Free Energy 1e (Snee)

by Preston Snee

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What is the role of mathematics in Chemistry? We use math to reveal relationships that exist in nature that cannot be determined by any other reasonable means. Often Physical Chemistry is the last stop on the way to your degree, and you probably put this class off till last due to an irrational fear of mathematics. And while it may be true that calculus derivations are not your “thing”, if you’re good at this, you might get a better, higher paying job. So, it’s worth the effort.

Description from LibreTexts.

Publisher
University of Illinois Chicago
Subjects
Chemistry, Physical and Theoretical Chemistry Textbook Maps
Licence
CC BY-NC 4.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. Acknowledgments
  7. Forward
  8. 1: Gas Equations of State
  9. 1.1: Units and the Perfect Gas Law
  10. 1.2: Van der Waals Equation
  11. 1.3: The Virial Equation
  12. 1.4: Phase Transitions
  13. 1.5: Corresponding States
  14. 2: Energy
  15. 2.1: Work and the Inexact Differential
  16. 2.2: Reversible and Irreversible Transitions
  17. 2.3: Exact and Inexact Partials and Euler’s Test
  18. 2.4: Internal Energy (U) and the Equipartition Theorem
  19. 2.5: Heat Transactions, Heat Capacity, and Adiabatic Systems
  20. 3: Enthalpy, Legendre Transforms, and Thermodynamic Proofs
  21. 3.1: Enthalpy and Changing Functions
  22. 3.2: Heat Capacities
  23. 3.3: Natural Variables and Legendre Transforms
  24. 3.4: The Joule and Joule-Thomson Experiments
  25. 4: Entropy and the 2nd Law
  26. 4.1: Introduction to Entropy
  27. 4.2: Entropy inside and outside- The 2nd Law and the Clausius Inequality
  28. 4.3: Calculating Entropy Changes
  29. 4.4: The Car Engine and the Carnot Cycle
  30. 4.5: Refrigeration
  31. 4.6: Maxwell Relationships
  32. 5: Helmholtz and Gibbs Energy
  33. 5.1: Helmholtz Energy (and The Clausius Inequality Pt. II)
  34. 5.2: Gibbs Energy
  35. 5.3: Calculations- Numerical and Derivations
  36. 5.4: Advanced Derivations - Maxwell Relationships II
  37. 6: Chemical Thermodynamics
  38. 6.1: Entropy and the 3rd Law
  39. 6.2: Energy, it’s all relative
  40. 6.3: Enthalpy and Gibbs Energy of Formation- Hess’s Law examples
  41. 6.4: Chemical reactions and chemical potential
  42. 6.5: Equilibrium Constants
  43. 7: Solutions and Colligative Properties
  44. 7.1: Partial Vapor Pressure
  45. 7.2: Partial Pressure Measurements and Raoult’s Law
  46. 7.3: Excess Functions and Ideal Solutions
  47. 7.4: Henry’s Law, Activity, and Ideal-Dilute Solutions
  48. 7.5: Colligative Properties
  49. 8: Phase Changes
  50. 8.1: The Gibbs Phase Rule
  51. 8.2: Entropy is the Reason Phase Changes Occur
  52. 8.3: Other Examples of Phase Changes
  53. 9: Surfaces, Interfaces and Electrochemistry
  54. 9.1: Surfaces and Surface Energy
  55. 9.2: Surface Expansion Work
  56. 9.3: Electrochemistry and the Nernst Equation
  57. 10: The Kinetic Theory of Gas
  58. 10.1: Probability vs. Probability Distribution
  59. 10.2: The Boltzmann Distribution
  60. 10.3: Average and RMS Velocities
  61. 10.4: Average relative velocity and collision frequency
  62. 10.5: Appendix - Jacobians
  63. 11: Boltzmann Statistics
  64. 11.1: The Black body Radiator
  65. 11.2: Heat Capacity of Solids
  66. 12: Introduction to the Schrödinger Equation
  67. 12.1: Einstein’s Theory of Relativity
  68. 12.2: The Schrödinger Equation
  69. 12.3: Born interpretation
  70. 12.4: The Eigenvalue Equation and operators
  71. 12.5: The Freewave Potential
  72. 13: Potential Surfaces and the Heisenberg Uncertainly Principle
  73. 13.1: Potential Energy Surfaces
  74. 13.2: Complex Potential Energy Surfaces- Vibration
  75. 13.3: Uncertainty and Superposition- Wavefunctions as Waves
  76. 14: Multidimensional Quantum Mechanics and Rotation
  77. 14.1: Multidimensional Free waves and the Particle in a Cube
  78. 14.2: Rotational Quantum Mechanics- Introduction
  79. 14.3: Wavefunctions
  80. 14.4: Spin Angular Momentum
  81. 14.5: Angular Momentum Operators
  82. 14.6: Addition of Angular Momentum and Term Symbols
  83. 15: The Hydrogen Atom
  84. 15.1: The Bohr Model
  85. 15.2: The Hydrogen Schrödinger Equation
  86. 15.3: Hydrogen Radial Wavefunctions
  87. 15.4: Spin-Orbit Coupling
  88. 15.5: Spectroscopy
  89. 15.6: Multielectron Atoms and Exchange
  90. 15.7: Appendix
  91. Back Matter
  92. Index
  93. Glossary
  94. Detailed Licensing