cF48-Be4TeO7 (Inverse)

cF48–Be4TeO7 (Inverse)

../_images/structure161.jpg

Image of cF48–Be4TeO7 (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: 216

Point Group of Structure: \(\bar{43}m\)

Structure DOI: https://doi.org/10.1107/S0567740877012606

Photonics DOI: Gap(s) for space group 216 above band(s) 5 theorized in: https://doi.org/10.1038/nmat979,

Gap(s) above band(s) 6, 18 not previously studied

Source: Crystallographic Open Database #2106455

MPB Epsilon Input File: Download

Gap Atlas for \(\varepsilon = 16\)

../_images/gap_atlas-16158.png

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

Gap Atlas for \(\varepsilon = 14\)

../_images/gap_atlas-14159.png

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

Gap Atlas for \(\varepsilon = 12\)

../_images/gap_atlas-12130.png

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

Gap between Bands 5-6

Below is the band structure and isosurface of cF48–Be4TeO7 (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.28\) and filling fraction \(\phi = 0.134\).

../_images/band_diagram_b=512.jpg

Band Structure across first Brillouin Zone.

../_images/cF48-Be4TeO7_r@gap_5-6.png

View along \(a_1\).

Gap between Bands 6-7

Below is the band structure and isosurface of cF48–Be4TeO7 (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.285\) and filling fraction \(\phi = 0.121\).

../_images/band_diagram_b=612.jpg

Band Structure across first Brillouin Zone.

../_images/cF48-Be4TeO7_r@gap_6-7.png

View along \(a_1\).

Gap between Bands 18-19

Below is the band structure and isosurface of cF48–Be4TeO7 (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.27\) and filling fraction \(\phi = 0.165\).

../_images/band_diagram_b=1816.jpg

Band Structure across first Brillouin Zone.

../_images/cF48-Be4TeO7_r@gap_18-19.png

View along \(a_1\).