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Rock Magnetism: Domains, Hysteresis, and Saturation

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Earth's Magnetic Dipole Field BasicsPaleomagnetism and Magnetic Reversals→
magnetism rock-magnetism domains hysteresis

Core Idea

Magnetization in rocks arises from ferromagnetic and antiferromagnetic minerals with magnetic domains. Hysteresis curves (magnetization vs. field) reveal domain size, saturation magnetization, and coercivity; these properties vary with mineralogy, grain size, and temperature.

Explainer

From your study of Earth's magnetic dipole field and paleomagnetism, you know that certain rocks record the direction of the ambient magnetic field at the time they formed. Rock magnetism explains *how* this recording happens at the mineral scale — and the hysteresis loop is the central diagnostic tool for understanding the magnetic behavior of those minerals.

Ferromagnetic minerals like magnetite (Fe₃O₄) and hematite (Fe₂O₃) contain unpaired electrons whose magnetic moments align cooperatively, producing strong net magnetization. Within a grain, the magnetization organizes into magnetic domains — regions of uniform magnetization direction separated by thin domain walls. Large grains (typically >10 μm for magnetite) contain many domains that largely cancel each other out, resulting in weak net magnetization. Smaller grains have fewer domains, and below a critical size (~80 nm for magnetite), the grain becomes single-domain: the entire grain is magnetized uniformly in one direction. Single-domain grains are the most stable magnetic recorders because flipping their magnetization requires overcoming a large energy barrier — which is why they are the workhorses of paleomagnetic recording.

The hysteresis curve maps out a mineral's magnetic response as you cycle an external field from strong positive to strong negative and back. Starting from zero, magnetization increases as domains align with the applied field until all moments are parallel — this plateau is the saturation magnetization (Mₛ), a property of the mineral chemistry itself. When you reduce the field back to zero, the magnetization does not return to zero; the remaining magnetization is the remanent magnetization (Mᵣ). The field you must apply in the *opposite* direction to bring the magnetization to zero is the coercivity (Hc). The "fatness" of the hysteresis loop — quantified by the ratios Mᵣ/Mₛ and Hcr/Hc — tells you about domain state. Single-domain grains produce fat, square loops (high Mᵣ/Mₛ, near 0.5), while multi-domain grains produce thin, narrow loops (low Mᵣ/Mₛ) because domain walls move easily and magnetization is readily lost.

These properties are not just academic — they determine whether a rock reliably records ancient field directions. A basalt with abundant single-domain magnetite will carry a stable paleomagnetic signal for billions of years, while a coarse-grained gabbro with multi-domain magnetite may have its original signal overprinted by later fields. Temperature matters too: every ferromagnetic mineral has a Curie temperature above which thermal energy destroys magnetic order entirely (580°C for magnetite, 675°C for hematite). Heating experiments that track how magnetization changes with temperature help identify which minerals are present and whether the remanence is primary or secondary — essential information for any paleomagnetic study.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Triple Integrals in Cartesian Coordinates → Triple Integrals in Cylindrical and Spherical Coordinates → Change of Variables and the Jacobian Determinant → Applications of Triple Integrals: Volume and Mass → Vector Fields and Their Representations → Line Integrals of Vector Fields → Work and Circulation → Line Integrals of Scalar and Vector Functions → Fundamental Theorem for Line Integrals → Conservative Vector Fields → Conservative Vector Fields and Potential Functions → Curl and Divergence of Vector Fields → Curl and Divergence → Divergence Theorem → Electric Flux and Divergence Theorem → Gauss's Law: Integral Form and Meaning → Solving Problems with Gauss's Law → Conductors in Electrostatic Equilibrium → Capacitance and Capacitors → Dielectrics → Dielectric Constant and Relative Permittivity → Electric Field Inside Dielectric Materials → Dielectric Materials and Polarization → Dielectric Susceptibility and Permittivity → Energy Density in Electric Fields → Electric Current and Current Density → Electrical Resistance and Resistivity → Ohm's Law and Circuit Elements → Electromotive Force (EMF) and Batteries → Kirchhoff's Circuit Laws: Voltage and Current → DC Circuit Network Analysis Methods → Transient Response in RC Circuits → RC Circuits → LC and RLC Circuits → AC Circuits: Fundamentals → Impedance and Reactance → AC Power and Resonance → Electromagnetic Waves → Postulates of Special Relativity → Time Dilation → Length Contraction → Lorentz Transformation → Relativistic Velocity Addition → Relativistic Momentum and Energy → Mass-Energy Equivalence and E=mc² → Photons as Particles with Energy and Momentum → Planck-Einstein Relation: Energy and Frequency → Photoelectric Effect → The Photon: Light as Quanta → Compton Scattering → Wave-Particle Duality → de Broglie Wavelength → The Schrödinger Equation → State Vectors and Wavefunctions → Quantum Superposition → Quantum Entanglement → Bell Theorem and Bell Inequalities → Postulates of Quantum Mechanics → Observables and Quantum Operators → Commutators and Commutation Relations → Quantum Angular Momentum → Quantum Mechanical Treatment of Hydrogen → Solving the Schrödinger Equation for Hydrogen Atom → Quantum Numbers → Electron Configuration → Periodic Trends → Covalent Bonding → Electronegativity and Bond Polarity → Ionic Bonding → Lewis Structures → VSEPR Theory and Molecular Geometry → Molecular Geometry and Electron Pair Geometry → Molecular Polarity and Dipole Moments → Intermolecular Forces → States of Matter and Phase Changes: Melting, Boiling, and Sublimation → Gas Laws and the Ideal Gas Equation → Gas Stoichiometry and Volume-Volume Calculations → Thermochemistry and Enthalpy → Heat Capacity and Calorimetry → Entropy and Molecular Disorder → Spontaneity and ΔG → Entropy and Gibbs Free Energy → Chemical Equilibrium → Statistical Mechanics: Ensembles and the Boltzmann Distribution → Partition Function: Definition and Properties → The Canonical Partition Function and Thermodynamic Derivation → Free Energy and Thermodynamic Relations from Partition Functions → Legendre Transformations and Thermodynamic Potentials → Chemical Potential and Partial Molar Properties → Phase Equilibrium and Coexistence Conditions → Clausius-Clapeyron Equation → Phase Diagrams and Phase Boundaries → Igneous Rocks → Metamorphic Rocks → The Rock Cycle → Plate Tectonics → Tectonic Plate Boundaries → Geologic Structures: Folds and Faults → Earthquakes and Seismology → Seismic Waves → Earth's Interior Structure → Earth's Magnetic Dipole Field Basics → Paleomagnetism and Magnetic Reversals → Rock Magnetism: Domains, Hysteresis, and Saturation

Longest path: 194 steps · 1156 total prerequisite topics

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