hR2-C (Inverse)

hR2–C (Inverse)

Image of hR2–C (Inverse), generated by Vesta

Lattice Vectors:

\[\begin{split}a_1 &= 1/2~\hat{x} + \sqrt{3}/6~\hat{y} + \sqrt{2}/\sqrt{3}~\hat{z}\\ a_2 &= -1/2~\hat{x} + \sqrt{3}/6~\hat{y} + \sqrt{2}/\sqrt{3}~\hat{z}\\ a_3 &= -1/\sqrt{3}~\hat{y} + \sqrt{2}/\sqrt{3}~\hat{z}\\\end{split}\]

Space Group: 166

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

Structure DOI: https://doi.org/10.1088/1367-2630/8/5/062

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 #157074

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 hR2–C (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.46\) and filling fraction \(\phi = 0.16\).

Band Structure across first Brillouin Zone.

View along \(a_1\).