G-factors and magnetic moments

[krasmus]

1.a) We see that through using mu = ((g*mu_N)/h-bar)*I, isolating g => g = (h-bar*mu)/(mu_N*I)
mu_N = 5.05×10^{-27}, h-bar = 1.05×10^{-34}
For the ground state: I = 1/2 (h-bar), mu = -0.594nm
g_0 = (-0.594nm)/(mu_N*1/2) = -2.35×10^{17}
For the first excited state (245KeV): I = 5/2, mu = -0.766nm
g_1 = (-0.766nm)/(mu_N*5/2) = -0.607×10^{17}

1.b) Electron has S = 1/2, mu = -9.284×10{-24}, mu_B (mu_N) = 9.274×10{-24}
g_e = (-9.284×10{-24})/(9.274×10{-24}*1/2) = -2.002

1.c) g = (h-bar*mu)/(mu_N*I) => mu = (g*mu_N*I)/h-bar
I = 1/2 (h-bar)
(-3.826*mu_N*-1/2)/h-bar = 9.66×10^{-27}

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