Sm$_{11}$Cd$_{45}$ Structure: A45B11_cF448_216_ac4efg5h_bd2eh-001
| Prototype | Cd$_{45}$Sm$_{11}$ |
| AFLOW prototype label | A45B11_cF448_216_ac4efg5h_bd2eh-001 |
| ICSD | 2246 |
| Pearson symbol | cF448 |
| Space group number | 216 |
| Space group symbol | $F\overline{4}3m$ |
| AFLOW prototype command |
aflow --proto=A45B11_cF448_216_ac4efg5h_bd2eh-001
--params=$a, \allowbreak x_{5}, \allowbreak x_{6}, \allowbreak x_{7}, \allowbreak x_{8}, \allowbreak x_{9}, \allowbreak x_{10}, \allowbreak x_{11}, \allowbreak x_{12}, \allowbreak x_{13}, \allowbreak z_{13}, \allowbreak x_{14}, \allowbreak z_{14}, \allowbreak x_{15}, \allowbreak z_{15}, \allowbreak x_{16}, \allowbreak z_{16}, \allowbreak x_{17}, \allowbreak z_{17}, \allowbreak x_{18}, \allowbreak z_{18}$ |
Other compounds with this structure
Dy$_{11}$Cd$_{45}$, Er$_{11}$Cd$_{45}$, Gd$_{11}$Cd$_{45}$, Ho$_{11}$Cd$_{45}$, Lu$_{11}$Cd$_{45}$, Nd$_{11}$Cd$_{45}$, Tb$_{11}$Cd$_{45}$, Tm$_{11}$Cd$_{45}$, Pr$_{11}$Cd$_{45}$, Y$_{11}$Cd$_{45}$, Ce$_{11}$Hg$_{45}$, Nd$_{11}$Hg$_{45}$, Pr$_{11}$Hg$_{45}$, Sm$_{11}$Hg$_{45}$
\[ \begin{array}{ccc}
\mathbf{a_{1}}&=&\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}\\\mathbf{a_{2}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{z}}\\\mathbf{a_{3}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}
\end{array}\]
Basis vectors
| Lattice coordinates | Cartesian coordinates | Wyckoff position | Atom type | |||
|---|---|---|---|---|---|---|
| $\mathbf{B_{1}}$ | = | $0$ | = | $0$ | (4a) | Cd I |
| $\mathbf{B_{2}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (4b) | Sm I |
| $\mathbf{B_{3}}$ | = | $\frac{1}{4} \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (4c) | Cd II |
| $\mathbf{B_{4}}$ | = | $\frac{3}{4} \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ | = | $\frac{3}{4}a \,\mathbf{\hat{x}}+\frac{3}{4}a \,\mathbf{\hat{y}}+\frac{3}{4}a \,\mathbf{\hat{z}}$ | (4d) | Sm II |
| $\mathbf{B_{5}}$ | = | $x_{5} \, \mathbf{a}_{1}+x_{5} \, \mathbf{a}_{2}+x_{5} \, \mathbf{a}_{3}$ | = | $a x_{5} \,\mathbf{\hat{x}}+a x_{5} \,\mathbf{\hat{y}}+a x_{5} \,\mathbf{\hat{z}}$ | (16e) | Cd III |
| $\mathbf{B_{6}}$ | = | $x_{5} \, \mathbf{a}_{1}+x_{5} \, \mathbf{a}_{2}- 3 x_{5} \, \mathbf{a}_{3}$ | = | $- a x_{5} \,\mathbf{\hat{x}}- a x_{5} \,\mathbf{\hat{y}}+a x_{5} \,\mathbf{\hat{z}}$ | (16e) | Cd III |
| $\mathbf{B_{7}}$ | = | $x_{5} \, \mathbf{a}_{1}- 3 x_{5} \, \mathbf{a}_{2}+x_{5} \, \mathbf{a}_{3}$ | = | $- a x_{5} \,\mathbf{\hat{x}}+a x_{5} \,\mathbf{\hat{y}}- a x_{5} \,\mathbf{\hat{z}}$ | (16e) | Cd III |
| $\mathbf{B_{8}}$ | = | $- 3 x_{5} \, \mathbf{a}_{1}+x_{5} \, \mathbf{a}_{2}+x_{5} \, \mathbf{a}_{3}$ | = | $a x_{5} \,\mathbf{\hat{x}}- a x_{5} \,\mathbf{\hat{y}}- a x_{5} \,\mathbf{\hat{z}}$ | (16e) | Cd III |
| $\mathbf{B_{9}}$ | = | $x_{6} \, \mathbf{a}_{1}+x_{6} \, \mathbf{a}_{2}+x_{6} \, \mathbf{a}_{3}$ | = | $a x_{6} \,\mathbf{\hat{x}}+a x_{6} \,\mathbf{\hat{y}}+a x_{6} \,\mathbf{\hat{z}}$ | (16e) | Cd IV |
| $\mathbf{B_{10}}$ | = | $x_{6} \, \mathbf{a}_{1}+x_{6} \, \mathbf{a}_{2}- 3 x_{6} \, \mathbf{a}_{3}$ | = | $- a x_{6} \,\mathbf{\hat{x}}- a x_{6} \,\mathbf{\hat{y}}+a x_{6} \,\mathbf{\hat{z}}$ | (16e) | Cd IV |
| $\mathbf{B_{11}}$ | = | $x_{6} \, \mathbf{a}_{1}- 3 x_{6} \, \mathbf{a}_{2}+x_{6} \, \mathbf{a}_{3}$ | = | $- a x_{6} \,\mathbf{\hat{x}}+a x_{6} \,\mathbf{\hat{y}}- a x_{6} \,\mathbf{\hat{z}}$ | (16e) | Cd IV |
| $\mathbf{B_{12}}$ | = | $- 3 x_{6} \, \mathbf{a}_{1}+x_{6} \, \mathbf{a}_{2}+x_{6} \, \mathbf{a}_{3}$ | = | $a x_{6} \,\mathbf{\hat{x}}- a x_{6} \,\mathbf{\hat{y}}- a x_{6} \,\mathbf{\hat{z}}$ | (16e) | Cd IV |
| $\mathbf{B_{13}}$ | = | $x_{7} \, \mathbf{a}_{1}+x_{7} \, \mathbf{a}_{2}+x_{7} \, \mathbf{a}_{3}$ | = | $a x_{7} \,\mathbf{\hat{x}}+a x_{7} \,\mathbf{\hat{y}}+a x_{7} \,\mathbf{\hat{z}}$ | (16e) | Cd V |
| $\mathbf{B_{14}}$ | = | $x_{7} \, \mathbf{a}_{1}+x_{7} \, \mathbf{a}_{2}- 3 x_{7} \, \mathbf{a}_{3}$ | = | $- a x_{7} \,\mathbf{\hat{x}}- a x_{7} \,\mathbf{\hat{y}}+a x_{7} \,\mathbf{\hat{z}}$ | (16e) | Cd V |
| $\mathbf{B_{15}}$ | = | $x_{7} \, \mathbf{a}_{1}- 3 x_{7} \, \mathbf{a}_{2}+x_{7} \, \mathbf{a}_{3}$ | = | $- a x_{7} \,\mathbf{\hat{x}}+a x_{7} \,\mathbf{\hat{y}}- a x_{7} \,\mathbf{\hat{z}}$ | (16e) | Cd V |
| $\mathbf{B_{16}}$ | = | $- 3 x_{7} \, \mathbf{a}_{1}+x_{7} \, \mathbf{a}_{2}+x_{7} \, \mathbf{a}_{3}$ | = | $a x_{7} \,\mathbf{\hat{x}}- a x_{7} \,\mathbf{\hat{y}}- a x_{7} \,\mathbf{\hat{z}}$ | (16e) | Cd V |
| $\mathbf{B_{17}}$ | = | $x_{8} \, \mathbf{a}_{1}+x_{8} \, \mathbf{a}_{2}+x_{8} \, \mathbf{a}_{3}$ | = | $a x_{8} \,\mathbf{\hat{x}}+a x_{8} \,\mathbf{\hat{y}}+a x_{8} \,\mathbf{\hat{z}}$ | (16e) | Cd VI |
| $\mathbf{B_{18}}$ | = | $x_{8} \, \mathbf{a}_{1}+x_{8} \, \mathbf{a}_{2}- 3 x_{8} \, \mathbf{a}_{3}$ | = | $- a x_{8} \,\mathbf{\hat{x}}- a x_{8} \,\mathbf{\hat{y}}+a x_{8} \,\mathbf{\hat{z}}$ | (16e) | Cd VI |
| $\mathbf{B_{19}}$ | = | $x_{8} \, \mathbf{a}_{1}- 3 x_{8} \, \mathbf{a}_{2}+x_{8} \, \mathbf{a}_{3}$ | = | $- a x_{8} \,\mathbf{\hat{x}}+a x_{8} \,\mathbf{\hat{y}}- a x_{8} \,\mathbf{\hat{z}}$ | (16e) | Cd VI |
| $\mathbf{B_{20}}$ | = | $- 3 x_{8} \, \mathbf{a}_{1}+x_{8} \, \mathbf{a}_{2}+x_{8} \, \mathbf{a}_{3}$ | = | $a x_{8} \,\mathbf{\hat{x}}- a x_{8} \,\mathbf{\hat{y}}- a x_{8} \,\mathbf{\hat{z}}$ | (16e) | Cd VI |
| $\mathbf{B_{21}}$ | = | $x_{9} \, \mathbf{a}_{1}+x_{9} \, \mathbf{a}_{2}+x_{9} \, \mathbf{a}_{3}$ | = | $a x_{9} \,\mathbf{\hat{x}}+a x_{9} \,\mathbf{\hat{y}}+a x_{9} \,\mathbf{\hat{z}}$ | (16e) | Sm III |
| $\mathbf{B_{22}}$ | = | $x_{9} \, \mathbf{a}_{1}+x_{9} \, \mathbf{a}_{2}- 3 x_{9} \, \mathbf{a}_{3}$ | = | $- a x_{9} \,\mathbf{\hat{x}}- a x_{9} \,\mathbf{\hat{y}}+a x_{9} \,\mathbf{\hat{z}}$ | (16e) | Sm III |
| $\mathbf{B_{23}}$ | = | $x_{9} \, \mathbf{a}_{1}- 3 x_{9} \, \mathbf{a}_{2}+x_{9} \, \mathbf{a}_{3}$ | = | $- a x_{9} \,\mathbf{\hat{x}}+a x_{9} \,\mathbf{\hat{y}}- a x_{9} \,\mathbf{\hat{z}}$ | (16e) | Sm III |
| $\mathbf{B_{24}}$ | = | $- 3 x_{9} \, \mathbf{a}_{1}+x_{9} \, \mathbf{a}_{2}+x_{9} \, \mathbf{a}_{3}$ | = | $a x_{9} \,\mathbf{\hat{x}}- a x_{9} \,\mathbf{\hat{y}}- a x_{9} \,\mathbf{\hat{z}}$ | (16e) | Sm III |
| $\mathbf{B_{25}}$ | = | $x_{10} \, \mathbf{a}_{1}+x_{10} \, \mathbf{a}_{2}+x_{10} \, \mathbf{a}_{3}$ | = | $a x_{10} \,\mathbf{\hat{x}}+a x_{10} \,\mathbf{\hat{y}}+a x_{10} \,\mathbf{\hat{z}}$ | (16e) | Sm IV |
| $\mathbf{B_{26}}$ | = | $x_{10} \, \mathbf{a}_{1}+x_{10} \, \mathbf{a}_{2}- 3 x_{10} \, \mathbf{a}_{3}$ | = | $- a x_{10} \,\mathbf{\hat{x}}- a x_{10} \,\mathbf{\hat{y}}+a x_{10} \,\mathbf{\hat{z}}$ | (16e) | Sm IV |
| $\mathbf{B_{27}}$ | = | $x_{10} \, \mathbf{a}_{1}- 3 x_{10} \, \mathbf{a}_{2}+x_{10} \, \mathbf{a}_{3}$ | = | $- a x_{10} \,\mathbf{\hat{x}}+a x_{10} \,\mathbf{\hat{y}}- a x_{10} \,\mathbf{\hat{z}}$ | (16e) | Sm IV |
| $\mathbf{B_{28}}$ | = | $- 3 x_{10} \, \mathbf{a}_{1}+x_{10} \, \mathbf{a}_{2}+x_{10} \, \mathbf{a}_{3}$ | = | $a x_{10} \,\mathbf{\hat{x}}- a x_{10} \,\mathbf{\hat{y}}- a x_{10} \,\mathbf{\hat{z}}$ | (16e) | Sm IV |
| $\mathbf{B_{29}}$ | = | $- x_{11} \, \mathbf{a}_{1}+x_{11} \, \mathbf{a}_{2}+x_{11} \, \mathbf{a}_{3}$ | = | $a x_{11} \,\mathbf{\hat{x}}$ | (24f) | Cd VII |
| $\mathbf{B_{30}}$ | = | $x_{11} \, \mathbf{a}_{1}- x_{11} \, \mathbf{a}_{2}- x_{11} \, \mathbf{a}_{3}$ | = | $- a x_{11} \,\mathbf{\hat{x}}$ | (24f) | Cd VII |
| $\mathbf{B_{31}}$ | = | $x_{11} \, \mathbf{a}_{1}- x_{11} \, \mathbf{a}_{2}+x_{11} \, \mathbf{a}_{3}$ | = | $a x_{11} \,\mathbf{\hat{y}}$ | (24f) | Cd VII |
| $\mathbf{B_{32}}$ | = | $- x_{11} \, \mathbf{a}_{1}+x_{11} \, \mathbf{a}_{2}- x_{11} \, \mathbf{a}_{3}$ | = | $- a x_{11} \,\mathbf{\hat{y}}$ | (24f) | Cd VII |
| $\mathbf{B_{33}}$ | = | $x_{11} \, \mathbf{a}_{1}+x_{11} \, \mathbf{a}_{2}- x_{11} \, \mathbf{a}_{3}$ | = | $a x_{11} \,\mathbf{\hat{z}}$ | (24f) | Cd VII |
| $\mathbf{B_{34}}$ | = | $- x_{11} \, \mathbf{a}_{1}- x_{11} \, \mathbf{a}_{2}+x_{11} \, \mathbf{a}_{3}$ | = | $- a x_{11} \,\mathbf{\hat{z}}$ | (24f) | Cd VII |
| $\mathbf{B_{35}}$ | = | $- \left(x_{12} - \frac{1}{2}\right) \, \mathbf{a}_{1}+x_{12} \, \mathbf{a}_{2}+x_{12} \, \mathbf{a}_{3}$ | = | $a x_{12} \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (24g) | Cd VIII |
| $\mathbf{B_{36}}$ | = | $x_{12} \, \mathbf{a}_{1}- \left(x_{12} - \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{12} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{12} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (24g) | Cd VIII |
| $\mathbf{B_{37}}$ | = | $x_{12} \, \mathbf{a}_{1}- \left(x_{12} - \frac{1}{2}\right) \, \mathbf{a}_{2}+x_{12} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+a x_{12} \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (24g) | Cd VIII |
| $\mathbf{B_{38}}$ | = | $- \left(x_{12} - \frac{1}{2}\right) \, \mathbf{a}_{1}+x_{12} \, \mathbf{a}_{2}- \left(x_{12} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}- a \left(x_{12} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (24g) | Cd VIII |
| $\mathbf{B_{39}}$ | = | $x_{12} \, \mathbf{a}_{1}+x_{12} \, \mathbf{a}_{2}- \left(x_{12} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+a x_{12} \,\mathbf{\hat{z}}$ | (24g) | Cd VIII |
| $\mathbf{B_{40}}$ | = | $- \left(x_{12} - \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{12} - \frac{1}{2}\right) \, \mathbf{a}_{2}+x_{12} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}- a \left(x_{12} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (24g) | Cd VIII |
| $\mathbf{B_{41}}$ | = | $z_{13} \, \mathbf{a}_{1}+z_{13} \, \mathbf{a}_{2}+\left(2 x_{13} - z_{13}\right) \, \mathbf{a}_{3}$ | = | $a x_{13} \,\mathbf{\hat{x}}+a x_{13} \,\mathbf{\hat{y}}+a z_{13} \,\mathbf{\hat{z}}$ | (48h) | Cd IX |
| $\mathbf{B_{42}}$ | = | $z_{13} \, \mathbf{a}_{1}+z_{13} \, \mathbf{a}_{2}- \left(2 x_{13} + z_{13}\right) \, \mathbf{a}_{3}$ | = | $- a x_{13} \,\mathbf{\hat{x}}- a x_{13} \,\mathbf{\hat{y}}+a z_{13} \,\mathbf{\hat{z}}$ | (48h) | Cd IX |
| $\mathbf{B_{43}}$ | = | $\left(2 x_{13} - z_{13}\right) \, \mathbf{a}_{1}- \left(2 x_{13} + z_{13}\right) \, \mathbf{a}_{2}+z_{13} \, \mathbf{a}_{3}$ | = | $- a x_{13} \,\mathbf{\hat{x}}+a x_{13} \,\mathbf{\hat{y}}- a z_{13} \,\mathbf{\hat{z}}$ | (48h) | Cd IX |
| $\mathbf{B_{44}}$ | = | $- \left(2 x_{13} + z_{13}\right) \, \mathbf{a}_{1}+\left(2 x_{13} - z_{13}\right) \, \mathbf{a}_{2}+z_{13} \, \mathbf{a}_{3}$ | = | $a x_{13} \,\mathbf{\hat{x}}- a x_{13} \,\mathbf{\hat{y}}- a z_{13} \,\mathbf{\hat{z}}$ | (48h) | Cd IX |
| $\mathbf{B_{45}}$ | = | $\left(2 x_{13} - z_{13}\right) \, \mathbf{a}_{1}+z_{13} \, \mathbf{a}_{2}+z_{13} \, \mathbf{a}_{3}$ | = | $a z_{13} \,\mathbf{\hat{x}}+a x_{13} \,\mathbf{\hat{y}}+a x_{13} \,\mathbf{\hat{z}}$ | (48h) | Cd IX |
| $\mathbf{B_{46}}$ | = | $- \left(2 x_{13} + z_{13}\right) \, \mathbf{a}_{1}+z_{13} \, \mathbf{a}_{2}+z_{13} \, \mathbf{a}_{3}$ | = | $a z_{13} \,\mathbf{\hat{x}}- a x_{13} \,\mathbf{\hat{y}}- a x_{13} \,\mathbf{\hat{z}}$ | (48h) | Cd IX |
| $\mathbf{B_{47}}$ | = | $z_{13} \, \mathbf{a}_{1}+\left(2 x_{13} - z_{13}\right) \, \mathbf{a}_{2}- \left(2 x_{13} + z_{13}\right) \, \mathbf{a}_{3}$ | = | $- a z_{13} \,\mathbf{\hat{x}}- a x_{13} \,\mathbf{\hat{y}}+a x_{13} \,\mathbf{\hat{z}}$ | (48h) | Cd IX |
| $\mathbf{B_{48}}$ | = | $z_{13} \, \mathbf{a}_{1}- \left(2 x_{13} + z_{13}\right) \, \mathbf{a}_{2}+\left(2 x_{13} - z_{13}\right) \, \mathbf{a}_{3}$ | = | $- a z_{13} \,\mathbf{\hat{x}}+a x_{13} \,\mathbf{\hat{y}}- a x_{13} \,\mathbf{\hat{z}}$ | (48h) | Cd IX |
| $\mathbf{B_{49}}$ | = | $z_{13} \, \mathbf{a}_{1}+\left(2 x_{13} - z_{13}\right) \, \mathbf{a}_{2}+z_{13} \, \mathbf{a}_{3}$ | = | $a x_{13} \,\mathbf{\hat{x}}+a z_{13} \,\mathbf{\hat{y}}+a x_{13} \,\mathbf{\hat{z}}$ | (48h) | Cd IX |
| $\mathbf{B_{50}}$ | = | $z_{13} \, \mathbf{a}_{1}- \left(2 x_{13} + z_{13}\right) \, \mathbf{a}_{2}+z_{13} \, \mathbf{a}_{3}$ | = | $- a x_{13} \,\mathbf{\hat{x}}+a z_{13} \,\mathbf{\hat{y}}- a x_{13} \,\mathbf{\hat{z}}$ | (48h) | Cd IX |
| $\mathbf{B_{51}}$ | = | $- \left(2 x_{13} + z_{13}\right) \, \mathbf{a}_{1}+z_{13} \, \mathbf{a}_{2}+\left(2 x_{13} - z_{13}\right) \, \mathbf{a}_{3}$ | = | $a x_{13} \,\mathbf{\hat{x}}- a z_{13} \,\mathbf{\hat{y}}- a x_{13} \,\mathbf{\hat{z}}$ | (48h) | Cd IX |
| $\mathbf{B_{52}}$ | = | $\left(2 x_{13} - z_{13}\right) \, \mathbf{a}_{1}+z_{13} \, \mathbf{a}_{2}- \left(2 x_{13} + z_{13}\right) \, \mathbf{a}_{3}$ | = | $- a x_{13} \,\mathbf{\hat{x}}- a z_{13} \,\mathbf{\hat{y}}+a x_{13} \,\mathbf{\hat{z}}$ | (48h) | Cd IX |
| $\mathbf{B_{53}}$ | = | $z_{14} \, \mathbf{a}_{1}+z_{14} \, \mathbf{a}_{2}+\left(2 x_{14} - z_{14}\right) \, \mathbf{a}_{3}$ | = | $a x_{14} \,\mathbf{\hat{x}}+a x_{14} \,\mathbf{\hat{y}}+a z_{14} \,\mathbf{\hat{z}}$ | (48h) | Cd X |
| $\mathbf{B_{54}}$ | = | $z_{14} \, \mathbf{a}_{1}+z_{14} \, \mathbf{a}_{2}- \left(2 x_{14} + z_{14}\right) \, \mathbf{a}_{3}$ | = | $- a x_{14} \,\mathbf{\hat{x}}- a x_{14} \,\mathbf{\hat{y}}+a z_{14} \,\mathbf{\hat{z}}$ | (48h) | Cd X |
| $\mathbf{B_{55}}$ | = | $\left(2 x_{14} - z_{14}\right) \, \mathbf{a}_{1}- \left(2 x_{14} + z_{14}\right) \, \mathbf{a}_{2}+z_{14} \, \mathbf{a}_{3}$ | = | $- a x_{14} \,\mathbf{\hat{x}}+a x_{14} \,\mathbf{\hat{y}}- a z_{14} \,\mathbf{\hat{z}}$ | (48h) | Cd X |
| $\mathbf{B_{56}}$ | = | $- \left(2 x_{14} + z_{14}\right) \, \mathbf{a}_{1}+\left(2 x_{14} - z_{14}\right) \, \mathbf{a}_{2}+z_{14} \, \mathbf{a}_{3}$ | = | $a x_{14} \,\mathbf{\hat{x}}- a x_{14} \,\mathbf{\hat{y}}- a z_{14} \,\mathbf{\hat{z}}$ | (48h) | Cd X |
| $\mathbf{B_{57}}$ | = | $\left(2 x_{14} - z_{14}\right) \, \mathbf{a}_{1}+z_{14} \, \mathbf{a}_{2}+z_{14} \, \mathbf{a}_{3}$ | = | $a z_{14} \,\mathbf{\hat{x}}+a x_{14} \,\mathbf{\hat{y}}+a x_{14} \,\mathbf{\hat{z}}$ | (48h) | Cd X |
| $\mathbf{B_{58}}$ | = | $- \left(2 x_{14} + z_{14}\right) \, \mathbf{a}_{1}+z_{14} \, \mathbf{a}_{2}+z_{14} \, \mathbf{a}_{3}$ | = | $a z_{14} \,\mathbf{\hat{x}}- a x_{14} \,\mathbf{\hat{y}}- a x_{14} \,\mathbf{\hat{z}}$ | (48h) | Cd X |
| $\mathbf{B_{59}}$ | = | $z_{14} \, \mathbf{a}_{1}+\left(2 x_{14} - z_{14}\right) \, \mathbf{a}_{2}- \left(2 x_{14} + z_{14}\right) \, \mathbf{a}_{3}$ | = | $- a z_{14} \,\mathbf{\hat{x}}- a x_{14} \,\mathbf{\hat{y}}+a x_{14} \,\mathbf{\hat{z}}$ | (48h) | Cd X |
| $\mathbf{B_{60}}$ | = | $z_{14} \, \mathbf{a}_{1}- \left(2 x_{14} + z_{14}\right) \, \mathbf{a}_{2}+\left(2 x_{14} - z_{14}\right) \, \mathbf{a}_{3}$ | = | $- a z_{14} \,\mathbf{\hat{x}}+a x_{14} \,\mathbf{\hat{y}}- a x_{14} \,\mathbf{\hat{z}}$ | (48h) | Cd X |
| $\mathbf{B_{61}}$ | = | $z_{14} \, \mathbf{a}_{1}+\left(2 x_{14} - z_{14}\right) \, \mathbf{a}_{2}+z_{14} \, \mathbf{a}_{3}$ | = | $a x_{14} \,\mathbf{\hat{x}}+a z_{14} \,\mathbf{\hat{y}}+a x_{14} \,\mathbf{\hat{z}}$ | (48h) | Cd X |
| $\mathbf{B_{62}}$ | = | $z_{14} \, \mathbf{a}_{1}- \left(2 x_{14} + z_{14}\right) \, \mathbf{a}_{2}+z_{14} \, \mathbf{a}_{3}$ | = | $- a x_{14} \,\mathbf{\hat{x}}+a z_{14} \,\mathbf{\hat{y}}- a x_{14} \,\mathbf{\hat{z}}$ | (48h) | Cd X |
| $\mathbf{B_{63}}$ | = | $- \left(2 x_{14} + z_{14}\right) \, \mathbf{a}_{1}+z_{14} \, \mathbf{a}_{2}+\left(2 x_{14} - z_{14}\right) \, \mathbf{a}_{3}$ | = | $a x_{14} \,\mathbf{\hat{x}}- a z_{14} \,\mathbf{\hat{y}}- a x_{14} \,\mathbf{\hat{z}}$ | (48h) | Cd X |
| $\mathbf{B_{64}}$ | = | $\left(2 x_{14} - z_{14}\right) \, \mathbf{a}_{1}+z_{14} \, \mathbf{a}_{2}- \left(2 x_{14} + z_{14}\right) \, \mathbf{a}_{3}$ | = | $- a x_{14} \,\mathbf{\hat{x}}- a z_{14} \,\mathbf{\hat{y}}+a x_{14} \,\mathbf{\hat{z}}$ | (48h) | Cd X |
| $\mathbf{B_{65}}$ | = | $z_{15} \, \mathbf{a}_{1}+z_{15} \, \mathbf{a}_{2}+\left(2 x_{15} - z_{15}\right) \, \mathbf{a}_{3}$ | = | $a x_{15} \,\mathbf{\hat{x}}+a x_{15} \,\mathbf{\hat{y}}+a z_{15} \,\mathbf{\hat{z}}$ | (48h) | Cd XI |
| $\mathbf{B_{66}}$ | = | $z_{15} \, \mathbf{a}_{1}+z_{15} \, \mathbf{a}_{2}- \left(2 x_{15} + z_{15}\right) \, \mathbf{a}_{3}$ | = | $- a x_{15} \,\mathbf{\hat{x}}- a x_{15} \,\mathbf{\hat{y}}+a z_{15} \,\mathbf{\hat{z}}$ | (48h) | Cd XI |
| $\mathbf{B_{67}}$ | = | $\left(2 x_{15} - z_{15}\right) \, \mathbf{a}_{1}- \left(2 x_{15} + z_{15}\right) \, \mathbf{a}_{2}+z_{15} \, \mathbf{a}_{3}$ | = | $- a x_{15} \,\mathbf{\hat{x}}+a x_{15} \,\mathbf{\hat{y}}- a z_{15} \,\mathbf{\hat{z}}$ | (48h) | Cd XI |
| $\mathbf{B_{68}}$ | = | $- \left(2 x_{15} + z_{15}\right) \, \mathbf{a}_{1}+\left(2 x_{15} - z_{15}\right) \, \mathbf{a}_{2}+z_{15} \, \mathbf{a}_{3}$ | = | $a x_{15} \,\mathbf{\hat{x}}- a x_{15} \,\mathbf{\hat{y}}- a z_{15} \,\mathbf{\hat{z}}$ | (48h) | Cd XI |
| $\mathbf{B_{69}}$ | = | $\left(2 x_{15} - z_{15}\right) \, \mathbf{a}_{1}+z_{15} \, \mathbf{a}_{2}+z_{15} \, \mathbf{a}_{3}$ | = | $a z_{15} \,\mathbf{\hat{x}}+a x_{15} \,\mathbf{\hat{y}}+a x_{15} \,\mathbf{\hat{z}}$ | (48h) | Cd XI |
| $\mathbf{B_{70}}$ | = | $- \left(2 x_{15} + z_{15}\right) \, \mathbf{a}_{1}+z_{15} \, \mathbf{a}_{2}+z_{15} \, \mathbf{a}_{3}$ | = | $a z_{15} \,\mathbf{\hat{x}}- a x_{15} \,\mathbf{\hat{y}}- a x_{15} \,\mathbf{\hat{z}}$ | (48h) | Cd XI |
| $\mathbf{B_{71}}$ | = | $z_{15} \, \mathbf{a}_{1}+\left(2 x_{15} - z_{15}\right) \, \mathbf{a}_{2}- \left(2 x_{15} + z_{15}\right) \, \mathbf{a}_{3}$ | = | $- a z_{15} \,\mathbf{\hat{x}}- a x_{15} \,\mathbf{\hat{y}}+a x_{15} \,\mathbf{\hat{z}}$ | (48h) | Cd XI |
| $\mathbf{B_{72}}$ | = | $z_{15} \, \mathbf{a}_{1}- \left(2 x_{15} + z_{15}\right) \, \mathbf{a}_{2}+\left(2 x_{15} - z_{15}\right) \, \mathbf{a}_{3}$ | = | $- a z_{15} \,\mathbf{\hat{x}}+a x_{15} \,\mathbf{\hat{y}}- a x_{15} \,\mathbf{\hat{z}}$ | (48h) | Cd XI |
| $\mathbf{B_{73}}$ | = | $z_{15} \, \mathbf{a}_{1}+\left(2 x_{15} - z_{15}\right) \, \mathbf{a}_{2}+z_{15} \, \mathbf{a}_{3}$ | = | $a x_{15} \,\mathbf{\hat{x}}+a z_{15} \,\mathbf{\hat{y}}+a x_{15} \,\mathbf{\hat{z}}$ | (48h) | Cd XI |
| $\mathbf{B_{74}}$ | = | $z_{15} \, \mathbf{a}_{1}- \left(2 x_{15} + z_{15}\right) \, \mathbf{a}_{2}+z_{15} \, \mathbf{a}_{3}$ | = | $- a x_{15} \,\mathbf{\hat{x}}+a z_{15} \,\mathbf{\hat{y}}- a x_{15} \,\mathbf{\hat{z}}$ | (48h) | Cd XI |
| $\mathbf{B_{75}}$ | = | $- \left(2 x_{15} + z_{15}\right) \, \mathbf{a}_{1}+z_{15} \, \mathbf{a}_{2}+\left(2 x_{15} - z_{15}\right) \, \mathbf{a}_{3}$ | = | $a x_{15} \,\mathbf{\hat{x}}- a z_{15} \,\mathbf{\hat{y}}- a x_{15} \,\mathbf{\hat{z}}$ | (48h) | Cd XI |
| $\mathbf{B_{76}}$ | = | $\left(2 x_{15} - z_{15}\right) \, \mathbf{a}_{1}+z_{15} \, \mathbf{a}_{2}- \left(2 x_{15} + z_{15}\right) \, \mathbf{a}_{3}$ | = | $- a x_{15} \,\mathbf{\hat{x}}- a z_{15} \,\mathbf{\hat{y}}+a x_{15} \,\mathbf{\hat{z}}$ | (48h) | Cd XI |
| $\mathbf{B_{77}}$ | = | $z_{16} \, \mathbf{a}_{1}+z_{16} \, \mathbf{a}_{2}+\left(2 x_{16} - z_{16}\right) \, \mathbf{a}_{3}$ | = | $a x_{16} \,\mathbf{\hat{x}}+a x_{16} \,\mathbf{\hat{y}}+a z_{16} \,\mathbf{\hat{z}}$ | (48h) | Cd XII |
| $\mathbf{B_{78}}$ | = | $z_{16} \, \mathbf{a}_{1}+z_{16} \, \mathbf{a}_{2}- \left(2 x_{16} + z_{16}\right) \, \mathbf{a}_{3}$ | = | $- a x_{16} \,\mathbf{\hat{x}}- a x_{16} \,\mathbf{\hat{y}}+a z_{16} \,\mathbf{\hat{z}}$ | (48h) | Cd XII |
| $\mathbf{B_{79}}$ | = | $\left(2 x_{16} - z_{16}\right) \, \mathbf{a}_{1}- \left(2 x_{16} + z_{16}\right) \, \mathbf{a}_{2}+z_{16} \, \mathbf{a}_{3}$ | = | $- a x_{16} \,\mathbf{\hat{x}}+a x_{16} \,\mathbf{\hat{y}}- a z_{16} \,\mathbf{\hat{z}}$ | (48h) | Cd XII |
| $\mathbf{B_{80}}$ | = | $- \left(2 x_{16} + z_{16}\right) \, \mathbf{a}_{1}+\left(2 x_{16} - z_{16}\right) \, \mathbf{a}_{2}+z_{16} \, \mathbf{a}_{3}$ | = | $a x_{16} \,\mathbf{\hat{x}}- a x_{16} \,\mathbf{\hat{y}}- a z_{16} \,\mathbf{\hat{z}}$ | (48h) | Cd XII |
| $\mathbf{B_{81}}$ | = | $\left(2 x_{16} - z_{16}\right) \, \mathbf{a}_{1}+z_{16} \, \mathbf{a}_{2}+z_{16} \, \mathbf{a}_{3}$ | = | $a z_{16} \,\mathbf{\hat{x}}+a x_{16} \,\mathbf{\hat{y}}+a x_{16} \,\mathbf{\hat{z}}$ | (48h) | Cd XII |
| $\mathbf{B_{82}}$ | = | $- \left(2 x_{16} + z_{16}\right) \, \mathbf{a}_{1}+z_{16} \, \mathbf{a}_{2}+z_{16} \, \mathbf{a}_{3}$ | = | $a z_{16} \,\mathbf{\hat{x}}- a x_{16} \,\mathbf{\hat{y}}- a x_{16} \,\mathbf{\hat{z}}$ | (48h) | Cd XII |
| $\mathbf{B_{83}}$ | = | $z_{16} \, \mathbf{a}_{1}+\left(2 x_{16} - z_{16}\right) \, \mathbf{a}_{2}- \left(2 x_{16} + z_{16}\right) \, \mathbf{a}_{3}$ | = | $- a z_{16} \,\mathbf{\hat{x}}- a x_{16} \,\mathbf{\hat{y}}+a x_{16} \,\mathbf{\hat{z}}$ | (48h) | Cd XII |
| $\mathbf{B_{84}}$ | = | $z_{16} \, \mathbf{a}_{1}- \left(2 x_{16} + z_{16}\right) \, \mathbf{a}_{2}+\left(2 x_{16} - z_{16}\right) \, \mathbf{a}_{3}$ | = | $- a z_{16} \,\mathbf{\hat{x}}+a x_{16} \,\mathbf{\hat{y}}- a x_{16} \,\mathbf{\hat{z}}$ | (48h) | Cd XII |
| $\mathbf{B_{85}}$ | = | $z_{16} \, \mathbf{a}_{1}+\left(2 x_{16} - z_{16}\right) \, \mathbf{a}_{2}+z_{16} \, \mathbf{a}_{3}$ | = | $a x_{16} \,\mathbf{\hat{x}}+a z_{16} \,\mathbf{\hat{y}}+a x_{16} \,\mathbf{\hat{z}}$ | (48h) | Cd XII |
| $\mathbf{B_{86}}$ | = | $z_{16} \, \mathbf{a}_{1}- \left(2 x_{16} + z_{16}\right) \, \mathbf{a}_{2}+z_{16} \, \mathbf{a}_{3}$ | = | $- a x_{16} \,\mathbf{\hat{x}}+a z_{16} \,\mathbf{\hat{y}}- a x_{16} \,\mathbf{\hat{z}}$ | (48h) | Cd XII |
| $\mathbf{B_{87}}$ | = | $- \left(2 x_{16} + z_{16}\right) \, \mathbf{a}_{1}+z_{16} \, \mathbf{a}_{2}+\left(2 x_{16} - z_{16}\right) \, \mathbf{a}_{3}$ | = | $a x_{16} \,\mathbf{\hat{x}}- a z_{16} \,\mathbf{\hat{y}}- a x_{16} \,\mathbf{\hat{z}}$ | (48h) | Cd XII |
| $\mathbf{B_{88}}$ | = | $\left(2 x_{16} - z_{16}\right) \, \mathbf{a}_{1}+z_{16} \, \mathbf{a}_{2}- \left(2 x_{16} + z_{16}\right) \, \mathbf{a}_{3}$ | = | $- a x_{16} \,\mathbf{\hat{x}}- a z_{16} \,\mathbf{\hat{y}}+a x_{16} \,\mathbf{\hat{z}}$ | (48h) | Cd XII |
| $\mathbf{B_{89}}$ | = | $z_{17} \, \mathbf{a}_{1}+z_{17} \, \mathbf{a}_{2}+\left(2 x_{17} - z_{17}\right) \, \mathbf{a}_{3}$ | = | $a x_{17} \,\mathbf{\hat{x}}+a x_{17} \,\mathbf{\hat{y}}+a z_{17} \,\mathbf{\hat{z}}$ | (48h) | Cd XIII |
| $\mathbf{B_{90}}$ | = | $z_{17} \, \mathbf{a}_{1}+z_{17} \, \mathbf{a}_{2}- \left(2 x_{17} + z_{17}\right) \, \mathbf{a}_{3}$ | = | $- a x_{17} \,\mathbf{\hat{x}}- a x_{17} \,\mathbf{\hat{y}}+a z_{17} \,\mathbf{\hat{z}}$ | (48h) | Cd XIII |
| $\mathbf{B_{91}}$ | = | $\left(2 x_{17} - z_{17}\right) \, \mathbf{a}_{1}- \left(2 x_{17} + z_{17}\right) \, \mathbf{a}_{2}+z_{17} \, \mathbf{a}_{3}$ | = | $- a x_{17} \,\mathbf{\hat{x}}+a x_{17} \,\mathbf{\hat{y}}- a z_{17} \,\mathbf{\hat{z}}$ | (48h) | Cd XIII |
| $\mathbf{B_{92}}$ | = | $- \left(2 x_{17} + z_{17}\right) \, \mathbf{a}_{1}+\left(2 x_{17} - z_{17}\right) \, \mathbf{a}_{2}+z_{17} \, \mathbf{a}_{3}$ | = | $a x_{17} \,\mathbf{\hat{x}}- a x_{17} \,\mathbf{\hat{y}}- a z_{17} \,\mathbf{\hat{z}}$ | (48h) | Cd XIII |
| $\mathbf{B_{93}}$ | = | $\left(2 x_{17} - z_{17}\right) \, \mathbf{a}_{1}+z_{17} \, \mathbf{a}_{2}+z_{17} \, \mathbf{a}_{3}$ | = | $a z_{17} \,\mathbf{\hat{x}}+a x_{17} \,\mathbf{\hat{y}}+a x_{17} \,\mathbf{\hat{z}}$ | (48h) | Cd XIII |
| $\mathbf{B_{94}}$ | = | $- \left(2 x_{17} + z_{17}\right) \, \mathbf{a}_{1}+z_{17} \, \mathbf{a}_{2}+z_{17} \, \mathbf{a}_{3}$ | = | $a z_{17} \,\mathbf{\hat{x}}- a x_{17} \,\mathbf{\hat{y}}- a x_{17} \,\mathbf{\hat{z}}$ | (48h) | Cd XIII |
| $\mathbf{B_{95}}$ | = | $z_{17} \, \mathbf{a}_{1}+\left(2 x_{17} - z_{17}\right) \, \mathbf{a}_{2}- \left(2 x_{17} + z_{17}\right) \, \mathbf{a}_{3}$ | = | $- a z_{17} \,\mathbf{\hat{x}}- a x_{17} \,\mathbf{\hat{y}}+a x_{17} \,\mathbf{\hat{z}}$ | (48h) | Cd XIII |
| $\mathbf{B_{96}}$ | = | $z_{17} \, \mathbf{a}_{1}- \left(2 x_{17} + z_{17}\right) \, \mathbf{a}_{2}+\left(2 x_{17} - z_{17}\right) \, \mathbf{a}_{3}$ | = | $- a z_{17} \,\mathbf{\hat{x}}+a x_{17} \,\mathbf{\hat{y}}- a x_{17} \,\mathbf{\hat{z}}$ | (48h) | Cd XIII |
| $\mathbf{B_{97}}$ | = | $z_{17} \, \mathbf{a}_{1}+\left(2 x_{17} - z_{17}\right) \, \mathbf{a}_{2}+z_{17} \, \mathbf{a}_{3}$ | = | $a x_{17} \,\mathbf{\hat{x}}+a z_{17} \,\mathbf{\hat{y}}+a x_{17} \,\mathbf{\hat{z}}$ | (48h) | Cd XIII |
| $\mathbf{B_{98}}$ | = | $z_{17} \, \mathbf{a}_{1}- \left(2 x_{17} + z_{17}\right) \, \mathbf{a}_{2}+z_{17} \, \mathbf{a}_{3}$ | = | $- a x_{17} \,\mathbf{\hat{x}}+a z_{17} \,\mathbf{\hat{y}}- a x_{17} \,\mathbf{\hat{z}}$ | (48h) | Cd XIII |
| $\mathbf{B_{99}}$ | = | $- \left(2 x_{17} + z_{17}\right) \, \mathbf{a}_{1}+z_{17} \, \mathbf{a}_{2}+\left(2 x_{17} - z_{17}\right) \, \mathbf{a}_{3}$ | = | $a x_{17} \,\mathbf{\hat{x}}- a z_{17} \,\mathbf{\hat{y}}- a x_{17} \,\mathbf{\hat{z}}$ | (48h) | Cd XIII |
| $\mathbf{B_{100}}$ | = | $\left(2 x_{17} - z_{17}\right) \, \mathbf{a}_{1}+z_{17} \, \mathbf{a}_{2}- \left(2 x_{17} + z_{17}\right) \, \mathbf{a}_{3}$ | = | $- a x_{17} \,\mathbf{\hat{x}}- a z_{17} \,\mathbf{\hat{y}}+a x_{17} \,\mathbf{\hat{z}}$ | (48h) | Cd XIII |
| $\mathbf{B_{101}}$ | = | $z_{18} \, \mathbf{a}_{1}+z_{18} \, \mathbf{a}_{2}+\left(2 x_{18} - z_{18}\right) \, \mathbf{a}_{3}$ | = | $a x_{18} \,\mathbf{\hat{x}}+a x_{18} \,\mathbf{\hat{y}}+a z_{18} \,\mathbf{\hat{z}}$ | (48h) | Sm V |
| $\mathbf{B_{102}}$ | = | $z_{18} \, \mathbf{a}_{1}+z_{18} \, \mathbf{a}_{2}- \left(2 x_{18} + z_{18}\right) \, \mathbf{a}_{3}$ | = | $- a x_{18} \,\mathbf{\hat{x}}- a x_{18} \,\mathbf{\hat{y}}+a z_{18} \,\mathbf{\hat{z}}$ | (48h) | Sm V |
| $\mathbf{B_{103}}$ | = | $\left(2 x_{18} - z_{18}\right) \, \mathbf{a}_{1}- \left(2 x_{18} + z_{18}\right) \, \mathbf{a}_{2}+z_{18} \, \mathbf{a}_{3}$ | = | $- a x_{18} \,\mathbf{\hat{x}}+a x_{18} \,\mathbf{\hat{y}}- a z_{18} \,\mathbf{\hat{z}}$ | (48h) | Sm V |
| $\mathbf{B_{104}}$ | = | $- \left(2 x_{18} + z_{18}\right) \, \mathbf{a}_{1}+\left(2 x_{18} - z_{18}\right) \, \mathbf{a}_{2}+z_{18} \, \mathbf{a}_{3}$ | = | $a x_{18} \,\mathbf{\hat{x}}- a x_{18} \,\mathbf{\hat{y}}- a z_{18} \,\mathbf{\hat{z}}$ | (48h) | Sm V |
| $\mathbf{B_{105}}$ | = | $\left(2 x_{18} - z_{18}\right) \, \mathbf{a}_{1}+z_{18} \, \mathbf{a}_{2}+z_{18} \, \mathbf{a}_{3}$ | = | $a z_{18} \,\mathbf{\hat{x}}+a x_{18} \,\mathbf{\hat{y}}+a x_{18} \,\mathbf{\hat{z}}$ | (48h) | Sm V |
| $\mathbf{B_{106}}$ | = | $- \left(2 x_{18} + z_{18}\right) \, \mathbf{a}_{1}+z_{18} \, \mathbf{a}_{2}+z_{18} \, \mathbf{a}_{3}$ | = | $a z_{18} \,\mathbf{\hat{x}}- a x_{18} \,\mathbf{\hat{y}}- a x_{18} \,\mathbf{\hat{z}}$ | (48h) | Sm V |
| $\mathbf{B_{107}}$ | = | $z_{18} \, \mathbf{a}_{1}+\left(2 x_{18} - z_{18}\right) \, \mathbf{a}_{2}- \left(2 x_{18} + z_{18}\right) \, \mathbf{a}_{3}$ | = | $- a z_{18} \,\mathbf{\hat{x}}- a x_{18} \,\mathbf{\hat{y}}+a x_{18} \,\mathbf{\hat{z}}$ | (48h) | Sm V |
| $\mathbf{B_{108}}$ | = | $z_{18} \, \mathbf{a}_{1}- \left(2 x_{18} + z_{18}\right) \, \mathbf{a}_{2}+\left(2 x_{18} - z_{18}\right) \, \mathbf{a}_{3}$ | = | $- a z_{18} \,\mathbf{\hat{x}}+a x_{18} \,\mathbf{\hat{y}}- a x_{18} \,\mathbf{\hat{z}}$ | (48h) | Sm V |
| $\mathbf{B_{109}}$ | = | $z_{18} \, \mathbf{a}_{1}+\left(2 x_{18} - z_{18}\right) \, \mathbf{a}_{2}+z_{18} \, \mathbf{a}_{3}$ | = | $a x_{18} \,\mathbf{\hat{x}}+a z_{18} \,\mathbf{\hat{y}}+a x_{18} \,\mathbf{\hat{z}}$ | (48h) | Sm V |
| $\mathbf{B_{110}}$ | = | $z_{18} \, \mathbf{a}_{1}- \left(2 x_{18} + z_{18}\right) \, \mathbf{a}_{2}+z_{18} \, \mathbf{a}_{3}$ | = | $- a x_{18} \,\mathbf{\hat{x}}+a z_{18} \,\mathbf{\hat{y}}- a x_{18} \,\mathbf{\hat{z}}$ | (48h) | Sm V |
| $\mathbf{B_{111}}$ | = | $- \left(2 x_{18} + z_{18}\right) \, \mathbf{a}_{1}+z_{18} \, \mathbf{a}_{2}+\left(2 x_{18} - z_{18}\right) \, \mathbf{a}_{3}$ | = | $a x_{18} \,\mathbf{\hat{x}}- a z_{18} \,\mathbf{\hat{y}}- a x_{18} \,\mathbf{\hat{z}}$ | (48h) | Sm V |
| $\mathbf{B_{112}}$ | = | $\left(2 x_{18} - z_{18}\right) \, \mathbf{a}_{1}+z_{18} \, \mathbf{a}_{2}- \left(2 x_{18} + z_{18}\right) \, \mathbf{a}_{3}$ | = | $- a x_{18} \,\mathbf{\hat{x}}- a z_{18} \,\mathbf{\hat{y}}+a x_{18} \,\mathbf{\hat{z}}$ | (48h) | Sm V |
References
- M. L. Fornasini, B. Chabot, and E. Parthé, The crystal structure of Sm11Cd45 with γ-brass and α-Mn clusters, Acta Crystallogr. Sect. B 34, 2093–2099 (1978), doi:10.1107/S0567740878007505.
Prototype Generator
aflow --proto=A45B11_cF448_216_ac4efg5h_bd2eh --params=$a,x_{5},x_{6},x_{7},x_{8},x_{9},x_{10},x_{11},x_{12},x_{13},z_{13},x_{14},z_{14},x_{15},z_{15},x_{16},z_{16},x_{17},z_{17},x_{18},z_{18}$