Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: ABC_hP3_183_a_a_a-001

This structure originally had the label ABC_hP3_183_a_a_a. 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/Q8EL
or https://aflow.org/p/ABC_hP3_183_a_a_a-001
or PDF Version

AuCN Structure: ABC_hP3_183_a_a_a-001

Picture of Structure; Click for Big Picture
Prototype AuCN
AFLOW prototype label ABC_hP3_183_a_a_a-001
ICSD 165175
Pearson symbol hP3
Space group number 183
Space group symbol $P6mm$
AFLOW prototype command aflow --proto=ABC_hP3_183_a_a_a-001
--params=$a, \allowbreak c/a, \allowbreak z_{1}, \allowbreak z_{2}, \allowbreak z_{3}$

  • We use the data taken by (Hibble, 2004) at 300K.
  • Space group $P6mm$ #183 allows an arbitrary choice for the origin of the $z$-axis. Here we set the origin so that $z_{2} = 0$ for the carbon (1a) site.

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $z_{1} \, \mathbf{a}_{3}$ = $c z_{1} \,\mathbf{\hat{z}}$ (1a) Au I
$\mathbf{B_{2}}$ = $z_{2} \, \mathbf{a}_{3}$ = $c z_{2} \,\mathbf{\hat{z}}$ (1a) C I
$\mathbf{B_{3}}$ = $z_{3} \, \mathbf{a}_{3}$ = $c z_{3} \,\mathbf{\hat{z}}$ (1a) N I

References

  • S. J. Hibble, A. C. Hannon, and S. M. Cheyne, Structure of AuCN Determined from Total Neutron Diffraction, Inorg. Chem. 42, 4724–4730 (2003), doi:10.1021/ic0342043.

Found in

  • P. Villars and K. Cenzual, Pearson's Crystal Data – Crystal Structure Database for Inorganic Compounds (2013). ASM International.

Prototype Generator

aflow --proto=ABC_hP3_183_a_a_a --params=$a,c/a,z_{1},z_{2},z_{3}$

Species:

Running:

Output: