The Zeeman effect has been studied in several rare-earth ions imbedded in lanthanide fluorides. A special cryostat has been constructed with two liquid-helium tanks. One, at 4 K, contains a superconducting coil giving magnetic fields as high as 60 kOe. The other, at 1.3 K, contains a Ge:Ga bolometer to detect far-infrared radiation. Large splittings, as high as 30

{cm}^{- 1}

, have been observed with

{Nd}^{3 +}

{Er}^{3 +}

, and

{Dy}^{3 +}

where the ground state is a Kramers doublet. For

\Pr^{3 +}

and

{Ho}^{3 +}

, which do not give Kramers doublets, the effect of a magnetic field is not so significant. The effect is negligible for

\Pr^{3 +}

. For

{Ho}^{3 +}

, a 3-

{cm}^{- 1}

shift and a line broadening are observed. On the other hand, whereas the spectra of Na

F_{3}

{Nd}^{3 +}

and Nd

F_{3}

are very similar, for Pr

F_{3}

a pair of ions seems to be present and gives twice as many electronic lines compared to Na

F_{3}

\Pr^{3 +}

. Localized modes are observed close to 73

{cm}^{- 1}

for both

{Er}^{3 +}

and

{Dy}^{3 +}

, while an absorption band is observed at 64

{cm}^{- 1}

for

{Dy}^{3 +}

which seems to be slightly sensitive to the magnetic field and has still to be explained. An average spectroscopic

g

value for the ground-state and first-excited-state Kramers doublet has been calculated for

{Nd}^{3 +}

{ER}^{3 +}

, and

{Dy}^{3 +}

. For the ground-state Kramers doublet, these values are well within the limits of the reported

g

tensor based upon ESR. For the first-excited-state Kramers doublet the determinations are, respectively,

g_{2} = 1.7, 3.6, and 11.5

and they constitute new data.

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