The material structure described by K3B3O10 crystallizes in the orthorhombic Cmc2_1 space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 10-coordinate geometry to two equivalent O(2), two equivalent O(3), two equivalent O(4), two equivalent O(5), and two equivalent O(6) atoms. In the second K site, K(2) is bonded to two equivalent O(1), two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms to form distorted KO8 hexagonal bipyramids that share corners with two equivalent B(1)O4 tetrahedra, edges with four equivalent K(2)O8 hexagonal bipyramids, and edges with two equivalent B(1)O4 tetrahedra. There are two inequivalent B sites. In the first B site, B(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form BO4 tetrahedra that share corners with two equivalent K(2)O8 hexagonal bipyramids,  a cornercorner with one B(1)O4 tetrahedra, and edges with two equivalent K(2)O8 hexagonal bipyramids. In the second B site, B(2) is bonded in a trigonal planar geometry to one O(5) and two equivalent O(1) atoms. There are six inequivalent O sites. In the first O site, O(3) is bonded in a distorted single-bond geometry to one K(1), two equivalent K(2), and one B(1) atom. In the second O site, O(4) is bonded in a distorted bent 120 degrees geometry to two equivalent K(1) and two equivalent B(1) atoms. In the third O site, O(5) is bonded in a distorted single-bond geometry to two equivalent K(1) and one B(2) atom. In the fourth O site, O(6) is bonded in a distorted T-shaped geometry to one K(1) and two equivalent K(2) atoms. In the fifth O site, O(1) is bonded in a distorted bent 120 degrees geometry to two equivalent K(2), one B(1), and one B(2) atom. In the sixth O site, O(2) is bonded in a distorted single-bond geometry to one K(1), two equivalent K(2), and one B(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3B3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.173
_cell_length_b   8.173
_cell_length_c   9.271
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   127.189
_symmetry_Int_Tables_number   1
_cell_volume   493.311
_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
  K  K0  1  0.010  0.010  0.713  1.0
  K  K1  1  0.990  0.990  0.213  1.0
  K  K2  1  0.280  0.703  0.708  1.0
  K  K3  1  0.720  0.297  0.208  1.0
  K  K4  1  0.297  0.720  0.208  1.0
  K  K5  1  0.703  0.280  0.708  1.0
  B  B6  1  0.649  0.826  0.956  1.0
  B  B7  1  0.351  0.174  0.456  1.0
  B  B8  1  0.174  0.351  0.456  1.0
  B  B9  1  0.826  0.649  0.956  1.0
  B  B10  1  0.440  0.440  0.969  1.0
  B  B11  1  0.560  0.560  0.469  1.0
  O  O12  1  0.451  0.617  0.962  1.0
  O  O13  1  0.549  0.383  0.462  1.0
  O  O14  1  0.383  0.549  0.462  1.0
  O  O15  1  0.617  0.451  0.962  1.0
  O  O16  1  0.655  0.946  0.835  1.0
  O  O17  1  0.345  0.054  0.335  1.0
  O  O18  1  0.054  0.345  0.335  1.0
  O  O19  1  0.946  0.655  0.835  1.0
  O  O20  1  0.658  0.962  0.065  1.0
  O  O21  1  0.342  0.038  0.565  1.0
  O  O22  1  0.038  0.342  0.565  1.0
  O  O23  1  0.962  0.658  0.065  1.0
  O  O24  1  0.823  0.823  0.961  1.0
  O  O25  1  0.177  0.177  0.461  1.0
  O  O26  1  0.252  0.252  0.984  1.0
  O  O27  1  0.748  0.748  0.484  1.0
  O  O28  1  0.779  0.072  0.446  1.0
  O  O29  1  0.221  0.928  0.946  1.0
  O  O30  1  0.928  0.221  0.946  1.0
  O  O31  1  0.072  0.779  0.446  1.0
[/CIF]
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The material structure described by K3B3O10 crystallizes in the orthorhombic Cmc2_1 space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 10-coordinate geometry to two equivalent O(2), two equivalent O(3), two equivalent O(4), two equivalent O(5), and two equivalent O(6) atoms. In the second K site, K(2) is bonded to two equivalent O(1), two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms to form distorted KO8 hexagonal bipyramids that share corners with two equivalent B(1)O4 tetrahedra, edges with four equivalent K(2)O8 hexagonal bipyramids, and edges with two equivalent B(1)O4 tetrahedra. There are two inequivalent B sites. In the first B site, B(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form BO4 tetrahedra that share corners with two equivalent K(2)O8 hexagonal bipyramids,  a cornercorner with one B(1)O4 tetrahedra, and edges with two equivalent K(2)O8 hexagonal bipyramids. In the second B site, B(2) is bonded in a trigonal planar geometry to one O(5) and two equivalent O(1) atoms. There are six inequivalent O sites. In the first O site, O(3) is bonded in a distorted single-bond geometry to one K(1), two equivalent K(2), and one B(1) atom. In the second O site, O(4) is bonded in a distorted bent 120 degrees geometry to two equivalent K(1) and two equivalent B(1) atoms. In the third O site, O(5) is bonded in a distorted single-bond geometry to two equivalent K(1) and one B(2) atom. In the fourth O site, O(6) is bonded in a distorted T-shaped geometry to one K(1) and two equivalent K(2) atoms. In the fifth O site, O(1) is bonded in a distorted bent 120 degrees geometry to two equivalent K(2), one B(1), and one B(2) atom. In the sixth O site, O(2) is bonded in a distorted single-bond geometry to one K(1), two equivalent K(2), and one B(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3B3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.173
_cell_length_b   8.173
_cell_length_c   9.271
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   127.189
_symmetry_Int_Tables_number   1
_cell_volume   493.311
_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
  K  K0  1  0.010  0.010  0.713  1.0
  K  K1  1  0.990  0.990  0.213  1.0
  K  K2  1  0.280  0.703  0.708  1.0
  K  K3  1  0.720  0.297  0.208  1.0
  K  K4  1  0.297  0.720  0.208  1.0
  K  K5  1  0.703  0.280  0.708  1.0
  B  B6  1  0.649  0.826  0.956  1.0
  B  B7  1  0.351  0.174  0.456  1.0
  B  B8  1  0.174  0.351  0.456  1.0
  B  B9  1  0.826  0.649  0.956  1.0
  B  B10  1  0.440  0.440  0.969  1.0
  B  B11  1  0.560  0.560  0.469  1.0
  O  O12  1  0.451  0.617  0.962  1.0
  O  O13  1  0.549  0.383  0.462  1.0
  O  O14  1  0.383  0.549  0.462  1.0
  O  O15  1  0.617  0.451  0.962  1.0
  O  O16  1  0.655  0.946  0.835  1.0
  O  O17  1  0.345  0.054  0.335  1.0
  O  O18  1  0.054  0.345  0.335  1.0
  O  O19  1  0.946  0.655  0.835  1.0
  O  O20  1  0.658  0.962  0.065  1.0
  O  O21  1  0.342  0.038  0.565  1.0
  O  O22  1  0.038  0.342  0.565  1.0
  O  O23  1  0.962  0.658  0.065  1.0
  O  O24  1  0.823  0.823  0.961  1.0
  O  O25  1  0.177  0.177  0.461  1.0
  O  O26  1  0.252  0.252  0.984  1.0
  O  O27  1  0.748  0.748  0.484  1.0
  O  O28  1  0.779  0.072  0.446  1.0
  O  O29  1  0.221  0.928  0.946  1.0
  O  O30  1  0.928  0.221  0.946  1.0
  O  O31  1  0.072  0.779  0.446  1.0
[/CIF]
.