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The large magnetic fields that act on fast-moving ions traversing thin magnetized Fe foils were utilized to remeasure the magnetic moments of the first excited 2+ states of "Fe and ' Fe. The technique reported here does not require an accurate knowledge of the nuclear lifetime and does not depend on the static magnetic field of Fe in Fe. Assuming g(~~Fe, 2+) = 0.61 + 0.08, we obtain g = 1.68~0.38 and g = 0.46+ 0.10 for the first 2+ states of "Fe and Fe, respectively. The present results agree well with previous measurements and support the existing models for the structure of these states.

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