## Neutron scattering |

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Page 132

In the simplest, classical model of a crystalline solid, the thermal fluctuations of

atomic positions are described by a set of independent normal

Ziman, 1960). At any instant of time, each normal

displacements ...

In the simplest, classical model of a crystalline solid, the thermal fluctuations of

atomic positions are described by a set of independent normal

**modes**(e.g.,Ziman, 1960). At any instant of time, each normal

**mode**gives atomicdisplacements ...

Page 197

The

distance from the defect site. The decay of this amplitude with distance can be

shown from Eq. (7) to be faster than exponential (Maradudin, 1966). The rate of

decay is ...

The

**mode**is therefore localized and its amplitude decreases rapidly withdistance from the defect site. The decay of this amplitude with distance can be

shown from Eq. (7) to be faster than exponential (Maradudin, 1966). The rate of

decay is ...

Page 211

The increase in frequency of the local

trend as the corresponding band

This behavior is also evident in the increasing wave vector dependence of the

local ...

The increase in frequency of the local

**mode**with increasing C is related to thistrend as the corresponding band

**mode**frequency in pure potassium is 2.4 THz.This behavior is also evident in the increasing wave vector dependence of the

local ...

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### Contents

Introduction | 2 |

Neutron Production and Detection | 12 |

Basic Scattering Theory | 21 |

Copyright | |

17 other sections not shown

### Other editions - View all

Neutron Scattering: Treatise on Materials Science and Technology, Volume 15 G. Kostorz Limited preview - 2013 |

### Common terms and phrases

alloys amplitude antiferromagnetic atoms average Bragg peaks Bragg scattering calculated chain chapter by Kostorz Chem coherent collimation concentration cross section Crystallogr Debye-Waller factor defect density dependence detector direction dispersion curves displacements distribution domain elastic electron energy experimental ferroelectric ferromagnetic fluctuations flux line Fourier transform frequency hydrides hydrogen impurity incoherent scattering inelastic scattering Institut Laue-Langevin intensity interaction isotope Kostorz and Lovesey Lett magnetic scattering materials matrix measurements metal mode molecules monochromator neutron beam neutron diffraction neutron SAS neutron scattering nuclear obtained orientation parameters particles peak phase phonon Phys plane polarized neutron polymer Proc quasi-elastic reactor reciprocal lattice reflection resolution sample scattering cross section scattering function scattering length scattering vector Schelten Schmatz shown in Fig single crystal solid solution spin structure factor studies symmetry technique temperature theory thermal neutrons tion transition unit cell values wave vector wavelength width x-ray