Neutron-rich ²⁶⁴Fm is an ideal cold fissioning nucleus leading to two identical doubly magic fragments ¹³²Sn. It posses the unique property of having a deep minimum of the shell correction energy at the same mass asymmetry η = 0 as the minimum of the LDM deformation energy. We illustrate this property by comparison with the superheavy nucleus ²⁹⁴118, the cluster emitter ²²²Ra and the light α-decaying nucleus ¹⁰⁶Te. On the other hand, it was experimentally proven that the most important yield in fission of charged metallic atomic clusters is usually obtained when the light fragment is a singly charged trimer (the analog of an α-particle with the magic number of delocalized electrons n_e = 2). Our calculations for the fission of Ag²⁺₁₂, as well as for the fission of Cs²⁺₂₄, Cs³⁺₄₅, Cs⁴⁺₆₄, Cs⁵⁺₉₉, Cs⁸⁺₂₀₈ and Cs¹⁰⁺₂₇₆ show that in this case both the shell corrections and the LDM deformation energy have minima at the same mass asymmetry which corresponds to the trimer emission. Consequently, charged metallic clusters are ideal emitters of α-clusters.