  Using the ETFSI (extended Thomas-Fermi plus Strutinsky integral) method, we
have calculated the fission barriers of nearly 2000 exotic nuclei, including
all the neutron-rich nuclei up to A=318 that are expected to be relevant to the
r-process, and all the superheavy nuclei in the vicinity of N=184, with Z<=120.
Our calculations were performed with the Skyrme force SkSC4, which was
determined in the ETFSI-1 mass fit. For proton-deficient nuclei in the region
of N=184 we find the barriers to be much higher than previously believed, which
suggests that the r-process path might continue to mass numbers well beyond
300. For the superheavy nuclei we typically find barrier heights of 6-7 MeV.
