New recent experimental α-decay half-lives have been compared with the results obtained from previously proposed formulae depending only on the mass and charge numbers of the α emitter and the Qα value. For the heaviest nuclei they are also compared with calculations using the DensityDependent M3Y (DDM3Y) effective interaction and the Viola-Seaborg-Sobiczewski (VSS) formulae. The correct agreement allows to provide predictions for the α decay half-lives of other still unknown superheavy nuclei from these analytic formulae using the extrapolated Qα of Audi, Wapstra The α decay process was described in 1928 [2,3] in terms of a quantum tunnelling through the potential barrier separating the mother nucleus energy and the total energy of the separated α particle and daughter nucleus. To describe the α emission two different approaches have been developed. The cluster-like theories suppose that the α particle is preformed in the nucleus with a certain preformation factor while the fission-like approaches consider that the α particle is formed progressively during the very asymmetric fission of the parent nucleus. The experimental investigation cannot unambiguously distinguish these two formation modes. However the possible one-body configurations play a minor role since in the quasi-molecular decay path investigated in the α decay process the potential barrier is governed by the balance between the repulsive Coulomb forces and the attractive proximity forces and the Q α value; consequently the barrier top is more external and lower than the pure Coulomb barrier and corresponds to two separated fragments. The difference between the two approaches appears mainly in the way the decay constant is determined. In the unified fission models [4,5] the decay constant λ is the product of the constant assault frequency ν 0 and the barrier penetrability P while in the preformed cluster models [6,7] a third factor is introduced : the cluster preformation probability P 0 .Before the theoretical explanation and description of the α decay process, Geiger and Nuttal [8] observed a dependence of the α decay partial half-life T expt 1/2,α on the mean α particle range for a fixed radioactive family and Geiger-Nuttal plots are now an expression of log 10 T α as a function of ZQ −1/2 . Since, different new relations have been proposed [5,9,10,11,12,13] to calculate log 10 T α from the measured kinetic energy of the α particle via [14,15,16,17,18,19,20]. These recent experimental results have led to new theoretical studies on the α decay; for example within the relativistic mean field theory [21], the DDM3Y interaction [22,23], the generalized liquid drop model (GLDM) [24,25] and SkyrmeHartree-Fock mean-field model [26]. The predicted halflives against α decay of these transuranium nuclei obtained with a semiempirical formula taking into account the magic numbers have also been compared with the analytical superasymmetric fission model results and the universal curves and the experimental data [13].In previous studies [5,27] both theoretic...