Radiative thermal emission from silicon nanoparticles: a reversed story from quantum to classical theory

Among the rush of papers published after the discovery of visible luminescence in porous silicon, a number of them claimed that an extraordinary behaviour had been found. However, after five years of struggling with increasingly sophisticated but not completely successful models, it was finally demonstrated that it was simply thermal radiation. Here, we calculate thermal radiation emitted by silicon nanoparticles when irradiated in vacuum with a laser beam. If one interprets this radiation as being photoluminescence, its properties appear extraordinary: non-exponential excitation and decay transients and a supralinear dependence on laser power. Within the (quantum) theory of photoluminescence, this behaviour can be interpreted as arising from a non-usual excitation mechanism known as multiphoton excitation. Although this erroneous interpretation has, to some extent, a predictive power, it is unable to give a sound explanation for the quenching of radiation when particles are not irradiated in vacuum but inside a gas. The real story of this error is presented both to achieve a deeper understanding of the radiative thermal emission of nanoparticles and as a matter of reflection on scientific activity.