A precision measurement of the 126 Cs(T 1/2 =1.63m) hfs separation ∆ν in the ground 6s 2 S 1/2 state was obtained by means of atomic beam magnetic resonance on-line with the CERN-PSB-ISOLDE mass separator. The result is ∆ν=3629.514 (0.001)MHz. The ultimate goal is a systematic study of the influence of extended nuclear structure on hfs (BohrWeisskopf effect). These hfs data can serve to gain knowledge of neutron distributions, of recent interest in nuclear astrophysics and parity non-conservation effects in atomic interactions.