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The deformation energy of the even-even nuclei of the Cerium isotopic chainis investigated by means of the Macroscopic-Microscopic method with asemi-classical shell correction. We consider axially symmetric shapes. Bindingenergy and two neutron separation energy are also evaluated. For the sake ofclarity several important details of the calculations are also given. It turnsout that all these nuclei have prolate equilibrium shape. The regions ofmaximum deformation are obtained around N=64 and N=102. There is nocritical-point of quantum phase transition in this isotopic chain.

Shape transition in the even-even Cerium isotopes