Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: ABC2_oI8_44_a_a_d

  • 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)
  • 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)
  • D. Hicks, M.J. Mehl, M. Esters, C. Oses, O. Levy, G.L.W. Hart, C. Toher, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 3, Comp. Mat. Sci. 199, 110450 (2021). (doi=10.1016/j.commatsci.2021.110450)

AgNO2 ($F5_{12}$) Structure : ABC2_oI8_44_a_a_d

Picture of Structure; Click for Big Picture
Prototype : AgNO2
AFLOW prototype label : ABC2_oI8_44_a_a_d
Strukturbericht designation : $F5_{12}$
Pearson symbol : oI8
Space group number : 44
Space group symbol : $Imm2$
AFLOW prototype command : aflow --proto=ABC2_oI8_44_a_a_d
--params=
$a$,$b/a$,$c/a$,$z_{1}$,$z_{2}$,$y_{3}$,$z_{3}$


Other compounds with this structure

  • NaNO2 ($F5_{5}$)

  • This structure is very similar to sodium nitrite, NbNO2, $F5_{5}$. We list the two structures as they are listed separately in the Strukturbericht volumes.
  • The origin of the $z$ coordinate in $Imm2$ is arbitrary, and we set $z_{1}$ to zero.

Body-centered Orthorhombic primitive vectors:

\[ \begin{array}{ccc} \mathbf{a}_1 & = & - \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, b \, \mathbf{\hat{y}} + \frac12 \, c \, \mathbf{\hat{z}} \\ \mathbf{a}_2 & = & ~ \frac12 \, a \, \mathbf{\hat{x}} - \frac12 \, b \, \mathbf{\hat{y}} + \frac12 \, c \, \mathbf{\hat{z}} \\ \mathbf{a}_3 & = & ~ \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, b \, \mathbf{\hat{y}} - \frac12 \, c \, \mathbf{\hat{z}} \\ \end{array} \]

Basis vectors:

\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & = & z_{1} \, \mathbf{a}_{1} + z_{1} \, \mathbf{a}_{2} & = & z_{1}c \, \mathbf{\hat{z}} & \left(2a\right) & \text{Ag} \\ \mathbf{B}_{2} & = & z_{2} \, \mathbf{a}_{1} + z_{2} \, \mathbf{a}_{2} & = & z_{2}c \, \mathbf{\hat{z}} & \left(2a\right) & \text{N} \\ \mathbf{B}_{3} & = & \left(y_{3}+z_{3}\right) \, \mathbf{a}_{1} + z_{3} \, \mathbf{a}_{2} + y_{3} \, \mathbf{a}_{3} & = & y_{3}b \, \mathbf{\hat{y}} + z_{3}c \, \mathbf{\hat{z}} & \left(4d\right) & \text{O} \\ \mathbf{B}_{4} & = & \left(-y_{3}+z_{3}\right) \, \mathbf{a}_{1} + z_{3} \, \mathbf{a}_{2}-y_{3} \, \mathbf{a}_{3} & = & -y_{3}b \, \mathbf{\hat{y}} + z_{3}c \, \mathbf{\hat{z}} & \left(4d\right) & \text{O} \\ \end{array} \]

References

  • S. Ohba and Y. Saito, Structure of silver(I) nitrite, a redetermination, Acta Crystallogr. Sect. B Struct. Sci. 37, 1911–1913 (1981), doi:10.1107/S0567740881007565.

Geometry files


Prototype Generator

aflow --proto=ABC2_oI8_44_a_a_d --params=

Species:

Running:

Output: