AFLOW Prototype: A2B3C8D_tP14_123_h_bg_egi_c-001
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https://aflow.org/p/PXE7
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../A2B3C8D_tP14_123_h_bg_egi_c-001
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| Prototype | Ba$_{2}$Cu$_{3}$O$_{7}$Y |
| AFLOW prototype label | A2B3C8D_tP14_123_h_bg_egi_c-001 |
| ICSD | 68045 |
| CCDC | 1629994 |
| Pearson symbol | tP14 |
| Space group number | 123 |
| Space group symbol | $P4/mmm$ |
| AFLOW prototype command |
aflow --proto=A2B3C8D_tP14_123_h_bg_egi_c-001
--params=$a, \allowbreak c/a, \allowbreak z_{4}, \allowbreak z_{5}, \allowbreak z_{6}, \allowbreak z_{7}$ |
CaBa$_{2}$Cu$_{3}$O$_{7-x}$, DyBa$_{2}$Cu$_{3}$O$_{7-x}$, ErBa$_{2}$Cu$_{3}$O$_{7-y}$, GdBa$_{2}$Cu$_{3}$O$_{7-y}$, HgBa$_{2}$Cu$_{3}$O$_{7-y}$, HoBa$_{2}$Cu$_{3}$O$_{7-x}$, LaBa$_{2}$Cu$_{3}$O$_{7-y}$, LuBa$_{2}$Cu$_{3}$O$_{7-y}$, NdBa$_{2}$Cu$_{3}$O$_{7-x}$, PrBa$_{2}$Cu$_{3}$O$_{7-x}$, SmBa$_{2}$Cu$_{3}$O$_{7-y}$, SrBa$_{2}$Cu$_{3}$O$_{7-y}$, TmBa$_{2}$Cu$_{3}$O$_{7-y}$, YbBa$_{2}$Cu$_{3}$O$_{7-x}$
Basis vectors
| Lattice coordinates | Cartesian coordinates | Wyckoff position | Atom type | |||
|---|---|---|---|---|---|---|
| $\mathbf{B_{1}}$ | = | $\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}c \,\mathbf{\hat{z}}$ | (1b) | Cu I |
| $\mathbf{B_{2}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}$ | (1c) | Y I |
| $\mathbf{B_{3}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}c \,\mathbf{\hat{z}}$ | (2e) | O I |
| $\mathbf{B_{4}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}c \,\mathbf{\hat{z}}$ | (2e) | O I |
| $\mathbf{B_{5}}$ | = | $z_{4} \, \mathbf{a}_{3}$ | = | $c z_{4} \,\mathbf{\hat{z}}$ | (2g) | Cu II |
| $\mathbf{B_{6}}$ | = | $- z_{4} \, \mathbf{a}_{3}$ | = | $- c z_{4} \,\mathbf{\hat{z}}$ | (2g) | Cu II |
| $\mathbf{B_{7}}$ | = | $z_{5} \, \mathbf{a}_{3}$ | = | $c z_{5} \,\mathbf{\hat{z}}$ | (2g) | O II |
| $\mathbf{B_{8}}$ | = | $- z_{5} \, \mathbf{a}_{3}$ | = | $- c z_{5} \,\mathbf{\hat{z}}$ | (2g) | O II |
| $\mathbf{B_{9}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+z_{6} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{6} \,\mathbf{\hat{z}}$ | (2h) | Ba I |
| $\mathbf{B_{10}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}- z_{6} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{6} \,\mathbf{\hat{z}}$ | (2h) | Ba I |
| $\mathbf{B_{11}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}+z_{7} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{7} \,\mathbf{\hat{z}}$ | (4i) | O III |
| $\mathbf{B_{12}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+z_{7} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+c z_{7} \,\mathbf{\hat{z}}$ | (4i) | O III |
| $\mathbf{B_{13}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}- z_{7} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{7} \,\mathbf{\hat{z}}$ | (4i) | O III |
| $\mathbf{B_{14}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}- z_{7} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- c z_{7} \,\mathbf{\hat{z}}$ | (4i) | O III |