Zn$_{40}$Mo$_{7}$Sn$_{12}$ Structure: A7B12C40_cF944_226_abi_j_efgh2ij-001
| Prototype | Mo$_{7}$Sn$_{12}$Zn$_{40}$ |
| AFLOW prototype label | A7B12C40_cF944_226_abi_j_efgh2ij-001 |
| ICSD | 407962 |
| CCDC | 1725480 |
| Pearson symbol | cF944 |
| Space group number | 226 |
| Space group symbol | $Fm\overline{3}c$ |
| AFLOW prototype command |
aflow --proto=A7B12C40_cF944_226_abi_j_efgh2ij-001
--params=$a, \allowbreak x_{3}, \allowbreak x_{4}, \allowbreak x_{5}, \allowbreak y_{6}, \allowbreak y_{7}, \allowbreak z_{7}, \allowbreak y_{8}, \allowbreak z_{8}, \allowbreak y_{9}, \allowbreak z_{9}, \allowbreak x_{10}, \allowbreak y_{10}, \allowbreak z_{10}, \allowbreak x_{11}, \allowbreak y_{11}, \allowbreak z_{11}$ |
- (Hillebrecht, 1997) state that the Zn II (48f) site is only occupied 68% of the time, while the Zn III site is occupied 91% of the time. This makes the nominal composition of this structure Zn$_{38.68}$Mo$_{7}$Sn$_{12}$. The ICSD CIF list the occupation as 100% for all sites, but we have edited the AFLOW CIF to reflect the published occupations.
\[ \begin{array}{ccc}
\mathbf{a_{1}}&=&\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}\\\mathbf{a_{2}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{z}}\\\mathbf{a_{3}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}
\end{array}\]
Basis vectors
| Lattice coordinates | Cartesian coordinates | Wyckoff position | Atom type | |||
|---|---|---|---|---|---|---|
| $\mathbf{B_{1}}$ | = | $\frac{1}{4} \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (8a) | Mo I |
| $\mathbf{B_{2}}$ | = | $\frac{3}{4} \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ | = | $\frac{3}{4}a \,\mathbf{\hat{x}}+\frac{3}{4}a \,\mathbf{\hat{y}}+\frac{3}{4}a \,\mathbf{\hat{z}}$ | (8a) | Mo I |
| $\mathbf{B_{3}}$ | = | $0$ | = | $0$ | (8b) | Mo II |
| $\mathbf{B_{4}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (8b) | Mo II |
| $\mathbf{B_{5}}$ | = | $- x_{3} \, \mathbf{a}_{1}+x_{3} \, \mathbf{a}_{2}+x_{3} \, \mathbf{a}_{3}$ | = | $a x_{3} \,\mathbf{\hat{x}}$ | (48e) | Zn I |
| $\mathbf{B_{6}}$ | = | $x_{3} \, \mathbf{a}_{1}- x_{3} \, \mathbf{a}_{2}- x_{3} \, \mathbf{a}_{3}$ | = | $- a x_{3} \,\mathbf{\hat{x}}$ | (48e) | Zn I |
| $\mathbf{B_{7}}$ | = | $x_{3} \, \mathbf{a}_{1}- x_{3} \, \mathbf{a}_{2}+x_{3} \, \mathbf{a}_{3}$ | = | $a x_{3} \,\mathbf{\hat{y}}$ | (48e) | Zn I |
| $\mathbf{B_{8}}$ | = | $- x_{3} \, \mathbf{a}_{1}+x_{3} \, \mathbf{a}_{2}- x_{3} \, \mathbf{a}_{3}$ | = | $- a x_{3} \,\mathbf{\hat{y}}$ | (48e) | Zn I |
| $\mathbf{B_{9}}$ | = | $x_{3} \, \mathbf{a}_{1}+x_{3} \, \mathbf{a}_{2}- x_{3} \, \mathbf{a}_{3}$ | = | $a x_{3} \,\mathbf{\hat{z}}$ | (48e) | Zn I |
| $\mathbf{B_{10}}$ | = | $- x_{3} \, \mathbf{a}_{1}- x_{3} \, \mathbf{a}_{2}+x_{3} \, \mathbf{a}_{3}$ | = | $- a x_{3} \,\mathbf{\hat{z}}$ | (48e) | Zn I |
| $\mathbf{B_{11}}$ | = | $\left(x_{3} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{3} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{3} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+a \left(x_{3} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (48e) | Zn I |
| $\mathbf{B_{12}}$ | = | $- \left(x_{3} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{3} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{3} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- a \left(x_{3} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (48e) | Zn I |
| $\mathbf{B_{13}}$ | = | $- \left(x_{3} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{3} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{3} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{3} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (48e) | Zn I |
| $\mathbf{B_{14}}$ | = | $\left(x_{3} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{3} - \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{3} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{3} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (48e) | Zn I |
| $\mathbf{B_{15}}$ | = | $- \left(x_{3} - \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{3} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{3} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- a \left(x_{3} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (48e) | Zn I |
| $\mathbf{B_{16}}$ | = | $\left(x_{3} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{3} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{3} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+a \left(x_{3} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (48e) | Zn I |
| $\mathbf{B_{17}}$ | = | $- \left(x_{4} - \frac{1}{2}\right) \, \mathbf{a}_{1}+x_{4} \, \mathbf{a}_{2}+x_{4} \, \mathbf{a}_{3}$ | = | $a x_{4} \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (48f) | Zn II |
| $\mathbf{B_{18}}$ | = | $x_{4} \, \mathbf{a}_{1}- \left(x_{4} - \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{4} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{4} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (48f) | Zn II |
| $\mathbf{B_{19}}$ | = | $x_{4} \, \mathbf{a}_{1}- \left(x_{4} - \frac{1}{2}\right) \, \mathbf{a}_{2}+x_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+a x_{4} \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (48f) | Zn II |
| $\mathbf{B_{20}}$ | = | $- \left(x_{4} - \frac{1}{2}\right) \, \mathbf{a}_{1}+x_{4} \, \mathbf{a}_{2}- \left(x_{4} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}- a \left(x_{4} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (48f) | Zn II |
| $\mathbf{B_{21}}$ | = | $x_{4} \, \mathbf{a}_{1}+x_{4} \, \mathbf{a}_{2}- \left(x_{4} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+a x_{4} \,\mathbf{\hat{z}}$ | (48f) | Zn II |
| $\mathbf{B_{22}}$ | = | $- \left(x_{4} - \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{4} - \frac{1}{2}\right) \, \mathbf{a}_{2}+x_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}- a \left(x_{4} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (48f) | Zn II |
| $\mathbf{B_{23}}$ | = | $\left(x_{4} + \frac{1}{2}\right) \, \mathbf{a}_{1}- x_{4} \, \mathbf{a}_{2}- x_{4} \, \mathbf{a}_{3}$ | = | $- a x_{4} \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (48f) | Zn II |
| $\mathbf{B_{24}}$ | = | $- x_{4} \, \mathbf{a}_{1}+\left(x_{4} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{4} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{4} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (48f) | Zn II |
| $\mathbf{B_{25}}$ | = | $- x_{4} \, \mathbf{a}_{1}+\left(x_{4} + \frac{1}{2}\right) \, \mathbf{a}_{2}- x_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}- a x_{4} \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (48f) | Zn II |
| $\mathbf{B_{26}}$ | = | $\left(x_{4} + \frac{1}{2}\right) \, \mathbf{a}_{1}- x_{4} \, \mathbf{a}_{2}+\left(x_{4} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+a \left(x_{4} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (48f) | Zn II |
| $\mathbf{B_{27}}$ | = | $- x_{4} \, \mathbf{a}_{1}- x_{4} \, \mathbf{a}_{2}+\left(x_{4} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}- a x_{4} \,\mathbf{\hat{z}}$ | (48f) | Zn II |
| $\mathbf{B_{28}}$ | = | $\left(x_{4} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{4} + \frac{1}{2}\right) \, \mathbf{a}_{2}- x_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+a \left(x_{4} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (48f) | Zn II |
| $\mathbf{B_{29}}$ | = | $x_{5} \, \mathbf{a}_{1}+x_{5} \, \mathbf{a}_{2}+x_{5} \, \mathbf{a}_{3}$ | = | $a x_{5} \,\mathbf{\hat{x}}+a x_{5} \,\mathbf{\hat{y}}+a x_{5} \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{30}}$ | = | $x_{5} \, \mathbf{a}_{1}+x_{5} \, \mathbf{a}_{2}- 3 x_{5} \, \mathbf{a}_{3}$ | = | $- a x_{5} \,\mathbf{\hat{x}}- a x_{5} \,\mathbf{\hat{y}}+a x_{5} \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{31}}$ | = | $x_{5} \, \mathbf{a}_{1}- 3 x_{5} \, \mathbf{a}_{2}+x_{5} \, \mathbf{a}_{3}$ | = | $- a x_{5} \,\mathbf{\hat{x}}+a x_{5} \,\mathbf{\hat{y}}- a x_{5} \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{32}}$ | = | $- 3 x_{5} \, \mathbf{a}_{1}+x_{5} \, \mathbf{a}_{2}+x_{5} \, \mathbf{a}_{3}$ | = | $a x_{5} \,\mathbf{\hat{x}}- a x_{5} \,\mathbf{\hat{y}}- a x_{5} \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{33}}$ | = | $- \left(x_{5} - \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{5} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(3 x_{5} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{5} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{5} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{5} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{34}}$ | = | $- \left(x_{5} - \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{5} - \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{5} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{5} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{5} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{5} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{35}}$ | = | $- \left(x_{5} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(3 x_{5} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{5} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{5} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{5} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{5} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{36}}$ | = | $\left(3 x_{5} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{5} - \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{5} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{5} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{5} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{5} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{37}}$ | = | $- x_{5} \, \mathbf{a}_{1}- x_{5} \, \mathbf{a}_{2}- x_{5} \, \mathbf{a}_{3}$ | = | $- a x_{5} \,\mathbf{\hat{x}}- a x_{5} \,\mathbf{\hat{y}}- a x_{5} \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{38}}$ | = | $- x_{5} \, \mathbf{a}_{1}- x_{5} \, \mathbf{a}_{2}+3 x_{5} \, \mathbf{a}_{3}$ | = | $a x_{5} \,\mathbf{\hat{x}}+a x_{5} \,\mathbf{\hat{y}}- a x_{5} \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{39}}$ | = | $- x_{5} \, \mathbf{a}_{1}+3 x_{5} \, \mathbf{a}_{2}- x_{5} \, \mathbf{a}_{3}$ | = | $a x_{5} \,\mathbf{\hat{x}}- a x_{5} \,\mathbf{\hat{y}}+a x_{5} \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{40}}$ | = | $3 x_{5} \, \mathbf{a}_{1}- x_{5} \, \mathbf{a}_{2}- x_{5} \, \mathbf{a}_{3}$ | = | $- a x_{5} \,\mathbf{\hat{x}}+a x_{5} \,\mathbf{\hat{y}}+a x_{5} \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{41}}$ | = | $\left(x_{5} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{5} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(3 x_{5} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{5} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{5} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{5} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{42}}$ | = | $\left(x_{5} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{5} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{5} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{5} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{5} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{5} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{43}}$ | = | $\left(x_{5} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(3 x_{5} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{5} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{5} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{5} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{5} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{44}}$ | = | $- \left(3 x_{5} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{5} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{5} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{5} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{5} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{5} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (64g) | Zn III |
| $\mathbf{B_{45}}$ | = | $\left(2 y_{6} + \frac{3}{4}\right) \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{46}}$ | = | $\frac{1}{4} \, \mathbf{a}_{1}+\left(2 y_{6} + \frac{3}{4}\right) \, \mathbf{a}_{2}- \left(2 y_{6} - \frac{3}{4}\right) \, \mathbf{a}_{3}$ | = | $\frac{3}{4}a \,\mathbf{\hat{x}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{47}}$ | = | $\frac{1}{4} \, \mathbf{a}_{1}- \left(2 y_{6} - \frac{3}{4}\right) \, \mathbf{a}_{2}+\left(2 y_{6} + \frac{3}{4}\right) \, \mathbf{a}_{3}$ | = | $\frac{3}{4}a \,\mathbf{\hat{x}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{48}}$ | = | $- \left(2 y_{6} - \frac{3}{4}\right) \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{49}}$ | = | $\frac{1}{4} \, \mathbf{a}_{1}+\left(2 y_{6} + \frac{3}{4}\right) \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ | = | $a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{50}}$ | = | $- \left(2 y_{6} - \frac{3}{4}\right) \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}+\left(2 y_{6} + \frac{3}{4}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{3}{4}a \,\mathbf{\hat{y}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{51}}$ | = | $\left(2 y_{6} + \frac{3}{4}\right) \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}- \left(2 y_{6} - \frac{3}{4}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{3}{4}a \,\mathbf{\hat{y}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{52}}$ | = | $\frac{1}{4} \, \mathbf{a}_{1}- \left(2 y_{6} - \frac{3}{4}\right) \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ | = | $- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{53}}$ | = | $\frac{1}{4} \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}+\left(2 y_{6} + \frac{3}{4}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{54}}$ | = | $\left(2 y_{6} + \frac{3}{4}\right) \, \mathbf{a}_{1}- \left(2 y_{6} - \frac{3}{4}\right) \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ | = | $- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{3}{4}a \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{55}}$ | = | $- \left(2 y_{6} - \frac{3}{4}\right) \, \mathbf{a}_{1}+\left(2 y_{6} + \frac{3}{4}\right) \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ | = | $a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{3}{4}a \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{56}}$ | = | $\frac{1}{4} \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}- \left(2 y_{6} - \frac{3}{4}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{57}}$ | = | $- \left(2 y_{6} - \frac{1}{4}\right) \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ | = | $\frac{3}{4}a \,\mathbf{\hat{x}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{58}}$ | = | $\frac{3}{4} \, \mathbf{a}_{1}- \left(2 y_{6} - \frac{1}{4}\right) \, \mathbf{a}_{2}+\left(2 y_{6} + \frac{1}{4}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{59}}$ | = | $\frac{3}{4} \, \mathbf{a}_{1}+\left(2 y_{6} + \frac{1}{4}\right) \, \mathbf{a}_{2}- \left(2 y_{6} - \frac{1}{4}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{60}}$ | = | $\left(2 y_{6} + \frac{1}{4}\right) \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ | = | $\frac{3}{4}a \,\mathbf{\hat{x}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{61}}$ | = | $\frac{3}{4} \, \mathbf{a}_{1}- \left(2 y_{6} - \frac{1}{4}\right) \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ | = | $- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{3}{4}a \,\mathbf{\hat{y}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{62}}$ | = | $\left(2 y_{6} + \frac{1}{4}\right) \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}- \left(2 y_{6} - \frac{1}{4}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{63}}$ | = | $- \left(2 y_{6} - \frac{1}{4}\right) \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}+\left(2 y_{6} + \frac{1}{4}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{64}}$ | = | $\frac{3}{4} \, \mathbf{a}_{1}+\left(2 y_{6} + \frac{1}{4}\right) \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ | = | $a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{3}{4}a \,\mathbf{\hat{y}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{65}}$ | = | $\frac{3}{4} \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}- \left(2 y_{6} - \frac{1}{4}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{3}{4}a \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{66}}$ | = | $- \left(2 y_{6} - \frac{1}{4}\right) \, \mathbf{a}_{1}+\left(2 y_{6} + \frac{1}{4}\right) \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ | = | $a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{67}}$ | = | $\left(2 y_{6} + \frac{1}{4}\right) \, \mathbf{a}_{1}- \left(2 y_{6} - \frac{1}{4}\right) \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ | = | $- a \left(y_{6} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{68}}$ | = | $\frac{3}{4} \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}+\left(2 y_{6} + \frac{1}{4}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{6} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{3}{4}a \,\mathbf{\hat{z}}$ | (96h) | Zn IV |
| $\mathbf{B_{69}}$ | = | $\left(y_{7} + z_{7}\right) \, \mathbf{a}_{1}- \left(y_{7} - z_{7}\right) \, \mathbf{a}_{2}+\left(y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ | = | $a y_{7} \,\mathbf{\hat{y}}+a z_{7} \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{70}}$ | = | $- \left(y_{7} - z_{7}\right) \, \mathbf{a}_{1}+\left(y_{7} + z_{7}\right) \, \mathbf{a}_{2}- \left(y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ | = | $- a y_{7} \,\mathbf{\hat{y}}+a z_{7} \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{71}}$ | = | $\left(y_{7} - z_{7}\right) \, \mathbf{a}_{1}- \left(y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ | = | $a y_{7} \,\mathbf{\hat{y}}- a z_{7} \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{72}}$ | = | $- \left(y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(y_{7} - z_{7}\right) \, \mathbf{a}_{2}- \left(y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ | = | $- a y_{7} \,\mathbf{\hat{y}}- a z_{7} \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{73}}$ | = | $\left(y_{7} - z_{7}\right) \, \mathbf{a}_{1}+\left(y_{7} + z_{7}\right) \, \mathbf{a}_{2}- \left(y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ | = | $a z_{7} \,\mathbf{\hat{x}}+a y_{7} \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{74}}$ | = | $- \left(y_{7} + z_{7}\right) \, \mathbf{a}_{1}- \left(y_{7} - z_{7}\right) \, \mathbf{a}_{2}+\left(y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ | = | $a z_{7} \,\mathbf{\hat{x}}- a y_{7} \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{75}}$ | = | $\left(y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(y_{7} - z_{7}\right) \, \mathbf{a}_{2}- \left(y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ | = | $- a z_{7} \,\mathbf{\hat{x}}+a y_{7} \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{76}}$ | = | $- \left(y_{7} - z_{7}\right) \, \mathbf{a}_{1}- \left(y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ | = | $- a z_{7} \,\mathbf{\hat{x}}- a y_{7} \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{77}}$ | = | $- \left(y_{7} - z_{7}\right) \, \mathbf{a}_{1}+\left(y_{7} - z_{7}\right) \, \mathbf{a}_{2}+\left(y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ | = | $a y_{7} \,\mathbf{\hat{x}}+a z_{7} \,\mathbf{\hat{y}}$ | (96i) | Mo III |
| $\mathbf{B_{78}}$ | = | $\left(y_{7} + z_{7}\right) \, \mathbf{a}_{1}- \left(y_{7} + z_{7}\right) \, \mathbf{a}_{2}- \left(y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ | = | $- a y_{7} \,\mathbf{\hat{x}}+a z_{7} \,\mathbf{\hat{y}}$ | (96i) | Mo III |
| $\mathbf{B_{79}}$ | = | $- \left(y_{7} + z_{7}\right) \, \mathbf{a}_{1}+\left(y_{7} + z_{7}\right) \, \mathbf{a}_{2}+\left(y_{7} - z_{7}\right) \, \mathbf{a}_{3}$ | = | $a y_{7} \,\mathbf{\hat{x}}- a z_{7} \,\mathbf{\hat{y}}$ | (96i) | Mo III |
| $\mathbf{B_{80}}$ | = | $\left(y_{7} - z_{7}\right) \, \mathbf{a}_{1}- \left(y_{7} - z_{7}\right) \, \mathbf{a}_{2}- \left(y_{7} + z_{7}\right) \, \mathbf{a}_{3}$ | = | $- a y_{7} \,\mathbf{\hat{x}}- a z_{7} \,\mathbf{\hat{y}}$ | (96i) | Mo III |
| $\mathbf{B_{81}}$ | = | $- \left(y_{7} + z_{7} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{7} - z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{7} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- a \left(z_{7} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{82}}$ | = | $\left(y_{7} - z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(y_{7} + z_{7} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{7} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- a \left(z_{7} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{83}}$ | = | $\left(- y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{7} - z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{7} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+a \left(z_{7} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{84}}$ | = | $\left(y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(y_{7} + z_{7} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{7} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+a \left(z_{7} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{85}}$ | = | $\left(- y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(y_{7} + z_{7} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+a \left(z_{7} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{7} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{86}}$ | = | $\left(y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{7} - z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+a \left(z_{7} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{7} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{87}}$ | = | $- \left(y_{7} + z_{7} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{7} - z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- a \left(z_{7} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{7} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{88}}$ | = | $\left(y_{7} - z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(y_{7} + z_{7} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- a \left(z_{7} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{7} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{89}}$ | = | $\left(y_{7} - z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{7} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{7} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{90}}$ | = | $- \left(y_{7} + z_{7} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{7} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{7} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{91}}$ | = | $\left(y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(y_{7} + z_{7} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{7} - z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{7} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{7} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{92}}$ | = | $\left(- y_{7} + z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{7} - z_{7} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(y_{7} + z_{7} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{7} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{7} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (96i) | Mo III |
| $\mathbf{B_{93}}$ | = | $\left(y_{8} + z_{8}\right) \, \mathbf{a}_{1}- \left(y_{8} - z_{8}\right) \, \mathbf{a}_{2}+\left(y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ | = | $a y_{8} \,\mathbf{\hat{y}}+a z_{8} \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{94}}$ | = | $- \left(y_{8} - z_{8}\right) \, \mathbf{a}_{1}+\left(y_{8} + z_{8}\right) \, \mathbf{a}_{2}- \left(y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ | = | $- a y_{8} \,\mathbf{\hat{y}}+a z_{8} \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{95}}$ | = | $\left(y_{8} - z_{8}\right) \, \mathbf{a}_{1}- \left(y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ | = | $a y_{8} \,\mathbf{\hat{y}}- a z_{8} \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{96}}$ | = | $- \left(y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(y_{8} - z_{8}\right) \, \mathbf{a}_{2}- \left(y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ | = | $- a y_{8} \,\mathbf{\hat{y}}- a z_{8} \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{97}}$ | = | $\left(y_{8} - z_{8}\right) \, \mathbf{a}_{1}+\left(y_{8} + z_{8}\right) \, \mathbf{a}_{2}- \left(y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ | = | $a z_{8} \,\mathbf{\hat{x}}+a y_{8} \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{98}}$ | = | $- \left(y_{8} + z_{8}\right) \, \mathbf{a}_{1}- \left(y_{8} - z_{8}\right) \, \mathbf{a}_{2}+\left(y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ | = | $a z_{8} \,\mathbf{\hat{x}}- a y_{8} \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{99}}$ | = | $\left(y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(y_{8} - z_{8}\right) \, \mathbf{a}_{2}- \left(y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ | = | $- a z_{8} \,\mathbf{\hat{x}}+a y_{8} \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{100}}$ | = | $- \left(y_{8} - z_{8}\right) \, \mathbf{a}_{1}- \left(y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ | = | $- a z_{8} \,\mathbf{\hat{x}}- a y_{8} \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{101}}$ | = | $- \left(y_{8} - z_{8}\right) \, \mathbf{a}_{1}+\left(y_{8} - z_{8}\right) \, \mathbf{a}_{2}+\left(y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ | = | $a y_{8} \,\mathbf{\hat{x}}+a z_{8} \,\mathbf{\hat{y}}$ | (96i) | Zn V |
| $\mathbf{B_{102}}$ | = | $\left(y_{8} + z_{8}\right) \, \mathbf{a}_{1}- \left(y_{8} + z_{8}\right) \, \mathbf{a}_{2}- \left(y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ | = | $- a y_{8} \,\mathbf{\hat{x}}+a z_{8} \,\mathbf{\hat{y}}$ | (96i) | Zn V |
| $\mathbf{B_{103}}$ | = | $- \left(y_{8} + z_{8}\right) \, \mathbf{a}_{1}+\left(y_{8} + z_{8}\right) \, \mathbf{a}_{2}+\left(y_{8} - z_{8}\right) \, \mathbf{a}_{3}$ | = | $a y_{8} \,\mathbf{\hat{x}}- a z_{8} \,\mathbf{\hat{y}}$ | (96i) | Zn V |
| $\mathbf{B_{104}}$ | = | $\left(y_{8} - z_{8}\right) \, \mathbf{a}_{1}- \left(y_{8} - z_{8}\right) \, \mathbf{a}_{2}- \left(y_{8} + z_{8}\right) \, \mathbf{a}_{3}$ | = | $- a y_{8} \,\mathbf{\hat{x}}- a z_{8} \,\mathbf{\hat{y}}$ | (96i) | Zn V |
| $\mathbf{B_{105}}$ | = | $- \left(y_{8} + z_{8} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{8} - z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{8} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- a \left(z_{8} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{106}}$ | = | $\left(y_{8} - z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(y_{8} + z_{8} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{8} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- a \left(z_{8} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{107}}$ | = | $\left(- y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{8} - z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{8} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+a \left(z_{8} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{108}}$ | = | $\left(y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(y_{8} + z_{8} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{8} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+a \left(z_{8} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{109}}$ | = | $\left(- y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(y_{8} + z_{8} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+a \left(z_{8} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{8} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{110}}$ | = | $\left(y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{8} - z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+a \left(z_{8} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{8} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{111}}$ | = | $- \left(y_{8} + z_{8} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{8} - z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- a \left(z_{8} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{8} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{112}}$ | = | $\left(y_{8} - z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(y_{8} + z_{8} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- a \left(z_{8} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{8} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{113}}$ | = | $\left(y_{8} - z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{8} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{8} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{114}}$ | = | $- \left(y_{8} + z_{8} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{8} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{8} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{115}}$ | = | $\left(y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(y_{8} + z_{8} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{8} - z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{8} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{8} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{116}}$ | = | $\left(- y_{8} + z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{8} - z_{8} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(y_{8} + z_{8} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{8} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{8} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (96i) | Zn V |
| $\mathbf{B_{117}}$ | = | $\left(y_{9} + z_{9}\right) \, \mathbf{a}_{1}- \left(y_{9} - z_{9}\right) \, \mathbf{a}_{2}+\left(y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ | = | $a y_{9} \,\mathbf{\hat{y}}+a z_{9} \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{118}}$ | = | $- \left(y_{9} - z_{9}\right) \, \mathbf{a}_{1}+\left(y_{9} + z_{9}\right) \, \mathbf{a}_{2}- \left(y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ | = | $- a y_{9} \,\mathbf{\hat{y}}+a z_{9} \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{119}}$ | = | $\left(y_{9} - z_{9}\right) \, \mathbf{a}_{1}- \left(y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ | = | $a y_{9} \,\mathbf{\hat{y}}- a z_{9} \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{120}}$ | = | $- \left(y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(y_{9} - z_{9}\right) \, \mathbf{a}_{2}- \left(y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ | = | $- a y_{9} \,\mathbf{\hat{y}}- a z_{9} \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{121}}$ | = | $\left(y_{9} - z_{9}\right) \, \mathbf{a}_{1}+\left(y_{9} + z_{9}\right) \, \mathbf{a}_{2}- \left(y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ | = | $a z_{9} \,\mathbf{\hat{x}}+a y_{9} \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{122}}$ | = | $- \left(y_{9} + z_{9}\right) \, \mathbf{a}_{1}- \left(y_{9} - z_{9}\right) \, \mathbf{a}_{2}+\left(y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ | = | $a z_{9} \,\mathbf{\hat{x}}- a y_{9} \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{123}}$ | = | $\left(y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(y_{9} - z_{9}\right) \, \mathbf{a}_{2}- \left(y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ | = | $- a z_{9} \,\mathbf{\hat{x}}+a y_{9} \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{124}}$ | = | $- \left(y_{9} - z_{9}\right) \, \mathbf{a}_{1}- \left(y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ | = | $- a z_{9} \,\mathbf{\hat{x}}- a y_{9} \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{125}}$ | = | $- \left(y_{9} - z_{9}\right) \, \mathbf{a}_{1}+\left(y_{9} - z_{9}\right) \, \mathbf{a}_{2}+\left(y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ | = | $a y_{9} \,\mathbf{\hat{x}}+a z_{9} \,\mathbf{\hat{y}}$ | (96i) | Zn VI |
| $\mathbf{B_{126}}$ | = | $\left(y_{9} + z_{9}\right) \, \mathbf{a}_{1}- \left(y_{9} + z_{9}\right) \, \mathbf{a}_{2}- \left(y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ | = | $- a y_{9} \,\mathbf{\hat{x}}+a z_{9} \,\mathbf{\hat{y}}$ | (96i) | Zn VI |
| $\mathbf{B_{127}}$ | = | $- \left(y_{9} + z_{9}\right) \, \mathbf{a}_{1}+\left(y_{9} + z_{9}\right) \, \mathbf{a}_{2}+\left(y_{9} - z_{9}\right) \, \mathbf{a}_{3}$ | = | $a y_{9} \,\mathbf{\hat{x}}- a z_{9} \,\mathbf{\hat{y}}$ | (96i) | Zn VI |
| $\mathbf{B_{128}}$ | = | $\left(y_{9} - z_{9}\right) \, \mathbf{a}_{1}- \left(y_{9} - z_{9}\right) \, \mathbf{a}_{2}- \left(y_{9} + z_{9}\right) \, \mathbf{a}_{3}$ | = | $- a y_{9} \,\mathbf{\hat{x}}- a z_{9} \,\mathbf{\hat{y}}$ | (96i) | Zn VI |
| $\mathbf{B_{129}}$ | = | $- \left(y_{9} + z_{9} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{9} - z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{9} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- a \left(z_{9} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{130}}$ | = | $\left(y_{9} - z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(y_{9} + z_{9} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{9} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- a \left(z_{9} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{131}}$ | = | $\left(- y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{9} - z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{9} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+a \left(z_{9} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{132}}$ | = | $\left(y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(y_{9} + z_{9} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{9} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+a \left(z_{9} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{133}}$ | = | $\left(- y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(y_{9} + z_{9} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+a \left(z_{9} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{9} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{134}}$ | = | $\left(y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{9} - z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+a \left(z_{9} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{9} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{135}}$ | = | $- \left(y_{9} + z_{9} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{9} - z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- a \left(z_{9} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{9} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{136}}$ | = | $\left(y_{9} - z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(y_{9} + z_{9} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- a \left(z_{9} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{9} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{137}}$ | = | $\left(y_{9} - z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{9} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{9} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{138}}$ | = | $- \left(y_{9} + z_{9} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{9} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{9} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{139}}$ | = | $\left(y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(y_{9} + z_{9} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(y_{9} - z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{9} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{9} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{140}}$ | = | $\left(- y_{9} + z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(y_{9} - z_{9} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(y_{9} + z_{9} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{9} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{9} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (96i) | Zn VI |
| $\mathbf{B_{141}}$ | = | $\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ | = | $a x_{10} \,\mathbf{\hat{x}}+a y_{10} \,\mathbf{\hat{y}}+a z_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{142}}$ | = | $\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $- a x_{10} \,\mathbf{\hat{x}}- a y_{10} \,\mathbf{\hat{y}}+a z_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{143}}$ | = | $\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $- a x_{10} \,\mathbf{\hat{x}}+a y_{10} \,\mathbf{\hat{y}}- a z_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{144}}$ | = | $- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $a x_{10} \,\mathbf{\hat{x}}- a y_{10} \,\mathbf{\hat{y}}- a z_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{145}}$ | = | $\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{1}+\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $a z_{10} \,\mathbf{\hat{x}}+a x_{10} \,\mathbf{\hat{y}}+a y_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{146}}$ | = | $- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $a z_{10} \,\mathbf{\hat{x}}- a x_{10} \,\mathbf{\hat{y}}- a y_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{147}}$ | = | $\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $- a z_{10} \,\mathbf{\hat{x}}- a x_{10} \,\mathbf{\hat{y}}+a y_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{148}}$ | = | $\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ | = | $- a z_{10} \,\mathbf{\hat{x}}+a x_{10} \,\mathbf{\hat{y}}- a y_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{149}}$ | = | $\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{2}+\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $a y_{10} \,\mathbf{\hat{x}}+a z_{10} \,\mathbf{\hat{y}}+a x_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{150}}$ | = | $\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $- a y_{10} \,\mathbf{\hat{x}}+a z_{10} \,\mathbf{\hat{y}}- a x_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{151}}$ | = | $- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(- x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ | = | $a y_{10} \,\mathbf{\hat{x}}- a z_{10} \,\mathbf{\hat{y}}- a x_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{152}}$ | = | $\left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $- a y_{10} \,\mathbf{\hat{x}}- a z_{10} \,\mathbf{\hat{y}}+a x_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{153}}$ | = | $\left(x_{10} - y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{10} - y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{10} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{10} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(z_{10} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{154}}$ | = | $- \left(x_{10} - y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} - z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{10} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{10} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(z_{10} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{155}}$ | = | $- \left(x_{10} + y_{10} - z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{10} - y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{10} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{10} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(z_{10} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{156}}$ | = | $\left(x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} - z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{10} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{10} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(z_{10} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{157}}$ | = | $- \left(x_{10} + y_{10} - z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{10} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(z_{10} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{10} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{158}}$ | = | $\left(x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{10} - y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} - z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{10} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(z_{10} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{10} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{159}}$ | = | $\left(x_{10} - y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} - z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{10} - y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{10} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(z_{10} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{10} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{160}}$ | = | $- \left(x_{10} - y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{10} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(z_{10} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{10} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{161}}$ | = | $- \left(x_{10} - y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} - z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{10} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{10} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{10} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{162}}$ | = | $\left(x_{10} - y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} - z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{10} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{10} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{10} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{163}}$ | = | $\left(x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{10} - y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{10} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{10} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{10} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{164}}$ | = | $- \left(x_{10} + y_{10} - z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{10} - y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{10} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{10} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{10} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{165}}$ | = | $\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ | = | $- a x_{10} \,\mathbf{\hat{x}}- a y_{10} \,\mathbf{\hat{y}}- a z_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{166}}$ | = | $- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $a x_{10} \,\mathbf{\hat{x}}+a y_{10} \,\mathbf{\hat{y}}- a z_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{167}}$ | = | $- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ | = | $a x_{10} \,\mathbf{\hat{x}}- a y_{10} \,\mathbf{\hat{y}}+a z_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{168}}$ | = | $\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $- a x_{10} \,\mathbf{\hat{x}}+a y_{10} \,\mathbf{\hat{y}}+a z_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{169}}$ | = | $- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $- a z_{10} \,\mathbf{\hat{x}}- a x_{10} \,\mathbf{\hat{y}}- a y_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{170}}$ | = | $\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ | = | $- a z_{10} \,\mathbf{\hat{x}}+a x_{10} \,\mathbf{\hat{y}}+a y_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{171}}$ | = | $\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $a z_{10} \,\mathbf{\hat{x}}+a x_{10} \,\mathbf{\hat{y}}- a y_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{172}}$ | = | $- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ | = | $a z_{10} \,\mathbf{\hat{x}}- a x_{10} \,\mathbf{\hat{y}}+a y_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{173}}$ | = | $- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ | = | $- a y_{10} \,\mathbf{\hat{x}}- a z_{10} \,\mathbf{\hat{y}}- a x_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{174}}$ | = | $\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $a y_{10} \,\mathbf{\hat{x}}- a z_{10} \,\mathbf{\hat{y}}+a x_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{175}}$ | = | $\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} - z_{10}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{3}$ | = | $- a y_{10} \,\mathbf{\hat{x}}+a z_{10} \,\mathbf{\hat{y}}+a x_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{176}}$ | = | $- \left(x_{10} + y_{10} - z_{10}\right) \, \mathbf{a}_{1}- \left(x_{10} - y_{10} + z_{10}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} + z_{10}\right) \, \mathbf{a}_{3}$ | = | $a y_{10} \,\mathbf{\hat{x}}+a z_{10} \,\mathbf{\hat{y}}- a x_{10} \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{177}}$ | = | $\left(- x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{10} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{10} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(z_{10} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{178}}$ | = | $\left(x_{10} - y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{10} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{10} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(z_{10} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{179}}$ | = | $\left(x_{10} + y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{10} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{10} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(z_{10} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{180}}$ | = | $- \left(x_{10} + y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{10} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{10} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(z_{10} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{181}}$ | = | $\left(x_{10} + y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{10} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(z_{10} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{10} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{182}}$ | = | $- \left(x_{10} + y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{10} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(z_{10} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{10} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{183}}$ | = | $\left(- x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{10} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(z_{10} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{10} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{184}}$ | = | $\left(x_{10} - y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{10} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(z_{10} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{10} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{185}}$ | = | $\left(x_{10} - y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{10} + y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{10} + y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{10} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{10} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{10} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{186}}$ | = | $\left(- x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{10} + y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{10} + y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{10} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{10} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{10} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{187}}$ | = | $- \left(x_{10} + y_{10} + z_{10} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{10} - y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{10} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{10} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{10} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{188}}$ | = | $\left(x_{10} + y_{10} - z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{10} - y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- x_{10} + y_{10} + z_{10} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{10} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{10} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{10} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Sn I |
| $\mathbf{B_{189}}$ | = | $\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ | = | $a x_{11} \,\mathbf{\hat{x}}+a y_{11} \,\mathbf{\hat{y}}+a z_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{190}}$ | = | $\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $- a x_{11} \,\mathbf{\hat{x}}- a y_{11} \,\mathbf{\hat{y}}+a z_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{191}}$ | = | $\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $- a x_{11} \,\mathbf{\hat{x}}+a y_{11} \,\mathbf{\hat{y}}- a z_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{192}}$ | = | $- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $a x_{11} \,\mathbf{\hat{x}}- a y_{11} \,\mathbf{\hat{y}}- a z_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{193}}$ | = | $\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{1}+\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $a z_{11} \,\mathbf{\hat{x}}+a x_{11} \,\mathbf{\hat{y}}+a y_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{194}}$ | = | $- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $a z_{11} \,\mathbf{\hat{x}}- a x_{11} \,\mathbf{\hat{y}}- a y_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{195}}$ | = | $\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $- a z_{11} \,\mathbf{\hat{x}}- a x_{11} \,\mathbf{\hat{y}}+a y_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{196}}$ | = | $\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ | = | $- a z_{11} \,\mathbf{\hat{x}}+a x_{11} \,\mathbf{\hat{y}}- a y_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{197}}$ | = | $\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{2}+\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $a y_{11} \,\mathbf{\hat{x}}+a z_{11} \,\mathbf{\hat{y}}+a x_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{198}}$ | = | $\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $- a y_{11} \,\mathbf{\hat{x}}+a z_{11} \,\mathbf{\hat{y}}- a x_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{199}}$ | = | $- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(- x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ | = | $a y_{11} \,\mathbf{\hat{x}}- a z_{11} \,\mathbf{\hat{y}}- a x_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{200}}$ | = | $\left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $- a y_{11} \,\mathbf{\hat{x}}- a z_{11} \,\mathbf{\hat{y}}+a x_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{201}}$ | = | $\left(x_{11} - y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{11} - y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{11} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{11} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(z_{11} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{202}}$ | = | $- \left(x_{11} - y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} - z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{11} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{11} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(z_{11} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{203}}$ | = | $- \left(x_{11} + y_{11} - z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{11} - y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{11} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{11} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(z_{11} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{204}}$ | = | $\left(x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} - z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{11} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{11} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(z_{11} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{205}}$ | = | $- \left(x_{11} + y_{11} - z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{11} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(z_{11} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{11} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{206}}$ | = | $\left(x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{11} - y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} - z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{11} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(z_{11} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{11} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{207}}$ | = | $\left(x_{11} - y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} - z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{11} - y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{11} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(z_{11} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{11} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{208}}$ | = | $- \left(x_{11} - y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{11} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(z_{11} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{11} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{209}}$ | = | $- \left(x_{11} - y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} - z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{11} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{11} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{11} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{210}}$ | = | $\left(x_{11} - y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} - z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{11} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{11} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{11} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{211}}$ | = | $\left(x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{11} - y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{11} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{11} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{11} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{212}}$ | = | $- \left(x_{11} + y_{11} - z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{11} - y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{11} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{11} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{11} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{213}}$ | = | $\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ | = | $- a x_{11} \,\mathbf{\hat{x}}- a y_{11} \,\mathbf{\hat{y}}- a z_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{214}}$ | = | $- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $a x_{11} \,\mathbf{\hat{x}}+a y_{11} \,\mathbf{\hat{y}}- a z_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{215}}$ | = | $- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ | = | $a x_{11} \,\mathbf{\hat{x}}- a y_{11} \,\mathbf{\hat{y}}+a z_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{216}}$ | = | $\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $- a x_{11} \,\mathbf{\hat{x}}+a y_{11} \,\mathbf{\hat{y}}+a z_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{217}}$ | = | $- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $- a z_{11} \,\mathbf{\hat{x}}- a x_{11} \,\mathbf{\hat{y}}- a y_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{218}}$ | = | $\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ | = | $- a z_{11} \,\mathbf{\hat{x}}+a x_{11} \,\mathbf{\hat{y}}+a y_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{219}}$ | = | $\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $a z_{11} \,\mathbf{\hat{x}}+a x_{11} \,\mathbf{\hat{y}}- a y_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{220}}$ | = | $- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ | = | $a z_{11} \,\mathbf{\hat{x}}- a x_{11} \,\mathbf{\hat{y}}+a y_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{221}}$ | = | $- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ | = | $- a y_{11} \,\mathbf{\hat{x}}- a z_{11} \,\mathbf{\hat{y}}- a x_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{222}}$ | = | $\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $a y_{11} \,\mathbf{\hat{x}}- a z_{11} \,\mathbf{\hat{y}}+a x_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{223}}$ | = | $\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} - z_{11}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{3}$ | = | $- a y_{11} \,\mathbf{\hat{x}}+a z_{11} \,\mathbf{\hat{y}}+a x_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{224}}$ | = | $- \left(x_{11} + y_{11} - z_{11}\right) \, \mathbf{a}_{1}- \left(x_{11} - y_{11} + z_{11}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} + z_{11}\right) \, \mathbf{a}_{3}$ | = | $a y_{11} \,\mathbf{\hat{x}}+a z_{11} \,\mathbf{\hat{y}}- a x_{11} \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{225}}$ | = | $\left(- x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{11} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{11} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(z_{11} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{226}}$ | = | $\left(x_{11} - y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{11} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{11} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(z_{11} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{227}}$ | = | $\left(x_{11} + y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{11} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{11} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(z_{11} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{228}}$ | = | $- \left(x_{11} + y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{11} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{11} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(z_{11} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{229}}$ | = | $\left(x_{11} + y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{11} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(z_{11} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{11} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{230}}$ | = | $- \left(x_{11} + y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{11} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(z_{11} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{11} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{231}}$ | = | $\left(- x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{11} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(z_{11} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{11} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{232}}$ | = | $\left(x_{11} - y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{11} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(z_{11} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{11} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{233}}$ | = | $\left(x_{11} - y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{11} + y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{11} + y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{11} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{11} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{11} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{234}}$ | = | $\left(- x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{11} + y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{11} + y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{11} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{11} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{11} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{235}}$ | = | $- \left(x_{11} + y_{11} + z_{11} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{11} - y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{11} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{11} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{11} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
| $\mathbf{B_{236}}$ | = | $\left(x_{11} + y_{11} - z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{11} - y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- x_{11} + y_{11} + z_{11} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{11} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{11} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{11} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192j) | Zn VII |
References
- H. Hillebrecht, V. Kuntze, and K. Gebhardt, Synthese und Kristallstruktur von Mo$_{7}$Sn$_{12}$Zn$_{40}$ – einer kubischen Verbindung mit Ikosaedern aus Ikosaedern, Z. Krystallogr. 212, 840–847 (1997), doi:10.1524/zkri.1997.212.12.840.
Found in
- P. Villars, K. Cenzual, J. Daams, R. Gladyshevskii, O. Shcherban, V. Dubenskyy, N. Melnichenko-Koblyuk, O. Pavlyuk, I. Savesyuk, S. Stoiko, and L. Sysa, Landolt-Börnstein - Group III Condensed Matter 43A1 (Springer-Verlag, Berlin Heidelberg, 2004), chap. Structure Types. Part Space Groups (230) Ia-3d -(219)-F43-c, doi:10.1007/10920459_328.
First cited in
- N. Anderson, M. J. Mehl, H. Eckert, S. Divilov, X. Campilongo, S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 5. Submitted to Computational Materials Science (2026).
Geometry files
Prototype Generator
aflow --proto=A7B12C40_cF944_226_abi_j_efgh2ij --params=$a,x_{3},x_{4},x_{5},y_{6},y_{7},z_{7},y_{8},z_{8},y_{9},z_{9},x_{10},y_{10},z_{10},x_{11},y_{11},z_{11}$