An extension is presented to previous calculations of multiple scattering distributions obtained from Mueller's analytic scattering kernel fit corresponding to the Molière potential. In particular, both branches of the fit are used to allow a comparison with measurements on very thin, i.e. low pressure, gas targets. It is concluded that reasonable agreement is found for targets thick enough for Thomas-Fermi scaling to hold, and that accordingly, the Mueller fit provides a fair description even of relatively large impact scattering events.