Graphynes are a class of carbon allotropes that have attracted
considerable attention from researchers in recent years. These nanomaterials
are composed of $sp$- and $sp^{2}$-hybridized carbon atoms and are
conceptually constructed by inserting acetylenic bridges between the carbon
atoms of a fully $sp^{2}$ network. In this work, we propose two new two-
dimensional carbon systems based on the graphenylene (GP) network and
perform an investigation of the spin-polarized electronic properties of three
systems previously reported in the literature. GP is a fully-$sp^{2}$ lattice with
12 atoms and three different types of carbon bonds in its unit cell. The new
systems proposed here result from the insertion of acetylenic bridges (\(\cdots C
\equiv C \cdots\)) replacing some of the carbon–carbon bonds of the GP lattice.
We use computational simulations based on density functional theory (DFT) to
investigate its stability and electronic properties. Our results show that the
studied systems exhibit semiconducting behavior, making them promising
candidates for applications in nanoelectronics.