cI80-Er2O3 (Inverse)

cI80–Er2O3 (Inverse)

../_images/structure327.jpg

Image of cI80–Er2O3 (Inverse), generated by Vesta

Lattice Vectors:

\[\begin{split}a_1 &= -1/\sqrt{3}~\hat{x} + 1/\sqrt{3}~\hat{y} + 1/\sqrt{3}~\hat{z}\\ a_2 &= 1/\sqrt{3}~\hat{x} - 1/\sqrt{3}~\hat{y} + 1/\sqrt{3}~\hat{z}\\ a_3 &= 1/\sqrt{3}~\hat{x} + 1/\sqrt{3}~\hat{y} - 1/\sqrt{3}~\hat{z}\\\end{split}\]

Space Group: 199

Point Group of Structure: \(23\)

Structure DOI: https://doi.org/10.17188/1283440

Source: Crystallographic Open Database #1010334

MPB Epsilon Input File: Download

Gap Atlas for \(\varepsilon = 16\)

../_images/gap_atlas-16323.png

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

Gap Atlas for \(\varepsilon = 14\)

../_images/gap_atlas-14323.png

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

Gap Atlas for \(\varepsilon = 12\)

../_images/gap_atlas-12273.png

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

Gap Atlas for \(\varepsilon = 10\)

../_images/gap_atlas-10209.png

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

Gap Atlas for \(\varepsilon = 8\)

../_images/gap_atlas-8138.png

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

Gap between Bands 12-13

Below is the band structure and isosurface of cI80–Er2O3 (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.18\) and filling fraction \(\phi = 0.136\).

../_images/band_diagram_b=1245.jpg

Band Structure across first Brillouin Zone.

../_images/cI80-Er2O3_r@gap_12-13.png

View along \(a_1\).