Wikiadmin: 1 revision imported

2020-02-18T22:15:13Z

1 revision imported

← Older revision	Revision as of 22:15, 18 February 2020
(No difference)

ucph>Tommy at 14:22, 1 September 2019

2019-09-01T14:22:52Z

New page

__NOEDITSECTION__
On the [[Diffraction from crystals]] page, we worked under the assumption that the nuclei of the crystalline material were fixed in position, when investigating diffraction from the lattice planes. This is, of course, not a realistic description. In this chapter, we will investigate how the motion of the nuclei can scatter neutrons inelastically. However, as we shall see, a large fraction of the scattering will still take place as diffraction, as described on the [[Diffraction from crystals]] page.

First, we will treat the physics of lattice vibrations in crystalline materials purely classically, later a quantum mechanical treatment is given, leading to quantized vibrations, or ''phonons''. The latter is necessary for the detailed understanding of the inelastic neutron scattering cross section from crystals.

Along with the description of phonons, we will discover how lattice vibrations affect the intensity of the diffraction signals, leading to the Debye-Waller factor described on the [[Diffraction from crystals]] page.

{{TOC limit|3}}

= [[Lattice vibrations, classical treatment]] =

{{:Lattice vibrations, classical treatment}}


= *[[Phonons, quantum mechanical treatment]] =

{{:Phonons, quantum mechanical treatment}}







= *[[The scattering cross section for phonons]] =

{{:The scattering cross section for phonons}}


= *[[Quantum mechanical derivation of neutron-phonon scattering]] =

{{:Quantum mechanical derivation of neutron-phonon scattering}}


= *[[Spectrometers: Instruments for inelastic neutron scattering]] =

{{:Spectrometers: Instruments for inelastic neutron scattering}}


 

[[Inelastic nuclear neutron scattering|←]]   Previous page: [[Quantum treatment of inelastic neutron scattering]] 
[[Exercises in Scattering from lattice vibrations|→]]   Exercises: [[Exercises in Scattering from phonons]] 
[[Magnetic neutron scattering|→]]   Next page: [[Magnetic neutron scattering]]

Scattering from lattice vibrations - Revision history

Wikiadmin: 1 revision imported

ucph>Tommy at 14:22, 1 September 2019