Laser spectroscopy resolves an electronic level with total electronic angular…

PHYSICS · Subjective · Fermi University Physics · Quantum Mechanics · Nuclear Physics · Nuclear constituents, size and binding

The Nucleus Resolved, Ch Spin, parity and the electromagnetic moments of a nucleus

Problem

Laser spectroscopy resolves an electronic level with total electronic angular momentum Je=3/2J_e = 3/2 into four hyperfine levels. The other level of the observed transition has negligible hyperfine splitting, so the spacings between optical components equal the spacings between these levels. The spacings between adjacent levels, taken in order of increasing FF, are measured to be 195 MHz195\,\mathrm{MHz}, 260 MHz260\,\mathrm{MHz} and 325 MHz325\,\mathrm{MHz}. Using the interval rule for magnetic hyperfine structure, determine the nuclear spin JJ of the atom.

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