cF52-UB12 (Inverse)

cF52–UB₁₂ (Inverse)

Image of cF52–UB₁₂ (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: 225

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

Structure DOI: https://doi.org/10.1107/S0365110X54000151

Photonics DOI: Gap(s) for space group 225 above band(s) 8 theorized in: https://doi.org/10.1038/nmat979,

Gap(s) above band(s) 5 not previously studied

Source: Crystallographic Open Database #1008115

MPB Epsilon Input File: Download

Gap Atlas for \(\varepsilon = 16\)

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

Gap Atlas for \(\varepsilon = 14\)

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

Gap Atlas for \(\varepsilon = 12\)

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

Gap Atlas for \(\varepsilon = 10\)

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

Gap between Bands 5-6

Below is the band structure and isosurface of cF52–UB₁₂ (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.26\) and filling fraction \(\phi = 0.133\).

Band Structure across first Brillouin Zone.

View along \(a_1\).

Gap between Bands 8-9

Below is the band structure and isosurface of cF52–UB₁₂ (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.235\) and filling fraction \(\phi = 0.252\).

Band Structure across first Brillouin Zone.

View along \(a_1\).