We consider the molecular weight distribution of dendrimer macromolecu
les when some segments do not survive to produce ''offspring''. The Fo
urier transform of the molecular weight distribution, and therefore th
e number- and weight-average molecular weights, can be computed using
numerically exact recursion formulas. We examine a few special cases a
nd find, for example, that very narrow molecular weight distributions
are obtainable by making the molecule as perfect as possible in the ea
rly generations and that it is theoretically possible to construct lar
ge dendrimers with arbitrary molecular weights different from the valu
es expected for perfect dendrimers, that nevertheless have effectively
monodisperse molecular weight distributions.