In this work, nuclear shell model was applied using modified surface delta-interaction to calculate, in particle-hole state, the energy levels of isobar nuclei 40 Sc and 40 K. Particles are in the model space (1f 7/2 ) while the holes are found in the model space (1d 3/2 , 1s 1/2 , 1d 5/2 ). The total angular momentum and parity are identified for possible particles and holes in nuclei above. Thus, we have used a theoretical study to find relationship between energy levels and the semiclassical coupling angle θ 1 , 2 at different orbitals within particle-hole configuration. We notice the energy levels seem to follow two universal functions which depend on the semi-classical coupling angles θ 1,2 . We found the theoretical data agree to the experimental data.