MODIFIED ATOMIC ORBITAL THEORY APPLIED TO THE STUDY OF (3D94S 3D3,2,1) NP AND THE (3D94S 1D2) NP RYDBERG SERIES OF CU-LIKE ZN+

Precise values of high-lying resonance energies have been determined for the Rydberg series (3d9 4s 3D3,2,1)np and (3d94s 1D2)np (n ranging from 5 to 45), originating from the ground state (3d104s 1S1/2) of the Culike Zn ion. These calculations were carried out within the framework of the Modified Atomic Orbital Theory (MAOT) method.The results show excellent agreement with high resolution measurements performe d at ALS, as well as with calculations obtained using the DARC codes (Dirac Atomic R-matrix Codes) (Hinojoha et al., MNRAS, 470, 4048 (2017)).The analysis is based both on standard quantum defect theory and on the MAOT procedure, which relies on the calculation of the effective charge. The study highlights the relevance of the MAOT method in complementing experimental data, particularly for the accurate identification of narrow resonance energies affected by overlapping spectral peaks.Finally, new accurate resonance energies for high-lying levels (n=16-45) are proposed as benchmark data to aid in the interpretation of spectra from trans-iron elements in astrophysical environments.This comparison strengthens confidence in the available experimental and theoretical data.These data will contribute significantl y to improving fundamental atomic databases of elements, providing val uable references for future studies and potential astrophysical applicatio ns.