Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: A_tI4_139_e-001

This structure originally had the label A_tI4_139_e. 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/ZSDQ
or https://aflow.org/p/A_tI4_139_e-001
or PDF Version

Hypothetical BCT5 Si Structure: A_tI4_139_e-001

Picture of Structure; Click for Big Picture
Prototype Si
AFLOW prototype label A_tI4_139_e-001
ICSD none
Pearson symbol tI4
Space group number 139
Space group symbol $I4/mmm$
AFLOW prototype command aflow --proto=A_tI4_139_e-001
--params=$a, \allowbreak c/a, \allowbreak z_{1}$

  • The bct5 structure is a tetragonal analog of the diamond ($A4$) structure, with 5-fold coordination. It was proposed in (Boyer, 1991) as a low-energy metastable phase of silicon, based on first-principles calculations and model potentials. (Gerbig, 2012) found evidence of this structure in strained silicon.

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $z_{1} \, \mathbf{a}_{1}+z_{1} \, \mathbf{a}_{2}$ = $c z_{1} \,\mathbf{\hat{z}}$ (4e) Si I
$\mathbf{B_{2}}$ = $- z_{1} \, \mathbf{a}_{1}- z_{1} \, \mathbf{a}_{2}$ = $- c z_{1} \,\mathbf{\hat{z}}$ (4e) Si I

References

  • L. L. Boyer, E. Kaxiras, J. L. Feldman, J. Q. Broughton, and M. J. Mehl, New low-energy crystal structure for silicon, Phys. Rev. Lett. 67, 715–718 (1991), doi:10.1103/PhysRevLett.67.715.
  • Y. B. Gerbig, C. A. Michaels, A. M. Forster, and R. F. Cook, In situ observation of the indentation-induced phase transformation of silicon thin films, Phys. Rev. B 85, 104102 (2012), doi:10.1103/PhysRevB.85.104102.

Prototype Generator

aflow --proto=A_tI4_139_e --params=$a,c/a,z_{1}$

Species:

Running:

Output: