The structure described by MgTb4(PO4)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 5-coordinate geometry to one O(1), one O(11), one O(14), one O(3), and one O(5) atom. There are four inequivalent Tb sites. In the first Tb site, Tb(1) is bonded in a 5-coordinate geometry to one O(10), one O(13), one O(4), one O(8), and one O(9) atom. In the second Tb site, Tb(2) is bonded in a 7-coordinate geometry to one O(12), one O(13), one O(14), one O(2), one O(3), one O(6), and one O(7) atom. In the third Tb site, Tb(3) is bonded in a 7-coordinate geometry to one O(11), one O(16), one O(2), one O(3), one O(6), one O(7), and one O(9) atom. In the fourth Tb site, Tb(4) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(12), one O(15), one O(16), one O(4), and one O(5) atom. There are four inequivalent P sites. In the first P site, P(1) is bonded in a tetrahedral geometry to one O(1), one O(13), one O(5), and one O(9) atom. In the second P site, P(2) is bonded in a tetrahedral geometry to one O(10), one O(14), one O(2), and one O(6) atom. In the third P site, P(3) is bonded in a tetrahedral geometry to one O(11), one O(15), one O(3), and one O(7) atom. In the fourth P site, P(4) is bonded in a tetrahedral geometry to one O(12), one O(16), one O(4), and one O(8) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Mg(1), one Tb(4), and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Tb(2), one Tb(3), and one P(2) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(1), one Tb(2), one Tb(3), and one P(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Tb(1), one Tb(4), and one P(4) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Mg(1), one Tb(4), and one P(1) atom. In the sixth O site, O(6) is bonded in a 2-coordinate geometry to one Tb(2), one Tb(3), and one P(2) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Tb(2), one Tb(3), and one P(3) atom. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to one Tb(1) and one P(4) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Tb(1), one Tb(3), and one P(1) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Tb(1), one Tb(4), and one P(2) atom. In the eleventh O site, O(11) is bonded in a distorted T-shaped geometry to one Mg(1), one Tb(3), and one P(3) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Tb(2), one Tb(4), and one P(4) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Tb(1), one Tb(2), and one P(1) atom. In the fourteenth O site, O(14) is bonded in a 3-coordinate geometry to one Mg(1), one Tb(2), and one P(2) atom. In the fifteenth O site, O(15) is bonded in a bent 150 degrees geometry to one Tb(4) and one P(3) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Tb(3), one Tb(4), and one P(4) atom. is represented by the CIF file [CIF]
data_Tb4Mg(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.595
_cell_length_b   7.765
_cell_length_c   6.653
_cell_angle_alpha   93.268
_cell_angle_beta   85.335
_cell_angle_gamma   98.293
_symmetry_Int_Tables_number   1
_cell_volume   335.700
_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
  Tb  Tb0  1  0.495  0.320  0.689  1.0
  Tb  Tb1  1  0.846  0.667  0.859  1.0
  Tb  Tb2  1  0.609  0.888  0.373  1.0
  Tb  Tb3  1  0.089  0.308  0.131  1.0
  Mg  Mg4  1  0.203  0.987  0.626  1.0
  P  P5  1  0.928  0.224  0.634  1.0
  P  P6  1  0.381  0.699  0.852  1.0
  P  P7  1  0.055  0.745  0.335  1.0
  P  P8  1  0.607  0.297  0.169  1.0
  O  O9  1  0.073  0.196  0.444  1.0
  O  O10  1  0.539  0.752  0.016  1.0
  O  O11  1  0.942  0.790  0.546  1.0
  O  O12  1  0.425  0.239  0.033  1.0
  O  O13  1  0.049  0.173  0.811  1.0
  O  O14  1  0.519  0.709  0.648  1.0
  O  O15  1  0.908  0.794  0.182  1.0
  O  O16  1  0.524  0.386  0.363  1.0
  O  O17  1  0.723  0.098  0.627  1.0
  O  O18  1  0.271  0.508  0.875  1.0
  O  O19  1  0.263  0.867  0.337  1.0
  O  O20  1  0.779  0.423  0.054  1.0
  O  O21  1  0.864  0.408  0.660  1.0
  O  O22  1  0.206  0.813  0.851  1.0
  O  O23  1  0.094  0.557  0.304  1.0
  O  O24  1  0.723  0.141  0.203  1.0
[/CIF]
.
The structure described by MgTb4(PO4)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 5-coordinate geometry to one O(1), one O(11), one O(14), one O(3), and one O(5) atom. There are four inequivalent Tb sites. In the first Tb site, Tb(1) is bonded in a 5-coordinate geometry to one O(10), one O(13), one O(4), one O(8), and one O(9) atom. In the second Tb site, Tb(2) is bonded in a 7-coordinate geometry to one O(12), one O(13), one O(14), one O(2), one O(3), one O(6), and one O(7) atom. In the third Tb site, Tb(3) is bonded in a 7-coordinate geometry to one O(11), one O(16), one O(2), one O(3), one O(6), one O(7), and one O(9) atom. In the fourth Tb site, Tb(4) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(12), one O(15), one O(16), one O(4), and one O(5) atom. There are four inequivalent P sites. In the first P site, P(1) is bonded in a tetrahedral geometry to one O(1), one O(13), one O(5), and one O(9) atom. In the second P site, P(2) is bonded in a tetrahedral geometry to one O(10), one O(14), one O(2), and one O(6) atom. In the third P site, P(3) is bonded in a tetrahedral geometry to one O(11), one O(15), one O(3), and one O(7) atom. In the fourth P site, P(4) is bonded in a tetrahedral geometry to one O(12), one O(16), one O(4), and one O(8) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Mg(1), one Tb(4), and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Tb(2), one Tb(3), and one P(2) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(1), one Tb(2), one Tb(3), and one P(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Tb(1), one Tb(4), and one P(4) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Mg(1), one Tb(4), and one P(1) atom. In the sixth O site, O(6) is bonded in a 2-coordinate geometry to one Tb(2), one Tb(3), and one P(2) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Tb(2), one Tb(3), and one P(3) atom. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to one Tb(1) and one P(4) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Tb(1), one Tb(3), and one P(1) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Tb(1), one Tb(4), and one P(2) atom. In the eleventh O site, O(11) is bonded in a distorted T-shaped geometry to one Mg(1), one Tb(3), and one P(3) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Tb(2), one Tb(4), and one P(4) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Tb(1), one Tb(2), and one P(1) atom. In the fourteenth O site, O(14) is bonded in a 3-coordinate geometry to one Mg(1), one Tb(2), and one P(2) atom. In the fifteenth O site, O(15) is bonded in a bent 150 degrees geometry to one Tb(4) and one P(3) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Tb(3), one Tb(4), and one P(4) atom. is represented by the CIF file [CIF]
data_Tb4Mg(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.595
_cell_length_b   7.765
_cell_length_c   6.653
_cell_angle_alpha   93.268
_cell_angle_beta   85.335
_cell_angle_gamma   98.293
_symmetry_Int_Tables_number   1
_cell_volume   335.700
_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
  Tb  Tb0  1  0.495  0.320  0.689  1.0
  Tb  Tb1  1  0.846  0.667  0.859  1.0
  Tb  Tb2  1  0.609  0.888  0.373  1.0
  Tb  Tb3  1  0.089  0.308  0.131  1.0
  Mg  Mg4  1  0.203  0.987  0.626  1.0
  P  P5  1  0.928  0.224  0.634  1.0
  P  P6  1  0.381  0.699  0.852  1.0
  P  P7  1  0.055  0.745  0.335  1.0
  P  P8  1  0.607  0.297  0.169  1.0
  O  O9  1  0.073  0.196  0.444  1.0
  O  O10  1  0.539  0.752  0.016  1.0
  O  O11  1  0.942  0.790  0.546  1.0
  O  O12  1  0.425  0.239  0.033  1.0
  O  O13  1  0.049  0.173  0.811  1.0
  O  O14  1  0.519  0.709  0.648  1.0
  O  O15  1  0.908  0.794  0.182  1.0
  O  O16  1  0.524  0.386  0.363  1.0
  O  O17  1  0.723  0.098  0.627  1.0
  O  O18  1  0.271  0.508  0.875  1.0
  O  O19  1  0.263  0.867  0.337  1.0
  O  O20  1  0.779  0.423  0.054  1.0
  O  O21  1  0.864  0.408  0.660  1.0
  O  O22  1  0.206  0.813  0.851  1.0
  O  O23  1  0.094  0.557  0.304  1.0
  O  O24  1  0.723  0.141  0.203  1.0
[/CIF]
.