A calculation of the electronic response of alkali metal clusters is c
arried cut in the Adiabatic Time-Dependent Local Density Approximation
, The role played by the ionic structure is investigated in the framew
ork of second-order pseudopotential perturbation theory. The calculati
ons are carried out at different temperatures, and the effect of tempe
rature in the decay of the collective excitations is analyzed. It is f
ound that the coupling of the electrons to the thermal vibrations of t
he ions accounts for the width of the plasmon resonances.