  Despite the extensive applications of perovskite compounds, the precise
nature of non-Hermitian bonding in these materials remains poorly understood.
In this study, density functional theory calculations were performed to
determine the electronic structures of perovskite compounds. In particular, the
bandgaps of Ba$_2$ScNbO$_6$ and Ba$_2$LuNbO$_6$ were found to be 2.617 and
2.629 eV, respectively, and the deformation bond energies and non-Hermitian
bonding of these compounds were calculated. The relationship between the
non-Hermitian zeros of the O-Nb bond of Ba$_2$ScNbO$_6$ and the non-Hermitian
zeros of the Sc-O bond was found to be similar but with varying sizes. Further,
in-depth research on the non-Hermitian chemistry verified that precise control
of atomic bonding and electron states can be achieved, providing new insights
into the study of chemical bonds.
