The compound described by Be3Ti is Frank-Kasper $\mu$ Phase-like structured and crystallizes in the trigonal R-3m space group. There are three inequivalent Be sites. In the first Be site, Be(1) is bonded to one Be(3), two equivalent Be(2), four equivalent Be(1), two equivalent Ti(2), and three equivalent Ti(1) atoms to form distorted BeTi5Be7 cuboctahedra that share corners with two equivalent Be(3)Ti6Be6 cuboctahedra, corners with fifteen equivalent Be(1)Ti5Be7 cuboctahedra, edges with eight equivalent Be(1)Ti5Be7 cuboctahedra, faces with three equivalent Be(3)Ti6Be6 cuboctahedra, and faces with eleven equivalent Be(1)Ti5Be7 cuboctahedra. In the second Be site, Be(2) is bonded in a 9-coordinate geometry to six equivalent Be(1) and three equivalent Ti(2) atoms. In the third Be site, Be(3) is bonded to six equivalent Be(1) and six equivalent Ti(1) atoms to form BeTi6Be6 cuboctahedra that share corners with twelve equivalent Be(1)Ti5Be7 cuboctahedra, edges with six equivalent Be(3)Ti6Be6 cuboctahedra, and faces with eighteen equivalent Be(1)Ti5Be7 cuboctahedra. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 16-coordinate geometry to three equivalent Be(3), nine equivalent Be(1), one Ti(2), and three equivalent Ti(1) atoms. In the second Ti site, Ti(2) is bonded in a 20-coordinate geometry to six equivalent Be(2), twelve equivalent Be(1), and two equivalent Ti(1) atoms. is represented by the CIF file [CIF]
data_TiBe3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.487
_cell_length_b   4.487
_cell_length_c   7.519
_cell_angle_alpha   72.642
_cell_angle_beta   72.642
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   123.061
_cell_formula_units_Z   3
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
  Ti  Ti0  1  0.142  0.142  0.573  1.0
  Ti  Ti1  1  0.858  0.858  0.427  1.0
  Ti  Ti2  1  0.000  0.000  0.000  1.0
  Be  Be3  1  0.079  0.582  0.757  1.0
  Be  Be4  1  0.582  0.582  0.757  1.0
  Be  Be5  1  0.582  0.079  0.757  1.0
  Be  Be6  1  0.921  0.418  0.243  1.0
  Be  Be7  1  0.418  0.418  0.243  1.0
  Be  Be8  1  0.418  0.921  0.243  1.0
  Be  Be9  1  0.334  0.334  0.999  1.0
  Be  Be10  1  0.666  0.666  0.001  1.0
  Be  Be11  1  0.500  0.500  0.500  1.0
[/CIF]
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The compound described by Be3Ti is Frank-Kasper $\mu$ Phase-like structured and crystallizes in the trigonal R-3m space group. There are three inequivalent Be sites. In the first Be site, Be(1) is bonded to one Be(3), two equivalent Be(2), four equivalent Be(1), two equivalent Ti(2), and three equivalent Ti(1) atoms to form distorted BeTi5Be7 cuboctahedra that share corners with two equivalent Be(3)Ti6Be6 cuboctahedra, corners with fifteen equivalent Be(1)Ti5Be7 cuboctahedra, edges with eight equivalent Be(1)Ti5Be7 cuboctahedra, faces with three equivalent Be(3)Ti6Be6 cuboctahedra, and faces with eleven equivalent Be(1)Ti5Be7 cuboctahedra. In the second Be site, Be(2) is bonded in a 9-coordinate geometry to six equivalent Be(1) and three equivalent Ti(2) atoms. In the third Be site, Be(3) is bonded to six equivalent Be(1) and six equivalent Ti(1) atoms to form BeTi6Be6 cuboctahedra that share corners with twelve equivalent Be(1)Ti5Be7 cuboctahedra, edges with six equivalent Be(3)Ti6Be6 cuboctahedra, and faces with eighteen equivalent Be(1)Ti5Be7 cuboctahedra. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 16-coordinate geometry to three equivalent Be(3), nine equivalent Be(1), one Ti(2), and three equivalent Ti(1) atoms. In the second Ti site, Ti(2) is bonded in a 20-coordinate geometry to six equivalent Be(2), twelve equivalent Be(1), and two equivalent Ti(1) atoms. is represented by the CIF file [CIF]
data_TiBe3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.487
_cell_length_b   4.487
_cell_length_c   7.519
_cell_angle_alpha   72.642
_cell_angle_beta   72.642
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   123.061
_cell_formula_units_Z   3
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
  Ti  Ti0  1  0.142  0.142  0.573  1.0
  Ti  Ti1  1  0.858  0.858  0.427  1.0
  Ti  Ti2  1  0.000  0.000  0.000  1.0
  Be  Be3  1  0.079  0.582  0.757  1.0
  Be  Be4  1  0.582  0.582  0.757  1.0
  Be  Be5  1  0.582  0.079  0.757  1.0
  Be  Be6  1  0.921  0.418  0.243  1.0
  Be  Be7  1  0.418  0.418  0.243  1.0
  Be  Be8  1  0.418  0.921  0.243  1.0
  Be  Be9  1  0.334  0.334  0.999  1.0
  Be  Be10  1  0.666  0.666  0.001  1.0
  Be  Be11  1  0.500  0.500  0.500  1.0
[/CIF]
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