Abstract
The accurate calculations of the cluster formation model (CFM) have been extended to determine the alpha cluster preformation probability for the three even-even superheavy isotopes (Hs, Ds and Cn) with atomic number Z = 108, 110 and 112 and neutron numbers 144 <= N <= 188 in the mass region from 252 to 300. According to the hypothesized CFM, the calculations of the formation energy and surface energy, which depended on differences of binding energies are crucial for determining the realistic values of the preformation probability. Our results showed reasonable agreement with the results of previous work for the heavy nuclei. In addition, realistic values of the preformation probability certified that CFM can successfully be used to calculate the alpha cluster preformation probability for other wide range of superheavy nuclei.