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The program SIGMA 1 is designed to Doppler-broaden and/or thin tabulate pointwise cross sections in the ENDF/B BCD format. The broadening is performed from an initial (not necessarily O deg K) temperature to up to 100 final temperatures. Each section of File 3 is assumed to be a linear--linear table of poirtwise cross section vs energy. The program is written entirely in FORTRAN IV, and has been implemerted on the CDC 6600/ 7600 and IBM 360. The program requires the following units: input, output, the original data, the broadened data, and two scratch files. Core requirement on the CDC 7600 is 20 K, and the time required to Doppler-broaden /sup 238/U from 0% deg K to 293 deg K is 45 seconds of CDC 7600 time. Input and output for a sample problem are shown. (1 figure) (RWR).