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We study a global nuclear structure in the framework of experimentalobservables. With the aid of large nuclear structure data at the nationalnuclear data center, NNDC, we present the distinctive systematic patternsemerged in the first 2+ excited energies, E(2+) and their energy ratios to thefirst 4+ levels, R = E(4+)/E(2+), in the even-even nuclei, over 50 < Z < 82 forprotons, and 50 < N < 126 for neutrons. We introduce the so-called pseudo-shellconfigurations from the subshells mixture in order to explain a semi-doubleshell closure, a shape phase transition, and a reinforced deformation. It isfound that the reinforced deformation arises when Z = 64 or 66 correlates withN = 90 and reaches its maximum, indicating R = 3.3. Such a saturated reinforceddeformation spans over Z = 58 to 72 and N = 100 to 106 as showing its center atZ = 64 or 66 and at N = 102 or 104. We define this reinforced deformation 'aferro-deformation' like a ferro-magnetism in condensed matter physics. Theshape coexistence would be expected to occur, such as a ferro-deformation, witha strong rotational mode, and a near spherical shape, with a vibrational mode,at the critical points of Z = 64 or 66, with N = 88 and 90; 150Sm and 152Sm,152Gd and 154Gd, and 154Dy and 156Dy. We suggest that a super-deformation,which can be formed at high-lying excited states in a moderate deformednucleus, would correspond to the ferro-deformation at N = 88 for the nuclei;Sm, Gd, and Dy. We argue that the ferro-deformation can be closely associatedwith a strong spin-orbital interaction between neutrons and protons in thespin-orbit doublet, h9/2-h11/2, leading to the critical points at Z, N = 64,104.

Ferro-deformation and shape phase transitions over the nuclear chart: 50 < protons (Z) < 82 and 50 < neutrons (N) < 126