With the use of a spinfilter as the most important component of a Lamb-shift polarimeter, a beam of metastable atoms in one hyperfine state (alpha 1 or alpha 2) can be produced. By induced transitions it seems possible to observe any transition between the 2S(1/2) metastable hyperfine states or into the short-lived states 2P(1/2) and 2P(3/2) of the hydrogen (deuterium) atom separately as a function of the magnetic field. According to our estimate, the Breit-Rabi diagrams for these states can be measured with a precison of about 1 kHz (4.2 x 10(-12) eV) or even better. Furthermore, the hyperfine splittings and the Lamb shift can be observed as well.