This paper deals with a theoretical model which describes the effect o
f Majorana transitions on the frequency of a cesium atomic clock. In c
ontrast to the explanations given in the past, the phase correlation b
etween the individual successive excitations in inhomogeneous magnetic
fields and the microwave resonator are for the first time taken into
account. The pi transitions with the selection rule DELTAF = 1, DELTAm
= +/- 1 are of particular importance. The theory allows experimental
results obtained in the past with the CSX apparatus, in particular the
large frequency shifts observed, to be interpreted. The effect on the
determination of the uncertainty of primary atomic clocks will be dis
cussed.