Tracking the thermal evolution of plasmas , characterized by an n - distribution , using numerical simulations , requires the determination of the emission spectra and of the radiative losses due to free-free emission from the corresponding temperature averaged and total Gaunt factors . Detailed calculations of the latter are presented , associated to n - distributed electrons with the parameter n ranging from 1 ( corresponding to the Maxwell-Boltzmann distribution ) to 100 . The temperature averaged and total Gaunt factors , with decreasing n tend to those obtained with the Maxwell-Boltzmann distribution . Radiative losses due to free-free emission in a plasma evolving under collisional ionization equilibrium conditions and composed by H , He , C , N , O , Ne , Mg , Si , S , and Fe ions , are presented . These losses decrease with the decrease in the parameter n reaching a minimum when n = 1 , and , thus converging to the losses of a thermal plasma . Tables of the thermal averaged and total Gaunt factors calculated for n distributions and a wide range electron and photon energies are presented .