Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: AB_oC8_66_a_e-001

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.

Links to this page

https://aflow.org/p/087H
or https://aflow.org/p/AB_oC8_66_a_e-001
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NbD Structure: AB_oC8_66_a_e-001

Picture of Structure; Click for Big Picture
Prototype HNb
AFLOW prototype label AB_oC8_66_a_e-001
ICSD 71093
Pearson symbol oC8
Space group number 66
Space group symbol $Cccm$
AFLOW prototype command aflow --proto=AB_oC8_66_a_e-001
--params=$a, \allowbreak b/a, \allowbreak c/a$

  • The deuterium sites in this structure have 5% vacancies.
  • (Somenkov, 1968) do not actually give the lattice constants for this structure. They are inferred from the Nb-H and H-H distances given for NbH$_{0.85}$.
  • (Somenkov, 1968) described this structure in space group $Pnnn$ #48, but the positions given actually for the conventional cell of space group $Cccm$ #66. (Cenzual, 1991)

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $\frac{1}{4} \, \mathbf{a}_{3}$ = $\frac{1}{4}c \,\mathbf{\hat{z}}$ (4a) D I
$\mathbf{B_{2}}$ = $\frac{3}{4} \, \mathbf{a}_{3}$ = $\frac{3}{4}c \,\mathbf{\hat{z}}$ (4a) D I
$\mathbf{B_{3}}$ = $\frac{1}{2} \, \mathbf{a}_{2}$ = $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}b \,\mathbf{\hat{y}}$ (4e) Nb I
$\mathbf{B_{4}}$ = $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{4}a \,\mathbf{\hat{x}}- \frac{1}{4}b \,\mathbf{\hat{y}}+\frac{1}{2}c \,\mathbf{\hat{z}}$ (4e) Nb I

References

  • V. A. Somenkov, A. V. Gurskaya, M. G. Zemlyanov, M. E. Kost, N. A. Chernoplekov, and A. A. Chertkov, Neutron Scattering Study of Structure and Phase Transitions of Niobium Hydrides and Deuterides, Sov. Phys. – Solid State 10, 1076–1082 (1968).

Found in

  • K. Cenzual, L. M. Gelato, M. Penzo, and E. Parthé, Inorganic structure types with revised space groups. I, Acta Crystallogr. Sect. B 47, 433–439 (1991), doi:10.1107/S0108768191000903.

Prototype Generator

aflow --proto=AB_oC8_66_a_e --params=$a,b/a,c/a$

Species:

Running:

Output: