An accelerator-driven thermal neutron facility for boron neutron capture therapy of skin melanoma is currently under construction at the Legnaro National Laboratories, Italy. The installation relies on the production of neutrons from a thick beryllium target bombarded with 5 MeV protons. A complete set of double differential data, i.e. angle- and energy-differential neutron spectra produced by the beryllium target, is necessary for the Monte Carlo-based design of the installation. For this purpose, double differential fluence measurements are currently performed with the “BINS” neutron spectrometer using 5 MeV protons at the “CN” Van de Graaf accelerator. This spectrometer uses a superheated emulsion of dichlorotetrafluoroethane which is sequentially operated at 25, 30, 35, 40, 45, 50 and 55 °C and thus provides a series of seven sharp thresholds covering the 0.1–10 MeV neutron energy interval. Deconvolution of the data is performed with the code “MAXED”, which is based on the maximum entropy principle. The analysis of our first neutron spectrometry measurements at angles of 0°, 40°, 80° and 120° supports the viability of the BINS spectrometry method for the generation of the required double differential data.