8.2.3.1. Alpha Particles
Table of Contents
Nature of Alpha Particles
Alpha particles are one of the main types of radiation emitted by unstable atomic nuclei. An alpha particle is not a single elementary particle. It is a small bundle made of two protons and two neutrons. This means it is exactly the same as the nucleus of a helium atom, specifically helium, 4.
Because it contains two protons, an alpha particle has electric charge $+2e$, where $e$ is the magnitude of the elementary charge. Because it contains four nucleons in total, its mass is about $4$ atomic mass units, often written as $4u$. In symbols, an alpha particle is often written as
$$
\alpha \equiv {}^{4}_{2}\mathrm{He}
$$
Sometimes it is also written as ${}^{4}_{2}\mathrm{He}^{2+}$ to emphasize that it is positively charged and has no electrons attached.
An alpha particle is the nucleus of a helium atom, made of 2 protons and 2 neutrons.
It has charge $+2e$ and mass number $A=4$.
Composition and Basic Properties
The structure of the alpha particle is especially stable. The two protons and two neutrons are tightly bound together by the strong nuclear force. This strong binding is one reason alpha particles appear so often in nuclear decay processes of heavy nuclei.
A useful summary is shown below.
| Property | Alpha particle |
|---|---|
| Symbol | $\alpha$, ${}^{4}_{2}\mathrm{He}$ |
| Number of protons | 2 |
| Number of neutrons | 2 |
| Mass number | 4 |
| Atomic number | 2 |
| Electric charge | $+2e$ |
| Approximate mass | $4u$ |
Since it is positively charged and relatively heavy compared with beta particles, it behaves in a distinctive way when moving through matter and through electric or magnetic fields.
Why Alpha Particles Are Common in Nuclear Physics
Alpha particles occur in many heavy radioactive nuclei. In very large nuclei, the balance between the attractive strong nuclear force and the repulsive electric force between protons becomes delicate. Emitting an alpha particle can move the nucleus toward a more stable state.
When a nucleus emits an alpha particle, its atomic number decreases by 2 and its mass number decreases by 4. The daughter nucleus is therefore a different element.
The general form of alpha emission is
$$
{}^{A}_{Z}X \rightarrow {}^{A-4}_{Z-2}Y + {}^{4}_{2}\mathrm{He}
$$
For example,
$$
{}^{238}_{92}\mathrm{U} \rightarrow {}^{234}_{90}\mathrm{Th} + {}^{4}_{2}\mathrm{He}
$$
This chapter focuses on the emitted particle itself, not the full decay mechanism.
In alpha emission, the parent nucleus changes according to
$$
A \to A-4, \qquad Z \to Z-2
$$
because the emitted alpha particle carries away 2 protons and 2 neutrons.
Motion and Deflection
Because alpha particles carry positive charge, they are deflected by electric and magnetic fields. Their deflection shows that they are charged particles, not neutral radiation.
Compared with lighter charged particles, alpha particles are harder to bend because of their relatively large mass. For the same kinetic energy, they usually move more slowly than very light particles such as electrons.
A simple sketch of an alpha particle moving between charged plates is shown below.
The electric field points from the positive plate to the negative plate. Since the alpha particle has positive charge, the electric force acts in the direction of the field.
Ionization Ability
One of the most important features of alpha particles is their strong ionizing power. As they pass through matter, they interact strongly with atoms and molecules, removing electrons from them and creating ions.
This happens because the alpha particle has a relatively large charge, $+2e$, and because it moves through matter with enough energy to disturb atomic electrons. Along its path it loses energy quickly, producing many ion pairs in a short distance.
This high ionization means alpha radiation can be very damaging to biological tissue if the source is inside the body. Outside the body, however, alpha particles are often less dangerous than other radiation types because they do not penetrate deeply.
Alpha particles are strongly ionizing because they are heavy and carry charge $+2e$.
They lose energy rapidly in matter and create many ion pairs along a short path.
Penetrating Power
Although alpha particles are strongly ionizing, they have low penetrating power. They are usually stopped by a sheet of paper, the outer dead layer of human skin, or just a few centimeters of air.
This combination can seem surprising at first. The reason is that strong interaction with matter makes them lose energy quickly. So alpha particles do a lot of ionization, but only over a short distance.
The contrast is useful:
| Property | Alpha particles |
|---|---|
| Ionization ability | High |
| Penetration in matter | Low |
| Typical shielding | Paper, skin, short air path |
Speed and Energy
Alpha particles emitted in radioactive decay usually have kinetic energies of a few mega electron volts, written as MeV. This is much larger than typical atomic energies, which are often a few electron volts, but much smaller than the rest energy of the particle.
If the kinetic energy is $K$, then in many introductory cases their speed can be estimated using the nonrelativistic formula
$$
K = \frac{1}{2}mv^2
$$
so that
$$
v = \sqrt{\frac{2K}{m}}
$$
This formula is often good enough because alpha particles from ordinary alpha decay usually move at a few percent of the speed of light, not close to it.
Identification in Experiments
Historically, alpha particles were identified by their charge, mass, and behavior in fields and matter. Their relatively short range and strong ionization made them distinguishable from beta particles and gamma rays.
They also played a central role in early nuclear physics. For example, alpha particles were used as projectiles in scattering experiments that helped reveal the existence of the atomic nucleus.
Comparison with Other Common Radiations
A short comparison helps place alpha particles in context.
| Radiation type | Nature | Charge | Relative mass | Ionization | Penetration |
|---|---|---|---|---|---|
| Alpha | ${}^{4}_{2}\mathrm{He}$ nucleus | $+2e$ | Large | High | Low |
| Beta | Electron or positron | $\mp e$, $+e$ | Small | Medium | Medium |
| Gamma | Electromagnetic photon | $0$ | Zero rest mass | Low directly | High |
This table is only for orientation. The details of beta and gamma radiation belong to their own chapters.
Key Facts to Remember
An alpha particle is a very stable cluster of two protons and two neutrons. It is the nucleus of a helium atom, with charge $+2e$ and mass number $4$. Because it is heavy and positively charged, it ionizes matter strongly but travels only a short distance before stopping. These properties make alpha particles easy to identify and very important in nuclear decay and nuclear physics experiments.
Key facts about alpha particles:
$$
\alpha = {}^{4}_{2}\mathrm{He}
$$
Charge: $+2e$
Mass number: $4$
Composition: 2 protons and 2 neutrons
Behavior: strong ionization, weak penetration
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- ☰ 2.4.1.1. Momentum
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- ☰ 2.4.3.1. Isolated Systems
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- ☰ 2.4.4. Collisions
- ☰ 2.4.4.1. Elastic Collisions
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- ☰ 2.6. Gravitation
- ☰ 2.6.1. Newton's Law of Gravitation
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- ☰ 3. Part II: Oscillations, Waves, and Fluids
- ☰ 3.1. Oscillations
- ☰ 3.1.1. Simple Harmonic Motion
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- ☰ 3.1.2.1. Hooke's Law
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- ☰ 3.1.3. Pendulums
- ☰ 3.1.3.1. Simple Pendulum
- ☰ 3.1.3.2. Physical Pendulum
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- ☰ 3.1.4. Damped Oscillations
- ☰ 3.1.4.1. Damping
- ☰ 3.1.4.2. Critical Damping
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- ☰ 3.1.5.1. Driving Force
- ☰ 3.1.5.2. Resonance
- ☰ 3.1.5.3. Natural Frequency
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- ☰ 3.2. Mechanical Waves
- ☰ 3.2.1. Fundamentals of Waves
- ☰ 3.2.1.1. Transverse Waves
- ☰ 3.2.1.2. Longitudinal Waves
- ☰ 3.2.1.3. Wavelength
- ☰ 3.2.1.4. Frequency
- ☰ 3.2.1.5. Wave Speed
- ☰ 3.2.1.6. Amplitude
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- ☰ 3.2.2. Mathematical Description of Waves
- ☰ 3.2.2.1. Wave Function
- ☰ 3.2.2.2. Phase
- ☰ 3.2.2.3. Wave Equation
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- ☰ 3.2.3. Superposition
- ☰ 3.2.3.1. Interference
- ☰ 3.2.3.2. Constructive Interference
- ☰ 3.2.3.3. Destructive Interference
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- ☰ 3.2.4. Standing Waves
- ☰ 3.2.4.1. Nodes and Antinodes
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- ☰ 3.2.5. Sound Waves
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- ☰ 3.3. Fluid Mechanics
- ☰ 3.3.1. Properties of Fluids
- ☰ 3.3.1.1. Density
- ☰ 3.3.1.2. Pressure
- ☰ 3.3.1.3. Compressibility
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- ☰ 3.3.2. Fluid Statics
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- ☰ 3.3.2.2. Pascal's Principle
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- ☰ 3.3.3. Buoyancy
- ☰ 3.3.3.1. Archimedes' Principle
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- ☰ 3.3.4. Fluid Dynamics
- ☰ 3.3.4.1. Flow Rate
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- ☰ 3.3.5. Viscosity
- ☰ 3.3.5.1. Laminar Flow
- ☰ 3.3.5.2. Turbulent Flow
- ☰ 3.3.5.3. Poiseuille's Law
- ☰ 3.3.5.4. Reynolds Number
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- ☰ 4. Part III: Thermodynamics
- ☰ 4.1. Temperature and Heat
- ☰ 4.1.1. Temperature and Thermal Equilibrium
- ☰ 4.1.2. Zeroth Law of Thermodynamics
- ☰ 4.1.3. Temperature Scales
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- ☰ 4.1.10. Heat Transfer
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- ☰ 4.2. Kinetic Theory of Gases
- ☰ 4.2.1. Ideal Gas Law
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- ☰ 4.2.4. RMS Molecular Speed
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- ☰ 4.2.6. Mean Free Path
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- ☰ 4.3. Thermodynamics
- ☰ 4.3.1. Thermodynamic Systems
- ☰ 4.3.2. First Law of Thermodynamics
- ☰ 4.3.3. Isothermal Processes
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- ☰ 4.3.6. Adiabatic Processes
- ☰ 4.3.7. Heat Engines
- ☰ 4.3.8. Carnot Cycle
- ☰ 4.3.9. Refrigerators
- ☰ 4.3.10. Second Law of Thermodynamics
- ☰ 4.3.11. Entropy
- ☰ 4.3.12. Reversible and Irreversible Processes
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- ☰ 5. Part IV: Electricity and Magnetism
- ☰ 5.1. Electric Charge and Electric Field
- ☰ 5.1.1. Electric Charge
- ☰ 5.1.2. Conductors and Insulators
- ☰ 5.1.3. Coulomb's Law
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- ☰ 5.1.8. Electric Flux
- ☰ 5.1.9. Gauss's Law
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- ☰ 5.2. Electric Potential
- ☰ 5.2.1. Electric Potential Energy
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- ☰ 5.2.4. Relationship Between Potential and Field
- ☰ 5.2.5. Potential of Continuous Charge Distributions
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- ☰ 5.3. Capacitance
- ☰ 5.3.1. Capacitors
- ☰ 5.3.2. Parallel-Plate Capacitor
- ☰ 5.3.3. Series and Parallel Capacitors
- ☰ 5.3.4. Energy Stored in Capacitors
- ☰ 5.3.5. Dielectrics
- ☰ 5.3.6. Polarization
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- ☰ 5.4. Electric Current and Resistance
- ☰ 5.4.1. Electric Current
- ☰ 5.4.2. Current Density
- ☰ 5.4.3. Drift Velocity
- ☰ 5.4.4. Resistance
- ☰ 5.4.5. Ohm's Law
- ☰ 5.4.6. Resistivity
- ☰ 5.4.7. Electrical Energy
- ☰ 5.4.8. Electric Power
- ☰ 5.4.9. Electromotive Force
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- ☰ 5.5. DC Circuits
- ☰ 5.5.1. Kirchhoff's Laws
- ☰ 5.5.2. Multi-Loop Circuits
- ☰ 5.5.3. RC Circuits
- ☰ 5.5.4. Measuring Instruments
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- ☰ 5.6. Magnetism
- ☰ 5.6.1. Magnetic Fields
- ☰ 5.6.2. Lorentz Force
- ☰ 5.6.3. Motion of Charged Particles
- ☰ 5.6.4. Force on Current-Carrying Wires
- ☰ 5.6.5. Torque on Current Loops
- ☰ 5.6.6. Biot-Savart Law
- ☰ 5.6.7. Ampère's Law
- ☰ 5.6.8. Solenoids
- ☰ 5.6.9. Magnetic Materials
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- ☰ 5.7. Electromagnetic Induction
- ☰ 5.7.1. Magnetic Flux
- ☰ 5.7.2. Faraday's Law
- ☰ 5.7.3. Lenz's Law
- ☰ 5.7.4. Motional EMF
- ☰ 5.7.5. Self-Inductance
- ☰ 5.7.6. Mutual Inductance
- ☰ 5.7.7. RL Circuits
- ☰ 5.7.8. LC Oscillations
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- ☰ 5.8. Alternating Current
- ☰ 5.8.1. AC Voltage and Current
- ☰ 5.8.2. RMS Quantities
- ☰ 5.8.3. Resistors in AC Circuits
- ☰ 5.8.4. Capacitors in AC Circuits
- ☰ 5.8.5. Inductors in AC Circuits
- ☰ 5.8.6. RLC Circuits
- ☰ 5.8.7. Impedance
- ☰ 5.8.8. Resonance
- ☰ 5.8.9. Transformers
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- ☰ 5.9. Maxwell's Equations and Electromagnetic Waves
- ☰ 5.9.1. Gauss's Law for Electricity
- ☰ 5.9.2. Gauss's Law for Magnetism
- ☰ 5.9.3. Faraday's Law
- ☰ 5.9.4. Ampère-Maxwell Law
- ☰ 5.9.5. Electromagnetic Waves
- ☰ 5.9.6. Speed of Light
- ☰ 5.9.7. Electromagnetic Spectrum
- ☰ 5.9.8. Poynting Vector
- ☰ 5.9.9. Radiation Pressure
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- ☰ 6. Part V: Optics
- ☰ 6.1. Geometrical Optics
- ☰ 6.1.1. Nature of Light
- ☰ 6.1.2. Reflection
- ☰ 6.1.3. Plane Mirrors
- ☰ 6.1.4. Refraction
- ☰ 6.1.5. Snell's Law
- ☰ 6.1.6. Total Internal Reflection
- ☰ 6.1.7. Spherical Mirrors
- ☰ 6.1.8. Thin Lenses
- ☰ 6.1.9. Mirror Equation
- ☰ 6.1.10. Lens Equation
- ☰ 6.1.11. Magnification
- ☰ 6.1.12. Ray Diagrams
- ☰ 6.1.13. Optical Instruments
-
- ☰ 6.2. Wave Optics
- ☰ 6.2.1. Interference
- ☰ 6.2.2. Young's Double-Slit Experiment
- ☰ 6.2.3. Diffraction
- ☰ 6.2.4. Single-Slit Diffraction
- ☰ 6.2.5. Diffraction Gratings
- ☰ 6.2.6. Polarization
- ☰ 6.2.7. Malus's Law
- ☰ 6.2.8. Brewster's Angle
- ☰ 6.2.9. Rayleigh Criterion
- ☰ 6.2.10. Optical Resolution
-
-
- ☰ 7. Part VI: Modern Physics
- ☰ 7.1. Special Relativity
- ☰ 7.1.1. Galilean Relativity
- ☰ 7.1.2. Michelson-Morley Experiment
- ☰ 7.1.3. Einstein's Postulates
- ☰ 7.1.4. Lorentz Transformations
- ☰ 7.1.5. Relativity of Simultaneity
- ☰ 7.1.6. Time Dilation
- ☰ 7.1.7. Length Contraction
- ☰ 7.1.8. Relativistic Velocity Addition
- ☰ 7.1.9. Relativistic Momentum
- ☰ 7.1.10. Relativistic Energy
- ☰ 7.1.11. Mass-Energy Equivalence
- ☰ 7.1.12. Energy-Momentum Relation
- ☰ 7.1.13. Spacetime Diagrams
- ☰ 7.1.14. Light Cones
-
- ☰ 7.2. Introduction to Quantum Physics
- ☰ 7.2.1. Blackbody Radiation
- ☰ 7.2.2. Planck's Hypothesis
- ☰ 7.2.3. Photoelectric Effect
- ☰ 7.2.4. Photon Energy
- ☰ 7.2.5. Photon Momentum
- ☰ 7.2.6. Compton Scattering
- ☰ 7.2.7. de Broglie Wavelength
- ☰ 7.2.8. Matter Waves
- ☰ 7.2.9. Wave-Particle Duality
- ☰ 7.2.10. Double-Slit Experiment
- ☰ 7.2.11. Heisenberg Uncertainty Principle
-
- ☰ 7.3. Quantum Mechanics
- ☰ 7.3.1. Wave Function
- ☰ 7.3.2. Probability Interpretation
- ☰ 7.3.3. Normalization
- ☰ 7.3.4. Schrödinger Equation
- ☰ 7.3.5. Operators and Observables
- ☰ 7.3.6. Expectation Values
- ☰ 7.3.7. Particle in a Box
- ☰ 7.3.8. Finite Potential Wells
- ☰ 7.3.9. Quantum Tunneling
- ☰ 7.3.10. Quantum Harmonic Oscillator
- ☰ 7.3.11. Hydrogen Atom
- ☰ 7.3.12. Quantum Numbers
- ☰ 7.3.13. Angular Momentum
- ☰ 7.3.14. Spin
- ☰ 7.3.15. Stern-Gerlach Experiment
- ☰ 7.3.16. Pauli Exclusion Principle
-
- ☰ 7.4. Atomic Physics
- ☰ 7.4.1. Thomson Atomic Model
- ☰ 7.4.2. Rutherford Atomic Model
- ☰ 7.4.3. Bohr Model
- ☰ 7.4.4. Atomic Spectra
- ☰ 7.4.5. Hydrogen Spectrum
- ☰ 7.4.6. Electron Shells
- ☰ 7.4.7. Orbitals
- ☰ 7.4.8. Electron Configurations
- ☰ 7.4.9. X-Ray Spectra
- ☰ 7.4.10. Atomic Transitions
- ☰ 7.4.11. Lasers
- ☰ 7.4.12. Stimulated Emission
-
-
- ☰ 8. Part VII: Nuclear and Particle Physics
- ☰ 8.1. Nuclear Structure
- ☰ 8.1.1. The Atomic Nucleus
- ☰ 8.1.1.1. Protons and Neutrons
- ☰ 8.1.1.2. Atomic Number
- ☰ 8.1.1.3. Mass Number
- ☰ 8.1.1.4. Isotopes
- ☰ 8.1.1.5. Isotones
- ☰ 8.1.1.6. Isobars
-
- ☰ 8.1.2. Nuclear Size and Density
- ☰ 8.1.2.1. Nuclear Radius
- ☰ 8.1.2.2. Nuclear Density
- ☰ 8.1.2.3. Nuclear Charge Distribution
-
- ☰ 8.1.3. Nuclear Forces
- ☰ 8.1.3.1. Strong Nuclear Force
- ☰ 8.1.3.2. Properties of Nuclear Forces
- ☰ 8.1.3.3. Proton-Neutron Interaction
- ☰ 8.1.3.4. Nuclear Stability
-
- ☰ 8.1.4. Mass and Binding Energy
- ☰ 8.1.4.1. Atomic Mass Units
- ☰ 8.1.4.2. Mass Defect
- ☰ 8.1.4.3. Binding Energy
- ☰ 8.1.4.4. Binding Energy per Nucleon
- ☰ 8.1.4.5. Binding-Energy Curve
-
- ☰ 8.1.5. Nuclear Models
- ☰ 8.1.5.1. Liquid-Drop Model
- ☰ 8.1.5.2. Semi-Empirical Mass Formula
- ☰ 8.1.5.3. Nuclear Shell Model
- ☰ 8.1.5.4. Magic Numbers
- ☰ 8.1.5.5. Collective Model
-
- ☰ 8.1.6. Nuclear Spin and Magnetic Moments
- ☰ 8.1.6.1. Nuclear Angular Momentum
- ☰ 8.1.6.2. Nuclear Spin
- ☰ 8.1.6.3. Nuclear Magnetic Moment
-
-
- ☰ 8.2. Radioactivity and Nuclear Decay
- ☰ 8.2.1. Radioactive Decay
- ☰ 8.2.1.1. Nuclear Instability
- ☰ 8.2.1.2. Random Nature of Decay
- ☰ 8.2.1.3. Decay Constant
-
- ☰ 8.2.2. Radioactive Decay Law
- ☰ 8.2.2.1. Exponential Decay
- ☰ 8.2.2.2. Activity
- ☰ 8.2.2.3. Half-Life
- ☰ 8.2.2.4. Mean Lifetime
-
- ☰ 8.2.3. Alpha Decay
- ☰ 8.2.3.1. Alpha Particles
- ☰ 8.2.3.2. Energy of Alpha Decay
-
- ☰ 8.2.4. Beta Decay
- ☰ 8.2.4.1. Beta-Minus Decay
- ☰ 8.2.4.2. Beta-Plus Decay
- ☰ 8.2.4.3. Electron Capture
- ☰ 8.2.4.4. Neutrinos
- ☰ 8.2.4.5. Energy Spectrum
-
- ☰ 8.2.5. Gamma Decay
- ☰ 8.2.5.1. Nuclear Excited States
- ☰ 8.2.5.2. Gamma-Ray Emission
- ☰ 8.2.5.3. Internal Conversion
-
- ☰ 8.2.6. Decay Chains
- ☰ 8.2.6.1. Parent and Daughter Nuclei
- ☰ 8.2.6.2. Secular Equilibrium
- ☰ 8.2.6.3. Natural Radioactive Series
-
-
- ☰ 8.3. Interaction of Radiation with Matter
- ☰ 8.3.1. Charged Particle Interactions
- ☰ 8.3.1.1. Ionization
- ☰ 8.3.1.2. Excitation
- ☰ 8.3.1.3. Energy Loss
- ☰ 8.3.1.4. Stopping Power
- ☰ 8.3.1.5. Range
-
- ☰ 8.3.2. Heavy Charged Particles
- ☰ 8.3.2.1. Alpha Particles
- ☰ 8.3.2.2. Bragg Curve
- ☰ 8.3.2.3. Bragg Peak
-
- ☰ 8.3.3. Electron Interactions
- ☰ 8.3.3.1. Collisional Energy Loss
- ☰ 8.3.3.2. Bremsstrahlung
- ☰ 8.3.3.3. Electron Range
-
- ☰ 8.3.4. Photon Interactions
- ☰ 8.3.4.1. Pair Production
- ☰ 8.3.4.2. Rayleigh Scattering
-
- ☰ 8.3.5. Attenuation of Radiation
- ☰ 8.3.5.1. Linear Attenuation Coefficient
- ☰ 8.3.5.2. Mass Attenuation Coefficient
- ☰ 8.3.5.3. Exponential Attenuation
- ☰ 8.3.5.4. Half-Value Layer
-
- ☰ 8.3.6. Neutron Interactions
- ☰ 8.3.6.1. Elastic Scattering
- ☰ 8.3.6.2. Inelastic Scattering
- ☰ 8.3.6.3. Neutron Capture
- ☰ 8.3.6.4. Neutron Moderation
-
-
- ☰ 8.4. Radiation Detection and Measurement
- ☰ 8.4.1. Principles of Radiation Detection
- ☰ 8.4.1.1. Energy Deposition
- ☰ 8.4.1.2. Detector Efficiency
- ☰ 8.4.1.3. Energy Resolution
- ☰ 8.4.1.4. Timing Resolution
- ☰ 8.4.1.5. Dead Time
-
- ☰ 8.4.2. Gas-Filled Detectors
- ☰ 8.4.2.1. Ionization Chambers
- ☰ 8.4.2.2. Proportional Counters
- ☰ 8.4.2.3. Geiger-Müller Counters
-
- ☰ 8.4.3. Scintillation Detectors
- ☰ 8.4.3.1. Scintillation Process
- ☰ 8.4.3.2. Organic Scintillators
- ☰ 8.4.3.3. Inorganic Scintillators
- ☰ 8.4.3.4. Photomultiplier Tubes
- ☰ 8.4.3.5. Silicon Photomultipliers
-
- ☰ 8.4.4. Semiconductor Detectors
- ☰ 8.4.4.1. Silicon Detectors
- ☰ 8.4.4.2. Germanium Detectors
- ☰ 8.4.4.3. Electron-Hole Pair Creation
-
- ☰ 8.4.5. Gamma-Ray Spectroscopy
- ☰ 8.4.5.1. Photopeak
- ☰ 8.4.5.2. Compton Continuum
- ☰ 8.4.5.3. Compton Edge
- ☰ 8.4.5.4. Escape Peaks
-
- ☰ 8.4.6. Coincidence Measurements
- ☰ 8.4.6.1. Coincidence Detection
- ☰ 8.4.6.2. Timing Windows
- ☰ 8.4.6.3. True Coincidences
- ☰ 8.4.6.4. Random Coincidences
-
-
- ☰ 8.5. Nuclear Reactions
- ☰ 8.5.1. Principles of Nuclear Reactions
- ☰ 8.5.1.1. Reaction Notation
- ☰ 8.5.1.2. Conservation Laws
- ☰ 8.5.1.3. Reaction Energetics
-
- ☰ 8.5.2. Q-Value
- ☰ 8.5.2.1. Exothermic Reactions
- ☰ 8.5.2.2. Endothermic Reactions
- ☰ 8.5.2.3. Reaction Thresholds
-
- ☰ 8.5.3. Reaction Cross Section
- ☰ 8.5.3.1. Cross Section
- ☰ 8.5.3.2. Reaction Probability
- ☰ 8.5.3.3. Energy Dependence
-
- ☰ 8.5.4. Types of Nuclear Reactions
- ☰ 8.5.4.1. Elastic Scattering
- ☰ 8.5.4.2. Inelastic Scattering
- ☰ 8.5.4.3. Capture Reactions
- ☰ 8.5.4.4. Transfer Reactions
- ☰ 8.5.4.5. Charge-Exchange Reactions
-
- ☰ 8.5.5. Compound Nucleus
- ☰ 8.5.5.1. Formation
- ☰ 8.5.5.2. Decay Channels
- ☰ 8.5.5.3. Resonances
-
-
- ☰ 8.6. Nuclear Fission and Fusion
- ☰ 8.6.1. Nuclear Fission
- ☰ 8.6.1.1. Fission Process
- ☰ 8.6.1.2. Fission Fragments
- ☰ 8.6.1.3. Energy Release
- ☰ 8.6.1.4. Neutron Production
-
- ☰ 8.6.2. Chain Reactions
- ☰ 8.6.2.1. Criticality
- ☰ 8.6.2.2. Multiplication Factor
- ☰ 8.6.2.3. Critical Mass
-
- ☰ 8.6.3. Nuclear Reactors
- ☰ 8.6.3.1. Reactor Components
- ☰ 8.6.3.2. Fuel
- ☰ 8.6.3.3. Moderator
- ☰ 8.6.3.4. Control Rods
- ☰ 8.6.3.5. Coolant
-
- ☰ 8.6.4. Nuclear Fusion
- ☰ 8.6.4.1. Fusion Reactions
- ☰ 8.6.4.2. Coulomb Barrier
-
- ☰ 8.6.5. Stellar Fusion
- ☰ 8.6.5.1. Proton-Proton Chain
- ☰ 8.6.5.2. CNO Cycle
- ☰ 8.6.5.3. Nucleosynthesis
-
- ☰ 8.6.6. Controlled Fusion
- ☰ 8.6.6.1. Magnetic Confinement
- ☰ 8.6.6.2. Tokamaks
- ☰ 8.6.6.3. Inertial Confinement
-
-
- ☰ 8.7. Particle Physics Foundations
- ☰ 8.7.1. From Atoms to Elementary Particles
- ☰ 8.7.1.1. Discovery of the Electron
- ☰ 8.7.1.2. Discovery of the Nucleus
- ☰ 8.7.1.3. Discovery of the Neutron
- ☰ 8.7.1.4. Discovery of Antimatter
-
- ☰ 8.7.2. Classification of Particles
- ☰ 8.7.2.1. Elementary Particles
- ☰ 8.7.2.2. Composite Particles
- ☰ 8.7.2.3. Fermions
- ☰ 8.7.2.4. Bosons
-
- ☰ 8.7.3. Antiparticles
- ☰ 8.7.3.1. Matter and Antimatter
- ☰ 8.7.3.2. Pair Production
- ☰ 8.7.3.3. Annihilation
-
- ☰ 8.7.4. Relativistic Particle Kinematics
- ☰ 8.7.4.1. Four-Momentum
- ☰ 8.7.4.2. Invariant Mass
-
- ☰ 8.7.5. Particle Decays
- ☰ 8.7.5.1. Decay Width
- ☰ 8.7.5.2. Lifetime
- ☰ 8.7.5.3. Branching Ratio
- ☰ 8.7.5.4. Conservation Laws
-
-
- ☰ 8.8. Quarks and Hadrons
- ☰ 8.8.1. Quarks
- ☰ 8.8.1.1. Up Quark
- ☰ 8.8.1.2. Down Quark
- ☰ 8.8.1.3. Strange Quark
- ☰ 8.8.1.4. Charm Quark
- ☰ 8.8.1.5. Top Quark
- ☰ 8.8.1.6. Bottom Quark
-
- ☰ 8.8.2. Quark Properties
- ☰ 8.8.2.1. Mass
- ☰ 8.8.2.2. Flavor
- ☰ 8.8.2.3. Color Charge
-
- ☰ 8.8.3. Hadrons
- ☰ 8.8.3.1. Baryons
- ☰ 8.8.3.2. Mesons
-
- ☰ 8.8.4. Baryon Structure
- ☰ 8.8.4.1. Proton Quark Structure
- ☰ 8.8.4.2. Neutron Quark Structure
- ☰ 8.8.4.3. Other Baryons
-
- ☰ 8.8.5. Meson Structure
- ☰ 8.8.5.1. Pions
- ☰ 8.8.5.2. Kaons
- ☰ 8.8.5.3. Heavy Mesons
-
- ☰ 8.8.6. Confinement
- ☰ 8.8.6.1. Color Confinement
- ☰ 8.8.6.2. Hadronization
- ☰ 8.8.6.3. Jets
-
-
- ☰ 8.9. Leptons and Neutrinos
- ☰ 8.9.1. Charged Leptons
- ☰ 8.9.1.1. Electron
- ☰ 8.9.1.2. Muon
- ☰ 8.9.1.3. Tau
-
- ☰ 8.9.2. Neutrinos
- ☰ 8.9.2.1. Electron Neutrino
- ☰ 8.9.2.2. Muon Neutrino
- ☰ 8.9.2.3. Tau Neutrino
-
- ☰ 8.9.3. Neutrino Interactions
- ☰ 8.9.3.1. Weak Interactions
- ☰ 8.9.3.2. Neutrino Detection
-
- ☰ 8.9.4. Neutrino Oscillations
- ☰ 8.9.4.1. Neutrino Flavor
- ☰ 8.9.4.2. Flavor Oscillation
- ☰ 8.9.4.3. Neutrino Mass
-
-
- ☰ 8.10. Fundamental Interactions
- ☰ 8.10.1. Four Fundamental Interactions
- ☰ 8.10.1.1. Electromagnetism
- ☰ 8.10.1.2. Strong Interaction
- ☰ 8.10.1.3. Weak Interaction
-
- ☰ 8.10.2. Exchange Particles
- ☰ 8.10.2.1. Photons
- ☰ 8.10.2.2. Gluons
- ☰ 8.10.2.3. W Bosons
- ☰ 8.10.2.4. Z Boson
-
- ☰ 8.10.3. Electromagnetic Interaction
- ☰ 8.10.3.1. Photon Exchange
-
- ☰ 8.10.4. Strong Interaction
- ☰ 8.10.4.1. Color Charge
- ☰ 8.10.4.2. Gluons
- ☰ 8.10.4.3. Quantum Chromodynamics
-
- ☰ 8.10.5. Weak Interaction
- ☰ 8.10.5.1. Beta Decay
- ☰ 8.10.5.2. W and Z Bosons
- ☰ 8.10.5.3. Flavor-Changing Processes
-
-
- ☰ 8.11. The Standard Model
- ☰ 8.11.1. Overview of the Standard Model
- ☰ 8.11.1.1. Matter Particles
- ☰ 8.11.1.2. Force Carriers
- ☰ 8.11.1.3. Particle Generations
-
- ☰ 8.11.2. Fermions
- ☰ 8.11.2.1. Quarks
- ☰ 8.11.2.2. Leptons
-
- ☰ 8.11.3. Gauge Bosons
- ☰ 8.11.3.1. Photon
- ☰ 8.11.3.2. Gluons
- ☰ 8.11.3.3. W Bosons
- ☰ 8.11.3.4. Z Boson
-
- ☰ 8.11.4. Higgs Field and Higgs Boson
- ☰ 8.11.4.1. Higgs Field
- ☰ 8.11.4.2. Spontaneous Symmetry Breaking
- ☰ 8.11.4.3. Particle Masses
- ☰ 8.11.4.4. Higgs Boson
-
- ☰ 8.11.5. Standard Model Interactions
- ☰ 8.11.5.1. Electroweak Theory
- ☰ 8.11.5.2. Quantum Chromodynamics
-
- ☰ 8.11.6. Limitations of the Standard Model
- ☰ 8.11.6.1. Gravity
- ☰ 8.11.6.2. Dark Matter
- ☰ 8.11.6.3. Neutrino Masses
- ☰ 8.11.6.4. Matter-Antimatter Asymmetry
-
-
- ☰ 8.12. Symmetries and Conservation Laws
- ☰ 8.12.1. Conservation Laws
- ☰ 8.12.1.1. Energy
-
- ☰ 8.12.2. Particle Quantum Numbers
- ☰ 8.12.2.1. Baryon Number
- ☰ 8.12.2.2. Lepton Number
- ☰ 8.12.2.3. Strangeness
- ☰ 8.12.2.4. Charm
- ☰ 8.12.2.5. Isospin
-
- ☰ 8.12.3. Symmetries
- ☰ 8.12.3.1. Charge Conjugation
- ☰ 8.12.3.2. Parity
- ☰ 8.12.3.3. Time Reversal
-
- ☰ 8.12.4. CP Symmetry
- ☰ 8.12.4.1. CP Conservation
- ☰ 8.12.4.2. CP Violation
- ☰ 8.12.4.3. Matter-Antimatter Asymmetry
-
-
- ☰ 8.13. Particle Accelerators
- ☰ 8.13.1. Principles of Acceleration
- ☰ 8.13.1.1. Electric-Field Acceleration
- ☰ 8.13.1.2. Magnetic-Field Steering
-
- ☰ 8.13.2. Linear Accelerators
- ☰ 8.13.2.1. LINACs
- ☰ 8.13.2.2. Radio-Frequency Acceleration
-
- ☰ 8.13.3. Cyclotrons
- ☰ 8.13.3.1. Cyclotron Principle
- ☰ 8.13.3.2. Cyclotron Frequency
- ☰ 8.13.3.3. Limitations
-
- ☰ 8.13.4. Synchrotrons
- ☰ 8.13.4.1. Circular Accelerators
- ☰ 8.13.4.2. Magnetic Focusing
- ☰ 8.13.4.3. RF Cavities
-
- ☰ 8.13.5. Colliders
- ☰ 8.13.5.1. Fixed-Target Experiments
- ☰ 8.13.5.2. Collider Experiments
- ☰ 8.13.5.3. Center-of-Mass Energy
-
- ☰ 8.13.6. Major Particle Accelerators
- ☰ 8.13.6.1. Large Hadron Collider
- ☰ 8.13.6.2. Electron-Positron Colliders
- ☰ 8.13.6.3. Heavy-Ion Colliders
-
-
- ☰ 8.14. Particle Detectors
- ☰ 8.14.1. Principles of Particle Detection
- ☰ 8.14.1.1. Ionization
- ☰ 8.14.1.2. Excitation
- ☰ 8.14.1.3. Energy Deposition
- ☰ 8.14.1.4. Particle Identification
-
- ☰ 8.14.2. Tracking Detectors
- ☰ 8.14.2.1. Cloud Chambers
- ☰ 8.14.2.2. Bubble Chambers
- ☰ 8.14.2.3. Wire Chambers
- ☰ 8.14.2.4. Silicon Trackers
-
- ☰ 8.14.3. Calorimeters
- ☰ 8.14.3.1. Electromagnetic Calorimeters
- ☰ 8.14.3.2. Hadronic Calorimeters
- ☰ 8.14.3.3. Shower Development
-
- ☰ 8.14.4. Cherenkov Detectors
- ☰ 8.14.4.1. Cherenkov Radiation
- ☰ 8.14.4.2. Particle Velocity Measurement
-
- ☰ 8.14.5. Time-of-Flight Detectors
- ☰ 8.14.5.1. Timing Measurements
- ☰ 8.14.5.2. Particle Identification
-
- ☰ 8.14.6. Modern Detector Systems
- ☰ 8.14.6.1. Tracking
- ☰ 8.14.6.2. Muon Systems
- ☰ 8.14.6.3. Trigger Systems
-
-
-
- ☰ 9. Part VIII: Condensed Matter and Applied Physics
- ☰ 9.1. Solid-State Physics
- ☰ 9.1.1. Crystal Structure
- ☰ 9.1.1.1. Crystal Lattices
- ☰ 9.1.1.2. Unit Cells
- ☰ 9.1.1.3. Bravais Lattices
-
- ☰ 9.1.2. Electronic Properties
- ☰ 9.1.2.1. Energy Bands
- ☰ 9.1.2.2. Conductors
- ☰ 9.1.2.3. Insulators
- ☰ 9.1.2.4. Semiconductors
-
- ☰ 9.1.3. Semiconductor Physics
- ☰ 9.1.3.1. Intrinsic Semiconductors
- ☰ 9.1.3.2. Doping
- ☰ 9.1.3.3. p-Type Materials
- ☰ 9.1.3.4. n-Type Materials
- ☰ 9.1.3.5. p-n Junctions
-
- ☰ 9.1.4. Superconductivity
- ☰ 9.1.4.1. Zero Resistance
- ☰ 9.1.4.2. Meissner Effect
- ☰ 9.1.4.3. Critical Temperature
-
-
- ☰ 9.2. Electronics
- ☰ 9.2.1. Semiconductor Diodes
- ☰ 9.2.1.1. p-n Junction
- ☰ 9.2.1.2. Diode Characteristics
- ☰ 9.2.1.3. Rectifiers
-
- ☰ 9.2.2. Transistors
- ☰ 9.2.2.1. Bipolar Junction Transistors
- ☰ 9.2.2.2. Field-Effect Transistors
-
- ☰ 9.2.3. Operational Amplifiers
- ☰ 9.2.3.1. Ideal Op-Amp
- ☰ 9.2.3.2. Amplifiers
- ☰ 9.2.3.3. Comparators
-
- ☰ 9.2.4. Digital Electronics
- ☰ 9.2.4.1. Binary Numbers
- ☰ 9.2.4.2. Logic Gates
- ☰ 9.2.4.3. Boolean Algebra
- ☰ 9.2.4.4. Basic Digital Circuits
-
-
-
- ☰ 10. Part IX: Astrophysics and Cosmology
- ☰ 10.1. Astrophysics
- ☰ 10.1.1. Measuring the Universe
- ☰ 10.1.1.1. Astronomical Distances
- ☰ 10.1.1.2. Parallax
- ☰ 10.1.1.3. Luminosity
- ☰ 10.1.1.4. Apparent Brightness
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- ☰ 10.1.2. Stars
- ☰ 10.1.2.1. Stellar Spectra
- ☰ 10.1.2.2. Hertzsprung-Russell Diagram
- ☰ 10.1.2.3. Stellar Evolution
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- ☰ 10.1.3. Stellar Remnants
- ☰ 10.1.3.1. White Dwarfs
- ☰ 10.1.3.2. Neutron Stars
- ☰ 10.1.3.3. Black Holes
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- ☰ 10.1.4. Galaxies
- ☰ 10.1.4.1. Structure of Galaxies
- ☰ 10.1.4.2. Milky Way
- ☰ 10.1.4.3. Galaxy Classification
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- ☰ 10.2. Cosmology
- ☰ 10.2.1. Expanding Universe
- ☰ 10.2.1.1. Hubble's Law
- ☰ 10.2.1.2. Cosmological Redshift
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- ☰ 10.2.2. Big Bang Cosmology
- ☰ 10.2.2.1. Early Universe
- ☰ 10.2.2.2. Cosmic Microwave Background
- ☰ 10.2.2.3. Primordial Nucleosynthesis
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- ☰ 10.2.3. Dark Matter
- ☰ 10.2.3.1. Evidence for Dark Matter
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