The microscopic dielectric function of silver is investigated in the f
ramework of the time-dependent density-functional theory underlying a
spline augmented plane-wave band calculation. A reasonable overall agr
eement is found when comparing our results with experimental data. Sma
ll systematic errors in the position of the peaks can be ascribed to t
he local density approximation. It is shown that in the long-wave limi
t a zero of the diagonal element corresponds to a plasmon excitation.
The frequency of the q = 0 plasmon excitation agrees quite well with i
ts experimental value. No plasmon excitation can be found even for sme
ll values of the propagation vector.