## Neutron scattering |

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Page 193

For a lattice containing a single such impurity the theory gives exact results. The

problems of localization, defect independence, and defect

closely related. For very low

that ...

For a lattice containing a single such impurity the theory gives exact results. The

problems of localization, defect independence, and defect

**concentration**areclosely related. For very low

**concentrations**(e.g., C«0.01) it is usually assumedthat ...

Page 199

for the Green function averaged over the configurations of defect atoms with

£c°2 M\ 1 — (1 — CjMeco P(co) For C « 1, T'(co) is essentially the T matrix for a ...

for the Green function averaged over the configurations of defect atoms with

**concentration**C, gives with T'(a>) = T'(0, 0, co) G = P + CPT'MG (26) where t'/ ^ M£c°2 M\ 1 — (1 — CjMeco P(co) For C « 1, T'(co) is essentially the T matrix for a ...

Page 303

The defect

case the following relations hold: Api(q) = 0;Ap2(q) = 0;O = 1;C| = 0; u = 0; u22 =

0 (no direct defect-defect interaction); u2i = 0 (for low defect

The defect

**concentration**C will be given in impurity atoms per matrix atom. In thiscase the following relations hold: Api(q) = 0;Ap2(q) = 0;O = 1;C| = 0; u = 0; u22 =

0 (no direct defect-defect interaction); u2i = 0 (for low defect

**concentration**).### What people are saying - Write a review

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### Contents

Neutron Production and Detection | 12 |

Basic Scattering Theory | 21 |

Diffraction from Crystals | 30 |

Copyright | |

16 other sections not shown

### Other editions - View all

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 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 Phase Transitions 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 neutron tion transition unit cell values wave vector wavelength width x-ray