10.2.2.2. Cosmic Microwave Background
Table of Contents
A Relic Glow from the Early Universe
The cosmic microwave background, often called the CMB, is faint radiation that fills all of space. It is one of the strongest pieces of evidence that the universe was once much hotter and denser than it is today. This radiation is not coming from stars, galaxies, or planets. Instead, it is leftover light from a very early stage of the universe.
Today, this radiation is observed mainly in the microwave part of the electromagnetic spectrum. That is why it is called the cosmic microwave background. It arrives from every direction in the sky and is nearly uniform, which tells us that the early universe was extremely similar from place to place.
The cosmic microwave background is relic radiation from the early universe. It is not produced by nearby astronomical objects, but is a leftover signal from a hot, dense cosmic past.
Why the Early Universe Was Opaque
In the earliest stages, the universe was so hot that matter could not exist in the form of neutral atoms. Electrons and nuclei moved freely in a hot plasma. Light could not travel very far without interacting with these charged particles, especially the free electrons. Photons were constantly scattered, so the universe was opaque, like a dense fog.
As the universe expanded, it cooled. Eventually, the temperature dropped enough for electrons and nuclei to combine into neutral atoms, mostly hydrogen and helium. Once this happened, there were far fewer free electrons to scatter light. Photons could then travel long distances without being stopped. The universe became transparent.
This event is called recombination, although it was really the first formation of neutral atoms on a large scale. The release of photons from this era is what we now observe as the CMB.
Last Scattering and the Surface We See
The CMB is often described as coming from the surface of last scattering. This does not mean there is a solid surface somewhere in space. It means that the photons we detect today were last strongly scattered at a particular time in cosmic history, when the universe became transparent.
When we look in any direction, we are seeing back to that moment. Since light takes time to travel, observing the CMB is like looking at a baby picture of the universe.
Why It Is Microwave Radiation Today
When the CMB was released, it had a much higher temperature and much shorter wavelength than it does now. As the universe expanded, the light traveling through it was stretched. Its wavelength increased, and its frequency decreased. This is a result of cosmological expansion.
Because of this stretching, radiation that was once much hotter is now seen as microwave radiation. The present temperature of the CMB is about
$$
T \approx 2.725 \,\text{K}
$$
which is only a few degrees above absolute zero.
As the universe expands, the wavelength of the CMB stretches with it. This shifts the radiation to longer wavelengths and lowers its observed temperature.
A Nearly Perfect Thermal Spectrum
One of the most remarkable facts about the CMB is that it has an almost perfect blackbody spectrum. A blackbody is an ideal object that emits radiation with a spectrum determined only by its temperature. The CMB matches this form extremely well.
This is important because a blackbody spectrum is exactly what we expect from radiation that was once in thermal equilibrium with matter in a hot dense universe. In other words, the CMB does not just exist, it has the precise kind of spectrum that the Big Bang model predicts.
| Property | Value | Meaning |
|---|---|---|
| Present temperature | $2.725 \,\text{K}$ | Current thermal temperature of the CMB |
| Main region of spectrum | Microwave | Due to redshift from cosmic expansion |
| Sky coverage | All directions | Shows the radiation is cosmic in origin |
| Spectrum type | Blackbody | Evidence of a hot equilibrium past |
Uniformity and Tiny Anisotropies
The CMB is extremely uniform across the sky. The temperature is almost the same in every direction. This large scale smoothness tells us that the early universe was very homogeneous.
However, the CMB is not perfectly uniform. There are tiny temperature variations, called anisotropies. These differences are very small, about one part in $10^5$. They are crucial because they reveal slight density differences in the early universe. Regions that were slightly denser later grew, under gravity, into galaxies and clusters of galaxies.
So the CMB gives us two important messages at once. First, the universe was nearly the same everywhere. Second, it had tiny irregularities that became the seeds of cosmic structure.
The small anisotropies in the CMB are essential. They are the early density variations from which galaxies and large scale structure eventually formed.
The Dipole Anisotropy
Not all temperature variation in the CMB has the same origin. One important pattern is the dipole anisotropy. In one direction the CMB appears slightly hotter, and in the opposite direction slightly cooler. This is mainly caused by our motion relative to the rest frame of the CMB.
If we move toward radiation coming from one direction, its frequency is shifted upward and it looks slightly hotter. In the opposite direction, it looks slightly cooler. This is a Doppler effect.
This dipole pattern is different from the smaller intrinsic anisotropies that reflect conditions in the early universe itself.
What the CMB Tells Us About the Universe
The cosmic microwave background is a powerful source of information about cosmology. Its existence supports the idea of a hot early universe. Its blackbody spectrum shows that matter and radiation were once in thermal equilibrium. Its tiny anisotropies reveal the initial conditions from which structure formed.
By studying the CMB in detail, scientists can estimate important properties of the universe, such as its age, composition, geometry, and the amount of ordinary matter and dark matter. The CMB also helps test models of the very early universe.
For a beginner, the central idea is simple. The CMB is ancient light, released when the universe became transparent, and still traveling through space today.
How It Was Discovered
The CMB was discovered in 1965 by Arno Penzias and Robert Wilson. They detected a persistent background microwave signal that seemed to come from every direction. At first it appeared as unwanted noise, but it turned out to be a major cosmological discovery.
Its detection strongly supported the Big Bang picture over models in which the universe had always looked roughly the same on large scales.
A Simple Picture to Remember
A useful mental image is to think of the early universe as a glowing hot fog. While the fog was dense and ionized, light could not move freely. When the fog cleared, light was released in all directions. That light has been traveling ever since. Over billions of years, cosmic expansion stretched it into microwaves. We now observe that ancient glow as the cosmic microwave background.
Key Facts
Important facts about the cosmic microwave background:
$T \approx 2.725 \,\text{K}$ today.
It fills space nearly uniformly in all directions.
It is relic radiation from the time the universe became transparent.
Its spectrum is an almost perfect blackbody spectrum.
Its tiny anisotropies trace the seeds of galaxies and large scale structure.
The cosmic microwave background is therefore one of the clearest windows into the early universe. It is ancient light that lets us observe conditions long before stars and galaxies had fully formed.
Views: 0
Where to Move
Move chapter:
- ☰ 1. Mathematical Foundations of Physics
- ☰ 1.1. Physical Quantities and Units
- ☰ 1.1.1. Physical Quantities
- ☰ 1.1.2. SI Base Units
- ☰ 1.1.3. Derived Units
- ☰ 1.1.4. Unit Conversions
- ☰ 1.1.5. Scientific Notation
- ☰ 1.1.6. Orders of Magnitude
- ☰ 1.1.7. Dimensional Analysis
- ☰ 1.1.8. Significant Figures
- ☰ 1.1.9. Measurement Uncertainty
-
- ☰ 1.2. Scalars and Vectors
- ☰ 1.2.1. Scalars and Vectors
- ☰ 1.2.2. Vector Notation
- ☰ 1.2.3. Vector Addition and Subtraction
- ☰ 1.2.4. Vector Components
- ☰ 1.2.5. Unit Vectors
- ☰ 1.2.6. Dot Product
- ☰ 1.2.7. Cross Product
- ☰ 1.2.8. Applications of Vectors in Physics
-
- ☰ 1.3. Coordinate Systems
- ☰ 1.3.1. Cartesian Coordinates
- ☰ 1.3.2. Polar Coordinates
- ☰ 1.3.3. Cylindrical Coordinates
- ☰ 1.3.4. Spherical Coordinates
- ☰ 1.3.5. Coordinate Transformations
-
- ☰ 1.4. Calculus for Physics
- ☰ 1.4.1. Functions and Graphs
- ☰ 1.4.2. Derivatives
- ☰ 1.4.3. Physical Meaning of Derivatives
- ☰ 1.4.4. Partial Derivatives
- ☰ 1.4.5. Integrals
- ☰ 1.4.6. Physical Meaning of Integrals
- ☰ 1.4.7. Differential Equations
- ☰ 1.4.8. Taylor Series and Approximations
-
-
- ☰ 2. Part I: Classical Mechanics
- ☰ 2.1. Kinematics
- ☰ 2.1.1. Motion in One Dimension
- ☰ 2.1.1.1. Position
- ☰ 2.1.1.2. Distance and Displacement
- ☰ 2.1.1.3. Speed and Velocity
- ☰ 2.1.1.4. Average Velocity
- ☰ 2.1.1.5. Instantaneous Velocity
- ☰ 2.1.1.6. Acceleration
-
- ☰ 2.1.2. Motion with Constant Acceleration
- ☰ 2.1.2.1. Kinematic Equations
- ☰ 2.1.2.2. Free Fall
- ☰ 2.1.2.3. Vertical Motion
- ☰ 2.1.2.4. Position-Time Graphs
- ☰ 2.1.2.5. Velocity-Time Graphs
- ☰ 2.1.2.6. Acceleration-Time Graphs
-
- ☰ 2.1.3. Motion in Two and Three Dimensions
- ☰ 2.1.3.1. Position Vectors
- ☰ 2.1.3.2. Velocity Vectors
- ☰ 2.1.3.3. Acceleration Vectors
- ☰ 2.1.3.4. Relative Motion
-
- ☰ 2.1.4. Projectile Motion
- ☰ 2.1.4.1. Horizontal Projection
- ☰ 2.1.4.2. Oblique Projection
- ☰ 2.1.4.3. Maximum Height
- ☰ 2.1.4.4. Time of Flight
- ☰ 2.1.4.5. Projectile Range
- ☰ 2.1.4.6. Trajectory Equation
-
- ☰ 2.1.5. Circular Motion
- ☰ 2.1.5.1. Angular Position
- ☰ 2.1.5.2. Angular Velocity
- ☰ 2.1.5.3. Angular Acceleration
- ☰ 2.1.5.4. Uniform Circular Motion
- ☰ 2.1.5.5. Centripetal Acceleration
-
-
- ☰ 2.2. Newton's Laws of Motion
- ☰ 2.2.1. Force
- ☰ 2.2.1.1. Concept of Force
- ☰ 2.2.1.2. Fundamental Forces
- ☰ 2.2.1.3. Contact Forces
- ☰ 2.2.1.4. Free-Body Diagrams
-
- ☰ 2.2.2. Newton's First Law
- ☰ 2.2.2.1. Inertia
- ☰ 2.2.2.2. Inertial Reference Frames
- ☰ 2.2.2.3. Equilibrium
-
- ☰ 2.2.3. Newton's Second Law
- ☰ 2.2.3.1. Force, Mass, and Acceleration
- ☰ 2.2.3.2. Net Force
- ☰ 2.2.3.3. Applications of F = ma
-
- ☰ 2.2.4. Newton's Third Law
- ☰ 2.2.4.1. Action-Reaction Pairs
- ☰ 2.2.4.2. Interaction Forces
-
- ☰ 2.2.5. Common Forces
- ☰ 2.2.5.1. Weight
- ☰ 2.2.5.2. Normal Force
- ☰ 2.2.5.3. Tension
- ☰ 2.2.5.4. Spring Force
- ☰ 2.2.5.5. Static Friction
- ☰ 2.2.5.6. Kinetic Friction
- ☰ 2.2.5.7. Drag Force
-
- ☰ 2.2.6. Applications of Newton's Laws
- ☰ 2.2.6.1. Connected Objects
- ☰ 2.2.6.2. Pulley Systems
- ☰ 2.2.6.3. Inclined Planes
- ☰ 2.2.6.4. Elevators
- ☰ 2.2.6.5. Circular Motion
-
-
- ☰ 2.3. Work and Energy
- ☰ 2.3.1. Work
- ☰ 2.3.1.1. Work Done by a Constant Force
- ☰ 2.3.1.2. Work Done by a Variable Force
- ☰ 2.3.1.3. Work from Force-Position Graphs
-
- ☰ 2.3.2. Kinetic Energy
- ☰ 2.3.2.1. Translational Kinetic Energy
- ☰ 2.3.2.2. Work-Energy Theorem
-
- ☰ 2.3.3. Potential Energy
- ☰ 2.3.3.1. Gravitational Potential Energy
- ☰ 2.3.3.2. Elastic Potential Energy
- ☰ 2.3.3.3. Potential-Energy Curves
-
- ☰ 2.3.4. Conservation of Energy
- ☰ 2.3.4.1. Mechanical Energy
- ☰ 2.3.4.2. Conservative Forces
- ☰ 2.3.4.3. Non-Conservative Forces
- ☰ 2.3.4.4. Conservation of Mechanical Energy
- ☰ 2.3.4.5. Energy Dissipation
-
- ☰ 2.3.5. Power
- ☰ 2.3.5.1. Average Power
- ☰ 2.3.5.2. Instantaneous Power
- ☰ 2.3.5.3. Efficiency
-
-
- ☰ 2.4. Momentum and Collisions
- ☰ 2.4.1. Linear Momentum
- ☰ 2.4.1.1. Momentum
- ☰ 2.4.1.2. Momentum and Force
-
- ☰ 2.4.2. Impulse
- ☰ 2.4.2.1. Impulse
- ☰ 2.4.2.2. Impulse-Momentum Theorem
- ☰ 2.4.2.3. Force-Time Graphs
-
- ☰ 2.4.3. Conservation of Momentum
- ☰ 2.4.3.1. Isolated Systems
- ☰ 2.4.3.2. Center-of-Mass Motion
-
- ☰ 2.4.4. Collisions
- ☰ 2.4.4.1. Elastic Collisions
- ☰ 2.4.4.2. Inelastic Collisions
- ☰ 2.4.4.3. Perfectly Inelastic Collisions
- ☰ 2.4.4.4. One-Dimensional Collisions
- ☰ 2.4.4.5. Two-Dimensional Collisions
-
- ☰ 2.4.5. Center of Mass
- ☰ 2.4.5.1. Center of Mass of Particles
- ☰ 2.4.5.2. Center of Mass of Continuous Objects
-
- ☰ 2.4.6. Rocket Motion
- ☰ 2.4.6.1. Variable-Mass Systems
- ☰ 2.4.6.2. Rocket Equation
-
-
- ☰ 2.5. Rotational Motion
- ☰ 2.5.1. Rotational Kinematics
- ☰ 2.5.1.1. Angular Displacement
- ☰ 2.5.1.2. Angular Velocity
- ☰ 2.5.1.3. Angular Acceleration
-
- ☰ 2.5.2. Torque
- ☰ 2.5.2.1. Torque
- ☰ 2.5.2.2. Lever Arm
- ☰ 2.5.2.3. Vector Definition of Torque
-
- ☰ 2.5.3. Moment of Inertia
- ☰ 2.5.3.1. Rotational Inertia
- ☰ 2.5.3.2. Common Moments of Inertia
- ☰ 2.5.3.3. Parallel-Axis Theorem
-
- ☰ 2.5.4. Rotational Dynamics
- ☰ 2.5.4.1. Newton's Second Law for Rotation
- ☰ 2.5.4.2. Rotational Kinetic Energy
- ☰ 2.5.4.3. Work and Power in Rotation
-
- ☰ 2.5.5. Angular Momentum
- ☰ 2.5.5.1. Angular Momentum
- ☰ 2.5.5.2. Conservation of Angular Momentum
-
- ☰ 2.5.6. Rolling Motion
- ☰ 2.5.6.1. Rolling Without Slipping
- ☰ 2.5.6.2. Translational and Rotational Energy
-
- ☰ 2.5.7. Static Equilibrium
- ☰ 2.5.7.1. Conditions for Equilibrium
- ☰ 2.5.7.2. Center of Gravity
- ☰ 2.5.7.3. Stability
-
-
- ☰ 2.6. Gravitation
- ☰ 2.6.1. Newton's Law of Gravitation
- ☰ 2.6.1.1. Universal Gravitation
- ☰ 2.6.1.2. Gravitational Constant
- ☰ 2.6.1.3. Superposition
-
- ☰ 2.6.2. Gravitational Field
- ☰ 2.6.2.1. Gravitational Field Strength
- ☰ 2.6.2.2. Field of Spherical Bodies
-
- ☰ 2.6.3. Gravitational Potential
- ☰ 2.6.3.1. Gravitational Potential Energy
- ☰ 2.6.3.2. Gravitational Potential
-
- ☰ 2.6.4. Planetary Motion
- ☰ 2.6.4.1. Kepler's Laws
- ☰ 2.6.4.2. Circular Orbits
- ☰ 2.6.4.3. Orbital Velocity
- ☰ 2.6.4.4. Orbital Period
-
- ☰ 2.6.5. Satellites and Spaceflight
- ☰ 2.6.5.1. Geostationary Satellites
- ☰ 2.6.5.2. Escape Velocity
- ☰ 2.6.5.3. Orbital Energy
-
-
-
- ☰ 3. Part II: Oscillations, Waves, and Fluids
- ☰ 3.1. Oscillations
- ☰ 3.1.1. Simple Harmonic Motion
- ☰ 3.1.1.1. Periodic Motion
- ☰ 3.1.1.2. Amplitude
- ☰ 3.1.1.3. Frequency and Period
- ☰ 3.1.1.4. Angular Frequency
- ☰ 3.1.1.5. SHM Equation
-
- ☰ 3.1.2. Mass-Spring Systems
- ☰ 3.1.2.1. Hooke's Law
- ☰ 3.1.2.2. Spring Oscillations
- ☰ 3.1.2.3. Energy in SHM
-
- ☰ 3.1.3. Pendulums
- ☰ 3.1.3.1. Simple Pendulum
- ☰ 3.1.3.2. Physical Pendulum
-
- ☰ 3.1.4. Damped Oscillations
- ☰ 3.1.4.1. Damping
- ☰ 3.1.4.2. Critical Damping
-
- ☰ 3.1.5. Forced Oscillations and Resonance
- ☰ 3.1.5.1. Driving Force
- ☰ 3.1.5.2. Resonance
- ☰ 3.1.5.3. Natural Frequency
-
-
- ☰ 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
-
- ☰ 3.2.2. Mathematical Description of Waves
- ☰ 3.2.2.1. Wave Function
- ☰ 3.2.2.2. Phase
- ☰ 3.2.2.3. Wave Equation
-
- ☰ 3.2.3. Superposition
- ☰ 3.2.3.1. Interference
- ☰ 3.2.3.2. Constructive Interference
- ☰ 3.2.3.3. Destructive Interference
-
- ☰ 3.2.4. Standing Waves
- ☰ 3.2.4.1. Nodes and Antinodes
- ☰ 3.2.4.2. Strings
- ☰ 3.2.4.3. Pipes
- ☰ 3.2.4.4. Harmonics
-
- ☰ 3.2.5. Sound Waves
- ☰ 3.2.5.1. Speed of Sound
- ☰ 3.2.5.2. Sound Intensity
- ☰ 3.2.5.3. Decibels
- ☰ 3.2.5.4. Beats
- ☰ 3.2.5.5. Doppler Effect
-
-
- ☰ 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
-
- ☰ 3.3.2. Fluid Statics
- ☰ 3.3.2.1. Hydrostatic Pressure
- ☰ 3.3.2.2. Pascal's Principle
-
- ☰ 3.3.3. Buoyancy
- ☰ 3.3.3.1. Archimedes' Principle
- ☰ 3.3.3.2. Floating and Sinking
-
- ☰ 3.3.4. Fluid Dynamics
- ☰ 3.3.4.1. Flow Rate
- ☰ 3.3.4.2. Continuity Equation
- ☰ 3.3.4.3. Bernoulli's Equation
-
- ☰ 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
-
-
-
- ☰ 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
- ☰ 4.1.4. Thermal Expansion
- ☰ 4.1.5. Heat and Internal Energy
- ☰ 4.1.6. Specific Heat Capacity
- ☰ 4.1.7. Calorimetry
- ☰ 4.1.8. Phase Changes
- ☰ 4.1.9. Latent Heat
- ☰ 4.1.10. Heat Transfer
-
- ☰ 4.2. Kinetic Theory of Gases
- ☰ 4.2.1. Ideal Gas Law
- ☰ 4.2.2. Molecular Interpretation of Pressure
- ☰ 4.2.3. Temperature and Molecular Kinetic Energy
- ☰ 4.2.4. RMS Molecular Speed
- ☰ 4.2.5. Maxwell-Boltzmann Distribution
- ☰ 4.2.6. Mean Free Path
-
- ☰ 4.3. Thermodynamics
- ☰ 4.3.1. Thermodynamic Systems
- ☰ 4.3.2. First Law of Thermodynamics
- ☰ 4.3.3. Isothermal Processes
- ☰ 4.3.4. Isobaric Processes
- ☰ 4.3.5. Isochoric Processes
- ☰ 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
-
-
- ☰ 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
- ☰ 5.1.4. Superposition
- ☰ 5.1.5. Electric Field
- ☰ 5.1.6. Electric Field Lines
- ☰ 5.1.7. Electric Dipoles
- ☰ 5.1.8. Electric Flux
- ☰ 5.1.9. Gauss's Law
-
- ☰ 5.2. Electric Potential
- ☰ 5.2.1. Electric Potential Energy
- ☰ 5.2.2. Electric Potential
- ☰ 5.2.3. Equipotential Surfaces
- ☰ 5.2.4. Relationship Between Potential and Field
- ☰ 5.2.5. Potential of Continuous Charge Distributions
-
- ☰ 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
-
- ☰ 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
-
- ☰ 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
-
- ☰ 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
-
- ☰ 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
-
- ☰ 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
-
- ☰ 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
-
-
- ☰ 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
-
- ☰ 10.1.2. Stars
- ☰ 10.1.2.1. Stellar Spectra
- ☰ 10.1.2.2. Hertzsprung-Russell Diagram
- ☰ 10.1.2.3. Stellar Evolution
-
- ☰ 10.1.3. Stellar Remnants
- ☰ 10.1.3.1. White Dwarfs
- ☰ 10.1.3.2. Neutron Stars
- ☰ 10.1.3.3. Black Holes
-
- ☰ 10.1.4. Galaxies
- ☰ 10.1.4.1. Structure of Galaxies
- ☰ 10.1.4.2. Milky Way
- ☰ 10.1.4.3. Galaxy Classification
-
-
- ☰ 10.2. Cosmology
- ☰ 10.2.1. Expanding Universe
- ☰ 10.2.1.1. Hubble's Law
- ☰ 10.2.1.2. Cosmological Redshift
-
- ☰ 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
-
- ☰ 10.2.3. Dark Matter
- ☰ 10.2.3.1. Evidence for Dark Matter
-
-
-