cF24-AgClO4 (Inverse)

cF24–AgClO₄ (Inverse)

Image of cF24–AgClO₄ (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/10.1515/zkri-1930-0105

Photonics DOI: Gap(s) for space group 216 above band(s) 2, 5 theorized in: https://doi.org/10.1038/nmat979,

Gap(s) above band(s) 6, 13, 18 not previously studied

Source: Crystallographic Open Database #1010574

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 between Bands 2-3

Below is the band structure and isosurface of cF24–AgClO₄ (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.34\) and filling fraction \(\phi = 0.149\).

Band Structure across first Brillouin Zone.

View along \(a_1\).

Gap between Bands 5-6

Below is the band structure and isosurface of cF24–AgClO₄ (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.31\) and filling fraction \(\phi = 0.233\).

Band Structure across first Brillouin Zone.

View along \(a_1\).

Gap between Bands 6-7

Below is the band structure and isosurface of cF24–AgClO₄ (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.36\) and filling fraction \(\phi = 0.112\).

Band Structure across first Brillouin Zone.

View along \(a_1\).

Gap between Bands 13-14

Below is the band structure and isosurface of cF24–AgClO₄ (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.31\) and filling fraction \(\phi = 0.233\).

Band Structure across first Brillouin Zone.

View along \(a_1\).

Gap between Bands 18-19

Below is the band structure and isosurface of cF24–AgClO₄ (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.34\) and filling fraction \(\phi = 0.149\).

Band Structure across first Brillouin Zone.

View along \(a_1\).