Sn$_{14}$Cl$_{6}$(CH$_{2}$SiMe$_{3}$)$_{12}$ Structure: A24B3C66D6E7_hR212_148_8f_f_22f_2f_c2f-001
| Prototype | C$_{24}$Cl$_{3}$H$_{66}$Si$_{6}$Sn$_{7}$ |
| AFLOW prototype label | A24B3C66D6E7_hR212_148_8f_f_22f_2f_c2f-001 |
| CCDC | 1589223 |
| Pearson symbol | hR212 |
| Space group number | 148 |
| Space group symbol | $R\overline{3}$ |
| AFLOW prototype command |
aflow --proto=A24B3C66D6E7_hR212_148_8f_f_22f_2f_c2f-001
--params=$a, \allowbreak c/a, \allowbreak x_{1}, \allowbreak x_{2}, \allowbreak y_{2}, \allowbreak z_{2}, \allowbreak x_{3}, \allowbreak y_{3}, \allowbreak z_{3}, \allowbreak x_{4}, \allowbreak y_{4}, \allowbreak z_{4}, \allowbreak x_{5}, \allowbreak y_{5}, \allowbreak z_{5}, \allowbreak x_{6}, \allowbreak y_{6}, \allowbreak z_{6}, \allowbreak x_{7}, \allowbreak y_{7}, \allowbreak z_{7}, \allowbreak x_{8}, \allowbreak y_{8}, \allowbreak z_{8}, \allowbreak x_{9}, \allowbreak y_{9}, \allowbreak z_{9}, \allowbreak x_{10}, \allowbreak y_{10}, \allowbreak z_{10}, \allowbreak x_{11}, \allowbreak y_{11}, \allowbreak z_{11}, \allowbreak x_{12}, \allowbreak y_{12}, \allowbreak z_{12}, \allowbreak x_{13}, \allowbreak y_{13}, \allowbreak z_{13}, \allowbreak x_{14}, \allowbreak y_{14}, \allowbreak z_{14}, \allowbreak x_{15}, \allowbreak y_{15}, \allowbreak z_{15}, \allowbreak x_{16}, \allowbreak y_{16}, \allowbreak z_{16}, \allowbreak x_{17}, \allowbreak y_{17}, \allowbreak z_{17}, \allowbreak x_{18}, \allowbreak y_{18}, \allowbreak z_{18}, \allowbreak x_{19}, \allowbreak y_{19}, \allowbreak z_{19}, \allowbreak x_{20}, \allowbreak y_{20}, \allowbreak z_{20}, \allowbreak x_{21}, \allowbreak y_{21}, \allowbreak z_{21}, \allowbreak x_{22}, \allowbreak y_{22}, \allowbreak z_{22}, \allowbreak x_{23}, \allowbreak y_{23}, \allowbreak z_{23}, \allowbreak x_{24}, \allowbreak y_{24}, \allowbreak z_{24}, \allowbreak x_{25}, \allowbreak y_{25}, \allowbreak z_{25}, \allowbreak x_{26}, \allowbreak y_{26}, \allowbreak z_{26}, \allowbreak x_{27}, \allowbreak y_{27}, \allowbreak z_{27}, \allowbreak x_{28}, \allowbreak y_{28}, \allowbreak z_{28}, \allowbreak x_{29}, \allowbreak y_{29}, \allowbreak z_{29}, \allowbreak x_{30}, \allowbreak y_{30}, \allowbreak z_{30}, \allowbreak x_{31}, \allowbreak y_{31}, \allowbreak z_{31}, \allowbreak x_{32}, \allowbreak y_{32}, \allowbreak z_{32}, \allowbreak x_{33}, \allowbreak y_{33}, \allowbreak z_{33}, \allowbreak x_{34}, \allowbreak y_{34}, \allowbreak z_{34}, \allowbreak x_{35}, \allowbreak y_{35}, \allowbreak z_{35}, \allowbreak x_{36}, \allowbreak y_{36}, \allowbreak z_{36}$ |
- Me == methyl group == CH$_{3}$
\[ \begin{array}{ccc}
\mathbf{a_{1}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+\frac{1}{3}c \,\mathbf{\hat{z}}\\\mathbf{a_{2}}&=&\frac{1}{\sqrt{3}}a \,\mathbf{\hat{y}}+\frac{1}{3}c \,\mathbf{\hat{z}}\\\mathbf{a_{3}}&=&- \frac{1}{2}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+\frac{1}{3}c \,\mathbf{\hat{z}}
\end{array}\]
Basis vectors
| Lattice coordinates | Cartesian coordinates | Wyckoff position | Atom type | |||
|---|---|---|---|---|---|---|
| $\mathbf{B_{1}}$ | = | $x_{1} \, \mathbf{a}_{1}+x_{1} \, \mathbf{a}_{2}+x_{1} \, \mathbf{a}_{3}$ | = | $c x_{1} \,\mathbf{\hat{z}}$ | (2c) | Sn I |
| $\mathbf{B_{2}}$ | = | $- x_{1} \, \mathbf{a}_{1}- x_{1} \, \mathbf{a}_{2}- x_{1} \, \mathbf{a}_{3}$ | = | $- c x_{1} \,\mathbf{\hat{z}}$ | (2c) | Sn I |
| $\mathbf{B_{3}}$ | = | $x_{2} \, \mathbf{a}_{1}+y_{2} \, \mathbf{a}_{2}+z_{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{2} - z_{2}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{2} - 2 y_{2} + z_{2}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{2} + y_{2} + z_{2}\right) \,\mathbf{\hat{z}}$ | (6f) | C I |
| $\mathbf{B_{4}}$ | = | $z_{2} \, \mathbf{a}_{1}+x_{2} \, \mathbf{a}_{2}+y_{2} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{2} - z_{2}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{2} - y_{2} - z_{2}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{2} + y_{2} + z_{2}\right) \,\mathbf{\hat{z}}$ | (6f) | C I |
| $\mathbf{B_{5}}$ | = | $y_{2} \, \mathbf{a}_{1}+z_{2} \, \mathbf{a}_{2}+x_{2} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{2} - y_{2}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{2} + y_{2} - 2 z_{2}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{2} + y_{2} + z_{2}\right) \,\mathbf{\hat{z}}$ | (6f) | C I |
| $\mathbf{B_{6}}$ | = | $- x_{2} \, \mathbf{a}_{1}- y_{2} \, \mathbf{a}_{2}- z_{2} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{2} - z_{2}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{2} - 2 y_{2} + z_{2}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{2} + y_{2} + z_{2}\right) \,\mathbf{\hat{z}}$ | (6f) | C I |
| $\mathbf{B_{7}}$ | = | $- z_{2} \, \mathbf{a}_{1}- x_{2} \, \mathbf{a}_{2}- y_{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{2} - z_{2}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{2} - y_{2} - z_{2}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{2} + y_{2} + z_{2}\right) \,\mathbf{\hat{z}}$ | (6f) | C I |
| $\mathbf{B_{8}}$ | = | $- y_{2} \, \mathbf{a}_{1}- z_{2} \, \mathbf{a}_{2}- x_{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{2} - y_{2}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{2} + y_{2} - 2 z_{2}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{2} + y_{2} + z_{2}\right) \,\mathbf{\hat{z}}$ | (6f) | C I |
| $\mathbf{B_{9}}$ | = | $x_{3} \, \mathbf{a}_{1}+y_{3} \, \mathbf{a}_{2}+z_{3} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{3} - z_{3}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{3} - 2 y_{3} + z_{3}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{3} + y_{3} + z_{3}\right) \,\mathbf{\hat{z}}$ | (6f) | C II |
| $\mathbf{B_{10}}$ | = | $z_{3} \, \mathbf{a}_{1}+x_{3} \, \mathbf{a}_{2}+y_{3} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{3} - z_{3}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{3} - y_{3} - z_{3}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{3} + y_{3} + z_{3}\right) \,\mathbf{\hat{z}}$ | (6f) | C II |
| $\mathbf{B_{11}}$ | = | $y_{3} \, \mathbf{a}_{1}+z_{3} \, \mathbf{a}_{2}+x_{3} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{3} - y_{3}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{3} + y_{3} - 2 z_{3}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{3} + y_{3} + z_{3}\right) \,\mathbf{\hat{z}}$ | (6f) | C II |
| $\mathbf{B_{12}}$ | = | $- x_{3} \, \mathbf{a}_{1}- y_{3} \, \mathbf{a}_{2}- z_{3} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{3} - z_{3}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{3} - 2 y_{3} + z_{3}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{3} + y_{3} + z_{3}\right) \,\mathbf{\hat{z}}$ | (6f) | C II |
| $\mathbf{B_{13}}$ | = | $- z_{3} \, \mathbf{a}_{1}- x_{3} \, \mathbf{a}_{2}- y_{3} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{3} - z_{3}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{3} - y_{3} - z_{3}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{3} + y_{3} + z_{3}\right) \,\mathbf{\hat{z}}$ | (6f) | C II |
| $\mathbf{B_{14}}$ | = | $- y_{3} \, \mathbf{a}_{1}- z_{3} \, \mathbf{a}_{2}- x_{3} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{3} - y_{3}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{3} + y_{3} - 2 z_{3}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{3} + y_{3} + z_{3}\right) \,\mathbf{\hat{z}}$ | (6f) | C II |
| $\mathbf{B_{15}}$ | = | $x_{4} \, \mathbf{a}_{1}+y_{4} \, \mathbf{a}_{2}+z_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{4} - z_{4}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{4} - 2 y_{4} + z_{4}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{4} + y_{4} + z_{4}\right) \,\mathbf{\hat{z}}$ | (6f) | C III |
| $\mathbf{B_{16}}$ | = | $z_{4} \, \mathbf{a}_{1}+x_{4} \, \mathbf{a}_{2}+y_{4} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{4} - z_{4}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{4} - y_{4} - z_{4}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{4} + y_{4} + z_{4}\right) \,\mathbf{\hat{z}}$ | (6f) | C III |
| $\mathbf{B_{17}}$ | = | $y_{4} \, \mathbf{a}_{1}+z_{4} \, \mathbf{a}_{2}+x_{4} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{4} - y_{4}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{4} + y_{4} - 2 z_{4}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{4} + y_{4} + z_{4}\right) \,\mathbf{\hat{z}}$ | (6f) | C III |
| $\mathbf{B_{18}}$ | = | $- x_{4} \, \mathbf{a}_{1}- y_{4} \, \mathbf{a}_{2}- z_{4} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{4} - z_{4}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{4} - 2 y_{4} + z_{4}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{4} + y_{4} + z_{4}\right) \,\mathbf{\hat{z}}$ | (6f) | C III |
| $\mathbf{B_{19}}$ | = | $- z_{4} \, \mathbf{a}_{1}- x_{4} \, \mathbf{a}_{2}- y_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{4} - z_{4}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{4} - y_{4} - z_{4}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{4} + y_{4} + z_{4}\right) \,\mathbf{\hat{z}}$ | (6f) | C III |
| $\mathbf{B_{20}}$ | = | $- y_{4} \, \mathbf{a}_{1}- z_{4} \, \mathbf{a}_{2}- x_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{4} - y_{4}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{4} + y_{4} - 2 z_{4}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{4} + y_{4} + z_{4}\right) \,\mathbf{\hat{z}}$ | (6f) | C III |
| $\mathbf{B_{21}}$ | = | $x_{5} \, \mathbf{a}_{1}+y_{5} \, \mathbf{a}_{2}+z_{5} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{5} - z_{5}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{5} - 2 y_{5} + z_{5}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{5} + y_{5} + z_{5}\right) \,\mathbf{\hat{z}}$ | (6f) | C IV |
| $\mathbf{B_{22}}$ | = | $z_{5} \, \mathbf{a}_{1}+x_{5} \, \mathbf{a}_{2}+y_{5} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{5} - z_{5}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{5} - y_{5} - z_{5}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{5} + y_{5} + z_{5}\right) \,\mathbf{\hat{z}}$ | (6f) | C IV |
| $\mathbf{B_{23}}$ | = | $y_{5} \, \mathbf{a}_{1}+z_{5} \, \mathbf{a}_{2}+x_{5} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{5} - y_{5}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{5} + y_{5} - 2 z_{5}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{5} + y_{5} + z_{5}\right) \,\mathbf{\hat{z}}$ | (6f) | C IV |
| $\mathbf{B_{24}}$ | = | $- x_{5} \, \mathbf{a}_{1}- y_{5} \, \mathbf{a}_{2}- z_{5} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{5} - z_{5}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{5} - 2 y_{5} + z_{5}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{5} + y_{5} + z_{5}\right) \,\mathbf{\hat{z}}$ | (6f) | C IV |
| $\mathbf{B_{25}}$ | = | $- z_{5} \, \mathbf{a}_{1}- x_{5} \, \mathbf{a}_{2}- y_{5} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{5} - z_{5}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{5} - y_{5} - z_{5}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{5} + y_{5} + z_{5}\right) \,\mathbf{\hat{z}}$ | (6f) | C IV |
| $\mathbf{B_{26}}$ | = | $- y_{5} \, \mathbf{a}_{1}- z_{5} \, \mathbf{a}_{2}- x_{5} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{5} - y_{5}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{5} + y_{5} - 2 z_{5}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{5} + y_{5} + z_{5}\right) \,\mathbf{\hat{z}}$ | (6f) | C IV |
| $\mathbf{B_{27}}$ | = | $x_{6} \, \mathbf{a}_{1}+y_{6} \, \mathbf{a}_{2}+z_{6} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{6} - z_{6}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{6} - 2 y_{6} + z_{6}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{6} + y_{6} + z_{6}\right) \,\mathbf{\hat{z}}$ | (6f) | C V |
| $\mathbf{B_{28}}$ | = | $z_{6} \, \mathbf{a}_{1}+x_{6} \, \mathbf{a}_{2}+y_{6} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{6} - z_{6}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{6} - y_{6} - z_{6}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{6} + y_{6} + z_{6}\right) \,\mathbf{\hat{z}}$ | (6f) | C V |
| $\mathbf{B_{29}}$ | = | $y_{6} \, \mathbf{a}_{1}+z_{6} \, \mathbf{a}_{2}+x_{6} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{6} - y_{6}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{6} + y_{6} - 2 z_{6}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{6} + y_{6} + z_{6}\right) \,\mathbf{\hat{z}}$ | (6f) | C V |
| $\mathbf{B_{30}}$ | = | $- x_{6} \, \mathbf{a}_{1}- y_{6} \, \mathbf{a}_{2}- z_{6} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{6} - z_{6}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{6} - 2 y_{6} + z_{6}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{6} + y_{6} + z_{6}\right) \,\mathbf{\hat{z}}$ | (6f) | C V |
| $\mathbf{B_{31}}$ | = | $- z_{6} \, \mathbf{a}_{1}- x_{6} \, \mathbf{a}_{2}- y_{6} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{6} - z_{6}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{6} - y_{6} - z_{6}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{6} + y_{6} + z_{6}\right) \,\mathbf{\hat{z}}$ | (6f) | C V |
| $\mathbf{B_{32}}$ | = | $- y_{6} \, \mathbf{a}_{1}- z_{6} \, \mathbf{a}_{2}- x_{6} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{6} - y_{6}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{6} + y_{6} - 2 z_{6}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{6} + y_{6} + z_{6}\right) \,\mathbf{\hat{z}}$ | (6f) | C V |
| $\mathbf{B_{33}}$ | = | $x_{7} \, \mathbf{a}_{1}+y_{7} \, \mathbf{a}_{2}+z_{7} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{7} - z_{7}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{7} - 2 y_{7} + z_{7}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{7} + y_{7} + z_{7}\right) \,\mathbf{\hat{z}}$ | (6f) | C VI |
| $\mathbf{B_{34}}$ | = | $z_{7} \, \mathbf{a}_{1}+x_{7} \, \mathbf{a}_{2}+y_{7} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{7} - z_{7}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{7} - y_{7} - z_{7}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{7} + y_{7} + z_{7}\right) \,\mathbf{\hat{z}}$ | (6f) | C VI |
| $\mathbf{B_{35}}$ | = | $y_{7} \, \mathbf{a}_{1}+z_{7} \, \mathbf{a}_{2}+x_{7} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{7} - y_{7}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{7} + y_{7} - 2 z_{7}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{7} + y_{7} + z_{7}\right) \,\mathbf{\hat{z}}$ | (6f) | C VI |
| $\mathbf{B_{36}}$ | = | $- x_{7} \, \mathbf{a}_{1}- y_{7} \, \mathbf{a}_{2}- z_{7} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{7} - z_{7}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{7} - 2 y_{7} + z_{7}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{7} + y_{7} + z_{7}\right) \,\mathbf{\hat{z}}$ | (6f) | C VI |
| $\mathbf{B_{37}}$ | = | $- z_{7} \, \mathbf{a}_{1}- x_{7} \, \mathbf{a}_{2}- y_{7} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{7} - z_{7}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{7} - y_{7} - z_{7}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{7} + y_{7} + z_{7}\right) \,\mathbf{\hat{z}}$ | (6f) | C VI |
| $\mathbf{B_{38}}$ | = | $- y_{7} \, \mathbf{a}_{1}- z_{7} \, \mathbf{a}_{2}- x_{7} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{7} - y_{7}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{7} + y_{7} - 2 z_{7}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{7} + y_{7} + z_{7}\right) \,\mathbf{\hat{z}}$ | (6f) | C VI |
| $\mathbf{B_{39}}$ | = | $x_{8} \, \mathbf{a}_{1}+y_{8} \, \mathbf{a}_{2}+z_{8} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{8} - z_{8}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{8} - 2 y_{8} + z_{8}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{8} + y_{8} + z_{8}\right) \,\mathbf{\hat{z}}$ | (6f) | C VII |
| $\mathbf{B_{40}}$ | = | $z_{8} \, \mathbf{a}_{1}+x_{8} \, \mathbf{a}_{2}+y_{8} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{8} - z_{8}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{8} - y_{8} - z_{8}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{8} + y_{8} + z_{8}\right) \,\mathbf{\hat{z}}$ | (6f) | C VII |
| $\mathbf{B_{41}}$ | = | $y_{8} \, \mathbf{a}_{1}+z_{8} \, \mathbf{a}_{2}+x_{8} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{8} - y_{8}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{8} + y_{8} - 2 z_{8}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{8} + y_{8} + z_{8}\right) \,\mathbf{\hat{z}}$ | (6f) | C VII |
| $\mathbf{B_{42}}$ | = | $- x_{8} \, \mathbf{a}_{1}- y_{8} \, \mathbf{a}_{2}- z_{8} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{8} - z_{8}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{8} - 2 y_{8} + z_{8}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{8} + y_{8} + z_{8}\right) \,\mathbf{\hat{z}}$ | (6f) | C VII |
| $\mathbf{B_{43}}$ | = | $- z_{8} \, \mathbf{a}_{1}- x_{8} \, \mathbf{a}_{2}- y_{8} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{8} - z_{8}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{8} - y_{8} - z_{8}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{8} + y_{8} + z_{8}\right) \,\mathbf{\hat{z}}$ | (6f) | C VII |
| $\mathbf{B_{44}}$ | = | $- y_{8} \, \mathbf{a}_{1}- z_{8} \, \mathbf{a}_{2}- x_{8} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{8} - y_{8}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{8} + y_{8} - 2 z_{8}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{8} + y_{8} + z_{8}\right) \,\mathbf{\hat{z}}$ | (6f) | C VII |
| $\mathbf{B_{45}}$ | = | $x_{9} \, \mathbf{a}_{1}+y_{9} \, \mathbf{a}_{2}+z_{9} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{9} - z_{9}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{9} - 2 y_{9} + z_{9}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{9} + y_{9} + z_{9}\right) \,\mathbf{\hat{z}}$ | (6f) | C VIII |
| $\mathbf{B_{46}}$ | = | $z_{9} \, \mathbf{a}_{1}+x_{9} \, \mathbf{a}_{2}+y_{9} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{9} - z_{9}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{9} - y_{9} - z_{9}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{9} + y_{9} + z_{9}\right) \,\mathbf{\hat{z}}$ | (6f) | C VIII |
| $\mathbf{B_{47}}$ | = | $y_{9} \, \mathbf{a}_{1}+z_{9} \, \mathbf{a}_{2}+x_{9} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{9} - y_{9}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{9} + y_{9} - 2 z_{9}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{9} + y_{9} + z_{9}\right) \,\mathbf{\hat{z}}$ | (6f) | C VIII |
| $\mathbf{B_{48}}$ | = | $- x_{9} \, \mathbf{a}_{1}- y_{9} \, \mathbf{a}_{2}- z_{9} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{9} - z_{9}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{9} - 2 y_{9} + z_{9}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{9} + y_{9} + z_{9}\right) \,\mathbf{\hat{z}}$ | (6f) | C VIII |
| $\mathbf{B_{49}}$ | = | $- z_{9} \, \mathbf{a}_{1}- x_{9} \, \mathbf{a}_{2}- y_{9} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{9} - z_{9}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{9} - y_{9} - z_{9}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{9} + y_{9} + z_{9}\right) \,\mathbf{\hat{z}}$ | (6f) | C VIII |
| $\mathbf{B_{50}}$ | = | $- y_{9} \, \mathbf{a}_{1}- z_{9} \, \mathbf{a}_{2}- x_{9} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{9} - y_{9}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{9} + y_{9} - 2 z_{9}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{9} + y_{9} + z_{9}\right) \,\mathbf{\hat{z}}$ | (6f) | C VIII |
| $\mathbf{B_{51}}$ | = | $x_{10} \, \mathbf{a}_{1}+y_{10} \, \mathbf{a}_{2}+z_{10} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{10} - z_{10}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{10} - 2 y_{10} + z_{10}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{10} + y_{10} + z_{10}\right) \,\mathbf{\hat{z}}$ | (6f) | Cl I |
| $\mathbf{B_{52}}$ | = | $z_{10} \, \mathbf{a}_{1}+x_{10} \, \mathbf{a}_{2}+y_{10} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{10} - z_{10}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{10} - y_{10} - z_{10}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{10} + y_{10} + z_{10}\right) \,\mathbf{\hat{z}}$ | (6f) | Cl I |
| $\mathbf{B_{53}}$ | = | $y_{10} \, \mathbf{a}_{1}+z_{10} \, \mathbf{a}_{2}+x_{10} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{10} - y_{10}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{10} + y_{10} - 2 z_{10}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{10} + y_{10} + z_{10}\right) \,\mathbf{\hat{z}}$ | (6f) | Cl I |
| $\mathbf{B_{54}}$ | = | $- x_{10} \, \mathbf{a}_{1}- y_{10} \, \mathbf{a}_{2}- z_{10} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{10} - z_{10}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{10} - 2 y_{10} + z_{10}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{10} + y_{10} + z_{10}\right) \,\mathbf{\hat{z}}$ | (6f) | Cl I |
| $\mathbf{B_{55}}$ | = | $- z_{10} \, \mathbf{a}_{1}- x_{10} \, \mathbf{a}_{2}- y_{10} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{10} - z_{10}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{10} - y_{10} - z_{10}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{10} + y_{10} + z_{10}\right) \,\mathbf{\hat{z}}$ | (6f) | Cl I |
| $\mathbf{B_{56}}$ | = | $- y_{10} \, \mathbf{a}_{1}- z_{10} \, \mathbf{a}_{2}- x_{10} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{10} - y_{10}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{10} + y_{10} - 2 z_{10}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{10} + y_{10} + z_{10}\right) \,\mathbf{\hat{z}}$ | (6f) | Cl I |
| $\mathbf{B_{57}}$ | = | $x_{11} \, \mathbf{a}_{1}+y_{11} \, \mathbf{a}_{2}+z_{11} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{11} - z_{11}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{11} - 2 y_{11} + z_{11}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{11} + y_{11} + z_{11}\right) \,\mathbf{\hat{z}}$ | (6f) | H I |
| $\mathbf{B_{58}}$ | = | $z_{11} \, \mathbf{a}_{1}+x_{11} \, \mathbf{a}_{2}+y_{11} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{11} - z_{11}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{11} - y_{11} - z_{11}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{11} + y_{11} + z_{11}\right) \,\mathbf{\hat{z}}$ | (6f) | H I |
| $\mathbf{B_{59}}$ | = | $y_{11} \, \mathbf{a}_{1}+z_{11} \, \mathbf{a}_{2}+x_{11} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{11} - y_{11}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{11} + y_{11} - 2 z_{11}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{11} + y_{11} + z_{11}\right) \,\mathbf{\hat{z}}$ | (6f) | H I |
| $\mathbf{B_{60}}$ | = | $- x_{11} \, \mathbf{a}_{1}- y_{11} \, \mathbf{a}_{2}- z_{11} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{11} - z_{11}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{11} - 2 y_{11} + z_{11}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{11} + y_{11} + z_{11}\right) \,\mathbf{\hat{z}}$ | (6f) | H I |
| $\mathbf{B_{61}}$ | = | $- z_{11} \, \mathbf{a}_{1}- x_{11} \, \mathbf{a}_{2}- y_{11} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{11} - z_{11}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{11} - y_{11} - z_{11}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{11} + y_{11} + z_{11}\right) \,\mathbf{\hat{z}}$ | (6f) | H I |
| $\mathbf{B_{62}}$ | = | $- y_{11} \, \mathbf{a}_{1}- z_{11} \, \mathbf{a}_{2}- x_{11} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{11} - y_{11}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{11} + y_{11} - 2 z_{11}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{11} + y_{11} + z_{11}\right) \,\mathbf{\hat{z}}$ | (6f) | H I |
| $\mathbf{B_{63}}$ | = | $x_{12} \, \mathbf{a}_{1}+y_{12} \, \mathbf{a}_{2}+z_{12} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{12} - z_{12}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{12} - 2 y_{12} + z_{12}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{12} + y_{12} + z_{12}\right) \,\mathbf{\hat{z}}$ | (6f) | H II |
| $\mathbf{B_{64}}$ | = | $z_{12} \, \mathbf{a}_{1}+x_{12} \, \mathbf{a}_{2}+y_{12} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{12} - z_{12}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{12} - y_{12} - z_{12}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{12} + y_{12} + z_{12}\right) \,\mathbf{\hat{z}}$ | (6f) | H II |
| $\mathbf{B_{65}}$ | = | $y_{12} \, \mathbf{a}_{1}+z_{12} \, \mathbf{a}_{2}+x_{12} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{12} - y_{12}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{12} + y_{12} - 2 z_{12}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{12} + y_{12} + z_{12}\right) \,\mathbf{\hat{z}}$ | (6f) | H II |
| $\mathbf{B_{66}}$ | = | $- x_{12} \, \mathbf{a}_{1}- y_{12} \, \mathbf{a}_{2}- z_{12} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{12} - z_{12}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{12} - 2 y_{12} + z_{12}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{12} + y_{12} + z_{12}\right) \,\mathbf{\hat{z}}$ | (6f) | H II |
| $\mathbf{B_{67}}$ | = | $- z_{12} \, \mathbf{a}_{1}- x_{12} \, \mathbf{a}_{2}- y_{12} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{12} - z_{12}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{12} - y_{12} - z_{12}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{12} + y_{12} + z_{12}\right) \,\mathbf{\hat{z}}$ | (6f) | H II |
| $\mathbf{B_{68}}$ | = | $- y_{12} \, \mathbf{a}_{1}- z_{12} \, \mathbf{a}_{2}- x_{12} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{12} - y_{12}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{12} + y_{12} - 2 z_{12}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{12} + y_{12} + z_{12}\right) \,\mathbf{\hat{z}}$ | (6f) | H II |
| $\mathbf{B_{69}}$ | = | $x_{13} \, \mathbf{a}_{1}+y_{13} \, \mathbf{a}_{2}+z_{13} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{13} - z_{13}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{13} - 2 y_{13} + z_{13}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{13} + y_{13} + z_{13}\right) \,\mathbf{\hat{z}}$ | (6f) | H III |
| $\mathbf{B_{70}}$ | = | $z_{13} \, \mathbf{a}_{1}+x_{13} \, \mathbf{a}_{2}+y_{13} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{13} - z_{13}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{13} - y_{13} - z_{13}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{13} + y_{13} + z_{13}\right) \,\mathbf{\hat{z}}$ | (6f) | H III |
| $\mathbf{B_{71}}$ | = | $y_{13} \, \mathbf{a}_{1}+z_{13} \, \mathbf{a}_{2}+x_{13} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{13} - y_{13}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{13} + y_{13} - 2 z_{13}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{13} + y_{13} + z_{13}\right) \,\mathbf{\hat{z}}$ | (6f) | H III |
| $\mathbf{B_{72}}$ | = | $- x_{13} \, \mathbf{a}_{1}- y_{13} \, \mathbf{a}_{2}- z_{13} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{13} - z_{13}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{13} - 2 y_{13} + z_{13}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{13} + y_{13} + z_{13}\right) \,\mathbf{\hat{z}}$ | (6f) | H III |
| $\mathbf{B_{73}}$ | = | $- z_{13} \, \mathbf{a}_{1}- x_{13} \, \mathbf{a}_{2}- y_{13} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{13} - z_{13}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{13} - y_{13} - z_{13}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{13} + y_{13} + z_{13}\right) \,\mathbf{\hat{z}}$ | (6f) | H III |
| $\mathbf{B_{74}}$ | = | $- y_{13} \, \mathbf{a}_{1}- z_{13} \, \mathbf{a}_{2}- x_{13} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{13} - y_{13}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{13} + y_{13} - 2 z_{13}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{13} + y_{13} + z_{13}\right) \,\mathbf{\hat{z}}$ | (6f) | H III |
| $\mathbf{B_{75}}$ | = | $x_{14} \, \mathbf{a}_{1}+y_{14} \, \mathbf{a}_{2}+z_{14} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{14} - z_{14}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{14} - 2 y_{14} + z_{14}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{14} + y_{14} + z_{14}\right) \,\mathbf{\hat{z}}$ | (6f) | H IV |
| $\mathbf{B_{76}}$ | = | $z_{14} \, \mathbf{a}_{1}+x_{14} \, \mathbf{a}_{2}+y_{14} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{14} - z_{14}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{14} - y_{14} - z_{14}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{14} + y_{14} + z_{14}\right) \,\mathbf{\hat{z}}$ | (6f) | H IV |
| $\mathbf{B_{77}}$ | = | $y_{14} \, \mathbf{a}_{1}+z_{14} \, \mathbf{a}_{2}+x_{14} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{14} - y_{14}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{14} + y_{14} - 2 z_{14}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{14} + y_{14} + z_{14}\right) \,\mathbf{\hat{z}}$ | (6f) | H IV |
| $\mathbf{B_{78}}$ | = | $- x_{14} \, \mathbf{a}_{1}- y_{14} \, \mathbf{a}_{2}- z_{14} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{14} - z_{14}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{14} - 2 y_{14} + z_{14}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{14} + y_{14} + z_{14}\right) \,\mathbf{\hat{z}}$ | (6f) | H IV |
| $\mathbf{B_{79}}$ | = | $- z_{14} \, \mathbf{a}_{1}- x_{14} \, \mathbf{a}_{2}- y_{14} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{14} - z_{14}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{14} - y_{14} - z_{14}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{14} + y_{14} + z_{14}\right) \,\mathbf{\hat{z}}$ | (6f) | H IV |
| $\mathbf{B_{80}}$ | = | $- y_{14} \, \mathbf{a}_{1}- z_{14} \, \mathbf{a}_{2}- x_{14} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{14} - y_{14}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{14} + y_{14} - 2 z_{14}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{14} + y_{14} + z_{14}\right) \,\mathbf{\hat{z}}$ | (6f) | H IV |
| $\mathbf{B_{81}}$ | = | $x_{15} \, \mathbf{a}_{1}+y_{15} \, \mathbf{a}_{2}+z_{15} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{15} - z_{15}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{15} - 2 y_{15} + z_{15}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{15} + y_{15} + z_{15}\right) \,\mathbf{\hat{z}}$ | (6f) | H V |
| $\mathbf{B_{82}}$ | = | $z_{15} \, \mathbf{a}_{1}+x_{15} \, \mathbf{a}_{2}+y_{15} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{15} - z_{15}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{15} - y_{15} - z_{15}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{15} + y_{15} + z_{15}\right) \,\mathbf{\hat{z}}$ | (6f) | H V |
| $\mathbf{B_{83}}$ | = | $y_{15} \, \mathbf{a}_{1}+z_{15} \, \mathbf{a}_{2}+x_{15} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{15} - y_{15}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{15} + y_{15} - 2 z_{15}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{15} + y_{15} + z_{15}\right) \,\mathbf{\hat{z}}$ | (6f) | H V |
| $\mathbf{B_{84}}$ | = | $- x_{15} \, \mathbf{a}_{1}- y_{15} \, \mathbf{a}_{2}- z_{15} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{15} - z_{15}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{15} - 2 y_{15} + z_{15}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{15} + y_{15} + z_{15}\right) \,\mathbf{\hat{z}}$ | (6f) | H V |
| $\mathbf{B_{85}}$ | = | $- z_{15} \, \mathbf{a}_{1}- x_{15} \, \mathbf{a}_{2}- y_{15} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{15} - z_{15}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{15} - y_{15} - z_{15}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{15} + y_{15} + z_{15}\right) \,\mathbf{\hat{z}}$ | (6f) | H V |
| $\mathbf{B_{86}}$ | = | $- y_{15} \, \mathbf{a}_{1}- z_{15} \, \mathbf{a}_{2}- x_{15} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{15} - y_{15}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{15} + y_{15} - 2 z_{15}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{15} + y_{15} + z_{15}\right) \,\mathbf{\hat{z}}$ | (6f) | H V |
| $\mathbf{B_{87}}$ | = | $x_{16} \, \mathbf{a}_{1}+y_{16} \, \mathbf{a}_{2}+z_{16} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{16} - z_{16}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{16} - 2 y_{16} + z_{16}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{16} + y_{16} + z_{16}\right) \,\mathbf{\hat{z}}$ | (6f) | H VI |
| $\mathbf{B_{88}}$ | = | $z_{16} \, \mathbf{a}_{1}+x_{16} \, \mathbf{a}_{2}+y_{16} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{16} - z_{16}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{16} - y_{16} - z_{16}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{16} + y_{16} + z_{16}\right) \,\mathbf{\hat{z}}$ | (6f) | H VI |
| $\mathbf{B_{89}}$ | = | $y_{16} \, \mathbf{a}_{1}+z_{16} \, \mathbf{a}_{2}+x_{16} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{16} - y_{16}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{16} + y_{16} - 2 z_{16}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{16} + y_{16} + z_{16}\right) \,\mathbf{\hat{z}}$ | (6f) | H VI |
| $\mathbf{B_{90}}$ | = | $- x_{16} \, \mathbf{a}_{1}- y_{16} \, \mathbf{a}_{2}- z_{16} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{16} - z_{16}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{16} - 2 y_{16} + z_{16}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{16} + y_{16} + z_{16}\right) \,\mathbf{\hat{z}}$ | (6f) | H VI |
| $\mathbf{B_{91}}$ | = | $- z_{16} \, \mathbf{a}_{1}- x_{16} \, \mathbf{a}_{2}- y_{16} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{16} - z_{16}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{16} - y_{16} - z_{16}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{16} + y_{16} + z_{16}\right) \,\mathbf{\hat{z}}$ | (6f) | H VI |
| $\mathbf{B_{92}}$ | = | $- y_{16} \, \mathbf{a}_{1}- z_{16} \, \mathbf{a}_{2}- x_{16} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{16} - y_{16}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{16} + y_{16} - 2 z_{16}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{16} + y_{16} + z_{16}\right) \,\mathbf{\hat{z}}$ | (6f) | H VI |
| $\mathbf{B_{93}}$ | = | $x_{17} \, \mathbf{a}_{1}+y_{17} \, \mathbf{a}_{2}+z_{17} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{17} - z_{17}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{17} - 2 y_{17} + z_{17}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{17} + y_{17} + z_{17}\right) \,\mathbf{\hat{z}}$ | (6f) | H VII |
| $\mathbf{B_{94}}$ | = | $z_{17} \, \mathbf{a}_{1}+x_{17} \, \mathbf{a}_{2}+y_{17} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{17} - z_{17}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{17} - y_{17} - z_{17}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{17} + y_{17} + z_{17}\right) \,\mathbf{\hat{z}}$ | (6f) | H VII |
| $\mathbf{B_{95}}$ | = | $y_{17} \, \mathbf{a}_{1}+z_{17} \, \mathbf{a}_{2}+x_{17} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{17} - y_{17}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{17} + y_{17} - 2 z_{17}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{17} + y_{17} + z_{17}\right) \,\mathbf{\hat{z}}$ | (6f) | H VII |
| $\mathbf{B_{96}}$ | = | $- x_{17} \, \mathbf{a}_{1}- y_{17} \, \mathbf{a}_{2}- z_{17} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{17} - z_{17}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{17} - 2 y_{17} + z_{17}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{17} + y_{17} + z_{17}\right) \,\mathbf{\hat{z}}$ | (6f) | H VII |
| $\mathbf{B_{97}}$ | = | $- z_{17} \, \mathbf{a}_{1}- x_{17} \, \mathbf{a}_{2}- y_{17} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{17} - z_{17}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{17} - y_{17} - z_{17}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{17} + y_{17} + z_{17}\right) \,\mathbf{\hat{z}}$ | (6f) | H VII |
| $\mathbf{B_{98}}$ | = | $- y_{17} \, \mathbf{a}_{1}- z_{17} \, \mathbf{a}_{2}- x_{17} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{17} - y_{17}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{17} + y_{17} - 2 z_{17}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{17} + y_{17} + z_{17}\right) \,\mathbf{\hat{z}}$ | (6f) | H VII |
| $\mathbf{B_{99}}$ | = | $x_{18} \, \mathbf{a}_{1}+y_{18} \, \mathbf{a}_{2}+z_{18} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{18} - z_{18}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{18} - 2 y_{18} + z_{18}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{18} + y_{18} + z_{18}\right) \,\mathbf{\hat{z}}$ | (6f) | H VIII |
| $\mathbf{B_{100}}$ | = | $z_{18} \, \mathbf{a}_{1}+x_{18} \, \mathbf{a}_{2}+y_{18} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{18} - z_{18}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{18} - y_{18} - z_{18}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{18} + y_{18} + z_{18}\right) \,\mathbf{\hat{z}}$ | (6f) | H VIII |
| $\mathbf{B_{101}}$ | = | $y_{18} \, \mathbf{a}_{1}+z_{18} \, \mathbf{a}_{2}+x_{18} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{18} - y_{18}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{18} + y_{18} - 2 z_{18}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{18} + y_{18} + z_{18}\right) \,\mathbf{\hat{z}}$ | (6f) | H VIII |
| $\mathbf{B_{102}}$ | = | $- x_{18} \, \mathbf{a}_{1}- y_{18} \, \mathbf{a}_{2}- z_{18} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{18} - z_{18}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{18} - 2 y_{18} + z_{18}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{18} + y_{18} + z_{18}\right) \,\mathbf{\hat{z}}$ | (6f) | H VIII |
| $\mathbf{B_{103}}$ | = | $- z_{18} \, \mathbf{a}_{1}- x_{18} \, \mathbf{a}_{2}- y_{18} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{18} - z_{18}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{18} - y_{18} - z_{18}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{18} + y_{18} + z_{18}\right) \,\mathbf{\hat{z}}$ | (6f) | H VIII |
| $\mathbf{B_{104}}$ | = | $- y_{18} \, \mathbf{a}_{1}- z_{18} \, \mathbf{a}_{2}- x_{18} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{18} - y_{18}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{18} + y_{18} - 2 z_{18}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{18} + y_{18} + z_{18}\right) \,\mathbf{\hat{z}}$ | (6f) | H VIII |
| $\mathbf{B_{105}}$ | = | $x_{19} \, \mathbf{a}_{1}+y_{19} \, \mathbf{a}_{2}+z_{19} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{19} - z_{19}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{19} - 2 y_{19} + z_{19}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{19} + y_{19} + z_{19}\right) \,\mathbf{\hat{z}}$ | (6f) | H IX |
| $\mathbf{B_{106}}$ | = | $z_{19} \, \mathbf{a}_{1}+x_{19} \, \mathbf{a}_{2}+y_{19} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{19} - z_{19}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{19} - y_{19} - z_{19}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{19} + y_{19} + z_{19}\right) \,\mathbf{\hat{z}}$ | (6f) | H IX |
| $\mathbf{B_{107}}$ | = | $y_{19} \, \mathbf{a}_{1}+z_{19} \, \mathbf{a}_{2}+x_{19} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{19} - y_{19}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{19} + y_{19} - 2 z_{19}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{19} + y_{19} + z_{19}\right) \,\mathbf{\hat{z}}$ | (6f) | H IX |
| $\mathbf{B_{108}}$ | = | $- x_{19} \, \mathbf{a}_{1}- y_{19} \, \mathbf{a}_{2}- z_{19} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{19} - z_{19}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{19} - 2 y_{19} + z_{19}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{19} + y_{19} + z_{19}\right) \,\mathbf{\hat{z}}$ | (6f) | H IX |
| $\mathbf{B_{109}}$ | = | $- z_{19} \, \mathbf{a}_{1}- x_{19} \, \mathbf{a}_{2}- y_{19} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{19} - z_{19}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{19} - y_{19} - z_{19}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{19} + y_{19} + z_{19}\right) \,\mathbf{\hat{z}}$ | (6f) | H IX |
| $\mathbf{B_{110}}$ | = | $- y_{19} \, \mathbf{a}_{1}- z_{19} \, \mathbf{a}_{2}- x_{19} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{19} - y_{19}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{19} + y_{19} - 2 z_{19}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{19} + y_{19} + z_{19}\right) \,\mathbf{\hat{z}}$ | (6f) | H IX |
| $\mathbf{B_{111}}$ | = | $x_{20} \, \mathbf{a}_{1}+y_{20} \, \mathbf{a}_{2}+z_{20} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{20} - z_{20}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{20} - 2 y_{20} + z_{20}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{20} + y_{20} + z_{20}\right) \,\mathbf{\hat{z}}$ | (6f) | H X |
| $\mathbf{B_{112}}$ | = | $z_{20} \, \mathbf{a}_{1}+x_{20} \, \mathbf{a}_{2}+y_{20} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{20} - z_{20}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{20} - y_{20} - z_{20}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{20} + y_{20} + z_{20}\right) \,\mathbf{\hat{z}}$ | (6f) | H X |
| $\mathbf{B_{113}}$ | = | $y_{20} \, \mathbf{a}_{1}+z_{20} \, \mathbf{a}_{2}+x_{20} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{20} - y_{20}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{20} + y_{20} - 2 z_{20}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{20} + y_{20} + z_{20}\right) \,\mathbf{\hat{z}}$ | (6f) | H X |
| $\mathbf{B_{114}}$ | = | $- x_{20} \, \mathbf{a}_{1}- y_{20} \, \mathbf{a}_{2}- z_{20} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{20} - z_{20}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{20} - 2 y_{20} + z_{20}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{20} + y_{20} + z_{20}\right) \,\mathbf{\hat{z}}$ | (6f) | H X |
| $\mathbf{B_{115}}$ | = | $- z_{20} \, \mathbf{a}_{1}- x_{20} \, \mathbf{a}_{2}- y_{20} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{20} - z_{20}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{20} - y_{20} - z_{20}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{20} + y_{20} + z_{20}\right) \,\mathbf{\hat{z}}$ | (6f) | H X |
| $\mathbf{B_{116}}$ | = | $- y_{20} \, \mathbf{a}_{1}- z_{20} \, \mathbf{a}_{2}- x_{20} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{20} - y_{20}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{20} + y_{20} - 2 z_{20}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{20} + y_{20} + z_{20}\right) \,\mathbf{\hat{z}}$ | (6f) | H X |
| $\mathbf{B_{117}}$ | = | $x_{21} \, \mathbf{a}_{1}+y_{21} \, \mathbf{a}_{2}+z_{21} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{21} - z_{21}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{21} - 2 y_{21} + z_{21}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{21} + y_{21} + z_{21}\right) \,\mathbf{\hat{z}}$ | (6f) | H XI |
| $\mathbf{B_{118}}$ | = | $z_{21} \, \mathbf{a}_{1}+x_{21} \, \mathbf{a}_{2}+y_{21} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{21} - z_{21}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{21} - y_{21} - z_{21}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{21} + y_{21} + z_{21}\right) \,\mathbf{\hat{z}}$ | (6f) | H XI |
| $\mathbf{B_{119}}$ | = | $y_{21} \, \mathbf{a}_{1}+z_{21} \, \mathbf{a}_{2}+x_{21} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{21} - y_{21}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{21} + y_{21} - 2 z_{21}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{21} + y_{21} + z_{21}\right) \,\mathbf{\hat{z}}$ | (6f) | H XI |
| $\mathbf{B_{120}}$ | = | $- x_{21} \, \mathbf{a}_{1}- y_{21} \, \mathbf{a}_{2}- z_{21} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{21} - z_{21}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{21} - 2 y_{21} + z_{21}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{21} + y_{21} + z_{21}\right) \,\mathbf{\hat{z}}$ | (6f) | H XI |
| $\mathbf{B_{121}}$ | = | $- z_{21} \, \mathbf{a}_{1}- x_{21} \, \mathbf{a}_{2}- y_{21} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{21} - z_{21}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{21} - y_{21} - z_{21}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{21} + y_{21} + z_{21}\right) \,\mathbf{\hat{z}}$ | (6f) | H XI |
| $\mathbf{B_{122}}$ | = | $- y_{21} \, \mathbf{a}_{1}- z_{21} \, \mathbf{a}_{2}- x_{21} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{21} - y_{21}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{21} + y_{21} - 2 z_{21}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{21} + y_{21} + z_{21}\right) \,\mathbf{\hat{z}}$ | (6f) | H XI |
| $\mathbf{B_{123}}$ | = | $x_{22} \, \mathbf{a}_{1}+y_{22} \, \mathbf{a}_{2}+z_{22} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{22} - z_{22}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{22} - 2 y_{22} + z_{22}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{22} + y_{22} + z_{22}\right) \,\mathbf{\hat{z}}$ | (6f) | H XII |
| $\mathbf{B_{124}}$ | = | $z_{22} \, \mathbf{a}_{1}+x_{22} \, \mathbf{a}_{2}+y_{22} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{22} - z_{22}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{22} - y_{22} - z_{22}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{22} + y_{22} + z_{22}\right) \,\mathbf{\hat{z}}$ | (6f) | H XII |
| $\mathbf{B_{125}}$ | = | $y_{22} \, \mathbf{a}_{1}+z_{22} \, \mathbf{a}_{2}+x_{22} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{22} - y_{22}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{22} + y_{22} - 2 z_{22}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{22} + y_{22} + z_{22}\right) \,\mathbf{\hat{z}}$ | (6f) | H XII |
| $\mathbf{B_{126}}$ | = | $- x_{22} \, \mathbf{a}_{1}- y_{22} \, \mathbf{a}_{2}- z_{22} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{22} - z_{22}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{22} - 2 y_{22} + z_{22}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{22} + y_{22} + z_{22}\right) \,\mathbf{\hat{z}}$ | (6f) | H XII |
| $\mathbf{B_{127}}$ | = | $- z_{22} \, \mathbf{a}_{1}- x_{22} \, \mathbf{a}_{2}- y_{22} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{22} - z_{22}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{22} - y_{22} - z_{22}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{22} + y_{22} + z_{22}\right) \,\mathbf{\hat{z}}$ | (6f) | H XII |
| $\mathbf{B_{128}}$ | = | $- y_{22} \, \mathbf{a}_{1}- z_{22} \, \mathbf{a}_{2}- x_{22} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{22} - y_{22}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{22} + y_{22} - 2 z_{22}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{22} + y_{22} + z_{22}\right) \,\mathbf{\hat{z}}$ | (6f) | H XII |
| $\mathbf{B_{129}}$ | = | $x_{23} \, \mathbf{a}_{1}+y_{23} \, \mathbf{a}_{2}+z_{23} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{23} - z_{23}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{23} - 2 y_{23} + z_{23}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{23} + y_{23} + z_{23}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIII |
| $\mathbf{B_{130}}$ | = | $z_{23} \, \mathbf{a}_{1}+x_{23} \, \mathbf{a}_{2}+y_{23} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{23} - z_{23}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{23} - y_{23} - z_{23}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{23} + y_{23} + z_{23}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIII |
| $\mathbf{B_{131}}$ | = | $y_{23} \, \mathbf{a}_{1}+z_{23} \, \mathbf{a}_{2}+x_{23} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{23} - y_{23}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{23} + y_{23} - 2 z_{23}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{23} + y_{23} + z_{23}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIII |
| $\mathbf{B_{132}}$ | = | $- x_{23} \, \mathbf{a}_{1}- y_{23} \, \mathbf{a}_{2}- z_{23} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{23} - z_{23}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{23} - 2 y_{23} + z_{23}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{23} + y_{23} + z_{23}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIII |
| $\mathbf{B_{133}}$ | = | $- z_{23} \, \mathbf{a}_{1}- x_{23} \, \mathbf{a}_{2}- y_{23} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{23} - z_{23}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{23} - y_{23} - z_{23}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{23} + y_{23} + z_{23}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIII |
| $\mathbf{B_{134}}$ | = | $- y_{23} \, \mathbf{a}_{1}- z_{23} \, \mathbf{a}_{2}- x_{23} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{23} - y_{23}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{23} + y_{23} - 2 z_{23}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{23} + y_{23} + z_{23}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIII |
| $\mathbf{B_{135}}$ | = | $x_{24} \, \mathbf{a}_{1}+y_{24} \, \mathbf{a}_{2}+z_{24} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{24} - z_{24}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{24} - 2 y_{24} + z_{24}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{24} + y_{24} + z_{24}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIV |
| $\mathbf{B_{136}}$ | = | $z_{24} \, \mathbf{a}_{1}+x_{24} \, \mathbf{a}_{2}+y_{24} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{24} - z_{24}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{24} - y_{24} - z_{24}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{24} + y_{24} + z_{24}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIV |
| $\mathbf{B_{137}}$ | = | $y_{24} \, \mathbf{a}_{1}+z_{24} \, \mathbf{a}_{2}+x_{24} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{24} - y_{24}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{24} + y_{24} - 2 z_{24}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{24} + y_{24} + z_{24}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIV |
| $\mathbf{B_{138}}$ | = | $- x_{24} \, \mathbf{a}_{1}- y_{24} \, \mathbf{a}_{2}- z_{24} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{24} - z_{24}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{24} - 2 y_{24} + z_{24}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{24} + y_{24} + z_{24}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIV |
| $\mathbf{B_{139}}$ | = | $- z_{24} \, \mathbf{a}_{1}- x_{24} \, \mathbf{a}_{2}- y_{24} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{24} - z_{24}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{24} - y_{24} - z_{24}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{24} + y_{24} + z_{24}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIV |
| $\mathbf{B_{140}}$ | = | $- y_{24} \, \mathbf{a}_{1}- z_{24} \, \mathbf{a}_{2}- x_{24} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{24} - y_{24}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{24} + y_{24} - 2 z_{24}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{24} + y_{24} + z_{24}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIV |
| $\mathbf{B_{141}}$ | = | $x_{25} \, \mathbf{a}_{1}+y_{25} \, \mathbf{a}_{2}+z_{25} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{25} - z_{25}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{25} - 2 y_{25} + z_{25}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{25} + y_{25} + z_{25}\right) \,\mathbf{\hat{z}}$ | (6f) | H XV |
| $\mathbf{B_{142}}$ | = | $z_{25} \, \mathbf{a}_{1}+x_{25} \, \mathbf{a}_{2}+y_{25} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{25} - z_{25}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{25} - y_{25} - z_{25}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{25} + y_{25} + z_{25}\right) \,\mathbf{\hat{z}}$ | (6f) | H XV |
| $\mathbf{B_{143}}$ | = | $y_{25} \, \mathbf{a}_{1}+z_{25} \, \mathbf{a}_{2}+x_{25} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{25} - y_{25}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{25} + y_{25} - 2 z_{25}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{25} + y_{25} + z_{25}\right) \,\mathbf{\hat{z}}$ | (6f) | H XV |
| $\mathbf{B_{144}}$ | = | $- x_{25} \, \mathbf{a}_{1}- y_{25} \, \mathbf{a}_{2}- z_{25} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{25} - z_{25}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{25} - 2 y_{25} + z_{25}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{25} + y_{25} + z_{25}\right) \,\mathbf{\hat{z}}$ | (6f) | H XV |
| $\mathbf{B_{145}}$ | = | $- z_{25} \, \mathbf{a}_{1}- x_{25} \, \mathbf{a}_{2}- y_{25} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{25} - z_{25}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{25} - y_{25} - z_{25}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{25} + y_{25} + z_{25}\right) \,\mathbf{\hat{z}}$ | (6f) | H XV |
| $\mathbf{B_{146}}$ | = | $- y_{25} \, \mathbf{a}_{1}- z_{25} \, \mathbf{a}_{2}- x_{25} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{25} - y_{25}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{25} + y_{25} - 2 z_{25}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{25} + y_{25} + z_{25}\right) \,\mathbf{\hat{z}}$ | (6f) | H XV |
| $\mathbf{B_{147}}$ | = | $x_{26} \, \mathbf{a}_{1}+y_{26} \, \mathbf{a}_{2}+z_{26} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{26} - z_{26}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{26} - 2 y_{26} + z_{26}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{26} + y_{26} + z_{26}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVI |
| $\mathbf{B_{148}}$ | = | $z_{26} \, \mathbf{a}_{1}+x_{26} \, \mathbf{a}_{2}+y_{26} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{26} - z_{26}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{26} - y_{26} - z_{26}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{26} + y_{26} + z_{26}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVI |
| $\mathbf{B_{149}}$ | = | $y_{26} \, \mathbf{a}_{1}+z_{26} \, \mathbf{a}_{2}+x_{26} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{26} - y_{26}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{26} + y_{26} - 2 z_{26}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{26} + y_{26} + z_{26}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVI |
| $\mathbf{B_{150}}$ | = | $- x_{26} \, \mathbf{a}_{1}- y_{26} \, \mathbf{a}_{2}- z_{26} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{26} - z_{26}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{26} - 2 y_{26} + z_{26}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{26} + y_{26} + z_{26}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVI |
| $\mathbf{B_{151}}$ | = | $- z_{26} \, \mathbf{a}_{1}- x_{26} \, \mathbf{a}_{2}- y_{26} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{26} - z_{26}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{26} - y_{26} - z_{26}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{26} + y_{26} + z_{26}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVI |
| $\mathbf{B_{152}}$ | = | $- y_{26} \, \mathbf{a}_{1}- z_{26} \, \mathbf{a}_{2}- x_{26} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{26} - y_{26}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{26} + y_{26} - 2 z_{26}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{26} + y_{26} + z_{26}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVI |
| $\mathbf{B_{153}}$ | = | $x_{27} \, \mathbf{a}_{1}+y_{27} \, \mathbf{a}_{2}+z_{27} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{27} - z_{27}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{27} - 2 y_{27} + z_{27}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{27} + y_{27} + z_{27}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVII |
| $\mathbf{B_{154}}$ | = | $z_{27} \, \mathbf{a}_{1}+x_{27} \, \mathbf{a}_{2}+y_{27} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{27} - z_{27}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{27} - y_{27} - z_{27}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{27} + y_{27} + z_{27}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVII |
| $\mathbf{B_{155}}$ | = | $y_{27} \, \mathbf{a}_{1}+z_{27} \, \mathbf{a}_{2}+x_{27} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{27} - y_{27}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{27} + y_{27} - 2 z_{27}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{27} + y_{27} + z_{27}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVII |
| $\mathbf{B_{156}}$ | = | $- x_{27} \, \mathbf{a}_{1}- y_{27} \, \mathbf{a}_{2}- z_{27} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{27} - z_{27}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{27} - 2 y_{27} + z_{27}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{27} + y_{27} + z_{27}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVII |
| $\mathbf{B_{157}}$ | = | $- z_{27} \, \mathbf{a}_{1}- x_{27} \, \mathbf{a}_{2}- y_{27} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{27} - z_{27}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{27} - y_{27} - z_{27}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{27} + y_{27} + z_{27}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVII |
| $\mathbf{B_{158}}$ | = | $- y_{27} \, \mathbf{a}_{1}- z_{27} \, \mathbf{a}_{2}- x_{27} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{27} - y_{27}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{27} + y_{27} - 2 z_{27}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{27} + y_{27} + z_{27}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVII |
| $\mathbf{B_{159}}$ | = | $x_{28} \, \mathbf{a}_{1}+y_{28} \, \mathbf{a}_{2}+z_{28} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{28} - z_{28}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{28} - 2 y_{28} + z_{28}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{28} + y_{28} + z_{28}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVIII |
| $\mathbf{B_{160}}$ | = | $z_{28} \, \mathbf{a}_{1}+x_{28} \, \mathbf{a}_{2}+y_{28} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{28} - z_{28}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{28} - y_{28} - z_{28}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{28} + y_{28} + z_{28}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVIII |
| $\mathbf{B_{161}}$ | = | $y_{28} \, \mathbf{a}_{1}+z_{28} \, \mathbf{a}_{2}+x_{28} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{28} - y_{28}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{28} + y_{28} - 2 z_{28}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{28} + y_{28} + z_{28}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVIII |
| $\mathbf{B_{162}}$ | = | $- x_{28} \, \mathbf{a}_{1}- y_{28} \, \mathbf{a}_{2}- z_{28} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{28} - z_{28}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{28} - 2 y_{28} + z_{28}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{28} + y_{28} + z_{28}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVIII |
| $\mathbf{B_{163}}$ | = | $- z_{28} \, \mathbf{a}_{1}- x_{28} \, \mathbf{a}_{2}- y_{28} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{28} - z_{28}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{28} - y_{28} - z_{28}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{28} + y_{28} + z_{28}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVIII |
| $\mathbf{B_{164}}$ | = | $- y_{28} \, \mathbf{a}_{1}- z_{28} \, \mathbf{a}_{2}- x_{28} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{28} - y_{28}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{28} + y_{28} - 2 z_{28}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{28} + y_{28} + z_{28}\right) \,\mathbf{\hat{z}}$ | (6f) | H XVIII |
| $\mathbf{B_{165}}$ | = | $x_{29} \, \mathbf{a}_{1}+y_{29} \, \mathbf{a}_{2}+z_{29} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{29} - z_{29}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{29} - 2 y_{29} + z_{29}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{29} + y_{29} + z_{29}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIX |
| $\mathbf{B_{166}}$ | = | $z_{29} \, \mathbf{a}_{1}+x_{29} \, \mathbf{a}_{2}+y_{29} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{29} - z_{29}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{29} - y_{29} - z_{29}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{29} + y_{29} + z_{29}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIX |
| $\mathbf{B_{167}}$ | = | $y_{29} \, \mathbf{a}_{1}+z_{29} \, \mathbf{a}_{2}+x_{29} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{29} - y_{29}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{29} + y_{29} - 2 z_{29}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{29} + y_{29} + z_{29}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIX |
| $\mathbf{B_{168}}$ | = | $- x_{29} \, \mathbf{a}_{1}- y_{29} \, \mathbf{a}_{2}- z_{29} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{29} - z_{29}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{29} - 2 y_{29} + z_{29}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{29} + y_{29} + z_{29}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIX |
| $\mathbf{B_{169}}$ | = | $- z_{29} \, \mathbf{a}_{1}- x_{29} \, \mathbf{a}_{2}- y_{29} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{29} - z_{29}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{29} - y_{29} - z_{29}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{29} + y_{29} + z_{29}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIX |
| $\mathbf{B_{170}}$ | = | $- y_{29} \, \mathbf{a}_{1}- z_{29} \, \mathbf{a}_{2}- x_{29} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{29} - y_{29}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{29} + y_{29} - 2 z_{29}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{29} + y_{29} + z_{29}\right) \,\mathbf{\hat{z}}$ | (6f) | H XIX |
| $\mathbf{B_{171}}$ | = | $x_{30} \, \mathbf{a}_{1}+y_{30} \, \mathbf{a}_{2}+z_{30} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{30} - z_{30}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{30} - 2 y_{30} + z_{30}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{30} + y_{30} + z_{30}\right) \,\mathbf{\hat{z}}$ | (6f) | H XX |
| $\mathbf{B_{172}}$ | = | $z_{30} \, \mathbf{a}_{1}+x_{30} \, \mathbf{a}_{2}+y_{30} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{30} - z_{30}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{30} - y_{30} - z_{30}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{30} + y_{30} + z_{30}\right) \,\mathbf{\hat{z}}$ | (6f) | H XX |
| $\mathbf{B_{173}}$ | = | $y_{30} \, \mathbf{a}_{1}+z_{30} \, \mathbf{a}_{2}+x_{30} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{30} - y_{30}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{30} + y_{30} - 2 z_{30}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{30} + y_{30} + z_{30}\right) \,\mathbf{\hat{z}}$ | (6f) | H XX |
| $\mathbf{B_{174}}$ | = | $- x_{30} \, \mathbf{a}_{1}- y_{30} \, \mathbf{a}_{2}- z_{30} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{30} - z_{30}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{30} - 2 y_{30} + z_{30}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{30} + y_{30} + z_{30}\right) \,\mathbf{\hat{z}}$ | (6f) | H XX |
| $\mathbf{B_{175}}$ | = | $- z_{30} \, \mathbf{a}_{1}- x_{30} \, \mathbf{a}_{2}- y_{30} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{30} - z_{30}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{30} - y_{30} - z_{30}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{30} + y_{30} + z_{30}\right) \,\mathbf{\hat{z}}$ | (6f) | H XX |
| $\mathbf{B_{176}}$ | = | $- y_{30} \, \mathbf{a}_{1}- z_{30} \, \mathbf{a}_{2}- x_{30} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{30} - y_{30}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{30} + y_{30} - 2 z_{30}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{30} + y_{30} + z_{30}\right) \,\mathbf{\hat{z}}$ | (6f) | H XX |
| $\mathbf{B_{177}}$ | = | $x_{31} \, \mathbf{a}_{1}+y_{31} \, \mathbf{a}_{2}+z_{31} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{31} - z_{31}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{31} - 2 y_{31} + z_{31}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{31} + y_{31} + z_{31}\right) \,\mathbf{\hat{z}}$ | (6f) | H XXI |
| $\mathbf{B_{178}}$ | = | $z_{31} \, \mathbf{a}_{1}+x_{31} \, \mathbf{a}_{2}+y_{31} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{31} - z_{31}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{31} - y_{31} - z_{31}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{31} + y_{31} + z_{31}\right) \,\mathbf{\hat{z}}$ | (6f) | H XXI |
| $\mathbf{B_{179}}$ | = | $y_{31} \, \mathbf{a}_{1}+z_{31} \, \mathbf{a}_{2}+x_{31} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{31} - y_{31}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{31} + y_{31} - 2 z_{31}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{31} + y_{31} + z_{31}\right) \,\mathbf{\hat{z}}$ | (6f) | H XXI |
| $\mathbf{B_{180}}$ | = | $- x_{31} \, \mathbf{a}_{1}- y_{31} \, \mathbf{a}_{2}- z_{31} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{31} - z_{31}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{31} - 2 y_{31} + z_{31}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{31} + y_{31} + z_{31}\right) \,\mathbf{\hat{z}}$ | (6f) | H XXI |
| $\mathbf{B_{181}}$ | = | $- z_{31} \, \mathbf{a}_{1}- x_{31} \, \mathbf{a}_{2}- y_{31} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{31} - z_{31}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{31} - y_{31} - z_{31}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{31} + y_{31} + z_{31}\right) \,\mathbf{\hat{z}}$ | (6f) | H XXI |
| $\mathbf{B_{182}}$ | = | $- y_{31} \, \mathbf{a}_{1}- z_{31} \, \mathbf{a}_{2}- x_{31} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{31} - y_{31}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{31} + y_{31} - 2 z_{31}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{31} + y_{31} + z_{31}\right) \,\mathbf{\hat{z}}$ | (6f) | H XXI |
| $\mathbf{B_{183}}$ | = | $x_{32} \, \mathbf{a}_{1}+y_{32} \, \mathbf{a}_{2}+z_{32} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{32} - z_{32}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{32} - 2 y_{32} + z_{32}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{32} + y_{32} + z_{32}\right) \,\mathbf{\hat{z}}$ | (6f) | H XXII |
| $\mathbf{B_{184}}$ | = | $z_{32} \, \mathbf{a}_{1}+x_{32} \, \mathbf{a}_{2}+y_{32} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{32} - z_{32}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{32} - y_{32} - z_{32}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{32} + y_{32} + z_{32}\right) \,\mathbf{\hat{z}}$ | (6f) | H XXII |
| $\mathbf{B_{185}}$ | = | $y_{32} \, \mathbf{a}_{1}+z_{32} \, \mathbf{a}_{2}+x_{32} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{32} - y_{32}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{32} + y_{32} - 2 z_{32}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{32} + y_{32} + z_{32}\right) \,\mathbf{\hat{z}}$ | (6f) | H XXII |
| $\mathbf{B_{186}}$ | = | $- x_{32} \, \mathbf{a}_{1}- y_{32} \, \mathbf{a}_{2}- z_{32} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{32} - z_{32}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{32} - 2 y_{32} + z_{32}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{32} + y_{32} + z_{32}\right) \,\mathbf{\hat{z}}$ | (6f) | H XXII |
| $\mathbf{B_{187}}$ | = | $- z_{32} \, \mathbf{a}_{1}- x_{32} \, \mathbf{a}_{2}- y_{32} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{32} - z_{32}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{32} - y_{32} - z_{32}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{32} + y_{32} + z_{32}\right) \,\mathbf{\hat{z}}$ | (6f) | H XXII |
| $\mathbf{B_{188}}$ | = | $- y_{32} \, \mathbf{a}_{1}- z_{32} \, \mathbf{a}_{2}- x_{32} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{32} - y_{32}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{32} + y_{32} - 2 z_{32}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{32} + y_{32} + z_{32}\right) \,\mathbf{\hat{z}}$ | (6f) | H XXII |
| $\mathbf{B_{189}}$ | = | $x_{33} \, \mathbf{a}_{1}+y_{33} \, \mathbf{a}_{2}+z_{33} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{33} - z_{33}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{33} - 2 y_{33} + z_{33}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{33} + y_{33} + z_{33}\right) \,\mathbf{\hat{z}}$ | (6f) | Si I |
| $\mathbf{B_{190}}$ | = | $z_{33} \, \mathbf{a}_{1}+x_{33} \, \mathbf{a}_{2}+y_{33} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{33} - z_{33}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{33} - y_{33} - z_{33}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{33} + y_{33} + z_{33}\right) \,\mathbf{\hat{z}}$ | (6f) | Si I |
| $\mathbf{B_{191}}$ | = | $y_{33} \, \mathbf{a}_{1}+z_{33} \, \mathbf{a}_{2}+x_{33} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{33} - y_{33}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{33} + y_{33} - 2 z_{33}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{33} + y_{33} + z_{33}\right) \,\mathbf{\hat{z}}$ | (6f) | Si I |
| $\mathbf{B_{192}}$ | = | $- x_{33} \, \mathbf{a}_{1}- y_{33} \, \mathbf{a}_{2}- z_{33} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{33} - z_{33}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{33} - 2 y_{33} + z_{33}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{33} + y_{33} + z_{33}\right) \,\mathbf{\hat{z}}$ | (6f) | Si I |
| $\mathbf{B_{193}}$ | = | $- z_{33} \, \mathbf{a}_{1}- x_{33} \, \mathbf{a}_{2}- y_{33} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{33} - z_{33}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{33} - y_{33} - z_{33}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{33} + y_{33} + z_{33}\right) \,\mathbf{\hat{z}}$ | (6f) | Si I |
| $\mathbf{B_{194}}$ | = | $- y_{33} \, \mathbf{a}_{1}- z_{33} \, \mathbf{a}_{2}- x_{33} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{33} - y_{33}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{33} + y_{33} - 2 z_{33}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{33} + y_{33} + z_{33}\right) \,\mathbf{\hat{z}}$ | (6f) | Si I |
| $\mathbf{B_{195}}$ | = | $x_{34} \, \mathbf{a}_{1}+y_{34} \, \mathbf{a}_{2}+z_{34} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{34} - z_{34}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{34} - 2 y_{34} + z_{34}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{34} + y_{34} + z_{34}\right) \,\mathbf{\hat{z}}$ | (6f) | Si II |
| $\mathbf{B_{196}}$ | = | $z_{34} \, \mathbf{a}_{1}+x_{34} \, \mathbf{a}_{2}+y_{34} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{34} - z_{34}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{34} - y_{34} - z_{34}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{34} + y_{34} + z_{34}\right) \,\mathbf{\hat{z}}$ | (6f) | Si II |
| $\mathbf{B_{197}}$ | = | $y_{34} \, \mathbf{a}_{1}+z_{34} \, \mathbf{a}_{2}+x_{34} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{34} - y_{34}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{34} + y_{34} - 2 z_{34}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{34} + y_{34} + z_{34}\right) \,\mathbf{\hat{z}}$ | (6f) | Si II |
| $\mathbf{B_{198}}$ | = | $- x_{34} \, \mathbf{a}_{1}- y_{34} \, \mathbf{a}_{2}- z_{34} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{34} - z_{34}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{34} - 2 y_{34} + z_{34}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{34} + y_{34} + z_{34}\right) \,\mathbf{\hat{z}}$ | (6f) | Si II |
| $\mathbf{B_{199}}$ | = | $- z_{34} \, \mathbf{a}_{1}- x_{34} \, \mathbf{a}_{2}- y_{34} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{34} - z_{34}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{34} - y_{34} - z_{34}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{34} + y_{34} + z_{34}\right) \,\mathbf{\hat{z}}$ | (6f) | Si II |
| $\mathbf{B_{200}}$ | = | $- y_{34} \, \mathbf{a}_{1}- z_{34} \, \mathbf{a}_{2}- x_{34} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{34} - y_{34}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{34} + y_{34} - 2 z_{34}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{34} + y_{34} + z_{34}\right) \,\mathbf{\hat{z}}$ | (6f) | Si II |
| $\mathbf{B_{201}}$ | = | $x_{35} \, \mathbf{a}_{1}+y_{35} \, \mathbf{a}_{2}+z_{35} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{35} - z_{35}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{35} - 2 y_{35} + z_{35}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{35} + y_{35} + z_{35}\right) \,\mathbf{\hat{z}}$ | (6f) | Sn II |
| $\mathbf{B_{202}}$ | = | $z_{35} \, \mathbf{a}_{1}+x_{35} \, \mathbf{a}_{2}+y_{35} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{35} - z_{35}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{35} - y_{35} - z_{35}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{35} + y_{35} + z_{35}\right) \,\mathbf{\hat{z}}$ | (6f) | Sn II |
| $\mathbf{B_{203}}$ | = | $y_{35} \, \mathbf{a}_{1}+z_{35} \, \mathbf{a}_{2}+x_{35} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{35} - y_{35}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{35} + y_{35} - 2 z_{35}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{35} + y_{35} + z_{35}\right) \,\mathbf{\hat{z}}$ | (6f) | Sn II |
| $\mathbf{B_{204}}$ | = | $- x_{35} \, \mathbf{a}_{1}- y_{35} \, \mathbf{a}_{2}- z_{35} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{35} - z_{35}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{35} - 2 y_{35} + z_{35}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{35} + y_{35} + z_{35}\right) \,\mathbf{\hat{z}}$ | (6f) | Sn II |
| $\mathbf{B_{205}}$ | = | $- z_{35} \, \mathbf{a}_{1}- x_{35} \, \mathbf{a}_{2}- y_{35} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{35} - z_{35}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{35} - y_{35} - z_{35}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{35} + y_{35} + z_{35}\right) \,\mathbf{\hat{z}}$ | (6f) | Sn II |
| $\mathbf{B_{206}}$ | = | $- y_{35} \, \mathbf{a}_{1}- z_{35} \, \mathbf{a}_{2}- x_{35} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{35} - y_{35}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{35} + y_{35} - 2 z_{35}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{35} + y_{35} + z_{35}\right) \,\mathbf{\hat{z}}$ | (6f) | Sn II |
| $\mathbf{B_{207}}$ | = | $x_{36} \, \mathbf{a}_{1}+y_{36} \, \mathbf{a}_{2}+z_{36} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{36} - z_{36}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{36} - 2 y_{36} + z_{36}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{36} + y_{36} + z_{36}\right) \,\mathbf{\hat{z}}$ | (6f) | Sn III |
| $\mathbf{B_{208}}$ | = | $z_{36} \, \mathbf{a}_{1}+x_{36} \, \mathbf{a}_{2}+y_{36} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(y_{36} - z_{36}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(2 x_{36} - y_{36} - z_{36}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{36} + y_{36} + z_{36}\right) \,\mathbf{\hat{z}}$ | (6f) | Sn III |
| $\mathbf{B_{209}}$ | = | $y_{36} \, \mathbf{a}_{1}+z_{36} \, \mathbf{a}_{2}+x_{36} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{36} - y_{36}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(x_{36} + y_{36} - 2 z_{36}\right) \,\mathbf{\hat{y}}+\frac{1}{3}c \left(x_{36} + y_{36} + z_{36}\right) \,\mathbf{\hat{z}}$ | (6f) | Sn III |
| $\mathbf{B_{210}}$ | = | $- x_{36} \, \mathbf{a}_{1}- y_{36} \, \mathbf{a}_{2}- z_{36} \, \mathbf{a}_{3}$ | = | $- \frac{1}{2}a \left(x_{36} - z_{36}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{36} - 2 y_{36} + z_{36}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{36} + y_{36} + z_{36}\right) \,\mathbf{\hat{z}}$ | (6f) | Sn III |
| $\mathbf{B_{211}}$ | = | $- z_{36} \, \mathbf{a}_{1}- x_{36} \, \mathbf{a}_{2}- y_{36} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(y_{36} - z_{36}\right) \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \left(2 x_{36} - y_{36} - z_{36}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{36} + y_{36} + z_{36}\right) \,\mathbf{\hat{z}}$ | (6f) | Sn III |
| $\mathbf{B_{212}}$ | = | $- y_{36} \, \mathbf{a}_{1}- z_{36} \, \mathbf{a}_{2}- x_{36} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \left(x_{36} - y_{36}\right) \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \left(x_{36} + y_{36} - 2 z_{36}\right) \,\mathbf{\hat{y}}- \frac{1}{3}c \left(x_{36} + y_{36} + z_{36}\right) \,\mathbf{\hat{z}}$ | (6f) | Sn III |
References
- A. P. Purdy, R. J. Butcher, J. P. Yesinowski, S. A. Fischer, D. Gunlycke, and B. L. Chaloux, Synthesis and Structure of Sn$_{14}$Cl$_{6}$(CH$_{2}$SiMe$_{3}$)$_{12}$: Toward Nanoclusters of 4-Coordinate α-Sn, Inorg. Chem. 57, 4921–4925 (2018), doi:10.1021/acs.inorgchem.7b03092.
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=A24B3C66D6E7_hR212_148_8f_f_22f_2f_c2f --params=$a,c/a,x_{1},x_{2},y_{2},z_{2},x_{3},y_{3},z_{3},x_{4},y_{4},z_{4},x_{5},y_{5},z_{5},x_{6},y_{6},z_{6},x_{7},y_{7},z_{7},x_{8},y_{8},z_{8},x_{9},y_{9},z_{9},x_{10},y_{10},z_{10},x_{11},y_{11},z_{11},x_{12},y_{12},z_{12},x_{13},y_{13},z_{13},x_{14},y_{14},z_{14},x_{15},y_{15},z_{15},x_{16},y_{16},z_{16},x_{17},y_{17},z_{17},x_{18},y_{18},z_{18},x_{19},y_{19},z_{19},x_{20},y_{20},z_{20},x_{21},y_{21},z_{21},x_{22},y_{22},z_{22},x_{23},y_{23},z_{23},x_{24},y_{24},z_{24},x_{25},y_{25},z_{25},x_{26},y_{26},z_{26},x_{27},y_{27},z_{27},x_{28},y_{28},z_{28},x_{29},y_{29},z_{29},x_{30},y_{30},z_{30},x_{31},y_{31},z_{31},x_{32},y_{32},z_{32},x_{33},y_{33},z_{33},x_{34},y_{34},z_{34},x_{35},y_{35},z_{35},x_{36},y_{36},z_{36}$