g factors

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    Johanna Waltenspiel
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    1a) From the video, we know mu = g muN I/hbar
    -> g=mu hbar/(muN I)
    From the database:
    111Cd ground state (gs): I=1/2, mu=-0.5940nm
    111Cd 245keV: I=5/2, mu=-0.766nm
    with muN=5.505 × 10-27 J/T
    and hbar=1.0546 × 10-34 m^2 kg/s

    g(gs)= -0.228 x 10-16
    g(245)= -0.0587 x 10-16

    1b)Free electron with muS=muB, S= 1/2:
    muS=muB=g muB S/hbar
    -> g= hbar/S
    g=2 hbar

    1c)Free neutron with g=-3.826:
    I=1/2
    muN=5.505 × 10-27 J/T
    hbar=1.05457148 × 10-34 m^2 kg/s

    mu= g muN I/hbar
    mu= -9.986 x 10^7 m (feels too large)

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