A significant amount of radioactivity is pro-duced via secondary nuclear reactions in the water which circulates through the core of a power reactor. The most important reactions are those which produce positron emitters, namely 16(p,α)13N and 11B(a,α)13N which are endoergic, and 18O(p,n)18F which is exoergic. The production of positron-emitting nuclides is of particular significance in the case of boiling water reactors. In such reactors, noncondensibles and steam, which are continually vented from the condenser, may contain appreciable amounts of 13N. The production rates for 18N and 18F have been calculated in the case of a 3250-MW(th) reactor using a simple model for the energy dependence of the neutron and proton fluxes and literature values of the cross sections. The resultant production rates are 2.39 × 1012 at./sec for 13N, and 7.65 × 1011 at./sec for 18F. These productions are in good agreement with measured values of the production rates when the latter are scaled up to 3250 MW(th). Nitrogen-13 release rates scale to be ∼3 mCi/sec, whereas the calculated production rate corresponds to 75 mCi/sec. The difference is probably due to the efficient removal of 13N by the anion exchanges.