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Magnetism and Matter

Why are some materials attracted to magnets while others are repelled? The answer lies within atoms themselves.

Feynman Lens

Start with the simplest version: this lesson is about Magnetism and Matter. If you can explain the core idea to a friend using everyday language, examples, and one clear reason why it matters, you have moved from memorising to understanding.

Why are some materials attracted to magnets while others are repelled? The answer lies within atoms themselves. Every atom is a tiny electromagnet—electrons orbiting the nucleus create magnetic dipoles, and unpaired electron spins add their own magnetism. This chapter explores how atomic magnetism scales up to create the bulk magnetic properties we observe in materials, from iron filing patterns to the Earth's protective magnetic field.

Building on Atomic Magnetism

From moving-charges-and-magnetism, we learned that moving charges create magnetic fields. In atoms, electrons orbit and spin—both sources of magnetism. The challenge is explaining why some materials are strongly magnetic (iron, cobalt, nickel) while others are not (copper, aluminum).

Types of Magnetic Materials

Paramagnetic Materials

Paramagnetic materials have atoms with unpaired electrons—tiny atomic magnets. Individually, these magnetic moments point randomly. When you apply an external magnetic field, they partially align with it, making the material slightly attracted to the field.

Effect: χ = 0.001 to 0.1 (positive susceptibility)

Examples: aluminum, copper (surprisingly), oxygen gas

Diamagnetic Materials

Diamagnetic materials have no unpaired electrons—their atomic magnetic moments cancel. However, when an external field is applied, the electron orbits precess slightly (like a top wobbling), creating tiny magnetic moments opposed to the field. The material is weakly repelled.

Effect: χ = -0.00001 to -0.0001 (negative susceptibility)

Examples: most organic molecules, water, bismuth

Ferromagnetic Materials

Ferromagnetic materials are special. In iron, cobalt, and nickel, the unpaired electron spins create a strong collective effect—the atoms' magnetic moments spontaneously align with each other, even without an external field. These materials can become strongly magnetized.

Effect: χ = 1 to 10,000+ (huge positive susceptibility)

The magnetic strength of ferromagnetic materials emerges from exchange interaction—a quantum mechanical effect where neighboring unpaired electron spins prefer to align parallel.

Hysteresis and Magnetization Curves

When you magnetize iron, something remarkable happens: it doesn't demagnetize completely when you remove the external field. This hysteresis shows memory—the material "remembers" being magnetized.

Retentivity: A ferromagnetic material retains magnetism after the external field is removed. Coercivity: The reverse field strength needed to fully demagnetize the material.

This hysteresis loop is the basis for permanent magnets and magnetic recording (tape, hard drives).

Domain Theory

Ferromagnetic materials contain domains—regions where atomic magnetic moments are already aligned. In an unmagnetized iron bar, domains point randomly, canceling each other. When you apply an external field:

  1. Domains aligned with the field grow at the expense of others
  2. Domains rotate to align with the field
  3. Eventually, most domains align, creating a strong net magnetization

When you remove the field, some alignment persists—permanent magnetism.

The Magnetic Moment and Atomic Structure

The magnetic moment of an atom comes from:

  1. Orbital motion: Electrons orbiting the nucleus (like a current loop)
  2. Electron spin: Intrinsic angular momentum of electrons

The Bohr magneton is the natural unit of atomic magnetic moment:

μ_B = eℏ/(2m_e) = 9.27 × 10⁻²⁴ J/T

Atomic magnetic moments are typically 1-5 Bohr magnetons.

Earth's Magnetism

Earth itself is a giant magnet, with a magnetic field around 25-65 microtesla at the surface. The origin is iron in Earth's outer core, kept molten by heat. This liquid iron, moving due to convection, acts like a massive electromagnet—the geodynamo effect.

moving-charges-and-magnetism | electromagnetic-induction | atoms

Socratic Questions

  1. Why does heating a permanent magnet above a certain temperature (the Curie point) cause it to lose its magnetization? What's happening to the domain alignment?
  1. If you could selectively align all domains in a piece of iron perfectly with an external field, then remove the field, why wouldn't the iron remain magnetized forever?
  1. Diamagnetic materials are repelled by both north and south poles of a magnet. Why does this work, given that the induced magnetic moment opposes the applied field?
  1. In paramagnetic materials, thermal motion randomizes the alignment of atomic magnetic moments. Why doesn't thermal motion equally disrupt ferromagnetic ordering? What's different?
  1. Could we ever create a material with a Curie point below room temperature? What technological uses might such a material have?

Quantity
Magnetic dipole moment (m)
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For a current loop, m = NIA; vector direction follows right-hand rule. SI unit: A·m².
Quantity
Magnetic susceptibility (χ)
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M = χH, dimensionless. χ < 0: diamagnetic; small positive: paramagnetic; very large positive: ferromagnetic.
Relation
Permeability and susceptibility
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μ_r = 1 + χ; B = μ₀(H + M) = μ₀ μ_r H.
Class
Diamagnetism
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Weak repulsion from a magnetic field; χ small and negative; e.g. bismuth, water.
Class
Paramagnetism
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Weak attraction; obeys Curie's law χ = C/T at high T. Examples: aluminium, oxygen.
Class
Ferromagnetism
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Strong magnetisation due to aligned domains; persists after field is removed. Examples: Fe, Co, Ni.
Concept
Curie temperature (T_c)
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Above T_c a ferromagnet becomes paramagnetic as thermal energy disrupts domain alignment.
Concept
Hysteresis
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Lag of M behind H in ferromagnets; loop area equals energy lost as heat per cycle per unit volume.
Definition
Retentivity and coercivity
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Retentivity: residual M when H = 0. Coercivity: reverse H needed to bring M back to zero.
Concept
Earth's magnetic field elements
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Specified by declination, dip (inclination), and horizontal component B_H; surface magnitude ≈ 25–65 µT.
A material with a small negative magnetic susceptibility is classified as:
  • A Paramagnetic
  • B Diamagnetic
  • C Ferromagnetic
  • D Antiferromagnetic
A circular coil of 50 turns and area 4 × 10⁻³ m² carries 2 A. Its magnetic dipole moment is:
  • A 0.04 A·m²
  • B 0.2 A·m²
  • C 0.4 A·m²
  • D 4 A·m²
A ferromagnetic material is heated above its Curie temperature. It becomes:
  • A A stronger ferromagnet
  • B Diamagnetic
  • C Antiferromagnetic
  • D Paramagnetic
Curie's law for a paramagnet states susceptibility:
  • A χ ∝ 1/T
  • B χ ∝ T
  • C χ ∝ T²
  • D χ is independent of T
The area of the B–H hysteresis loop of a ferromagnetic core represents:
  • A Magnetic moment of the sample
  • B Energy dissipated as heat per cycle per unit volume
  • C Total magnetic flux
  • D Coercivity squared