Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: A_hP1_191_a-001

This structure originally had the label A_hP1_191_a. Calls to that address will be redirected here.

If you are using this page, please cite:
M. J. Mehl, D. Hicks, C. Toher, O. Levy, R. M. Hanson, G. L. W. Hart, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 1, Comp. Mat. Sci. 136, S1-S828 (2017). (doi=10.1016/j.commatsci.2017.01.017)

Links to this page

https://aflow.org/p/3V7H
or https://aflow.org/p/A_hP1_191_a-001
or PDF Version

Simple Hexagonal (HgSn$_{6-10}$ $A_{f}$) Structure: A_hP1_191_a-001

Picture of Structure; Click for Big Picture
Prototype HgSn$_{6-10}$
AFLOW prototype label A_hP1_191_a-001
Strukturbericht designation $A_{f}$
ICSD 639211
Pearson symbol hP1
Space group number 191
Space group symbol $P6/mmm$
AFLOW prototype command aflow --proto=A_hP1_191_a-001
--params=$a, \allowbreak c/a$

Other compounds with this structure

Si (metastable),  disordered phases of BiIn,  CdSn$_{19}$,  In$_{7}$Sb$_{3}$,  InSb


  • Unlike the simple cubic lattice, there are no elements which take this structure as the ground state. There is a metastable silicon phase with this structure. The prototype state is a mercury-tin alloy. Thus the atom type M represents an average of Hg and Sn atoms.

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $0$ = $0$ (1a) Sn I

References

  • G. V. Raynor and J. A. Lee, The tin-rich intermediate phases in the alloys of tin with cadmium, indium and mercury, Acta Metall. 2, 616–620 (1954), doi:10.1016/0001-6160(54)90197-2.

Found in

  • P. Villars and L. Calvert, Pearson's Handbook of Crystallographic Data for Intermetallic Phases (ASM International, Materials Park, OH, 1991), 2nd edn.

Prototype Generator

aflow --proto=A_hP1_191_a --params=$a,c/a$

Species:

Running:

Output: