Diffusion coefficients for electrons pitch angle scattered by plasmaspheric hiss are reconsidered, as given by quasi-linear theory, overcoming practical problems in keeping high cyclotron harmonics n. Upper bounds are used to identify ranges of latitude, n, and wave-normal angle which give only negligible contributions, so that the detailed computation of these values may be avoided, resulting in large savings of computational effort. A simple way of obtaining precipitation lifetimes from the diffusion coefficients is also given, using a shooting method. The lifetimes and steady state fluxes are computed, leading to shorter lifetimes and lower fluxes than previously reported, for energies above 500 keV and McIlwain parameter L greater than 3. ¿ American Geophysical Union 1994