  Let $G $ be a graph on $p$ vertices with adjacency matrix $A(G)$ and degree
matrix $D(G)$. For each $\alpha \in [0, 1]$, the $A_\alpha$-matrix is defined
as $A_\alpha (G) = \alpha D(G) + (1 - \alpha)A(G)$. In this paper, we compute
the $A_\alpha$-characteristic polynomial, $A_\alpha$-spectra and
$A_\alpha$-energy of some non-regular graphs obtained from unary operations on
graphs like middle graph, central graph, m-splitting, and closed splitting
graph. Also, we determine the $A_\alpha$-energy of regular graphs like
m-shadow, closed shadow, extended bipartite double graph, iterated line graph
and m-duplicate graph. Furthermore, we identified some graphs that are
$A_\alpha$-equieneregetic and $A_\alpha$-borderenergetic.
