Lecture_20

Lecture_20 - PHYS 342 Fall Fall 2011 Lecture 20: The...

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PHYS 342 all 2011 Fall 2011 Lecture 20: The electron’s spin, magnetic oment and Pauli’s exclusion principle moment and Pauli s exclusion principle e - , m U(r) Lecture 20 1
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ORBITAL Magnetic Moments – classical For a charged particle of mass m moving in a F gp fm mm g circular orbit, there is a tight connection between angular momentum and magnetic moment 2 r period dq q v T  sin L rp Lr p   i dt magnetic moment q q q T 2 v for circular orbit p m r  2 2 22 2 qq ir r r p rm q p v r T A m , m , frequency L v 2 , e L m q in general L if q e then m m  q, m r 2 2 e m e L m 2
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What happens if electron is treated as a wave? For an electron in H atom, L z is quantized z Lm mm   22 zB e ee m    Magnetic moment along z-direction becomes quantized: -e, m e v z L 24 9.274 10 / 2 B e e JT m  <r> z Interaction Energy () c o s magnetic B UB       .0E- 5 4.0E-05 6.0E-05 8.0E-05 eV) 1 B in 1 Tesla small energy – difficult to measure B -6.0E-05 -4.0E-05 -2.0E-05 0.0E+00 2.0E 05 U( θ ) (in z 3 -8.0E-05 -180 -120 -60 0 60 120 180 Angle between and B (degrees)
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Force on Magnetic Dipole?
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Lecture_20 - PHYS 342 Fall Fall 2011 Lecture 20: The...

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