bonded to two equivalent Zr(5) and two equivalent Zr(6) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighteenth O site, O(18) is bonded to two equivalent Zr(6) and two equivalent Zr(8) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the nineteenth O site, O(19) is bonded to two equivalent Zr(7) and two equivalent Zr(8) atoms to form OZr4 tetrahedra that share corners with two equivalent O(5)Zr2Sc2 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with four equivalent O(6)Zr2Sc2 tetrahedra, corners with four equivalent O(18)Zr4 tetrahedra, corners with four equivalent O(19)Zr4 tetrahedra,  an edgeedge with one O(5)Zr2Sc2 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and edges with four equivalent O(4)Zr4 tetrahedra. is represented by the CIF file [CIF]
data_Zr8Sc2O19
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.546
_cell_length_b   36.126
_cell_length_c   34.417
_cell_angle_alpha   5.261
_cell_angle_beta   58.758
_cell_angle_gamma   60.389
_symmetry_Int_Tables_number   1
_cell_volume   331.265
_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
  Zr  Zr0  1  0.007  0.005  0.994  1.0
  Zr  Zr1  1  0.000  0.101  0.999  1.0
  Zr  Zr2  1  0.998  0.198  0.002  1.0
  Zr  Zr3  1  0.996  0.297  0.004  1.0
  Zr  Zr4  1  0.994  0.396  0.006  1.0
  Zr  Zr5  1  0.993  0.494  0.008  1.0
  Zr  Zr6  1  0.983  0.687  0.017  1.0
  Zr  Zr7  1  0.989  0.592  0.010  1.0
  Sc  Sc8  1  0.012  0.812  0.985  1.0
  Sc  Sc9  1  0.980  0.881  0.023  1.0
  O  O10  1  0.246  0.097  0.253  1.0
  O  O11  1  0.234  0.188  0.266  1.0
  O  O12  1  0.261  0.310  0.238  1.0
  O  O13  1  0.208  0.367  0.291  1.0
  O  O14  1  0.267  0.516  0.230  1.0
  O  O15  1  0.700  0.961  0.798  1.0
  O  O16  1  0.773  0.122  0.723  1.0
  O  O17  1  0.233  0.687  0.266  1.0
  O  O18  1  0.797  0.237  0.704  1.0
  O  O19  1  0.279  0.824  0.221  1.0
  O  O20  1  0.743  0.293  0.758  1.0
  O  O21  1  0.233  0.887  0.266  1.0
  O  O22  1  0.779  0.422  0.722  1.0
  O  O23  1  0.257  0.006  0.242  1.0
  O  O24  1  0.751  0.500  0.750  1.0
  O  O25  1  0.759  0.607  0.742  1.0
  O  O26  1  0.764  0.711  0.736  1.0
  O  O27  1  0.735  0.787  0.766  1.0
  O  O28  1  0.775  0.919  0.726  1.0
[/CIF]
.
The structure described by Sc2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the monoclinic Pm space group. There are two inequivalent Sc sites. In the first Sc site, Sc(1) is bonded in a 6-coordinate geometry to two equivalent O(5), two equivalent O(6), and two equivalent O(7) atoms. In the second Sc site, Sc(2) is bonded in a 6-coordinate geometry to two equivalent O(7), two equivalent O(8), and two equivalent O(9) atoms. There are eight inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a body-centered cubic geometry to two equivalent O(10), two equivalent O(11), two equivalent O(8), and two equivalent O(9) atoms. In the second Zr site, Zr(2) is bonded in a body-centered cubic geometry to two equivalent O(10), two equivalent O(11), two equivalent O(12), and two equivalent O(13) atoms. In the third Zr site, Zr(3) is bonded in a body-centered cubic geometry to two equivalent O(12), two equivalent O(13), two equivalent O(14), and two equivalent O(15) atoms. In the fourth Zr site, Zr(4) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(14), two equivalent O(15), and two equivalent O(16) atoms. In the fifth Zr site, Zr(5) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(16), two equivalent O(17), and two equivalent O(2) atoms. In the sixth Zr site, Zr(6) is bonded in a body-centered cubic geometry to two equivalent O(17), two equivalent O(18), two equivalent O(2), and two equivalent O(3) atoms. In the seventh Zr site, Zr(7) is bonded in a body-centered cubic geometry to two equivalent O(19), two equivalent O(4), two equivalent O(5), and two equivalent O(6) atoms. In the eighth Zr site, Zr(8) is bonded in a body-centered cubic geometry to two equivalent O(18), two equivalent O(19), two equivalent O(3), and two equivalent O(4) atoms. There are nineteen inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Zr(4) and two equivalent Zr(5) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the second O site, O(2) is bonded to two equivalent Zr(5) and two equivalent Zr(6) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the third O site, O(3) is bonded to two equivalent Zr(6) and two equivalent Zr(8) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O site, O(4) is bonded to two equivalent Zr(7) and two equivalent Zr(8) atoms to form OZr4 tetrahedra that share corners with two equivalent O(6)Zr2Sc2 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with four equivalent O(5)Zr2Sc2 tetrahedra, corners with four equivalent O(3)Zr4 tetrahedra, corners with four equivalent O(4)Zr4 tetrahedra,  an edgeedge with one O(6)Zr2Sc2 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra, and edges with four equivalent O(19)Zr4 tetrahedra. In the fifth O site, O(5) is bonded to two equivalent Sc(1) and two equivalent Zr(7) atoms to form OZr2Sc2 tetrahedra that share corners with two equivalent O(7)Sc4 tetrahedra, corners with two equivalent O(19)Zr4 tetrahedra, corners with four equivalent O(5)Zr2Sc2 tetrahedra, corners with four equivalent O(4)Zr4 tetrahedra,  an edgeedge with one O(7)Sc4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra, and edges with four equivalent O(6)Zr2Sc2 tetrahedra. In the sixth O site, O(6) is bonded to two equivalent Sc(1) and two equivalent Zr(7) atoms to form OZr2Sc2 tetrahedra that share corners with two equivalent O(4)Zr4 tetrahedra, corners with four equivalent O(7)Sc4 tetrahedra, corners with four equivalent O(6)Zr2Sc2 tetrahedra, corners with four equivalent O(19)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and edges with four equivalent O(5)Zr2Sc2 tetrahedra. In the seventh O site, O(7) is bonded to two equivalent Sc(1) and two equivalent Sc(2) atoms to form OSc4 tetrahedra that share corners with two equivalent O(5)Zr2Sc2 tetrahedra, corners with two equivalent O(8)Zr2Sc2 tetrahedra, corners with four equivalent O(7)Sc4 tetrahedra, corners with four equivalent O(6)Zr2Sc2 tetrahedra, corners with four equivalent O(9)Zr2Sc2 tetrahedra,  an edgeedge with one O(5)Zr2Sc2 tetrahedra, and  an edgeedge with one O(8)Zr2Sc2 tetrahedra. In the eighth O site, O(8) is bonded to two equivalent Sc(2) and two equivalent Zr(1) atoms to form OZr2Sc2 tetrahedra that share corners with two equivalent O(7)Sc4 tetrahedra, corners with two equivalent O(11)Zr4 tetrahedra, corners with four equivalent O(8)Zr2Sc2 tetrahedra, corners with four equivalent O(10)Zr4 tetrahedra,  an edgeedge with one O(7)Sc4 tetrahedra,  an edgeedge with one O(11)Zr4 tetrahedra, and edges with four equivalent O(9)Zr2Sc2 tetrahedra. In the ninth O site, O(9) is bonded to two equivalent Sc(2) and two equivalent Zr(1) atoms to form OZr2Sc2 tetrahedra that share corners with two equivalent O(10)Zr4 tetrahedra, corners with four equivalent O(7)Sc4 tetrahedra, corners with four equivalent O(9)Zr2Sc2 tetrahedra, corners with four equivalent O(11)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra, and edges with four equivalent O(8)Zr2Sc2 tetrahedra. In the tenth O site, O(10) is bonded to two equivalent Zr(1) and two equivalent Zr(2) atoms to form OZr4 tetrahedra that share corners with two equivalent O(9)Zr2Sc2 tetrahedra, corners with two equivalent O(13)Zr4 tetrahedra, corners with four equivalent O(8)Zr2Sc2 tetrahedra, corners with four equivalent O(10)Zr4 tetrahedra, corners with four equivalent O(12)Zr4 tetrahedra,  an edgeedge with one O(9)Zr2Sc2 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra, and edges with four equivalent O(11)Zr4 tetrahedra. In the eleventh O site, O(11) is bonded to two equivalent Zr(1) and two equivalent Zr(2) atoms to form OZr4 tetrahedra that share corners with two equivalent O(8)Zr2Sc2 tetrahedra, corners with two equivalent O(12)Zr4 tetrahedra, corners with four equivalent O(9)Zr2Sc2 tetrahedra, corners with four equivalent O(11)Zr4 tetrahedra, corners with four equivalent O(13)Zr4 tetrahedra,  an edgeedge with one O(8)Zr2Sc2 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra, and edges with four equivalent O(10)Zr4 tetrahedra. In the twelfth O site, O(12) is bonded to two equivalent Zr(2) and two equivalent Zr(3) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirteenth O site, O(13) is bonded to two equivalent Zr(2) and two equivalent Zr(3) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourteenth O site, O(14) is bonded to two equivalent Zr(3) and two equivalent Zr(4) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifteenth O site, O(15) is bonded to two equivalent Zr(3) and two equivalent Zr(4) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixteenth O site, O(16) is bonded to two equivalent Zr(4) and two equivalent Zr(5) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventeenth O site, O(17) is bonded to two equivalent Zr(5) and two equivalent Zr(6) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighteenth O site, O(18) is bonded to two equivalent Zr(6) and two equivalent Zr(8) atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the nineteenth O site, O(19) is bonded to two equivalent Zr(7) and two equivalent Zr(8) atoms to form OZr4 tetrahedra that share corners with two equivalent O(5)Zr2Sc2 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with four equivalent O(6)Zr2Sc2 tetrahedra, corners with four equivalent O(18)Zr4 tetrahedra, corners with four equivalent O(19)Zr4 tetrahedra,  an edgeedge with one O(5)Zr2Sc2 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and edges with four equivalent O(4)Zr4 tetrahedra. is represented by the CIF file [CIF]
data_Zr8Sc2O19
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.546
_cell_length_b   36.126
_cell_length_c   34.417
_cell_angle_alpha   5.261
_cell_angle_beta   58.758
_cell_angle_gamma   60.389
_symmetry_Int_Tables_number   1
_cell_volume   331.265
_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
  Zr  Zr0  1  0.007  0.005  0.994  1.0
  Zr  Zr1  1  0.000  0.101  0.999  1.0
  Zr  Zr2  1  0.998  0.198  0.002  1.0
  Zr  Zr3  1  0.996  0.297  0.004  1.0
  Zr  Zr4  1  0.994  0.396  0.006  1.0
  Zr  Zr5  1  0.993  0.494  0.008  1.0
  Zr  Zr6  1  0.983  0.687  0.017  1.0
  Zr  Zr7  1  0.989  0.592  0.010  1.0
  Sc  Sc8  1  0.012  0.812  0.985  1.0
  Sc  Sc9  1  0.980  0.881  0.023  1.0
  O  O10  1  0.246  0.097  0.253  1.0
  O  O11  1  0.234  0.188  0.266  1.0
  O  O12  1  0.261  0.310  0.238  1.0
  O  O13  1  0.208  0.367  0.291  1.0
  O  O14  1  0.267  0.516  0.230  1.0
  O  O15  1  0.700  0.961  0.798  1.0
  O  O16  1  0.773  0.122  0.723  1.0
  O  O17  1  0.233  0.687  0.266  1.0
  O  O18  1  0.797  0.237  0.704  1.0
  O  O19  1  0.279  0.824  0.221  1.0
  O  O20  1  0.743  0.293  0.758  1.0
  O  O21  1  0.233  0.887  0.266  1.0
  O  O22  1  0.779  0.422  0.722  1.0
  O  O23  1  0.257  0.006  0.242  1.0
  O  O24  1  0.751  0.500  0.750  1.0
  O  O25  1  0.759  0.607  0.742  1.0
  O  O26  1  0.764  0.711  0.736  1.0
  O  O27  1  0.735  0.787  0.766  1.0
  O  O28  1  0.775  0.919  0.726  1.0
[/CIF]
.