For each level below

PHYSICS · Multi-part · Fermi University Physics · Atomic, Molecular & Optical Physics · One-electron atoms and the origins of atomic structure · One-electron atoms and the origins of atomic structure

Deriving the Spectrum, Ch Hyperfine structure and isotope shifts

Problem

For each level below, state whether an electric quadrupole hyperfine shift (

B_{\rm hfs}

) is possible, giving the reason from the rank-two rule. ((a)) Hydrogen's

2P_{3/2}

level (

I = 1/2

J = 3/2

). ((b)) Deuterium's

2S_{1/2}

level (

I = 1

J = 1/2

). ((c)) An excited level of

^{23}\mathrm{Na}

with

I = 3/2

and

J = 2

. ((d)) An excited level of

^{16}\mathrm{O}

with

I = 0

and

J = 5/2

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