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In this study we present a theoretical investigation of structural,electronic and mechanical properties of pentagonal monolayers of carbon(p-graphene), boron nitride (p-B$_{2}$N$_{4}$ and p-B$_{4}$N$_{2}$) and silverazide (p-AgN$_{3}$) by performing state-of-the-art first principlescalculations. Our total energy calculations suggest feasible formation ofmonolayer crystal structures composed entirely of pentagons. In addition,electronic band dispersion calculations indicate that while p-graphene andp-AgN$_{3}$ are semiconductors with indirect bandgaps, p-BN structures displaymetallic behavior. We also investigate the mechanical properties (in-planestiffness and the Poisson's ratio) of four different pentagonal structuresunder uniaxial strain. p-graphene is found to have the highest stiffness valueand the corresponding Poisson's ratio is found to be negative. Similarly,p-B$_{2}$N$_{4}$ and p-B$_{4}$N$_{2}$ have negative Poisson's ratio values. Onthe other hand, the p-AgN$_{3}$ has a large and positive Poisson's ratio. Indynamical stability tests based on calculated phonon spectra of thesepentagonal monolayers, we find that only p-graphene and p-B$_{2}$N$_{4}$ arestable, but p-AgN$_{3}$ and p-B$_{4}$N$_{2}$ are vulnerable against vibrationalexcitations.

Pentagonal Monolayer Crystals of Carbon, Boron Nitride, and Silver Azide