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Iron single crystal photomicrographs
magnetic domains change shape as a
magnetic field (H) is applied.
domains favorably oriented with the field
grow at the expense of the unfavorably
oriented domains.
Magnetic Properties
c18f01
Magnetic field lines of force around a current loop and a bar magnet.
18.2 Basic Concepts
Magnetic forces appear when moving charges
Forces can be represented by imaginary lines grouped as fields
MAGNETIC DIPOLES
The magnetic moment represented by a vector
c18f03
Magnetic Field Vectors
magnetic field strength (H) & magnetic flux density (B)
+
= 0
0 M
H
B 

0
r =



H
=
M m

magnetization
magnetic susceptibility
1
-
= r
m 

relative permeability
H
=
B 0
0 
H
=
B 
Magnetic flux density
l
NI
=
H
Magnetic field strength
Bohr magneton (B)
Most fundamental magnetic moment
B = ±9.27x10-24 A-m2
Origins of Magnetic Moments:
Responds to quantum mechanics laws
Two main contributions: (a) an orbiting electron and (b) electron spin.
The spin is an
intrinsic
property of the
electron and it
is not due to its
rotation
c18f05
Diamagnetic material
in the presence of a field, dipoles
are induced and aligned opposite
to the field direction.
Paramagnetic material
18.3 Diamagnetism and Paramagnetism
c18f06
The flux density B versus the magnetic field
strength H for diamagnetic and paramagnetic
materials.

B = 0H + 0M = 0H + 0mH

 = 0(1 + m)
c18tf02
18.4 FERROMAGNETISM
mutual alignment of atomic
dipoles
even in the absence of an external
magnetic field.
coupling forces align the magnetic
spins
M
B
M
H
B
0
0
0 +
=




Domains with mutual spin alignment
B grows up to a saturation magnetization Ms with a saturation flux
Bs = Matom × Natoms (average moment per atom times density of atoms)
Matom = 2.22B, 1.72B, 0.60B for Fe, Co, Ni, respectively
c18f08
ANTIFERROMAGNETISM
Antiparallel alignment of spin
magnetic moments for
antiferromagnetic manganese
oxide (MnO)
At low T
Above the Neel temperature they
become paramagnetic
Parent materials, La2CuO4, and YBa2Cu3O6,
demonstrated that the CuO2 planes exhibit
antiferromagnetic order.
This work initiated a continuing exploration
of magnetic excitations in copper-oxide
superconductors, crucial to the mechanism
of high-temperature superconductivity.
1986: superconductivity
discovered in layered
compound La2-xBaxCuO4
with a transition T much
higher than expected.
Little was known about
copper oxides
18.5 Antiferromagnetism & Ferrimagnetism
FERRIMAGNETISM
spin magnetic moment
configuration for Fe2+ and Fe3+ ions
in Fe3O4. Above the Curie
temperature becomes
paramagnetic
18tf03
In our textbook 2.22, 1.72, 0.61
18.6 The Influence of Temperature on magnetic Behavior
TC: Curie temperature (ferromagnetic, ferrimagnetic)
TN: Neel temperature (antiferromagnetic)
material become paramagnetic
c18f11
18.7 Domains and Hysteresis
Domains in a ferromagnetic or ferrimagnetic
material; arrows represent atomic magnetic
dipoles.
Within each domain, all dipoles are aligned,
whereas the direction of alignment varies from
one domain to another.
Gradual change in magnetic dipole
orientation across a domain wall.
c18f12
c18f13
B versus H
ferromagnetic or
ferrimagnetic material
initially unmagnetized
Domain configurations
during several stages of
magnetization
Saturation flux density, Bs
Magnetization, Ms,
initial permeability i
c18f14
Magnetic flux density
versus magnetic field
strength
ferromagnetic material
subjected to forward and
reverse saturations (S & S’).
hysteresis loop (red)
initial magnetization (blue)
remanence, Br
coercive force, Hc
c18f16
Comparison magnetic versus nonmagnetic
Temperature
dependence of the electrical resistivity
for normally conducting and
superconducting materials in the
vicinity of 0 K.
18.12 Superconductivity
c18f27
Critical temperature,
current density, and magnetic
field boundary separating
superconducting and normal
conducting states (schematic).
Representation of
the Meissner effect.
While in the superconducting state, a body of
material (circle) excludes a magnetic field
(arrows) from its interior.
The magnetic field penetrates the same
body of material once it becomes
normally conductive.
c18tf07
10
• A magnetic field can be produced by:
--putting a current through a coil.
• Magnetic induction:
--occurs when a material is subjected to a magnetic field.
--is a change in magnetic moment from electrons.
• Types of material response to a field are:
--ferri- or ferro-magnetic (large magnetic induction)
--paramagnetic (poor magnetic induction)
--diamagnetic (opposing magnetic moment)
• Hard magnets: large coercivity.
• Soft magnets: small coercivity.
• Magnetic storage media:
--particulate g-Fe2O3 in polymeric film (tape or floppy)
--thin film CoPtCr or CoCrTa on glass disk (hard drive)
SUMMARY

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4239834.ppt

  • 1. Iron single crystal photomicrographs magnetic domains change shape as a magnetic field (H) is applied. domains favorably oriented with the field grow at the expense of the unfavorably oriented domains. Magnetic Properties
  • 2. c18f01 Magnetic field lines of force around a current loop and a bar magnet. 18.2 Basic Concepts Magnetic forces appear when moving charges Forces can be represented by imaginary lines grouped as fields
  • 3. MAGNETIC DIPOLES The magnetic moment represented by a vector
  • 4. c18f03 Magnetic Field Vectors magnetic field strength (H) & magnetic flux density (B) + = 0 0 M H B   0 r =    H = M m  magnetization magnetic susceptibility 1 - = r m   relative permeability H = B 0 0  H = B  Magnetic flux density l NI = H Magnetic field strength
  • 5. Bohr magneton (B) Most fundamental magnetic moment B = ±9.27x10-24 A-m2 Origins of Magnetic Moments: Responds to quantum mechanics laws Two main contributions: (a) an orbiting electron and (b) electron spin. The spin is an intrinsic property of the electron and it is not due to its rotation
  • 6. c18f05 Diamagnetic material in the presence of a field, dipoles are induced and aligned opposite to the field direction. Paramagnetic material 18.3 Diamagnetism and Paramagnetism
  • 7. c18f06 The flux density B versus the magnetic field strength H for diamagnetic and paramagnetic materials.  B = 0H + 0M = 0H + 0mH   = 0(1 + m)
  • 9. 18.4 FERROMAGNETISM mutual alignment of atomic dipoles even in the absence of an external magnetic field. coupling forces align the magnetic spins M B M H B 0 0 0 + =     Domains with mutual spin alignment B grows up to a saturation magnetization Ms with a saturation flux Bs = Matom × Natoms (average moment per atom times density of atoms) Matom = 2.22B, 1.72B, 0.60B for Fe, Co, Ni, respectively
  • 10. c18f08 ANTIFERROMAGNETISM Antiparallel alignment of spin magnetic moments for antiferromagnetic manganese oxide (MnO) At low T Above the Neel temperature they become paramagnetic Parent materials, La2CuO4, and YBa2Cu3O6, demonstrated that the CuO2 planes exhibit antiferromagnetic order. This work initiated a continuing exploration of magnetic excitations in copper-oxide superconductors, crucial to the mechanism of high-temperature superconductivity. 1986: superconductivity discovered in layered compound La2-xBaxCuO4 with a transition T much higher than expected. Little was known about copper oxides 18.5 Antiferromagnetism & Ferrimagnetism
  • 11. FERRIMAGNETISM spin magnetic moment configuration for Fe2+ and Fe3+ ions in Fe3O4. Above the Curie temperature becomes paramagnetic
  • 13. In our textbook 2.22, 1.72, 0.61
  • 14. 18.6 The Influence of Temperature on magnetic Behavior TC: Curie temperature (ferromagnetic, ferrimagnetic) TN: Neel temperature (antiferromagnetic) material become paramagnetic
  • 15. c18f11 18.7 Domains and Hysteresis Domains in a ferromagnetic or ferrimagnetic material; arrows represent atomic magnetic dipoles. Within each domain, all dipoles are aligned, whereas the direction of alignment varies from one domain to another. Gradual change in magnetic dipole orientation across a domain wall. c18f12
  • 16. c18f13 B versus H ferromagnetic or ferrimagnetic material initially unmagnetized Domain configurations during several stages of magnetization Saturation flux density, Bs Magnetization, Ms, initial permeability i
  • 17. c18f14 Magnetic flux density versus magnetic field strength ferromagnetic material subjected to forward and reverse saturations (S & S’). hysteresis loop (red) initial magnetization (blue) remanence, Br coercive force, Hc
  • 19. Temperature dependence of the electrical resistivity for normally conducting and superconducting materials in the vicinity of 0 K. 18.12 Superconductivity
  • 20. c18f27 Critical temperature, current density, and magnetic field boundary separating superconducting and normal conducting states (schematic).
  • 21. Representation of the Meissner effect. While in the superconducting state, a body of material (circle) excludes a magnetic field (arrows) from its interior. The magnetic field penetrates the same body of material once it becomes normally conductive.
  • 23. 10 • A magnetic field can be produced by: --putting a current through a coil. • Magnetic induction: --occurs when a material is subjected to a magnetic field. --is a change in magnetic moment from electrons. • Types of material response to a field are: --ferri- or ferro-magnetic (large magnetic induction) --paramagnetic (poor magnetic induction) --diamagnetic (opposing magnetic moment) • Hard magnets: large coercivity. • Soft magnets: small coercivity. • Magnetic storage media: --particulate g-Fe2O3 in polymeric film (tape or floppy) --thin film CoPtCr or CoCrTa on glass disk (hard drive) SUMMARY