The equations of materials /

This book describes some of the important equations of materials and the scientists who derived them. The text is readable and enjoyable, and is aimed at anyone interested in the manufacture, structure, properties and engineering application of materials such as metals, polymers, ceramics, semicondu...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cantor, B. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford ; New York, NY : Oxford University, [2020]
Edición:First edition.
Temas:
Materials science > Mathematics.
Equations > History.
Scientists > History.
Science des matériaux > Mathématiques.
Équations > Histoire.
Equations
Materials science > Mathematics
Scientists
History
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • The Equations of Materials
  • Copyright
  • Dedication
  • Contents
  • List of Portraits
  • Preface
  • 1: Bravais Lattices: Crystals
  • 1 Bravais lattices
  • 2 Auguste Bravais
  • 3 Crystal systems
  • 4 Point groups
  • Centre of inversion
  • Mirror planes
  • Rotation axes
  • Rotation-inversion axes
  • 5 Space groups
  • Rotation screw axes
  • Glide planes
  • 6 Crystal planes and directions
  • 7 Stereograms
  • 8 Non-crystallographic materials
  • 9 References
  • 10 Bibliography
  • 2: Bragg's Law: Diffraction
  • 1 X-ray diffraction
  • 2 Interference
  • 3 Bragg's law
  • 4 Lawrence Bragg
  • 5 X-ray scattering
  • Scattering by an electron
  • Coherent scattering
  • Incoherent scattering
  • 6 The structure factor
  • 7 Fourier transforms
  • 8 Electron diffraction and neutron diffraction
  • 9 References
  • 10 Bibliography
  • 3: The Gibbs Phase Rule: Phases
  • 1 The Gibbs phase rule
  • 2 J. Willard Gibbs
  • 3 Phase diagrams
  • 4 Invariant reactions
  • 5 The lever rule
  • 6 Solid solutions
  • 7 Compounds
  • Ionic compounds
  • Covalent compounds
  • van der Waals compounds
  • Electron compounds
  • Line and variable compounds
  • 8 References
  • 9 Bibliography
  • 4: Boltzmann's Equation: Thermodynamics
  • 1 The laws of thermodynamics
  • The zeroth law of thermodynamics
  • The first law of thermodynamics
  • The second law of thermodynamics
  • The third law of thermodynamics
  • Reversibility
  • 2 Boltzmann's equation
  • 3 Ludwig Boltzmann
  • 4 The fundamental equations of thermodynamics
  • The first fundamental equation
  • Other thermodynamic functions and fundamental equations
  • Other forms of work and energy
  • 5 Gibbs free energy
  • 6 Physical properties
  • Specific heat
  • 7 Chemical reactions
  • 8 Solutions
  • Ideal solutions
  • Regular solutions
  • 9 References
  • 10 Bibliography
  • 5: The Arrhenius Equation: Reactions
  • 1 Chemical reactions
  • 2 Reaction kinetics
  • 3 The Arrhenius equation
  • 4 Svante Arrhenius
  • 5 Reaction equilibria
  • 6 Transition states
  • 7 Molecularity and order
  • 8 Collision theory
  • 9 Complex reactions
  • 10 References
  • 11 Bibliography
  • 6: The Gibbs-Thomson Equation: Surfaces
  • 1 Surface tension and surface energy
  • 2 The Gibbs-Thomson equation
  • 3 J. J. Thomson and William Thomson (Lord Kelvin)
  • J. J. Thomson
  • William Thomson (Lord Kelvin)
  • 4 Nucleation of solidification
  • 5 Nucleation of precipitation
  • 6 Ostwald ripening
  • 7 Crystals
  • 8 Segregation and adsorption
  • 9 References
  • 10 Bibliography
  • 7: Fick's Laws: Diffusion
  • 1 Fick's first law
  • 2 Fick's second law
  • 3 Adolf Fick
  • 4 Thin- and thick-film solutions
  • Thin-film solution
  • Thick-film solution
  • Welded bars
  • 5 Diffusion mechanisms
  • Vacancy diffusion
  • Interstitial diffusion
  • 6 Random walk
  • 7 The Kirkendall effect and Darken's equations
  • 8 Self-diffusion
  • Vacancy formation
  • Vacancy migration
  • Jump frequency
  • 9 Fourier's and Ohm's laws
  • 10 References

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