We present an empirical model of global exospheric temperatures and densities of neutral constituents, based on data from 228 geomagnetically quiet days during the operation of the Esro 4 gas analyzer (mean Ap=7). By means of an expansion in spherical harmonics he model infers exospheric temperatures from both the measured N2 and Ar densities. O and He densities are presented as extrapolated density distributions at 120 km altitude. The Esro 4 model complements the similar Ogo 6 mass spectrometer model with observations at considerably lower altitudes (240-320 km) and lower levels of solar activity (F10.7=92). Inferred exospheric temperatures are typically 5-9% below Ogo 6 model values for F10.7=120.