We present an accurate calculation of the intensity of the second harm
onic radiation generated by the reflection of the incident radiation f
rom a metal surface, This radiation is due to two currents, The first
current results from the rapid variation of the normal component of th
e oscillating electric field in the vicinity of the surface and depend
s on both conduction and bound electrons, The second one results from
the action of the Lorentz force on conduction electrons, We show that
if the adiabatic and the Thomas-Fermi assumptions are considered, then
an accurate calculation of these currents is possible and leads to a
simple relation of the intensity of the second harmonic radiation.