Hyperfine characteristics of quantum registers NV-$^{13}$С in diamond nanocrystals formed by seeding approach from isotopic aza-adamantane and methyl-aza-adamanthane

We predict the characteristics of hyperfine interactions $(hfi)$ for a number of electron-nuclear spin systems NV-$^{13}$С in diamonds grown by seeding approach from the specific isotopic aza-adamantane or methyl-aza-adamantane molecules differing in $^{13}$C position in the precursor as well as in the orientation of the NV center in the post-obtained diamond. For the purpose we have used the spatial and $hfi$ data simulated previously for the cluster C$_{510}$ [NV]$^-$H$_{252}$. The data obtained can be used to identify (and correlate with the precursor used) the specific NV-$^{13}$С spin system by measuring the $hfi$-induced splitting in optically detected magnetic resonance spectra being characteristic for the NV-$^{13}$С system.