As a next step we establish a to-do list of local atomic environments for which TS searches are to be performed. Each entry in this list consists of the total atomic configuration of the system and one highlighted atom within this configuration which exhibits the local atomic environment that is to be explored. The initial entries all concern the starting atomic configuration and have as highlighted atom one randomly chosen atom of each equivalence group. For one entry after another, a specified number of dimer searches is executed, each initialized by randomly perturbing the positions of all atoms within a sphere around the highlighted atom. We note that the APE package is constructed in a modular way and alternative onesided TS search algorithms like ARTn could equally be implemented and used. For each identified TS, local geometry optimization determines the final state (FS) structure, i.e. the system's atomic configuration after execution of the corresponding elementary process. Calculation of the local Hessian of all atoms within the finite sphere around the highlighted atom at initial state, TS and FS provides the prefactors ν i j and ν ji for the forward and backward process. Finally, the process data in form of initial and final total atomic configuration together with hTST forward and backward rate constant, k i j and k ji , are stored in an ever expanding identified-process list.