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Absolutely Small - Michael D. Fayer [0]

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Table of Contents

Title Page

Copyright Page

Preface

Chapter 1 - Schrödinger’s Cat

SCHRÖDINGER’S CAT

NOT LIKE FLIPPING COINS

REAL PHENOMENA CAN BEHAVE LIKE SCHRÖDINGER’S CATS

Chapter 2 - Size Is Absolute

SIZE IS RELATIVE IN EVERYDAY LIFE

OBSERVATION METHOD CAN MATTER

BIG OR SMALL—IT’S THE SIZE OF THE DISTURBANCE

CAUSALITY FOR BIG OBJECTS

NONNEGLIGIBLE DISTURBANCES MATTER

THERE IS ALWAYS A DISTURBANCE

SIZE IS ABSOLUTE

CAN’T CALCULATE THE FUTURE—ONLY PROBABILITIES

Chapter 3 - Some Things About Waves

WHAT ARE WAVES?

WAVES HAVE VELOCITIES AND FREQUENCIES

OCEAN WAVES

SOUND WAVES

CLASSICAL LIGHT WAVES

VISIBLE LIGHT

ADDING WAVES TOGETHER—INTERFERENCE

INTERFERENCE PATTERNS AND THE OPTICAL INTERFEROMETER

Chapter 4 - The Photoelectric Effect and Einstein’s Explanation

THE PHOTOELECTRIC EFFECT

THE WAVE PICTURE DOESN’T WORK

EINSTEIN GIVES THE EXPLANATION

RED LIGHT EJECTS SLOWER ELECTRONS THAN BLUE LIGHT

VERY RED LIGHT DOES NOT EJECT ELECTRONS

HOW FAST IS AN EJECTED ELECTRON

Chapter 5 - Light: Waves or Particles?

CLASSICAL DESCRIPTION OF INTERFERENCE DOESN’T WORK FOR PHOTONS

A NEW DESCRIPTION OF PHOTONS IN THE INTERFEROMETER

A PHOTON INTERFERES WITH ITSELF

A PHOTON CAN BE IN TWO PLACES AT ONCE

BACK TO SCHRÖDINGER’S CATS

BACK TO THE PHOTOELECTRIC EFFECT

Chapter 6 - How Big Is a Photon and the Heisenberg Uncertainty Principle

PARTICLES HAVE WAVELENGTHS

WHAT A FREE PARTICLE WAVEFUNCTION LOOKS LIKE

A PARTICLE WITH WELL-DEFINED MOMENTUM IS SPREAD OVER ALL SPACE

INTERFERENCE OF WAVES WITH DIFFERENT WAVELENGTHS

THE SUPERPOSITION PRINCIPLE

WHERE IS A PARTICLE WHEN IT IS IN A MOMENTUM SUPERPOSITION STATE?

THE HEISENBERG UNCERTAINTY PRINCIPLE

Chapter 7 - Photons, Electrons, and Baseballs

WAVES OR PARTICLES?

DIFFRACTION OF LIGHT

ELECTRONS AND PHOTONS ARE PARTICLES AND WAVES, BUT BASEBALLS ONLY PARTICLES

Chapter 8 - Quantum Racquetball and the Color of Fruit

THE PARTICLE IN A BOX—CLASSICAL

PARTICLE IN A BOX—QUANTUM

ENERGIES OF A QUANTUM PARTICLE IN A BOX

PARTICLE IN A BOX RESULT RELATED TO REAL SYSTEMS

Chapter 9 - The Hydrogen Atom: The History

THE SOLAR BLACK BODY RADIATION SPECTRUM

BOHR’S HYDROGEN ATOM THEORY—NOT QUITE THERE

Chapter 10 - The Hydrogen Atom: Quantum Theory

THE SCHRÖDINGER EQUATION

WHAT THE SCHRÖDINGER EQUATION TELLS US ABOUT HYDROGEN

THERE ARE FOUR QUANTUM NUMBERS

HYDROGEN ATOM ENERGY LEVELS

HYDROGEN ATOM s ORBITALS

SPATIAL DISTRIBUTION OF s ORBITALS

THE RADIAL DISTRIBUTION FUNCTION

THE SHAPES OF THE p ORBITALS

THE SHAPES OF THE d ORBITALS

Chapter 11 - Many Electron Atoms and the Periodic Table of Elements

HYDROGEN IS DIFFERENT

THE ORBITAL SHAPES MATTER FOR ATOMS LARGER THAN HYDROGEN

MANY ELECTRON ATOM ENERGY LEVELS

THE THREE RULES FOR PUTTING ELECTRONS IN ENERGY LEVELS

THE PERIODIC TABLE OF ELEMENTS

Chapter 12 - The Hydrogen Molecule and the Covalent Bond

TWO HYDROGEN ATOMS THAT ARE FAR APART

TWO HYDROGEN ATOMS BROUGHT CLOSE TOGETHER

THE BORN-OPPENHEIMER APPROXIMATION

FORMING BONDING MOLECULAR ORBITALS

BONDING AND ANTIBONDING MOLECULAR ORBITALS

PUTTING ELECTRONS IN MOLECULAR ORBITALS

THE HYDROGEN MOLECULE EXISTS BUT THE HELIUM MOLECULE DOESN’T

Chapter 13 - What Holds Atoms Together: Diatomic Molecules

SIGMA (σ) AND PI (π) BONDS

SIGMA MOLECULAR ORBITALS

PI MOLECULAR ORBITALS

BONDING IN DIATOMIC MOLECULES: THE FLUORINE MOLECULE

THE NEON MOLECULE DOESN’T EXIST

THE OXYGEN MOLECULE: HUND’S RULE MATTERS

THE NITROGEN MOLECULE

SINGLE, DOUBLE, AND TRIPLE BONDS

HETERONUCLEAR DIATOMICS

VISUAL MODELS OF MOLECULES

Chapter 14 - Bigger Molecules: The Shapes of Polyatomic Molecules

MOLECULAR SHAPES—TETRAHEDRAL METHANE

PROMOTING ELECTRONS

HYBRID ATOMIC ORBITALS—LINEAR MOLECULES

HYBRID ATOMIC ORBITALS—TRIGONAL MOLECULES

HYBRID ATOMIC ORBITALS—TETRAHEDRAL MOLECULES

HYDROCARBONS WITH SINGLE BOND

LARGE HYDROCARBONS HAVE MULTIPLE

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