“…The simulated X-ray spectra also have been demonstrated to be effective for the determination of the electronic structures of many molecules, surfaces, clusters and bulk materials, such as DNAs, carbon nanotubes, fullerenes, etc. [59][60][61][62][63] The XES spectra have been performed by using the tool package BIONANO LEGO 64 at the B3LYP 42,43 /6-31G level with the group theory formulation developed by Luo et al 32,65 X-ray emission spectroscopy, which can provide information about the valence occupied orbitals, is composed of the radiative decay of valence electron into a core hole. Central insertion scheme (CIS) method 32,66 and a category of Krylov subspace methods 67 are applied to the BIONANO LEGO soware.…”