The extraction of source radii from heavy-ion collisions using coalesc
ence models is explored. A new prescription is presented which conside
rs nucleosynthesis via the coalescence of fragments which is, in parti
cular, more appropriate for intermediate-energy collisions than the pr
evious nucleon coalescence prescriptions. This fragment coalescence mo
del provides an avenue for viewing the breakup stage of heavy-ion reac
tions that yields valuable complimentary information to two-nucleon an
d two-fragment correlation measurements. This model was applied to rec
ent experimental data on central 55 and 115 MeV/nucleon Ar-40+Sc-45 co
llisions studied at midrapidity. Source radii are presented versus the
transverse velocity for six different coalescence channels leading to
charge one, two, and three fragments. Particular attention is paid to
the temperature input in the model, as the extracted radii depend sig
nificantly on this parameter. A means of extracting the temperature fr
om experimental data using the present model is described. Comparisons
to the two temperature-dependent nucleon coalescence models will also
be discussed.