There is now evidence, ranging in quality from very strong to marginal
, for the existence in early solar system material of ten radionuclide
s with mean lives long enough for them to be incorporated live in our
planetary system but not long enough to be live at the present time. O
f these ten, one (Pu-244) is unquestionably an r-process product, and
four (Cs-135, Pd-107, I-129, and Hf-182) might in principle have been
made by either the r-process or the s-process. One of us has construct
ed a model for the history of the local part of the galaxy into which
the abundances of the ten extinct nuclides can be fitted. The purpose
of the present paper is to explain in greater detail the reasoning tha
t has led to the assignment of I-129 to the r-process and the assignme
nt of the others to the s-process. These latter assignments do not cor
respond to the traditional assignments of these nuclides as primarily
r-process products. It is shown that most of the so-called r-process i
sobars in the solar system abundance table can have s-process contribu
tions in lower mass AGB stars where peak neutron number densities of 3
x 10(9) to 3 x 10(10) cm-3 are expected during helium shell flashes.