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Quantum States of Atoms and Molecules

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Quantum States of Atoms and Molecules

This is an introduction to quantum mechanics as it relates to spectroscopy, the electronic structure of atoms and molecules, and molecular properties. A digital, living textbook, it provides opportunities not found in conventional textbooks—opportunities that allow students to develop skills in information processing, critical thinking or analytical reasoning, and problem solving that are so important for success.

Tác giả
Zielinksi et al.
Nhà xuất bản
Chemical Education Digital Library
Nguồn
LibreTexts
Giấy phép
CC BY-NC-SA
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Mục lục· 101 mục
  1. 01: Spectroscopy
  2. 02: Foundations of Quantum Mechanics
  3. 2.0E: 2.E: Foundations of Quantum Mechanics (Exercises)
  4. 2.0S: 2.S: Foundations of Quantum Mechanics (Summary)
  5. 2.01: Prelude to the Foundations of Quantum Mechanics
  6. 2.02: Black-Body Radiation
  7. 2.03: Photoelectric Effect
  8. 2.04: The Compton Effect
  9. 2.05: Hydrogen Luminescence
  10. 2.06: Early Models of the Hydrogen Atom
  11. 2.07: Derivation of the Rydberg Equation from Bohr's Model
  12. 2.08: Summary of Bohr's Contribution
  13. 2.09: The Wave Properties of Matter
  14. 03: The Schrodinger Equation
  15. 3.0E: 3.E: The Schrodinger Equation (Exercises)
  16. 3.01: Introduction
  17. 3.02: A Classical Wave Equation
  18. 3.03: Invention of the Schrodinger Equation
  19. 3.04: Operators Eigenfunctions Eigenvalues and Eigenstates
  20. 3.05: Momentum Operators
  21. 3.06: The Time-Dependent Schrodinger Equation
  22. 3.07: Meaning of the Wavefunction
  23. 3.08: Expectation Values
  24. 3.09: Postulates of Quantum Mechanics
  25. 04: Electronic Spectroscopy of Cyanine Dyes
  26. 4.0E: 4.E: Electronic Spectroscopy of Cyanine Dyes (Exercises)
  27. 4.0S: 4.S: Electronic Spectroscopy of Cyanine Dyes (Summary)
  28. 4.01: Introduction
  29. 4.02: Cyanine Dyes
  30. 4.03: The Particle-in-a-Box Model
  31. 4.04: Spectroscopy of the Particle-in-a-Box Model
  32. 4.05: The Transition Dipole Moment and Spectroscopic Selection Rules
  33. 4.06: Selection Rules for the Particle-in-a-Box
  34. 4.07: Using Symmetry to Identify Integrals that are Zero
  35. 4.08: Other Properties of the Particle-in-a-Box
  36. 4.09: Properties of Quantum Mechanical Systems
  37. 05: Translational States
  38. 5.0E: 5.E: Translational States (Exercises)
  39. 5.0S: 5.S: Translational States (Summary)
  40. 5.01: The Free Particle
  41. 5.02: The Uncertainty Principle
  42. 5.03: Linear Combinations of Eigenfunctions
  43. 06: Vibrational States
  44. 6.0S: 6.S: Vibrational States (Exercises)
  45. 6.0S: 6.S: Vibrational States (Summary)
  46. 6.01: Spatial Degrees of Freedom Normal Coordinates and Normal Modes
  47. 6.02: Classical Description of the Vibration of a Diatomic Molecule
  48. 6.03: Quantum-Mechanical Description of the Harmonic Oscillator
  49. 6.04: Harmonic Oscillator Properties
  50. 6.05: Quantum Mechanical Tunneling
  51. 6.06: Harmonic Oscillator Selection Rules
  52. 07: Rotational States
  53. 7.0E: 7.E: Rotational States (Exercises)
  54. 7.01: Introduction to Rotation
  55. 7.02: The Hamiltonian Operator for Rotational Motion
  56. 7.03: Solving the Rigid Rotor Schrodinger Equation
  57. 7.04: Angular Momentum Operators and Eigenvalues
  58. 7.05: Quantum Mechanical Properties of Rotating Diatomic Molecules
  59. 7.06: Rotational Spectroscopy of Diatomic Molecules
  60. 7.07: Overview of the Rigid Rotor
  61. 08: The Hydrogen Atom
  62. 8.0E: 8.E: The Hydrogen Atom (Exercises)
  63. 8.0S: 8.S: The Hydrogen Atom (Summary)
  64. 8.01: The Schrodinger Equation
  65. 8.02: The Wavefunctions
  66. 8.03: Orbital Energy Levels Selection Rules and Spectroscopy
  67. 8.04: Magnetic Properties and the Zeeman Effect
  68. 8.05: Discovering Electron Spin
  69. 8.06: Other One-Electron Systems
  70. 8.07: Spin-Orbitals and Electron Configurations
  71. 8.08: Coupling of Angular Momentum and Spectroscopic Term Symbols
  72. 09: The Electronic States of the Multielectron Atoms
  73. 9.0E: 9.E: The Electronic States of the Multielectron Atoms (Exercises)
  74. 9.0S: 9.S: The Electronic States of the Multielectron Atoms (Summary)
  75. 9.01: The Schrodinger Equation For Multi-Electron Atoms
  76. 9.02: Solution of the Schrodinger Equation for Atoms- The Independent Electron Approximation
  77. 9.03: Perturbation Theory
  78. 9.04: The Variational Method
  79. 9.05: Single-electron Wavefunctions and Basis Functions
  80. 9.06: Electron Configurations The Pauli Exclusion Principle The Aufbau Principle and Slater Determinants
  81. 9.07: The Self-Consistent Field Approximation (Hartree-Fock Method)
  82. 9.08: Configuration Interaction
  83. 9.09: Chemical Applications of Atomic Structure Theory
  84. 9.9.9A: 9.9.9A: Total Electronic Energies
  85. 9.9.9B: 9.9.9B: Orbital Energies
  86. 9.9.9C: 9.9.9C: Atomic Sizes and Electron Density Distributions
  87. 9.9.9D: 9.9.9D: Ionization Potentials
  88. 9.9.9E: 9.9.9E: Electron Affinity
  89. 10: Theories of Electronic Molecular Structure
  90. 10.0E: 10.E: Theories of Electronic Molecular Structure (Exercises)
  91. 10.0S: 10.S: Theories of Electronic Molecular Structure (Summary)
  92. 10.01: The Born-Oppenheimer Approximation
  93. 10.02: The Orbital Approximation and Orbital Configurations
  94. 10.03: Basis Functions
  95. 10.04: The Case of H
  96. 10.05: Homonuclear Diatomic Molecules
  97. 10.06: Semi-Empirical Methods- Extended Huckel
  98. 10.07: Mulliken Populations
  99. 10.08: The Self-Consistent Field and the Hartree-Fock Limit
  100. 10.09: Correlation Energy and Configuration Interaction
  101. 10.10: Electronic States