Te[OH]$_{6}$ Structure (Obsolete): A6B_cF224_228_h_c-001
| Prototype | H$_{6}$O$_{6}$Te |
| AFLOW prototype label | A6B_cF224_228_h_c-001 |
| ICSD | none |
| Pearson symbol | cF224 |
| Space group number | 228 |
| Space group symbol | $Fd\overline{3}c$ |
| AFLOW prototype command |
aflow --proto=A6B_cF224_228_h_c-001
--params=$a, \allowbreak x_{2}, \allowbreak y_{2}, \allowbreak z_{2}$ |
- (Kirckpatrick, 1926) did not find the locations of the hydrogen atoms. When these were located by (Mullica, 1980) it was found that the true structure is in space group $F4_{1}32$ #210.
\[ \begin{array}{ccc}
\mathbf{a_{1}}&=&\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}\\\mathbf{a_{2}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{z}}\\\mathbf{a_{3}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}
\end{array}\]
Basis vectors
| Lattice coordinates | Cartesian coordinates | Wyckoff position | Atom type | |||
|---|---|---|---|---|---|---|
| $\mathbf{B_{1}}$ | = | $0$ | = | $0$ | (32c) | Te I |
| $\mathbf{B_{2}}$ | = | $\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}$ | (32c) | Te I |
| $\mathbf{B_{3}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (32c) | Te I |
| $\mathbf{B_{4}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}$ | = | $\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (32c) | Te I |
| $\mathbf{B_{5}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (32c) | Te I |
| $\mathbf{B_{6}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (32c) | Te I |
| $\mathbf{B_{7}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (32c) | Te I |
| $\mathbf{B_{8}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (32c) | Te I |
| $\mathbf{B_{9}}$ | = | $\left(- x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{1}+\left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{2}+\left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{3}$ | = | $a x_{2} \,\mathbf{\hat{x}}+a y_{2} \,\mathbf{\hat{y}}+a z_{2} \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{10}}$ | = | $\left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{1}+\left(- x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{2}- \left(x_{2} + y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{2} - \frac{1}{4}\right) \,\mathbf{\hat{x}}- a \left(y_{2} - \frac{1}{4}\right) \,\mathbf{\hat{y}}+a z_{2} \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{11}}$ | = | $\left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{1}- \left(x_{2} + y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{2} - \frac{1}{4}\right) \,\mathbf{\hat{x}}+a y_{2} \,\mathbf{\hat{y}}- a \left(z_{2} - \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{12}}$ | = | $- \left(x_{2} + y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{2}+\left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $a x_{2} \,\mathbf{\hat{x}}- a \left(y_{2} - \frac{1}{4}\right) \,\mathbf{\hat{y}}- a \left(z_{2} - \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{13}}$ | = | $\left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{1}+\left(- x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{2}+\left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $a z_{2} \,\mathbf{\hat{x}}+a x_{2} \,\mathbf{\hat{y}}+a y_{2} \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{14}}$ | = | $- \left(x_{2} + y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{2}+\left(- x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $a z_{2} \,\mathbf{\hat{x}}- a \left(x_{2} - \frac{1}{4}\right) \,\mathbf{\hat{y}}- a \left(y_{2} - \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{15}}$ | = | $\left(- x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{1}+\left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{2}- \left(x_{2} + y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{2} - \frac{1}{4}\right) \,\mathbf{\hat{x}}- a \left(x_{2} - \frac{1}{4}\right) \,\mathbf{\hat{y}}+a y_{2} \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{16}}$ | = | $\left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{1}- \left(x_{2} + y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{2} - \frac{1}{4}\right) \,\mathbf{\hat{x}}+a x_{2} \,\mathbf{\hat{y}}- a \left(y_{2} - \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{17}}$ | = | $\left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{1}+\left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{2}+\left(- x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $a y_{2} \,\mathbf{\hat{x}}+a z_{2} \,\mathbf{\hat{y}}+a x_{2} \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{18}}$ | = | $\left(- x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{1}- \left(x_{2} + y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{2} - \frac{1}{4}\right) \,\mathbf{\hat{x}}+a z_{2} \,\mathbf{\hat{y}}- a \left(x_{2} - \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{19}}$ | = | $- \left(x_{2} + y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{2}+\left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{3}$ | = | $a y_{2} \,\mathbf{\hat{x}}- a \left(z_{2} - \frac{1}{4}\right) \,\mathbf{\hat{y}}- a \left(x_{2} - \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{20}}$ | = | $\left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{1}+\left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{2}- \left(x_{2} + y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{2} - \frac{1}{4}\right) \,\mathbf{\hat{x}}- a \left(z_{2} - \frac{1}{4}\right) \,\mathbf{\hat{y}}+a x_{2} \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{21}}$ | = | $\left(x_{2} - y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{2} - y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{2} + \frac{1}{4}\right) \,\mathbf{\hat{x}}+a \left(x_{2} + \frac{1}{4}\right) \,\mathbf{\hat{y}}- a \left(z_{2} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{22}}$ | = | $- \left(x_{2} - y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{2} - y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{2} + y_{2} - z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{2} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{2} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(z_{2} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{23}}$ | = | $- \left(x_{2} + y_{2} - z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{2}- \left(x_{2} - y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{2} + \frac{1}{4}\right) \,\mathbf{\hat{x}}- a \left(x_{2} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(z_{2} + \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{24}}$ | = | $\left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{1}- \left(x_{2} + y_{2} - z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{2} - y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{2} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{2} + \frac{1}{4}\right) \,\mathbf{\hat{y}}+a \left(z_{2} + \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{25}}$ | = | $- \left(x_{2} + y_{2} - z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{2} - y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{2} + \frac{1}{4}\right) \,\mathbf{\hat{x}}+a \left(z_{2} + \frac{1}{4}\right) \,\mathbf{\hat{y}}- a \left(y_{2} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{26}}$ | = | $\left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{1}- \left(x_{2} - y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{2} + y_{2} - z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{2} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(z_{2} + \frac{1}{4}\right) \,\mathbf{\hat{y}}+a \left(y_{2} + \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{27}}$ | = | $\left(x_{2} - y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{2} + y_{2} - z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{2} - y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{2} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(z_{2} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{2} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{28}}$ | = | $- \left(x_{2} - y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{2}+\left(x_{2} - y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{2} + \frac{1}{4}\right) \,\mathbf{\hat{x}}- a \left(z_{2} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{2} + \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{29}}$ | = | $- \left(x_{2} - y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{2} + y_{2} - z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{2} + \frac{1}{4}\right) \,\mathbf{\hat{x}}+a \left(y_{2} + \frac{1}{4}\right) \,\mathbf{\hat{y}}- a \left(x_{2} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{30}}$ | = | $\left(x_{2} - y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{2}- \left(x_{2} + y_{2} - z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{2} + \frac{1}{4}\right) \,\mathbf{\hat{x}}- a \left(y_{2} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{2} + \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{31}}$ | = | $\left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{1}+\left(x_{2} - y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{2} - y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{2} - \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{2} + \frac{1}{4}\right) \,\mathbf{\hat{y}}+a \left(x_{2} + \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{32}}$ | = | $- \left(x_{2} + y_{2} - z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{2} - y_{2} + z_{2} - \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{2} - y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{2} - \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{2} - \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{2} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{33}}$ | = | $\left(x_{2} - y_{2} - z_{2}\right) \, \mathbf{a}_{1}- \left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{2}- \left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{3}$ | = | $- a x_{2} \,\mathbf{\hat{x}}- a y_{2} \,\mathbf{\hat{y}}- a z_{2} \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{34}}$ | = | $- \left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{1}+\left(x_{2} - y_{2} - z_{2}\right) \, \mathbf{a}_{2}+\left(x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{2} + \frac{1}{4}\right) \,\mathbf{\hat{x}}+a \left(y_{2} + \frac{1}{4}\right) \,\mathbf{\hat{y}}- a z_{2} \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{35}}$ | = | $- \left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{1}+\left(x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{2} - y_{2} - z_{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{2} + \frac{1}{4}\right) \,\mathbf{\hat{x}}- a y_{2} \,\mathbf{\hat{y}}+a \left(z_{2} + \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{36}}$ | = | $\left(x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{2}- \left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $- a x_{2} \,\mathbf{\hat{x}}+a \left(y_{2} + \frac{1}{4}\right) \,\mathbf{\hat{y}}+a \left(z_{2} + \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{37}}$ | = | $- \left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{1}+\left(x_{2} - y_{2} - z_{2}\right) \, \mathbf{a}_{2}- \left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $- a z_{2} \,\mathbf{\hat{x}}- a x_{2} \,\mathbf{\hat{y}}- a y_{2} \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{38}}$ | = | $\left(x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{2}+\left(x_{2} - y_{2} - z_{2}\right) \, \mathbf{a}_{3}$ | = | $- a z_{2} \,\mathbf{\hat{x}}+a \left(x_{2} + \frac{1}{4}\right) \,\mathbf{\hat{y}}+a \left(y_{2} + \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{39}}$ | = | $\left(x_{2} - y_{2} - z_{2}\right) \, \mathbf{a}_{1}- \left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{2}+\left(x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{2} + \frac{1}{4}\right) \,\mathbf{\hat{x}}+a \left(x_{2} + \frac{1}{4}\right) \,\mathbf{\hat{y}}- a y_{2} \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{40}}$ | = | $- \left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{1}+\left(x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{2} + \frac{1}{4}\right) \,\mathbf{\hat{x}}- a x_{2} \,\mathbf{\hat{y}}+a \left(y_{2} + \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{41}}$ | = | $- \left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{1}- \left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{2}+\left(x_{2} - y_{2} - z_{2}\right) \, \mathbf{a}_{3}$ | = | $- a y_{2} \,\mathbf{\hat{x}}- a z_{2} \,\mathbf{\hat{y}}- a x_{2} \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{42}}$ | = | $\left(x_{2} - y_{2} - z_{2}\right) \, \mathbf{a}_{1}+\left(x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{2} + \frac{1}{4}\right) \,\mathbf{\hat{x}}- a z_{2} \,\mathbf{\hat{y}}+a \left(x_{2} + \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{43}}$ | = | $\left(x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{2} - y_{2} - z_{2}\right) \, \mathbf{a}_{2}- \left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{3}$ | = | $- a y_{2} \,\mathbf{\hat{x}}+a \left(z_{2} + \frac{1}{4}\right) \,\mathbf{\hat{y}}+a \left(x_{2} + \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{44}}$ | = | $- \left(x_{2} + y_{2} - z_{2}\right) \, \mathbf{a}_{1}- \left(x_{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{2}+\left(x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{2} + \frac{1}{4}\right) \,\mathbf{\hat{x}}+a \left(z_{2} + \frac{1}{4}\right) \,\mathbf{\hat{y}}- a x_{2} \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{45}}$ | = | $\left(- x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{2} - y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{2} - \frac{1}{4}\right) \,\mathbf{\hat{x}}- a \left(x_{2} - \frac{1}{4}\right) \,\mathbf{\hat{y}}+a \left(z_{2} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{46}}$ | = | $\left(x_{2} - y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{2} + y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{2} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(x_{2} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(z_{2} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{47}}$ | = | $\left(x_{2} + y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{2}+\left(x_{2} - y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(y_{2} - \frac{1}{4}\right) \,\mathbf{\hat{x}}+a \left(x_{2} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(z_{2} - \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{48}}$ | = | $- \left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{1}+\left(x_{2} + y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(y_{2} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(x_{2} - \frac{1}{4}\right) \,\mathbf{\hat{y}}- a \left(z_{2} - \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{49}}$ | = | $\left(x_{2} + y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(- x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{2} - \frac{1}{4}\right) \,\mathbf{\hat{x}}- a \left(z_{2} - \frac{1}{4}\right) \,\mathbf{\hat{y}}+a \left(y_{2} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{50}}$ | = | $- \left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{1}+\left(x_{2} - y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{2} + y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{2} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(z_{2} - \frac{1}{4}\right) \,\mathbf{\hat{y}}- a \left(y_{2} - \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{51}}$ | = | $\left(- x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{2} + y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{2} - y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(x_{2} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(z_{2} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(y_{2} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{52}}$ | = | $\left(x_{2} - y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{2}+\left(- x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(x_{2} - \frac{1}{4}\right) \,\mathbf{\hat{x}}+a \left(z_{2} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(y_{2} - \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{53}}$ | = | $\left(x_{2} - y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{2} + y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}- \left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{2} - \frac{1}{4}\right) \,\mathbf{\hat{x}}- a \left(y_{2} - \frac{1}{4}\right) \,\mathbf{\hat{y}}+a \left(x_{2} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{54}}$ | = | $\left(- x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}- \left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{2}+\left(x_{2} + y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- a \left(z_{2} - \frac{1}{4}\right) \,\mathbf{\hat{x}}+a \left(y_{2} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- a \left(x_{2} - \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{55}}$ | = | $- \left(x_{2} + y_{2} + z_{2}\right) \, \mathbf{a}_{1}+\left(- x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(x_{2} - y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{2} + \frac{1}{2}\right) \,\mathbf{\hat{x}}- a \left(y_{2} - \frac{1}{4}\right) \,\mathbf{\hat{y}}- a \left(x_{2} - \frac{1}{4}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
| $\mathbf{B_{56}}$ | = | $\left(x_{2} + y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}+\left(x_{2} - y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{2}+\left(- x_{2} + y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $a \left(z_{2} + \frac{1}{2}\right) \,\mathbf{\hat{x}}+a \left(y_{2} + \frac{1}{2}\right) \,\mathbf{\hat{y}}+a \left(x_{2} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ | (192h) | O I |
References
- L. M. Kirkpatrick and L. Pauling, Über die Kristallstruktur der kubischen Tellursäure, Z. Krystallogr. 63, 502–506 (1926), doi:10.1524/zkri.1926.63.1.502.
- D. F. Mullica, J. D. Korp, W. O. Milligan, G. W. Beall, and I. Bernal, Neutron structural refinement of cubic orthotelluric acid, Acta Crystallogr. Sect. B 36, 2565–2570 (1980), doi:10.1107/S0567740880009454.
Found in
- P. Villars and K. Cenzual, Pearson's Crystal Data – Crystal Structure Database for Inorganic Compounds (2013). ASM International.
Prototype Generator
aflow --proto=A6B_cF224_228_h_c --params=$a,x_{2},y_{2},z_{2}$