We have measured the spectral position of the absorption minimum in a coher
ent population trapping resonance in thermal cesium vapor as a function of
light intensity. The dependence of position on intensity is found to be alm
ost linear. We have furthermore studied the dependence of this light shift
on neon buffer gas pressure and find a strong reduction for higher pressure
s. So the addition of a buffer gas not only reduces the linewidth of the re
sonance but also a very important systematic effect for precision measureme
nts.