Introduction to the theory of thermal neutron scattering
Thermal neutrons e-böcker
Cambridge University Press
2012
3rd ed.
EISBN 9781139107808
Cover ; Introduction to the Theory of Thermal Neutron Scattering ; Title ; Copyright ; CONTENTS ; PREFACE ; 1 Introduction ; 1.1 Basic properties of the neutron ; 1.2 Numerical values for velocity, energy, wavelength ; 1.3 Definitions of scattering cross-sections.
1.4 Scattering of neutrons by a single fixed nucleus 2 Nuclear scattering.
basic theory ; 2.1 Introduction ; 2.2 Fermi's golden rule ; 2.3 Expression for d2/d dE' ; Fourier transform of the potential function ; Fermi pseudopotential ; Integral representation of the d-function for energy.
3.9 Incoherent scattering 3.10 Multiphonon cross-sections.
approximation methods ; Incoherent approximation ; Mass expansion ; Examples ; 4 Correlation functions in nuclear scattering ; 4.1 Definitions of I(k, t), G(r, t), and S(k,) ; 4.2 Expressions for G(r, t) and Gs(r, t).
Debye-Waller factor Non-Bravais crystals ; Methods of measuring Bragg scattering ; 3.7 Coherent one-phonon scattering ; Cross.
sections ; Measurement of phonon dispersion relations ; Polarisation vectors ; Anharmonic forces ; 3.8 Coherent multiphonon scattering.
Sum over, average over 2.4 Coherent and incoherent scattering ; 3 Nuclear scattering by crystals ; 3.1 Introduction ; 3.2 Normal modes ; 3.3 Probability function for a harmonic oscillator ; 3.4 Development of (exp U exp V) ; 3.5 Phonon expansion ; 3.6 Coherent elastic scattering ; Bragg's law.
Since the advent of the nuclear reactor, thermal neutron scattering has proved a valuable tool for studying many properties of solids and liquids, and research workers are active in the field at reactor centres and universities throughout the world. This classic text provides the basic quantum theory of thermal neutron scattering and applies the concepts to scattering by crystals, liquids and magnetic systems. Other topics discussed are the relation of the scattering to correlation functions in the scattering system, the dynamical theory of scattering and polarisation analysis. No previous knowledge of the theory of thermal neutron scattering is assumed, but basic knowledge of quantum mechanics and solid state physics is required. The book is intended for experimenters rather than theoreticians, and the discussion is kept as informal as possible. A number of examples, with worked solutions, are included as an aid to the understanding of the text.
1.4 Scattering of neutrons by a single fixed nucleus 2 Nuclear scattering.
basic theory ; 2.1 Introduction ; 2.2 Fermi's golden rule ; 2.3 Expression for d2
3.9 Incoherent scattering 3.10 Multiphonon cross-sections.
approximation methods ; Incoherent approximation ; Mass expansion ; Examples ; 4 Correlation functions in nuclear scattering ; 4.1 Definitions of I(k, t), G(r, t), and S(k,
Debye-Waller factor Non-Bravais crystals ; Methods of measuring Bragg scattering ; 3.7 Coherent one-phonon scattering ; Cross.
sections ; Measurement of phonon dispersion relations ; Polarisation vectors ; Anharmonic forces ; 3.8 Coherent multiphonon scattering.
Sum over
Since the advent of the nuclear reactor, thermal neutron scattering has proved a valuable tool for studying many properties of solids and liquids, and research workers are active in the field at reactor centres and universities throughout the world. This classic text provides the basic quantum theory of thermal neutron scattering and applies the concepts to scattering by crystals, liquids and magnetic systems. Other topics discussed are the relation of the scattering to correlation functions in the scattering system, the dynamical theory of scattering and polarisation analysis. No previous knowledge of the theory of thermal neutron scattering is assumed, but basic knowledge of quantum mechanics and solid state physics is required. The book is intended for experimenters rather than theoreticians, and the discussion is kept as informal as possible. A number of examples, with worked solutions, are included as an aid to the understanding of the text.
