Transcription of Diamagnetism and paramagnetism - 國立臺灣師範大學
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Diamagnetism and paramagnetism - 國立臺灣師範大學
ChangDept of PhysDiamagnetism and paramagnetism Langevin Diamagnetism paramagnetism Hund s rules Lande g-factor Brillouin function crystal field splitting quench of orbital angular momentum Pauli paramagnetism and Landau diamagnetismatomfree electron gas nuclear demagnetizationCurie s law =C/TB=(1+ )HBasics System energy E(H) magnetization density susceptibility1()EMHVH = 221 MEHVH = Atomicsusceptibility()2220,222iiBiBiipee HVLgSHAmmcmcHH =+++ += =+ GGG=Order of magnitude()4 10when 1 TBBcLgSHHeVH + =GGG=()202222202520(,,0)2,2 10 of the linear term at=1 T/iiiiicHAyxeeHAmamcmcHeamea = G==( if 0)EFETST = important Filled atomic shell(applies to noble gas, NaCl-like )Ground state |0 : Perturbation energy (to 2nd order)()2'2'22'2'2'''BinnnnBnninnnHnEEnL gSHnEnHnenL gSn HnA nmcEE + + =++ = + GGGGGG2222000200(for spherical charge dist)83iiLSeEH rmc== = GGFor a collection of Nions,222220006iiNE eNrVHmcV = = < Larmor(or Langevin) diamagnetismimportant222122,, ,,,,, ,iiijiijzzLSpHVVmHL S L SLSm m =++ Without SO coupling With SO coupling (weak)2222122,, , ,,,,,ii i
M.C. Chang Dept of Phys Diamagnetism and paramagnetism • Langevin diamagnetism • paramagnetism • Hund’s rules • Lande g-factor • Brillouin function
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