A new synthetic model for asymptotic giant branch stars

We present a synthetic model for thermally pulsing asymptotic giant branch (TPAGB) evolution constructed by fitting expressions to full evolutionary models in the metallicity range 0.0001less than or equal toZless than or equal to0.02. Our model includes parametrizations of third dredge-up and hot-bottom burning with mass and metallicity. The Large Magellanic Cloud and Small Magellanic Cloud carbon star luminosity functions are used to calibrate third dredge-up. We calculate yields appropriate for galactic chemical evolution models for H-1, He-4, C-12, C-13, N-14, N-15, O-16 and O-17. The initial-final mass relation is examined for our stars and found to fit to within 0.1 M-circle dot of the observations. We also reproduce well the white dwarf mass function for masses above about 0.58 M-circle dot. The new model is to be implemented in a rapid binary star evolution code.