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The Equations of Materials /

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Bibliographic Details
Main Author: Cantor, B. (Author)
Corporate Author: UPSO (University Press Scholarship Online)
Format: eBook
Language:English
Published: Oxford ; New York, NY : Oxford University, 2020.
Edition:First edition.
Subjects:
Equations > History.
Materials science > Mathematics.
Scientists > History.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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
  • 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
  • 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
  • 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
  • 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