tI12-PNO (Direct)

tI12–PNO (Direct)

../_images/structure198.jpg

Image of tI12–PNO (Direct), generated by Vesta

Lattice Vectors:

\[\begin{split}a_1 &= -0.4821550576~\hat{x} + 0.4821550576~\hat{y} + 0.7314731717~\hat{z}\\ a_2 &= 0.4821550576~\hat{x} - 0.4821550576~\hat{y} + 0.7314731717~\hat{z}\\ a_3 &= 0.4821550576~\hat{x} + 0.4821550576~\hat{y} - 0.7314731717~\hat{z}\\\end{split}\]

Space Group: 122

Point Group of Structure: \(\bar{42}m\)

Structure DOI: https://doi.org/10.1107/S205698901501899X

Photonics DOI: Gap(s) for space group 122 above band 2 theorized in: https://doi.org/10.1103/PhysRevLett.121.263903

Source: Crystallographic Open Database #2241204

MPB Epsilon Input File: Download

Gap Atlas for \(\varepsilon = 16\)

../_images/gap_atlas-16195.png

Gap Atlas for \(\varepsilon\) = 16 across filling fraction \(\phi\) and frequency \(\omega\).

Gap Atlas for \(\varepsilon = 14\)

../_images/gap_atlas-14196.png

Gap Atlas for \(\varepsilon\) = 14 across filling fraction \(\phi\) and frequency \(\omega\).

Gap Atlas for \(\varepsilon = 12\)

../_images/gap_atlas-12161.png

Gap Atlas for \(\varepsilon\) = 12 across filling fraction \(\phi\) and frequency \(\omega\).

Gap Atlas for \(\varepsilon = 10\)

../_images/gap_atlas-10127.png

Gap Atlas for \(\varepsilon\) = 10 across filling fraction \(\phi\) and frequency \(\omega\).

Gap Atlas for \(\varepsilon = 8\)

../_images/gap_atlas-875.png

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

Gap Atlas for \(\varepsilon = 6\)

../_images/gap_atlas-640.png

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

Gap Atlas for \(\varepsilon = 4\)

../_images/gap_atlas-427.png

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–PNO (Direct) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.2\) and filling fraction \(\phi = 0.279\).

../_images/band_diagram_b=220.jpg

Band Structure across first Brillouin Zone.

../_images/tI12-PNO@gap_2-3.png

View along \(a_1\).