## Neutron scattering |

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Page 168

The

determined by Fermi-surface geometry. Thus, this

an irrational fraction of the reciprocal lattice vectors of the undistorted structure.

The

**wave vector**of the Kohn anomaly, and of the Peierls distortion if it occurs, isdetermined by Fermi-surface geometry. Thus, this

**wave vector**will, in general, bean irrational fraction of the reciprocal lattice vectors of the undistorted structure.

Page 171

In this equation the periodic A functions must have an argument which is an

integral multiple of 2n/a in order to guarantee translational invariance. Let us now

suppose that the row of atoms is subjected to a periodic distortion of

q0 ...

In this equation the periodic A functions must have an argument which is an

integral multiple of 2n/a in order to guarantee translational invariance. Let us now

suppose that the row of atoms is subjected to a periodic distortion of

**wave vector**q0 ...

Page 181

The

where a is the bcc lattice constant. Thus, while a bcc reflection might have integer

Miller indices (h,k,l), the superlattice reflections related to this bcc reflection would

...

The

**wave vectors**of the latter are given by t = T0 + q0 = To + $(2jt/a)(l,l,1) (61)where a is the bcc lattice constant. Thus, while a bcc reflection might have integer

Miller indices (h,k,l), the superlattice reflections related to this bcc reflection would

...

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### Contents

Introduction | 2 |

Neutron Production and Detection | 12 |

Basic Scattering Theory | 21 |

Copyright | |

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

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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