The cohesion mechanism of cubic approximant crystals in newly discovered bi
nary quasicrystals, Cd6M (M = Yb or Ca), is studied theoretically. It is fo
und that stabilization due to alloying is obtained if M is an element with
low-lying unoccupied d states. This leads to the conclusion that the cohesi
on of Cd-based compounds is due to hybridization of the d states of Yb and
Ca with a wide sp band. The Hume-Rothery mechanism does not play a principa
l role in the stability because neither a distinct pseudogap nor stabilizat
ion due to alloying is obtained for isostructural Cd-Mg. In addition to the
electronic origin, matching of the atomic size is very crucial for quasicr
ystal formation in Cd-based compounds.