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Today’s objectives - Magnetic Properties I ,[object Object],[object Object],[object Object],[object Object],Reading: All of Chapter 20 should be read.
Magnetic dipoles ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Earth’s Magnetic Field A magnetic field is generated every time an electrically charged object moves. Most of the planets in the Solar System are known to generate magnetic fields. The Earth's magnetic field is generated in its fluid, outer core. This is because the heat of the inner core drives the fluid in the outer core up and around in a process called convection. Because this outer core is made of metal, which can be electrically charged, the convection causes a magnetic field to be generated.
A bit of History
The Stone from Magnesia - Magnetite Magnetite (or lodestone) : opaque, black, ceramic crystal. Magnetite (FeO · Fe 2 O 3 ) is an oxide of iron which, unlike Fe 2 O 3 , is strongly magnetic.  Spinel Structure Atom  x   y   z   Fe(tet)  .125  .125  .125  Fe(oct)  .5  .5  .5  O  .2549  .2549  .2549
Magnetic Vectors ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Comparison: magnets and dielectrics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],ε  (or k)
Magnetic Permeability ,[object Object],[object Object],[object Object]
Other magnetic terms ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Magnetic Orbital Moments ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],5 3 1 Total orbitals 10 -2,-1,0,1,2 d 6 -1,0,1 p 2 0 s Total electrons m Orbital
Magnetic Spin Moments ,[object Object],[object Object],[object Object],[object Object],[object Object]
How do we Classify Magnetic Properties of Materials?  The Faraday Experiment
The Faraday Experiment ,[object Object],[object Object],[object Object],[object Object]
Classification via Magnetic Susceptibility  m  r  m
Diamagnetism ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Paramagnetism ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Ferromagnetism ,[object Object],[object Object],[object Object],[object Object],[object Object],0.6 1.72 2.22  B Ni Co Fe M per atom
Anti-Ferromagnetism ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Anti-Ferromagnetism Ordered arrangement of spins of the Mn 2+  ions in MnO determined by neutron diffraction. The 0 2-  ions are not shown.
Ferrimagnetism ,[object Object],[object Object],[object Object],[object Object],[object Object]
Ferrimagnetism All Fe 2+   have a spin magnetic moment. Half of Fe 3+  have a spin moment in on direction,  the other half in the other  (decreasing the overall moment to just that contributed by the Fe 2+  ions). Common for  inverse spinel  materials and  garnets . Usually,  2+  ions of Ni, Mn, Co, and Cu are the active ones. Simpler picture showing a net magnetic moment.
Comparisons ,[object Object],μ r =1 μ r >1.001 μ r> >>1 μ r =.99999 Large, with H Small, with H Small, opposite H Mag Induction (B) Positive, 10 -3  to 10 -5 >1 (this time   ≈  o + ) paramagnetic >>1 - >>1 ferromagnetic Negative, -10 -5 <1 (barely, so   ≈  o - ) diamagnetic Susceptibility (  m ) Relative Permeability (  r ) Type    measures the  material response relative to a vacuum.
Temperature dependence ,[object Object],[object Object],[object Object],[object Object],[object Object]
The Curie (or Ne è l) Temperature T n (Fe 3 O 4 ) T C (Fe)
Temperature dependence T C  or T n Above a critical temperature called the Curie point ( TC ),  ferro-  and  ferrimagnetic  materials no longer possess a spontaneous magnetization. They become  PARAMAGNETIC . So do  anti-ferromagnetic  materials. ferromagnetic anti-ferromagnetic ferrimagnetic T=0K paramagnetic
MAGNETIC MOMENTS FOR 3 TYPES Adapted from Fig. 20.5(a),  Callister 6e . Adapted from Fig. 20.5(b),  Callister 6e . Adapted from Fig. 20.7,  Callister 6e .
Wht about  Ferri-  and  Anti-FerroMagnets ? ,[object Object],[object Object]
Classification Summary
SUMMARY Reading for next class Magnetic properties II Chapter sections: 20.7-11 ,[object Object],[object Object],[object Object],[object Object]

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Lecture 19

  • 1.
  • 2.
  • 3. Earth’s Magnetic Field A magnetic field is generated every time an electrically charged object moves. Most of the planets in the Solar System are known to generate magnetic fields. The Earth's magnetic field is generated in its fluid, outer core. This is because the heat of the inner core drives the fluid in the outer core up and around in a process called convection. Because this outer core is made of metal, which can be electrically charged, the convection causes a magnetic field to be generated.
  • 4. A bit of History
  • 5. The Stone from Magnesia - Magnetite Magnetite (or lodestone) : opaque, black, ceramic crystal. Magnetite (FeO · Fe 2 O 3 ) is an oxide of iron which, unlike Fe 2 O 3 , is strongly magnetic. Spinel Structure Atom x y z Fe(tet) .125 .125 .125 Fe(oct) .5 .5 .5 O .2549 .2549 .2549
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12. How do we Classify Magnetic Properties of Materials? The Faraday Experiment
  • 13.
  • 14. Classification via Magnetic Susceptibility  m  r  m
  • 15.
  • 16.
  • 17.
  • 18.
  • 19. Anti-Ferromagnetism Ordered arrangement of spins of the Mn 2+ ions in MnO determined by neutron diffraction. The 0 2- ions are not shown.
  • 20.
  • 21. Ferrimagnetism All Fe 2+ have a spin magnetic moment. Half of Fe 3+ have a spin moment in on direction, the other half in the other (decreasing the overall moment to just that contributed by the Fe 2+ ions). Common for inverse spinel materials and garnets . Usually, 2+ ions of Ni, Mn, Co, and Cu are the active ones. Simpler picture showing a net magnetic moment.
  • 22.
  • 23.
  • 24. The Curie (or Ne è l) Temperature T n (Fe 3 O 4 ) T C (Fe)
  • 25. Temperature dependence T C or T n Above a critical temperature called the Curie point ( TC ), ferro- and ferrimagnetic materials no longer possess a spontaneous magnetization. They become PARAMAGNETIC . So do anti-ferromagnetic materials. ferromagnetic anti-ferromagnetic ferrimagnetic T=0K paramagnetic
  • 26. MAGNETIC MOMENTS FOR 3 TYPES Adapted from Fig. 20.5(a), Callister 6e . Adapted from Fig. 20.5(b), Callister 6e . Adapted from Fig. 20.7, Callister 6e .
  • 27.
  • 29.