Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: A2B3C8D_tP14_123_h_bg_egi_c-001

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Tetragonal Ba$_{2}$YCu$_{3-x}$O$_{7-y}$ Structure: A2B3C8D_tP14_123_h_bg_egi_c-001

Picture of Structure; Click for Big Picture
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=$a, \allowbreak c/a, \allowbreak z_{4}, \allowbreak z_{5}, \allowbreak z_{6}, \allowbreak z_{7}$

Other compounds with this structure

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$_{7-x}$


  • This is the high temperature phase of Ba$_{2}$YCu$_{3-x}$O$_{7-y}$, stable above 575$^\circ$C. (Nakai, 1987a). At lower temperatures is transforms into the superconducting orthorhombic 1212C structure.
  • As with all of the high-T$_{c}$ cuprates there is considerable disorder. In this sample the copper site has 9% vacancies, and the O I (2e) site has 20% occupation, givin $x = 0.6$.
  • In some compounds the Cu I and Cu II sites are occupied by different species. The ICSD lists these under the Ba$_{2}$YCu$_{3-x}$O$_{7-y}$ prototype, but we have separated those compounds out, creating the Hg-1212 prototype.
  • AFLOW shifted the origin of the experimental report of the structure, moving the Cu I atom from the (1a) to the (1b) site.

\[ \begin{array}{ccc} \mathbf{a_{1}}&=&a \,\mathbf{\hat{x}}\\\mathbf{a_{2}}&=&a \,\mathbf{\hat{y}}\\\mathbf{a_{3}}&=&c \,\mathbf{\hat{z}} \end{array}\]

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

References

  • I. Nakai, S. Sueno, F. P. Okamura, and A. Ono, X-Ray Single Crystal Structure Analysis of Tetragonal Ba$_{2}$YCu$_{3-x}$O$_{7-y}$, a High Temperature Form of the Superconductor, Japn. J. Appl. Phys. 26, L788–L790 (1987), doi:10.1143/JJAP.26.L788.

Found in

  • I. Nakai, K. Imai, T. Kawashima, and R. Yoshizaki, Structure of the High $T_{c}$ Superconductor, Ba$_{2}$LaCu$_{3-x}$O$_{7-y}$ – Studies on La-Ba Ordering and Oxygen Defects, Jpn. J. Appl. Phys. 26, L1244–L1247 (1987), doi:10.1143/JJAP.26.L1244.

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=A2B3C8D_tP14_123_h_bg_egi_c --params=$a,c/a,z_{4},z_{5},z_{6},z_{7}$

Species:

Running:

Output: