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Principles of neutron scattering from condensed matter

This textbook provides a comprehensive account of the many different ways neutrons are being used to investigate the behaviour of atoms and molecules in bulk matter. It provides a modern and pedagogical treatment of the principles behind the various neutron scattering techniques that are used at fac...

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Bibliographic Details
Main Author: Boothroyd, Andrew T. (Author)
Format: eBook
Language:English
Published: Oxford New York, NY Oxford University Press 2020
Edition:First edition
Subjects:
Neutrons > Scattering.
Neutrons > Diffusion.
Physical & Theoretical.
Chemistry.
SCIENCE.
Crystallography.
Physics.
Neutrons > Scattering
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Intro
  • Preface
  • Table of Contents
  • Basic Concepts
  • Particles and waves
  • Uncertainty in position and wavelength
  • Free particle wave function
  • Normalization of the wave function
  • Neutron flux
  • Spin and polarization
  • Production of neutrons
  • Reactor sources
  • Spallation sources
  • Compact accelerator-driven sources
  • Fusion sources
  • Interactions with matter
  • The nuclear interaction
  • The electromagnetic interaction
  • Scattering kinematics
  • Scattering from nuclei
  • Isolated bound nucleus: the scattering length
  • Scattering from systems of bound nuclei
  • Elastic scattering as a Fourier transform
  • Cross-sections
  • Scattering cross-sections
  • Absorption cross-section
  • Complex scattering lengths
  • Mean free path and transmission
  • Coherent and incoherent scattering
  • Isotopic dependence of scattering length
  • Nuclear spin dependence of scattering length
  • Other sources of incoherence
  • Tables of scattering lengths and cross-sections
  • Scattering properties of hydrogen
  • Cross-sections for a free atom
  • Chapter summary
  • Further reading
  • Exercises
  • Diffraction in the Static Approximation
  • Crystals
  • Crystal lattice
  • Motif
  • Unit cell
  • Crystal symmetry
  • Atomic coordinates, directions, and planes
  • The reciprocal lattice
  • Reciprocal lattice units
  • Diffraction from crystals
  • Bragg's Law
  • Laue formulation of diffraction
  • Equivalence of Bragg and Laue formulations
  • The structure factor
  • Non-primitive unit cells
  • The phase problem
  • Friedel's law
  • Summary: the differential cross-section
  • Periodic distortion of a crystal
  • Disorder in crystalline materials
  • Short-range order
  • The correlation length
  • Two- and one-dimensional systems
  • Point defects
  • Thermal diffuse scattering
  • Liquids and disordered solids
  • Spherical averaging
  • Pair distribution function
  • Density correlations and diffraction
  • The zero-Q limit and bulk fluctuations
  • Molecular systems
  • The form factor
  • Inter-molecular interference
  • Small-angle neutron scattering
  • Flexible linear polymer
  • Continuous particles: the sphere
  • Fractals
  • The Guinier approximation
  • Particles in continuous media: contrast
  • Chapter summary
  • Further reading
  • Exercises
  • Kinematical Theory of Scattering
  • The partial differential cross-section
  • The Born approximation
  • Elastic scattering
  • Correlation functions
  • Integral representation of the delta function
  • Introduction of Heisenberg operators
  • Summation over target eigenstates
  • New formulation for the cross-section
  • The response function and intermediate function
  • Properties of correlation and response functions
  • Properties of the correlation function
  • Response function is real and positive
  • The Principle of Detailed Balance
  • Static and dynamic correlations
  • The Fluctuation-Dissipation theorem
  • Sum rules, limiting cases, and approximations
  • Uniform static susceptibility
  • Spectral-weight function