Abstract:Due to the fact that accurate Rydberg state atomic energy level data have an important application value for understanding atomic structural properties and interpreting spectral data, based on the weakest constrained electron potential model, the energy levels and quantum defects have been calculated of three odd parity Rydberg series for the 1s22s22p3(4So)ns 5S2o (n=3~50), 1s22s22p3(4So)ns 3S1o (n=3~50) and 1s22s22p3(4So)nd 3D1o (n=3~50). Specifically, the spectral coefficients of each Rydberg series are determined according to Martin, s formula, with the quantum deficit and energy values of the Rydberg energy levels calculated accordingly, followed by a further inquiry into the relationship between quantum deficit and the principal quantum number n. The calculated results exhibit a high degree of consistency with the existing experimental data, with deviations no greater than 10 cm-1. As the principal quantum number (n) increases, the penetration degree of s-orbital electrons decreases, while that of d-orbital electrons increases. The WBEPM method helps to accurately calculate the energy levels of high-n Rydberg atomic systems without being limited by the number of electrons.