| 6 |
Trace((S-T)^2) := \sum_{1 <= i,j <= 3} (sij-tij)^2 |
Trace((S-T)^2) := \sum_{1 <= i,j <= 3} (sij-tij)^2 |
| 7 |
using the Delone-reduced metric tensors S := (sij) and T := (tij) of their reciprocal lattices.) |
using the Delone-reduced metric tensors S := (sij) and T := (tij) of their reciprocal lattices.) |
| 8 |
|
|
| 9 |
BravaisLattice NumberOfSolusions DistanceFromInputUnitCell : unit-cell parameters. |
CentringType NumberOfSolusions DistanceFromInputUnitCell : unit-cell parameters. |
| 10 |
Cubic(F) 1 1.3360e-002 : 6.9817e+000 6.9817e+000 6.9817e+000 9.0000e+001 9.0000e+001 9.0000e+001 |
Cubic(F) 1 1.1558e-001 : 6.9817e+000 6.9817e+000 6.9817e+000 9.0000e+001 9.0000e+001 9.0000e+001 |
| 11 |
Cubic(I) 0 |
Cubic(I) 0 |
| 12 |
Cubic(P) 0 |
Cubic(P) 0 |
| 13 |
Hexagonal 0 |
Hexagonal 0 |
| 14 |
Rhombohedral 1 1.9064e-003 : 4.7554e+000 4.7554e+000 1.3071e+001 9.0000e+001 9.0000e+001 1.2000e+002 |
Rhombohedral 1 4.3662e-002 : 4.7554e+000 4.7554e+000 1.3071e+001 9.0000e+001 9.0000e+001 1.2000e+002 |
| 15 |
Tetragonal(I) 2 1.2991e-002 : 4.9579e+000 4.9579e+000 6.9231e+000 9.0000e+001 9.0000e+001 9.0000e+001 |
Tetragonal(I) 3 1.1018e-001 : 4.9024e+000 4.9024e+000 7.0823e+000 9.0000e+001 9.0000e+001 9.0000e+001 |
| 16 |
Tetragonal(P) 0 |
Tetragonal(P) 0 |
| 17 |
Orthorhombic(F) 1 1.2136e-002 : 6.9231e+000 6.9429e+000 7.0823e+000 9.0000e+001 9.0000e+001 9.0000e+001 |
Orthorhombic(F) 1 1.1016e-001 : 6.9231e+000 6.9429e+000 7.0823e+000 9.0000e+001 9.0000e+001 9.0000e+001 |
| 18 |
Orthorhombic(I) 2 1.1119e-002 : 4.7829e+000 5.1537e+000 6.9231e+000 9.0000e+001 9.0000e+001 9.0000e+001 |
Orthorhombic(I) 3 9.2287e-002 : 4.7428e+000 5.0793e+000 7.0823e+000 9.0000e+001 9.0000e+001 9.0000e+001 |
| 19 |
Orthorhombic(C) 0 |
Orthorhombic(C) 0 |
| 20 |
Orthorhombic(P) 0 |
Orthorhombic(P) 0 |
| 21 |
Monoclinic(B) 5 2.9066e-004 : 8.3053e+000 4.7428e+000 5.1093e+000 9.0000e+001 1.2149e+002 9.0000e+001 |
Monoclinic(B) 5 1.7049e-002 : 8.3053e+000 4.7428e+000 5.1093e+000 9.0000e+001 1.2149e+002 9.0000e+001 |
| 22 |
Monoclinic(P) 0 |
Monoclinic(P) 0 |
| 23 |
|
|
| 24 |
--> |
--> |
| 26 |
|
|
| 27 |
<!-- Candidates for Cubic(F) --> |
<!-- Candidates for Cubic(F) --> |
| 28 |
|
|
| 29 |
<UnitCellCandidate number="1401"> |
<UnitCellCandidate number="1402"> |
| 30 |
<CrystalSystem> Cubic(F) </CrystalSystem> |
<CrystalSystem> Cubic(F) </CrystalSystem> |
| 31 |
|
|
| 32 |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 33 |
<UnitCellParameters> 6.9817e+000 6.9817e+000 6.9817e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
<UnitCellParameters> 6.9817e+000 6.9817e+000 6.9817e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
| 34 |
<DistanceFromInputUnitCell> 1.3360e-002 </DistanceFromInputUnitCell> |
<DistanceFromInputUnitCell> 1.1558e-001 </DistanceFromInputUnitCell> |
| 35 |
</UnitCellCandidate> |
</UnitCellCandidate> |
| 36 |
|
|
| 37 |
|
|
| 50 |
|
|
| 51 |
<!-- Candidates for Rhombohedral --> |
<!-- Candidates for Rhombohedral --> |
| 52 |
|
|
| 53 |
<UnitCellCandidate number="1001"> |
<UnitCellCandidate number="1002"> |
| 54 |
<CrystalSystem> Rhombohedral </CrystalSystem> |
<CrystalSystem> Rhombohedral </CrystalSystem> |
| 55 |
|
|
| 56 |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 57 |
<UnitCellParameters axis="Rhombohedral"> 5.1498e+000 5.1498e+000 5.1498e+000 5.4994e+001 5.4994e+001 5.4994e+001 </UnitCellParameters> |
<UnitCellParameters axis="Rhombohedral"> 5.1498e+000 5.1498e+000 5.1498e+000 5.4994e+001 5.4994e+001 5.4994e+001 </UnitCellParameters> |
| 58 |
<UnitCellParameters axis="Hexagonal"> 4.7554e+000 4.7554e+000 1.3071e+001 9.0000e+001 9.0000e+001 1.2000e+002 </UnitCellParameters> |
<UnitCellParameters axis="Hexagonal"> 4.7554e+000 4.7554e+000 1.3071e+001 9.0000e+001 9.0000e+001 1.2000e+002 </UnitCellParameters> |
| 59 |
|
|
| 60 |
<DistanceFromInputUnitCell> 1.9064e-003 </DistanceFromInputUnitCell> |
<DistanceFromInputUnitCell> 4.3662e-002 </DistanceFromInputUnitCell> |
| 61 |
</UnitCellCandidate> |
</UnitCellCandidate> |
| 62 |
|
|
| 63 |
|
|
| 64 |
|
|
| 65 |
<!-- Candidates for Tetragonal(I) --> |
<!-- Candidates for Tetragonal(I) --> |
| 66 |
|
|
| 67 |
<UnitCellCandidate number="0901"> |
<UnitCellCandidate number="0904"> |
| 68 |
|
<CrystalSystem> Tetragonal(I) </CrystalSystem> |
| 69 |
|
|
| 70 |
|
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 71 |
|
<UnitCellParameters> 4.9024e+000 4.9024e+000 7.0823e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
| 72 |
|
<DistanceFromInputUnitCell> 1.1018e-001 </DistanceFromInputUnitCell> |
| 73 |
|
</UnitCellCandidate> |
| 74 |
|
|
| 75 |
|
<UnitCellCandidate number="0904"> |
| 76 |
<CrystalSystem> Tetragonal(I) </CrystalSystem> |
<CrystalSystem> Tetragonal(I) </CrystalSystem> |
| 77 |
|
|
| 78 |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 79 |
<UnitCellParameters> 4.9579e+000 4.9579e+000 6.9231e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
<UnitCellParameters> 4.9579e+000 4.9579e+000 6.9231e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
| 80 |
<DistanceFromInputUnitCell> 1.2991e-002 </DistanceFromInputUnitCell> |
<DistanceFromInputUnitCell> 1.1398e-001 </DistanceFromInputUnitCell> |
| 81 |
</UnitCellCandidate> |
</UnitCellCandidate> |
| 82 |
|
|
| 83 |
<UnitCellCandidate number="0902"> |
<UnitCellCandidate number="0904"> |
| 84 |
<CrystalSystem> Tetragonal(I) </CrystalSystem> |
<CrystalSystem> Tetragonal(I) </CrystalSystem> |
| 85 |
|
|
| 86 |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 87 |
<UnitCellParameters> 4.9507e+000 4.9507e+000 6.9429e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
<UnitCellParameters> 4.9507e+000 4.9507e+000 6.9429e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
| 88 |
<DistanceFromInputUnitCell> 1.3135e-002 </DistanceFromInputUnitCell> |
<DistanceFromInputUnitCell> 1.1461e-001 </DistanceFromInputUnitCell> |
| 89 |
</UnitCellCandidate> |
</UnitCellCandidate> |
| 90 |
|
|
| 91 |
|
|
| 96 |
|
|
| 97 |
<!-- Candidates for Orthorhombic(F) --> |
<!-- Candidates for Orthorhombic(F) --> |
| 98 |
|
|
| 99 |
<UnitCellCandidate number="0701"> |
<UnitCellCandidate number="0702"> |
| 100 |
<CrystalSystem> Orthorhombic(F) </CrystalSystem> |
<CrystalSystem> Orthorhombic(F) </CrystalSystem> |
| 101 |
|
|
| 102 |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 103 |
<UnitCellParameters> 6.9231e+000 6.9429e+000 7.0823e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
<UnitCellParameters> 6.9231e+000 6.9429e+000 7.0823e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
| 104 |
<DistanceFromInputUnitCell> 1.2136e-002 </DistanceFromInputUnitCell> |
<DistanceFromInputUnitCell> 1.1016e-001 </DistanceFromInputUnitCell> |
| 105 |
</UnitCellCandidate> |
</UnitCellCandidate> |
| 106 |
|
|
| 107 |
|
|
| 108 |
|
|
| 109 |
<!-- Candidates for Orthorhombic(I) --> |
<!-- Candidates for Orthorhombic(I) --> |
| 110 |
|
|
| 111 |
<UnitCellCandidate number="0601"> |
<UnitCellCandidate number="0604"> |
| 112 |
|
<CrystalSystem> Orthorhombic(I) </CrystalSystem> |
| 113 |
|
|
| 114 |
|
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 115 |
|
<UnitCellParameters> 4.7428e+000 5.0793e+000 7.0823e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
| 116 |
|
<DistanceFromInputUnitCell> 9.2287e-002 </DistanceFromInputUnitCell> |
| 117 |
|
</UnitCellCandidate> |
| 118 |
|
|
| 119 |
|
<UnitCellCandidate number="0604"> |
| 120 |
<CrystalSystem> Orthorhombic(I) </CrystalSystem> |
<CrystalSystem> Orthorhombic(I) </CrystalSystem> |
| 121 |
|
|
| 122 |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 123 |
<UnitCellParameters> 4.7829e+000 5.1537e+000 6.9231e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
<UnitCellParameters> 4.7829e+000 5.1537e+000 6.9231e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
| 124 |
<DistanceFromInputUnitCell> 1.1119e-002 </DistanceFromInputUnitCell> |
<DistanceFromInputUnitCell> 1.0545e-001 </DistanceFromInputUnitCell> |
| 125 |
</UnitCellCandidate> |
</UnitCellCandidate> |
| 126 |
|
|
| 127 |
<UnitCellCandidate number="0602"> |
<UnitCellCandidate number="0604"> |
| 128 |
<CrystalSystem> Orthorhombic(I) </CrystalSystem> |
<CrystalSystem> Orthorhombic(I) </CrystalSystem> |
| 129 |
|
|
| 130 |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 131 |
<UnitCellParameters> 4.7789e+000 5.1425e+000 6.9429e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
<UnitCellParameters> 4.7789e+000 5.1425e+000 6.9429e+000 9.0000e+001 9.0000e+001 9.0000e+001 </UnitCellParameters> |
| 132 |
<DistanceFromInputUnitCell> 1.1359e-002 </DistanceFromInputUnitCell> |
<DistanceFromInputUnitCell> 1.0658e-001 </DistanceFromInputUnitCell> |
| 133 |
</UnitCellCandidate> |
</UnitCellCandidate> |
| 134 |
|
|
| 135 |
|
|
| 144 |
|
|
| 145 |
<!-- Candidates for Monoclinic(B) --> |
<!-- Candidates for Monoclinic(B) --> |
| 146 |
|
|
| 147 |
<UnitCellCandidate number="0301"> |
<UnitCellCandidate number="0306"> |
| 148 |
<CrystalSystem> Monoclinic(B) </CrystalSystem> |
<CrystalSystem> Monoclinic(B) </CrystalSystem> |
| 149 |
|
|
| 150 |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 151 |
<UnitCellParameters> 8.3053e+000 4.7428e+000 5.1093e+000 9.0000e+001 1.2149e+002 9.0000e+001 </UnitCellParameters> |
<UnitCellParameters> 8.3053e+000 4.7428e+000 5.1093e+000 9.0000e+001 1.2149e+002 9.0000e+001 </UnitCellParameters> |
| 152 |
<DistanceFromInputUnitCell> 2.9066e-004 </DistanceFromInputUnitCell> |
<DistanceFromInputUnitCell> 1.7049e-002 </DistanceFromInputUnitCell> |
| 153 |
</UnitCellCandidate> |
</UnitCellCandidate> |
| 154 |
|
|
| 155 |
<UnitCellCandidate number="0303"> |
<UnitCellCandidate number="0306"> |
| 156 |
<CrystalSystem> Monoclinic(B) </CrystalSystem> |
<CrystalSystem> Monoclinic(B) </CrystalSystem> |
| 157 |
|
|
| 158 |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 159 |
<UnitCellParameters> 8.2339e+000 4.7829e+000 5.1819e+000 9.0000e+001 1.2278e+002 9.0000e+001 </UnitCellParameters> |
<UnitCellParameters> 8.2339e+000 4.7829e+000 5.1819e+000 9.0000e+001 1.2278e+002 9.0000e+001 </UnitCellParameters> |
| 160 |
<DistanceFromInputUnitCell> 1.6289e-003 </DistanceFromInputUnitCell> |
<DistanceFromInputUnitCell> 4.0360e-002 </DistanceFromInputUnitCell> |
| 161 |
</UnitCellCandidate> |
</UnitCellCandidate> |
| 162 |
|
|
| 163 |
<UnitCellCandidate number="0302"> |
<UnitCellCandidate number="0306"> |
| 164 |
<CrystalSystem> Monoclinic(B) </CrystalSystem> |
<CrystalSystem> Monoclinic(B) </CrystalSystem> |
| 165 |
|
|
| 166 |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 167 |
<UnitCellParameters> 8.2403e+000 4.7789e+000 5.1711e+000 9.0000e+001 1.2259e+002 9.0000e+001 </UnitCellParameters> |
<UnitCellParameters> 8.2403e+000 4.7789e+000 5.1711e+000 9.0000e+001 1.2259e+002 9.0000e+001 </UnitCellParameters> |
| 168 |
<DistanceFromInputUnitCell> 1.8733e-003 </DistanceFromInputUnitCell> |
<DistanceFromInputUnitCell> 4.3282e-002 </DistanceFromInputUnitCell> |
| 169 |
</UnitCellCandidate> |
</UnitCellCandidate> |
| 170 |
|
|
| 171 |
<UnitCellCandidate number="0305"> |
<UnitCellCandidate number="0306"> |
| 172 |
<CrystalSystem> Monoclinic(B) </CrystalSystem> |
<CrystalSystem> Monoclinic(B) </CrystalSystem> |
| 173 |
|
|
| 174 |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 175 |
<UnitCellParameters> 6.9623e+000 6.9231e+000 4.7839e+000 9.0000e+001 1.3225e+002 9.0000e+001 </UnitCellParameters> |
<UnitCellParameters> 6.9623e+000 6.9231e+000 4.7839e+000 9.0000e+001 1.3225e+002 9.0000e+001 </UnitCellParameters> |
| 176 |
<DistanceFromInputUnitCell> 1.0107e-002 </DistanceFromInputUnitCell> |
<DistanceFromInputUnitCell> 1.0053e-001 </DistanceFromInputUnitCell> |
| 177 |
</UnitCellCandidate> |
</UnitCellCandidate> |
| 178 |
|
|
| 179 |
<UnitCellCandidate number="0304"> |
<UnitCellCandidate number="0306"> |
| 180 |
<CrystalSystem> Monoclinic(B) </CrystalSystem> |
<CrystalSystem> Monoclinic(B) </CrystalSystem> |
| 181 |
|
|
| 182 |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
<!-- a, b, c(angstrom), alpha, beta, gamma(deg.)--> |
| 183 |
<UnitCellParameters> 8.4056e+000 5.1537e+000 4.7829e+000 9.0000e+001 1.2455e+002 9.0000e+001 </UnitCellParameters> |
<UnitCellParameters> 8.4056e+000 5.1537e+000 4.7829e+000 9.0000e+001 1.2455e+002 9.0000e+001 </UnitCellParameters> |
| 184 |
<DistanceFromInputUnitCell> 1.1117e-002 </DistanceFromInputUnitCell> |
<DistanceFromInputUnitCell> 1.0544e-001 </DistanceFromInputUnitCell> |
| 185 |
</UnitCellCandidate> |
</UnitCellCandidate> |
| 186 |
|
|
| 187 |
|
|