In this section, we present studies of nonadiabatic dynamics in different molecular models exploring the performance of CTMQC-E imposing energy conservation when CTMQC fails doing so. Our main findings are summarized in Table . In the table we report the name of the molecular model that will be presented in the first column, i.e. BMA, butatriene cation and pyrazine (section III A), PSB3 (section III B) and uracil radical cation (section III C). The following columns are the total nuclear masses, the number of the nuclear degrees of freedom and the length of the simulations. Over those propagation times we observe a certain deviation (∆E) of the total energy for a CTMQC dynamics which is strongly reduced by CTMQC-E. To quantify the improvement of the energy conservation we compute (∆E(CTMQC) -∆E(CTMQC -E) /∆E(CTMQC) to estimate the relative improvement of CTMQC-E over CTMQC, which is given in the last column of the table. In the following sections, we will give an overview of various observables affected by the correction proposed in CTMQC-E.