This work analyses the $\alpha$ decay properties of actinides. Geiger–Nuttall plots are presented for actinides. We have studied the competition between $\alpha$ decay and spontaneous fission and have identified the dominant decay mode. The results have been compared with experiments and they agree well with those of the experiments.

The empirical formulae for an average total kinetic energy released during the symmetric and asymmetric fission has been estimated by considering the recently available experimental data. An empirical formulae is deduced by the systematic variation of $\langle$E$_K$$\rangle$ with Z$^2$/A$^{1/3}$. The least-square analysis of symmetricfission yields $\langle$E$_K$$\rangle$ = 0.12014(Z$^2$/A$^{1/3}$) + 5.99 MeV in the atomic number range 23 ≤ Z ≤ 120 and mass number range 46 ≤ A ≤ 302, whereas asymmetric fission yields $\langle$E$_K$$\rangle$ = 0.1367(Z$^2$/A$^{1/3}$) − 18.94 MeV in the atomic number range 78 ≤ Z ≤ 102 and mass number range 178 ≤ A ≤ 258. The root mean square error (RMSE) values are smaller than the previous systematics. The covariance of matrix and its parameters are evaluated both in symmetric and asymmetric fission of the nuclei along with the error band.