tI12-BPO4 (Inverse)

tI12–BPO₄ (Inverse)

Image of tI12–BPO₄ (Inverse), generated by Vesta

Lattice Vectors:

\[\begin{split}a_1 &= -0.4794956779~\hat{x} + 0.4794956779~\hat{y} + 0.7349610804~\hat{z}\\ a_2 &= 0.4794956779~\hat{x} - 0.4794956779~\hat{y} + 0.7349610804~\hat{z}\\ a_3 &= 0.4794956779~\hat{x} + 0.4794956779~\hat{y} - 0.7349610804~\hat{z}\\\end{split}\]

Space Group: 82

Point Group of Structure: \(\bar{4}\)

Structure DOI: https://doi.org/10.17188/1207092

Photonics DOI: Gap(s) for space group 82 above band 2 theorized in: https://doi.org/10.1103/PhysRevLett.121.263903

Source: Crystallographic Open Database #1010299

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 2-3

Below is the band structure and isosurface of tI12–BPO₄ (Inverse) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.35\) and filling fraction \(\phi = 0.154\).

Band Structure across first Brillouin Zone.

View along \(a_1\).