cP4-Cu3N (Direct)

cP4–Cu₃N (Direct)

Image of cP4–Cu₃N (Direct), generated by Vesta

Lattice Vectors:

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

Space Group: 221

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

Structure DOI: https://doi.org/10.1016/j.ssc.2010.06.012

Photonics DOI: Gap(s) for space group 221 above band 2 theorized in: https://doi.org/10.1103/PhysRevLett.121.263903,

Gap(s) above band(s) 14 not previously studied

Source: Inorganic Crystallographic Database #167836

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 between Bands 2-3

Below is the band structure and isosurface of cP4–Cu₃N (Direct) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.275\) and filling fraction \(\phi = 0.342\).

Band Structure across first Brillouin Zone.

View rotated \(45^{\circ}\) about \(a_3\) and elevated \(0^{\circ}\).

Gap between Bands 14-15

Below is the band structure and isosurface of cP4–Cu₃N (Direct) at dielectric contrast \(\varepsilon = 16\), radius \(r = 0.2\) and filling fraction \(\phi = 0.134\).

Band Structure across first Brillouin Zone.

View along \(a_1\).