Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: AB2_mC6_12_a_i-003

If you are using this page, please cite:
H. Eckert, S. Divilov, M. J. Mehl, D. Hicks, A. C. Zettel, M. Esters. X. Campilongo and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 4. Submitted to Computational Materials Science.

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NiO$_{2}$ Structure: AB2_mC6_12_a_i-003

Picture of Structure; Click for Big Picture
Prototype NiO$_{2}$
AFLOW prototype label AB2_mC6_12_a_i-003
ICSD 88720
Pearson symbol mC6
Space group number 12
Space group symbol $C2/m$
AFLOW prototype command aflow --proto=AB2_mC6_12_a_i-003
--params=$a, \allowbreak b/a, \allowbreak c/a, \allowbreak \beta, \allowbreak x_{2}, \allowbreak z_{2}$

  • $C34$ Calverite, $\alpha$–HgO2, and NiO$_{2}$ (this structure) have the same AFLOW prototype label, AB2_mC6_12_a_i. The structures are generated by the same symmetry operations with different sets of parameters (--params) specified in their corresponding CIF files.

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $0$ = $0$ (2a) Ni I
$\mathbf{B_{2}}$ = $x_{2} \, \mathbf{a}_{1}+x_{2} \, \mathbf{a}_{2}+z_{2} \, \mathbf{a}_{3}$ = $\left(a x_{2} + c z_{2} \cos{\beta}\right) \,\mathbf{\hat{x}}+c z_{2} \sin{\beta} \,\mathbf{\hat{z}}$ (4i) O I
$\mathbf{B_{3}}$ = $- x_{2} \, \mathbf{a}_{1}- x_{2} \, \mathbf{a}_{2}- z_{2} \, \mathbf{a}_{3}$ = $- \left(a x_{2} + c z_{2} \cos{\beta}\right) \,\mathbf{\hat{x}}- c z_{2} \sin{\beta} \,\mathbf{\hat{z}}$ (4i) O I

References

  • J. M. Tarascon, G. Vaughan, Y. Chabre, L. Seguin, M. Anne, P. Strobel, and G. Amatucci, {\em In Situ} Structural and Electrochemical Study of Ni$_{1-x}$Co$_{x}$O$_{2}$ Metastable Oxides Prepared by Soft Chemistry, J. Solid State Chem. 147, 410–420 (1999), doi:10.1006/jssc.1999.8465.

Prototype Generator

aflow --proto=AB2_mC6_12_a_i --params=$a,b/a,c/a,\beta,x_{2},z_{2}$

Species:

Running:

Output: