4.1.8. Phase Changes
Table of Contents
States and Changes of State
Matter can exist in different physical states, mainly solid, liquid, and gas. A phase change happens when a substance moves from one state to another without changing its chemical identity. Water, for example, can be ice, liquid water, or water vapor, but in all three cases it is still $H_2O$.
Phase changes are caused by changes in energy, usually by heating or cooling, and sometimes by changing pressure. In this chapter, the main idea is that during a phase change, the substance is changing its internal arrangement rather than simply changing its temperature.
Common Types of Phase Changes
The most familiar phase changes are melting, freezing, vaporization, condensation, sublimation, and deposition.
Melting is the change from solid to liquid. Freezing is the reverse process, from liquid to solid. Vaporization is the change from liquid to gas. Condensation is the reverse, from gas to liquid. Sublimation is the change directly from solid to gas, and deposition is the reverse, from gas to solid.
The table below summarizes these changes.
| Initial state | Final state | Name of phase change |
|---|---|---|
| Solid | Liquid | Melting |
| Liquid | Solid | Freezing |
| Liquid | Gas | Vaporization |
| Gas | Liquid | Condensation |
| Solid | Gas | Sublimation |
| Gas | Solid | Deposition |
What Happens Microscopically
In a solid, particles are closely packed and mostly vibrate around fixed positions. In a liquid, particles remain close together but can move around one another. In a gas, particles are much farther apart and move freely.
When a substance melts, the added energy weakens the tight binding that keeps particles in fixed positions. When a liquid boils or evaporates, energy allows particles to escape into the gas phase. When a gas condenses or a liquid freezes, energy is removed, and particles become more ordered.
A phase change is therefore a change in the arrangement and motion of particles.
Temperature During a Phase Change
One of the most important facts about phase changes is that the temperature of a pure substance often remains constant while the phase change is happening, as long as the pressure stays constant.
For example, when ice at $0^\circ \mathrm{C}$ melts, heat can be added and the temperature still stays at $0^\circ \mathrm{C}$ until all the ice has melted. The energy goes into changing the phase, not into increasing the temperature.
During a phase change, added or removed heat usually changes the state of the substance, not its temperature.
This is why heating curves often show flat sections where temperature does not rise even though energy continues to enter the substance.
Melting and Freezing
Melting happens when a solid absorbs enough energy for its particles to break out of their fixed arrangement. The temperature at which this occurs is the melting point. For a pure substance at a given pressure, melting happens at a definite temperature.
Freezing is the reverse process. As energy is removed from a liquid, particle motion decreases and the particles settle into a more rigid arrangement.
For most substances, the freezing point and melting point are the same at the same pressure.
Vaporization and Condensation
Vaporization can happen in two ways, evaporation and boiling. Evaporation occurs at the surface of a liquid and can happen at many temperatures. Boiling occurs throughout the liquid and happens at a specific temperature called the boiling point, for a given pressure.
Condensation happens when gas particles lose enough energy to return to the liquid state.
Boiling is strongly affected by pressure. At lower pressure, the boiling point is lower. At higher pressure, the boiling point is higher. This is why water boils at a lower temperature on a mountain than at sea level.
Sublimation and Deposition
Some substances can change directly between solid and gas without becoming liquid. This process is sublimation if the change is from solid to gas, and deposition if the change is from gas to solid.
Dry ice is a common example. It is solid carbon dioxide, and at ordinary atmospheric conditions it changes directly into gas instead of melting into a liquid.
Heating Curve
A heating curve helps show how temperature changes as heat is added to a substance. The sloped parts of the graph represent temperature change within one phase. The flat parts represent phase changes.
The flat part during melting shows that energy is being used to change solid into liquid. The flat part during boiling shows that energy is being used to change liquid into gas.
Energy and Phase Change
A phase change requires energy input or energy release. Melting, vaporization, and sublimation require energy to be absorbed. Freezing, condensation, and deposition release energy.
The energy involved in changing phase is connected to intermolecular forces. More energy is needed when particles must be separated more strongly, especially in the transition from liquid to gas.
Phase changes involve energy transfer even when the temperature stays constant.
This idea is central in thermodynamics. A substance can absorb heat without becoming hotter if that heat is being used for a phase change.
Phase Equilibrium
At the temperature where a phase change occurs, two phases can coexist in equilibrium. For example, at the melting point, solid and liquid can exist together. At the boiling point, liquid and gas can exist together.
This means that melting and freezing, or vaporization and condensation, can occur at the same time at equal rates under the right conditions.
A glass of ice water is a simple example of solid and liquid existing together in phase equilibrium.
Effect of Pressure
Pressure affects phase changes, especially those involving gases. Increasing pressure generally makes it harder for a liquid to become a gas, so the boiling point rises. Lowering pressure makes boiling easier, so the boiling point falls.
For many substances, pressure also affects melting point, though usually less dramatically. Water is a special case because ice is less dense than liquid water, which leads to some unusual behavior.
Phase Diagram, Basic Idea
A phase diagram shows which state of matter is stable for different values of temperature and pressure. Each region corresponds to a phase, and the boundaries between regions represent conditions where phase changes occur.
A complete study of phase diagrams belongs in a more advanced treatment, but the main point here is that phase depends not only on temperature, but also on pressure.
Everyday Examples
Many everyday processes involve phase changes. Ice melting in a drink is melting. Water droplets forming on a cold glass are condensation. Frost forming on a window is deposition. Clothes drying involve vaporization. Snow disappearing on a cold dry day without first turning to liquid is sublimation.
These examples show that phase changes are not rare or exotic. They are part of daily life.
Key Ideas to Remember
Phase changes are changes of physical state, not chemical composition. They happen because energy is transferred to or from a substance. During a phase change, the temperature often remains constant while the substance changes state. Pressure can affect when phase changes occur, especially boiling. The main phase changes are melting, freezing, vaporization, condensation, sublimation, and deposition.
A phase change is a change in state of matter caused by energy transfer and sometimes pressure change, while the substance itself remains chemically the same.
For a pure substance at fixed pressure, melting and boiling occur at specific temperatures, and temperature usually stays constant until the phase change is complete.
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- ☰ 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
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- ☰ 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
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- ☰ 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
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- ☰ 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
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- ☰ 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
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- ☰ 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
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- ☰ 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
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- ☰ 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
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- ☰ 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
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- ☰ 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
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- ☰ 2.2.2. Newton's First Law
- ☰ 2.2.2.1. Inertia
- ☰ 2.2.2.2. Inertial Reference Frames
- ☰ 2.2.2.3. Equilibrium
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- ☰ 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
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- ☰ 2.2.4. Newton's Third Law
- ☰ 2.2.4.1. Action-Reaction Pairs
- ☰ 2.2.4.2. Interaction Forces
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- ☰ 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
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- ☰ 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
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- ☰ 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
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- ☰ 2.3.2. Kinetic Energy
- ☰ 2.3.2.1. Translational Kinetic Energy
- ☰ 2.3.2.2. Work-Energy Theorem
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- ☰ 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
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- ☰ 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
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- ☰ 2.3.5. Power
- ☰ 2.3.5.1. Average Power
- ☰ 2.3.5.2. Instantaneous Power
- ☰ 2.3.5.3. Efficiency
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- ☰ 2.4. Momentum and Collisions
- ☰ 2.4.1. Linear Momentum
- ☰ 2.4.1.1. Momentum
- ☰ 2.4.1.2. Momentum and Force
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- ☰ 2.4.2. Impulse
- ☰ 2.4.2.1. Impulse
- ☰ 2.4.2.2. Impulse-Momentum Theorem
- ☰ 2.4.2.3. Force-Time Graphs
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- ☰ 2.4.3. Conservation of Momentum
- ☰ 2.4.3.1. Isolated Systems
- ☰ 2.4.3.2. Center-of-Mass Motion
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- ☰ 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
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- ☰ 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
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- ☰ 2.4.6. Rocket Motion
- ☰ 2.4.6.1. Variable-Mass Systems
- ☰ 2.4.6.2. Rocket Equation
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- ☰ 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
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- ☰ 2.5.2. Torque
- ☰ 2.5.2.1. Torque
- ☰ 2.5.2.2. Lever Arm
- ☰ 2.5.2.3. Vector Definition of Torque
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- ☰ 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
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- ☰ 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
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- ☰ 2.5.5. Angular Momentum
- ☰ 2.5.5.1. Angular Momentum
- ☰ 2.5.5.2. Conservation of Angular Momentum
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- ☰ 2.5.6. Rolling Motion
- ☰ 2.5.6.1. Rolling Without Slipping
- ☰ 2.5.6.2. Translational and Rotational Energy
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- ☰ 2.5.7. Static Equilibrium
- ☰ 2.5.7.1. Conditions for Equilibrium
- ☰ 2.5.7.2. Center of Gravity
- ☰ 2.5.7.3. Stability
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- ☰ 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
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- ☰ 2.6.2. Gravitational Field
- ☰ 2.6.2.1. Gravitational Field Strength
- ☰ 2.6.2.2. Field of Spherical Bodies
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- ☰ 2.6.3. Gravitational Potential
- ☰ 2.6.3.1. Gravitational Potential Energy
- ☰ 2.6.3.2. Gravitational Potential
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- ☰ 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
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- ☰ 2.6.5. Satellites and Spaceflight
- ☰ 2.6.5.1. Geostationary Satellites
- ☰ 2.6.5.2. Escape Velocity
- ☰ 2.6.5.3. Orbital Energy
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- ☰ 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
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- ☰ 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
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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. Forced Oscillations and Resonance
- ☰ 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
- ☰ 3.2.4.2. Strings
- ☰ 3.2.4.3. Pipes
- ☰ 3.2.4.4. Harmonics
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- ☰ 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
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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
- ☰ 3.3.2.1. Hydrostatic Pressure
- ☰ 3.3.2.2. Pascal's Principle
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- ☰ 3.3.3. Buoyancy
- ☰ 3.3.3.1. Archimedes' Principle
- ☰ 3.3.3.2. Floating and Sinking
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- ☰ 3.3.4. Fluid Dynamics
- ☰ 3.3.4.1. Flow Rate
- ☰ 3.3.4.2. Continuity Equation
- ☰ 3.3.4.3. Bernoulli's Equation
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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
- ☰ 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
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- ☰ 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
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- ☰ 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
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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
- ☰ 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
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- ☰ 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
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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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