g factors

[Johanna Waltenspiel]

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)

[Author]

Posts