A case of orographic precipitation in the Alps on 20 September 1999 was studied using several models, along with rain-gauge and radar data. The objective of the study is to describe the orographic transformation of an air mass, including multi-scale aspects. Several new and some conventional diagnostic quantities are estimated, including drying ratio, precipitation efficiency, buoyancy work, condensed-water residence time, parcel changes in heat, moisture and altitude, and dominant space- ...