Sodium abundances have been determined for eight weak G-band giants wh
ose atmospheres are greatly enriched with products of the CN-cycling I
I-burning reactions. Systematic errors are minimized by comparing the
weak G-band giants to a sample of similar but normal giants. If, furth
er, Ca is selected as a reference element, model atmosphere-related er
rors should largely be removed. [Na/Ca] = 0.16 +/- 0.01, which is just
possibly greater than the result [Na/Ca] = 0.10 +/- 0.03 normal giant
s. This result demonstrates that the atmospheres of the weak G-band gi
ants are not seriously contaminated with products of ON cycling.