We calculate the smoothed energy by using the smoothed level density in Eq.(9) : The smoothed Fermi-level ˜ λ is calculated from the condition that the number of neutrons and protons, i.e. the particle number is given: The smoothed Fermi-level ˜ λ is different from the Fermi-level λ because the level density has been modified by the smoothing. Strutinski used a smoothing function with a Gaussian a weight function and it can be shown that the curvature correction polynomials for a weight function of Gaussian shape are the associated Laguerre-polynomials Therefore, in the standard Strutinski method the smoothing function is For nuclei lying on the bottom of the stability valley the single particle potential can be approximated by a simple harmonic oscillator (h.o.) form. For a nucleus with mass number A the distance of consecutive shells can be expressed by the well known rule [20] Shell structure of this simple h.o. model is modified by the presence of the spin-orbit interaction and also by the non-spherical shape of deformed nuclei but the quantity in Eq.(18) is still serves as a reasonably good measure for the shell structure. An attractive feature of ˜ E = ∫ ˜ λ −∞ ϵ ˜ g ( ϵ ) dϵ . (13) N = ∫ ˜ λ −∞ ˜ g ( ϵ ) dϵ . (14) w ( x ) = 1 √$_{π}$ exp( − x $^{2}$) , (15) h$_{p}$ ( x ) = L 1 / 2 p/ $_{2}$( x $^{2}$) . (16) f$_{p}$ ( x ) = 1 √$_{π}$ exp( − x $^{2}$) L 1 / 2 p/ $_{2}$( x $^{2}$) . (17) ℏ Ω$_{0}$ = 41 A − 1 / 3 [ MeV ] . (18) 6 III. STANDARD STRUTINSKI METHOD WITH PLATEAU CONDITION