The Theories of Chemistry

Boeyens, Jan C.A.

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Table of contents
  • Cover
  • Contentsix
  • Prefacev
  • Chapter 1. Basic Mathematics1
  • 1.1 Elementary Vector Algebra1
  • 1.2 Determinants and Matrices13
  • 1.3 Vector Fields25
  • 1.4 Differential Equations38
  • Chapter 2. Group Theory55
  • 2.1 Introduction55
  • 2.2 The Multiplication Table57
  • 2.3 Conjugate Elements and Classes58
  • 2.4 Homomorphism58
  • 2.5 Some examples of symmetry groups59
  • 2.6 Field and Space64
  • 2.7 Representation of Groups71
  • 2.8 Continuous Groups (Lie Groups)84
  • Chapter 3. Particles and Waves97
  • 3.1 Introduction97
  • 3.2 Review of Classical Dynamics99
  • 3.3 Hamilton's Principle100
  • 3.4 Hamilton-Jacobi Theory105
  • 3.5 Potential Theory107
  • 3.6 Wave Motion111
  • Chapter 4. Space and Time127
  • 4.1 Introduction127
  • 4.2 The Electromagnetic Field129
  • 4.3 Special Relativity140
  • 4.4 General Relativity159
  • 4.5 Gauge Fields164
  • 4.6 The Arrow of Time175
  • Chapter 5. Quantum Theory177
  • 5.1 Basic Concepts177
  • 5.2 Wave Mechanics196
  • 5.3 Relativistic Wave Equations219
  • 5.4 Angular Momentum and Spin232
  • 5.5 Quantum Mechanics of the Photon245
  • Chapter 6. Quantum Chemistry261
  • 6.1 Introduction261
  • 6.2 Quantum Aspects of General Chemistry262
  • 6.3 Molecular Spectroscopy280
  • 6.4 Free-Particle Models299
  • Chapter 7. Atoms and Molecules333
  • 7.1 Many-particle Systems333
  • 7.2 Approximation Methods336
  • 7.3 Atomic Structure345
  • 7.4 Molecular Systems360
  • Chapter 8. Macrosystems407
  • 8.1 Introduction407
  • 8.2 Thermodynamics408
  • 8.3 Mechanics of Macrosystems428
  • 8.4 Quantum Statistics451
  • 8.5 Non-equilibrium Statistical Mechanics485
  • Chapter 9. Chemical Change497
  • 9.1 Introduction497
  • 9.2 Phase Change498
  • 9.3 Disorder501
  • 9.4 The Scaling Hypothesis511
  • 9.5 Renormalization Group513
  • 9.6 Chemical Reaction518
  • 9.7 Conclusion521
  • Bibliography523
  • Index529
Book details
  • Vendor Elsevier S & T
  • SKU 9780444514912
  • ISBN-13 9780080519043
  • Author Boeyens, Jan C.A.
  • Category Science
  • Subject Physical & Theoretical

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Theories of Chemistry reviews the theories that underpin chemistry, but yet are not traditionally recognized as such, being normally considered as part of physics. Based on the argument that the needs of chemistry are distinctive, a mathematical structure of topics such as quantum mechanics, relativity theory, thermodynamics and statistical mechanics, suiting the needs of chemistry, is outlined. The subject matter is arranged in a sequence that reveals the foundations of chemistry. Starting from the mathematical basis, the sequence runs through the general concepts (mechanics and wave formalism) and the elementary building blocks, to molecules and macrosystems.

The book is the product of the author's reading of original literature rather than of standard texts. It differs from what is conventionally emphasized because of the different approach that it argues for the recognition of chemistry as an emergent discipline, ultimately based on the properties and structure of space and time. Hence the emphasis on otherwise unexpected topics such as quaternions, lie groups, polarized light, compressed atoms, rydberg atoms, solitons, molecular hydrogen, and phase transitions, amongst others. The topic is the understanding of chemistry from first principles.

The book is self-contained and can be used without reference to other sources.

- All chemisty theories are covered in this one volume.
- The book is self-contained and can be used without reference to other sources.
- Many topics, routinely referred to in advanced chemistry texts, without making them accessible to the non-specialist, are brought together.