It is shown that the main origin of the hyperfine field at B nuclei in CeB6
is the transferred hyperfine interaction of the nuclear moment with the el
ectronic spin carried by the electrons in the 2s and 2p states of the B ion
hybridized with the 4f states of neighboring Ce ions. The dipole-dipole in
teraction with the magnetic moments of Ce ions also contributes substantial
ly. In the antiferro-quadrupolar ordering phase II, it is essential Co assu
me tie ordering of Gamma(5)-type moments. The reason why the RKKY interacti
on between the Gamma(5)-type quadrupole moments is strongest is also discus
sed. on the basis of the estimate of the strength of p-f mixing which plays
a vital role in many respects in CeB6.