cF80-Sb2O3 (Inverse)

cF80–Sb2O3 (Inverse)

../_images/structure226.jpg

Image of cF80–Sb2O3 (Inverse), generated by Vesta

Lattice Vectors:

\[\begin{split}a_1 &= 1/\sqrt{2}~\hat{y} + 1/\sqrt{2}~\hat{z}\\ a_2 &= 1/\sqrt{2}~\hat{x} + 1/\sqrt{2}~\hat{z}\\ a_3 &= 1/\sqrt{2}~\hat{x} + 1/\sqrt{2}~\hat{y}\\\end{split}\]

Space Group: 227

Point Group of Structure: \(m\bar{3}m\)

Structure DOI: https://doi.org/10.1107/S0567740875006759

Photonics DOI: Gap(s) for space group 227 above band(s) 2 theorized in: https://doi.org/10.1038/nmat979

Source: Crystallographic Open Database #9007609

MPB Epsilon Input File: Download

Gap Atlas for \(\varepsilon = 16\)

../_images/gap_atlas-16223.png

Gap Atlas for \(\varepsilon\) = 16 across filling fraction \(\phi\) and frequency \(\omega\).

Gap Atlas for \(\varepsilon = 14\)

../_images/gap_atlas-14223.png

Gap Atlas for \(\varepsilon\) = 14 across filling fraction \(\phi\) and frequency \(\omega\).

Gap Atlas for \(\varepsilon = 12\)

../_images/gap_atlas-12184.png

Gap Atlas for \(\varepsilon\) = 12 across filling fraction \(\phi\) and frequency \(\omega\).

Gap Atlas for \(\varepsilon = 10\)

../_images/gap_atlas-10145.png

Gap Atlas for \(\varepsilon\) = 10 across filling fraction \(\phi\) and frequency \(\omega\).

Gap Atlas for \(\varepsilon = 8\)

../_images/gap_atlas-891.png

Gap Atlas for \(\varepsilon\) = 8 across filling fraction \(\phi\) and frequency \(\omega\).

Gap Atlas for \(\varepsilon = 6\)

../_images/gap_atlas-649.png

Gap Atlas for \(\varepsilon\) = 6 across filling fraction \(\phi\) and frequency \(\omega\).

Gap Atlas for \(\varepsilon = 4\)

../_images/gap_atlas-434.png

Gap Atlas for \(\varepsilon\) = 4 across filling fraction \(\phi\) and frequency \(\omega\).

Gap between Bands 2-3

Below is the band structure and isosurface of cF80–Sb2O3 (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.23\) and filling fraction \(\phi = 0.156\).

../_images/band_diagram_b=226.jpg

Band Structure across first Brillouin Zone.

../_images/cF80-Sb2O3_r@gap_2-3.png

View along \(a_1\).