hR1-Hg (Inverse)

hR1–Hg (Inverse)

Image of hR1–Hg (Inverse), generated by Vesta

Lattice Vectors:

\[\begin{split}a_1 &= ~\hat{x}\\ a_2 &= 0.3333132676~\hat{x} + \sqrt{8}/\sqrt{9}~\hat{y}\\ a_3 &= 0.3333132676~\hat{x} + \sqrt{2}/6~\hat{y} + \sqrt{5}/\sqrt{6}~\hat{z}\\\end{split}\]

Space Group: 166

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

Structure DOI: https://doi.org/10.1103/PhysRev.19.444.3

Photonics DOI: Gap(s) for space group 166 above band 2 theorized in: https://doi.org/10.1103/PhysRevLett.121.263903

Source: Inorganic Crystallographic Database #53771

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 between Bands 2-3

Below is the band structure and isosurface of hR1–Hg (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.54\) and filling fraction \(\phi = 0.252\).

Band Structure across first Brillouin Zone.

View along \(a_1\).