## Neutron scattering |

### From inside the book

Results 1-3 of 59

Page xxi

... form factor, 72 F(r) unit-cell

correlation function, 299 C, autocorrelation function. 299 G,<q,Q) phonon

puclear spin quantum number /„ number of incident neutrons per unit area spatial

Fourier ...

... form factor, 72 F(r) unit-cell

**structure factor**, 24 Fm(t) magnetic unit-cell**structure****factor**. 35 Fn(t) nuclear unit-cell**structure factor**, 25 Fm(t) magnetic unit-cell vector**structure factor**, 85 FP(Q) single-particle form factor, 40 f virtual force, 306 G (Hp)correlation function, 299 C, autocorrelation function. 299 G,<q,Q) phonon

**structure factor**, 51 6, lattice Green function, 195 g gyromagnetic ratio, 36 I /puclear spin quantum number /„ number of incident neutrons per unit area spatial

Fourier ...

Page 89

programs exist to calculate such corrections so long as the crystal size and shape

can be described with sufficient accuracy. Perhaps one of the most elegant ways

of displaying the results of an elastic scattering study is to make use of the Fourier

transform relationship which exists between the

scattering potential. The Fourier sum p(r) = Xf(t)exp(iT-r) (20) r gives the

scattering potential at vector distance r from the origin. The sum must include all

reciprocal lattice ...

programs exist to calculate such corrections so long as the crystal size and shape

can be described with sufficient accuracy. Perhaps one of the most elegant ways

of displaying the results of an elastic scattering study is to make use of the Fourier

transform relationship which exists between the

**structure factors**and thescattering potential. The Fourier sum p(r) = Xf(t)exp(iT-r) (20) r gives the

scattering potential at vector distance r from the origin. The sum must include all

reciprocal lattice ...

Page 112

In more complicated multiaxis structures even this may not be possible. More

information however is available if measurements are made using polarized

neutrons since it is possible to exploit the orientation dependence of the

interaction between the magnetic

general case the interaction between a single neutron and a magnetic crystal can

result in a change of neutron energy, momentum, and spin direction. For Bragg

scattering the ...

In more complicated multiaxis structures even this may not be possible. More

information however is available if measurements are made using polarized

neutrons since it is possible to exploit the orientation dependence of the

interaction between the magnetic

**structure factor**and the neutron spin. In thegeneral case the interaction between a single neutron and a magnetic crystal can

result in a change of neutron energy, momentum, and spin direction. For Bragg

scattering the ...

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### Contents

Neutron Production and Detection | 12 |

Basic Scattering Theory | 21 |

Diffraction from Crystals | 30 |

Copyright | |

13 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 cubic 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 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 neutron tion transition unit cell values wave vector wavelength width x-ray

### References to this book

Einführung in die Kristallographie Will Kleber,Hans-Joachim Bautsch,Joachim Bohm No preview available - 1998 |