Investigation of the S(500) distribution for large air showers detected with the KASCADE-Grande array

Previous EAS investigations have shown that the charged particle density becomes independent of the primary mass at certain distances from the shower core and can be used as an estimator for the primary energy. In the context of the KASCADE-Grande experiment, the particular distance to shower core at which t his effect takes place is around 500 m, hence the study at this particular distance and the notation S(500) for the charged particle density. It has been shown that S(500) maps the primary energy. We present results of further investigations in this direction. An attenuation correction function can be derived from the S(500) attenuation with the EAS angle of incidence, allowing us to build an all event S(500) spectrum. In view of a future conversion of the recorded S(500) spectrum to the primary energy, based on simulations a calibration of the observed S(500) values with the primary energies has been worked out (in the energy range accessible to the KASCADE-Grande array, ).