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deformation energy) obtained in the finite-range droplet model. For intermediate and known heavy nuclei, the results of the two approaches are comparable and both of them reproduce the known magic numbers very well. The deviations are large for light nuclei and super- heavy nuclei. Our calculations show that the shell corrections of nuclei with about N = 16 are much larger (in absolute value) than those from the FRDM. As an example, the shell correction of $^{24}$O is calculated and has a value of − 4 . 6 MeV with WS. Experimentally, it is thought that $^{24}$O is a doubly magic nucleus from the observed decay energy spectrum and the high-lying first excited 2 + state (above 4.7 MeV) [26], which is consistent with our calculations. The obtained shell corrections with WS for $^{20}$C, $^{22}$C [27] and $^{23}$N are − 4 . 2, − 5 . 1 and − 4 . 3 MeV, respectively. Some theoretical and empirical studies [26, 28] have shown that in the neutron-rich nuclei the magic numbers such as N = 14 or 16 can arise, which is in agreement with our calculations. It is known that the shell correction strongly depends on the single particle potential adopted. The isotopic dependence of the spin-orbit strength and the symmetry potential adopted in this work is different from that in the FRDM, which leads to the different shell correction from the two models. Our results for the neutron-rich nuclei with about N = 16 look more reasonable qualitatively. 

To further test the model, we study the potential energy surface E ( β$_{2}$, β$_{4}$ ) of some nuclei. 

