Using the decay of 16.1-day Rh 99 , the half-life of the 90-keV state in Ru" has been measured by observing delayed coincidences for the (354-90)-and the (529-90)-keV cascades. The result, h/2= (20.7=fc0.3) nsec, is very suitable for a measurement of the Larmor precession in this level by means of the time-differential angular-correlation technique. To overcome the difficult problem of correcting for paramagnetic shielding, the g factor was determined with the Ru atoms in three magnetically different environments: (1) with a liquid source, (2) with Ru embedded in a copper lattice, and (3) with Ru dissolved in Ni. In the last case the product gH e H was measured as a function of an external polarizing field, yielding both the g factor and the magnetic hyperfine field of Ru in Ni. The method of using cubic metal lattices [case (2) above] is demonstrated to be a reliable way of measuring g factors of excited nuclear states, as there are no interfering perturbation effects due to time-dependent and/or static quadrupole interactions. The final result for the g factor is g= -0.189±0.004, which gives, with a spin of § for the 90-keV level, a magnetic moment of JJL=-0.284±0.006 nm. Paramagnetic shielding in liquid sources of transition elements is discussed, and g factors previously determined for such sources are shown to be in doubt by 5 to 10%.