Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: A2B_mP6_10_mn_bc-001

This structure originally had the label A2B_mP6_10_mn_bg. Calls to that address will be redirected here.

If you are using this page, please cite:
D. Hicks, M. J. Mehl, E. Gossett, C. Toher, O. Levy, R. M. Hanson, G. L. W. Hart, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 2, Comp. Mat. Sci. 161, S1-S1011 (2019). (doi=10.1016/j.commatsci.2018.10.043)

Links to this page

https://aflow.org/p/ZWXH
or https://aflow.org/p/A2B_mP6_10_mn_bc-001
or PDF Version

δ-Pd$_{2}$Cl Structure: A2B_mP6_10_mn_bc-001

Picture of Structure; Click for Big Picture
Prototype Cl$_{2}$Pd
AFLOW prototype label A2B_mP6_10_mn_bc-001
ICSD 421220
Pearson symbol mP6
Space group number 10
Space group symbol $P2/m$
AFLOW prototype command aflow --proto=A2B_mP6_10_mn_bc-001
--params=$a, \allowbreak b/a, \allowbreak c/a, \allowbreak \beta, \allowbreak x_{3}, \allowbreak z_{3}, \allowbreak x_{4}, \allowbreak z_{4}$


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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $\frac{1}{2} \, \mathbf{a}_{2}$ = $\frac{1}{2}b \,\mathbf{\hat{y}}$ (1b) Pd I
$\mathbf{B_{2}}$ = $\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}c \cos{\beta} \,\mathbf{\hat{x}}+\frac{1}{2}c \sin{\beta} \,\mathbf{\hat{z}}$ (1c) Pd II
$\mathbf{B_{3}}$ = $x_{3} \, \mathbf{a}_{1}+z_{3} \, \mathbf{a}_{3}$ = $\left(a x_{3} + c z_{3} \cos{\beta}\right) \,\mathbf{\hat{x}}+c z_{3} \sin{\beta} \,\mathbf{\hat{z}}$ (2m) Cl I
$\mathbf{B_{4}}$ = $- x_{3} \, \mathbf{a}_{1}- z_{3} \, \mathbf{a}_{3}$ = $- \left(a x_{3} + c z_{3} \cos{\beta}\right) \,\mathbf{\hat{x}}- c z_{3} \sin{\beta} \,\mathbf{\hat{z}}$ (2m) Cl I
$\mathbf{B_{5}}$ = $x_{4} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+z_{4} \, \mathbf{a}_{3}$ = $\left(a x_{4} + c z_{4} \cos{\beta}\right) \,\mathbf{\hat{x}}+\frac{1}{2}b \,\mathbf{\hat{y}}+c z_{4} \sin{\beta} \,\mathbf{\hat{z}}$ (2n) Cl II
$\mathbf{B_{6}}$ = $- x_{4} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}- z_{4} \, \mathbf{a}_{3}$ = $- \left(a x_{4} + c z_{4} \cos{\beta}\right) \,\mathbf{\hat{x}}+\frac{1}{2}b \,\mathbf{\hat{y}}- c z_{4} \sin{\beta} \,\mathbf{\hat{z}}$ (2n) Cl II

References

  • J.Evers, W. Beck, M. Göbel, S. Jakob, P. Mayer, G. Oehlinger, M. Rotter, and T. Klapötke, The Structures of δ-PdCl$_{2}$ and γ-PdCl$_{2}$: Phases with Negative Thermal Expansion in One Direction, Angew. Chem. Int. Ed. 49, 5677–5682 (2010), doi:10.1002/anie.201000680.

Prototype Generator

aflow --proto=A2B_mP6_10_mn_bc --params=$a,b/a,c/a,\beta,x_{3},z_{3},x_{4},z_{4}$

Species:

Running:

Output: