It has been observed in the past that the computer time required for the numerical solution of the transport equation has been almost prohibitive for many problems of interest. Results of a study designed to improve the convergence rate of the angular segmentation or Sn method are presented. Examples showing the effect of several different modifications of the standard Sn method are given. It is recommended that the incorporation of the modification discussed will significantly improve the convergence of the Sn method and permit an efficient solution of many problems related to thermal assemblies.