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
Creators
- 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 сверхрешетокAdditional 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