In general chemistry we often encounter $\ce{H3PO4}$, which got me wondering if I can replace the $\ce{P}$ in $\ce{H3PO4}$ with $\ce{N}$ giving us $\ce{H3NO4}$ , does such a compound exist?
Both phosphorous and nitrogen are in group 15 in the periodic table implying they have same number of valence electrons making the lewis structures for both $\ce{H3NO4}$ and $\ce{H3PO4}$ the same with octet configuration.
I do notice compounds exist which do not follow the octet rule (eg: $\ce{S}$ in $\ce{SO3}$) which makes the octet rule wrong but still why do we not find $\ce{NO4-}$ ions in nature?
Possibly helpful info: As far as I know $\ce{H3NO4}$ has never been observed in real life but $\ce{Na3NO4}$ has been observed.
The compound forms white crystals that are very sensitive to atmospheric moisture and $\ce{CO2}$:
X-ray structural analyses have shown that the $\ce{NO4^3-}$ ion has regular $T_d$ (op note: $T_d$ means tetrahedral I think) symmetry with the unexpectedly small N - O distance of 139pm. This suggests that substantial polar interactions are superimposed on the N - O single bonds since the $d_\pi$ orbitals on N are too high in energy to contribute significantly to multiple covalent bonding. It further implies that $d_\pi$-$p_\pi$ interactions need not necessarily be invoked to explain the observed short interatomic distance in the isoelectronic oxoanions $\ce{PO4^3-}$, $\ce{SO4^3-}$ and $\ce{ClO4^-}$. [source, page 472]
But how did they observe $\ce{Na3NO4}$ was present? In the above book's link a source was mentioned: https://onlinelibrary.wiley.com/doi/epdf/10.1002/anie.197705341. This source's abstract says
The existence of the $\ce{NO4^3-}$ ion has now been proved by Raman spectroscopy. X-ray structure analysis has so far been precluded by the non-availability of single crystals of the extremely moisture- and $\ce{CO2}$-sensitive compound $\ce{Na3NO4}$.