cF12-Li2O (Direct)

cF12–Li₂O (Direct)

Image of cF12–Li₂O (Direct), 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/10.1021/ja066016s

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) 14, 17 not previously studied

Source: Crystallographic Open Database #4121514

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 Atlas for \(\varepsilon = 8\)

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

Gap Atlas for \(\varepsilon = 6\)

Gap Atlas for \(\varepsilon\) = 6 across filling fraction \(\phi\) and frequency \(\omega\).

Gap Atlas for \(\varepsilon = 4\)

Gap Atlas for \(\varepsilon\) = 4 across filling fraction \(\phi\) and frequency \(\omega\).

Gap between Bands 8-9

Below is the band structure and isosurface of cF12–Li₂O (Direct) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.27\) and filling fraction \(\phi = 0.278\).

Band Structure across first Brillouin Zone.

View along \(a_1\).

Gap between Bands 14-15

Below is the band structure and isosurface of cF12–Li₂O (Direct) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.3\) and filling fraction \(\phi = 0.39\).

Band Structure across first Brillouin Zone.

View along \(a_1\).

Gap between Bands 17-18

Below is the band structure and isosurface of cF12–Li₂O (Direct) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.18\) and filling fraction \(\phi = 0.073\).

Band Structure across first Brillouin Zone.

View along \(a_1\).