Published 1997 | Version v1
Book

Quality regularities of dynamic X-ray diffraction in superlattices and films with variable gradient of deformation based on analysis of types of Takagi equation solutions

  • 1. Kabardino-Balkarskij Gosudarstvennyj Univ., Nal'chik (Russian Federation)

Description

It is proposed to use qualitative investigation methods of the differential Takagi equation solutions for the analysis of general properties of wave fields in deformed crystals. The physical interpretation of possible types of the Takagi equation solutions is considered briefly from the viewpoint of the stability theory. The type of solutions are defined by ratios between parameters involved in the equations set. For the Takagi equation these parameters are prescribed by the angular tuning from the precise Bragg angle as well as structural characteristics of the crystal and the deformation profile. The qualitative analysis for the problem of the dynamic X-ray diffraction is carried out for films with the variable deformation gradient and superlattices

Abstract (Russian)

Для анализа общих свойств волновых полей в деформированном кристалле предлагается использовать качественные методы исследования решений дифференциальных уравнений Такаги. Кратко рассмотрена физическая интерпретация возможных типов решений уравнений Такаги с позиций теории устойчивости. Тип решений определяется соотношениями между параметрами, входящими в систему уравнений. Для уравнения Такаги эти параметры задаются угловой отстройкой от точного угла Брэгга и структурными характеристиками кристалла и деформационного профиля. Проведен качественный анализ задачи динамической рентгеновской дифракции для пленок с переменным градиентом деформации и для сверхрешеток
Part of:
National conference on the application of X-rays, synchrotron radiation, neutrons and electrons for materials study (the continuation of All-Union Meetings on the application of X-rays for materials research). Summary of reports. Volume 3

Additional details

Additional titles

Original title (Russian)
Качественные закономерности динамической рентгеновской дифракции в сверхрешетках и в пленках с переменным градиентом деформации, вытекающие из анализа типов решений уравнений Такаги

Publishing Information

Publisher
OIYaI
Imprint Place
Dubna (Russian Federation)
ISBN
5-85165-483-X
Imprint Title
National conference on the application of X-rays, synchrotron radiation, neutrons and electrons for materials study (the continuation of All-Union Meetings on the application of X-rays for materials research). Summary of reports. Volume 3
Imprint Pagination
370 p.
Journal Page Range
p. 113-118

Conference

Title
National conference on the application of X-rays, synchrotron radiation, neutrons and electrons for materials study (the continuation of All-Union Meetings on the application of X-rays for materials research)
Original Conference Title
Natsional'naya konferentsiya po primeneniyu rentgenovskogo, sinkhrotronnogo izluchenij, nejtronov i ehlektronov dlya issledovaniya materialov (prodolzhenie Vsesoyuznykh soveshchanij po primeneniyu rentgenovskikh luchej dlya issledovaniya materialov)
Dates
25-29 May 1997
Place
Dubna (Russian Federation)

INIS

Country of Publication
Russian Federation
Country of Input or Organization
Russian Federation
INIS RN
33025837
Subject category
S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ANALYTICAL SOLUTION; CRYSTAL FIELD; DEFORMATION; DIFFERENTIAL EQUATIONS; STABILITY; SUPERLATTICES; THIN FILMS; X-RAY DIFFRACTION
Descriptors DEC
COHERENT SCATTERING; DIFFRACTION; EQUATIONS; FILMS; SCATTERING

Optional Information

Notes
6 refs. Imprint:Natsional'naya konferentsiya po primeneniyu rentgenovskogo, sinkhrotronnogo izluchenij, nejtronov i ehlektronov dlya issledovaniya materialov (prodolzhenie Vsesoyuznykh soveshchanij po primeneniyu rentgenovskikh luchej dlya issledovaniya materialov). Sbornik dokladov. Tom 3
Secondary number(s)
JINR-R--14-97-343