DOCSLIB.ORG

Texture and Anisotropy

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Texture and Anisotropy INSTITUTE OF PHYSICS PUBLISHING REPORTS ON PROGRESS IN PHYSICS Rep. Prog. Phys. 67 (2004) 1367–1428 PII: S0034-4885(04)25222-8 Texture and anisotropy H-R Wenk1 and P Van Houtte2 1 Department of Earth and Planetary Science, University of California, Berkeley, CA 94720, USA 2 Department of MTM, Katholieke Universiteit Leuven, B-3001 Leuven, Belgium E-mail: [email protected] Received 17 February 2004 Published 5 July 2004 Online at stacks.iop.org/RoPP/67/1367 doi:10.1088/0034-4885/67/8/R02 Abstract A large number of polycrystalline materials, both manmade and natural, display preferred orientation of crystallites. Such alignment has a profound effect on anisotropy of physical properties. Preferred orientation or texture forms during growth or deformation and is modified during recrystallization or phase transformations and theories exist to predict its origin. Different methods are applied to characterize orientation patterns and determine the orientation distribution, most of them relying on diffraction. Conventionally x-ray pole- figure goniometers are used. More recently single orientation measurements are performed with electron microscopes, both SEM and TEM. For special applications, particularly texture analysis at non-ambient conditions, neutron diffraction and synchrotron x-rays have distinct advantages. The review emphasizes such new possibilities. A second section surveys important texture types in a variety of materials with emphasis on technologically important systems and in rocks that contribute to anisotropy in the earth. In the former group are metals, structural ceramics and thin films. Seismic anisotropy is present in the crust (mainly due to phyllosilicate alignment), the upper mantle (olivine), the lower mantle (perovskite and magnesiowuestite) and the inner core (ε-iron) and due to alignment by plastic deformation. There is new interest in the texturing of biological materials such as bones and shells. Preferred orientation is not restricted to inorganic substances but is also present in polymers that are not discussed in this review. 0034-4885/04/081367+62$90.00 © 2004 IOP Publishing Ltd Printed in the UK 1367 1368 H-R Wenk and P Van Houtte Contents Page 1. Introduction 1370 2. Measurements of textures 1370 2.1. Overview 1370 2.2. X-ray pole-figure goniometer 1371 2.3. Synchrotron x-rays 1371 2.4. Neutron diffraction 1374 2.5. Transmission electron microscope 1374 2.6. Scanning electron microscope 1375 2.7. Comparison of methods 1375 3. Data analysis 1376 3.1. Orientation distributions and texture representations 1376 3.2. From pole figures to ODF 1378 3.3. Use of diffraction spectra 1378 3.4. Statistical considerations of single orientation measurements 1379 3.5. From textures to elastic anisotropy 1380 4. Polycrystal plasticity simulations 1380 4.1. General comments 1380 4.2. Deformation 1381 4.3. Recrystallization 1383 5. Important texture types in metals 1385 5.1. Fcc metals 1385 5.2. Bcc metals 1389 5.3. Hcp metals 1390 5.4. Phase transformations 1391 6. Ceramic textures 1394 6.1. Bulk ceramics 1394 6.1.1. α-alumina (Al2O3) 1394 6.1.2. Silicon nitride (Si3N4) 1394 6.1.3. Zirconia (ZrO2) 1394 6.1.4. Ceramic matrix composites 1395 6.1.5. Bulk high-temperature superconductors 1395 6.2. Thin films and coatings 1396 6.2.1. Silicon and diamond 1396 6.2.2. Nitride, carbide and oxide coatings 1397 6.2.3. Epitaxial films 1398 7. Textures in minerals and rocks 1399 7.1. Calcite (CaCO3) 1400 7.2. Quartz (SiO2) 1402 7.3. Olivine (Mg2SiO4) 1404 7.4. Sheet silicates 1406 Texture and anisotropy 1369 7.5. Ice (H2O) 1407 7.6. Halite (NaCl) and periclase (MgO) 1408 7.7. Polymineralic rocks 1409 7.8. Cement minerals 1411 7.9. Earth structure 1412 7.10. Textures as indicators of strain history 1413 7.11. Anisotropy in the deep earth 1415 8. Textures in mineralized biological materials 1419 8.1. Nacre of mollusc shells (aragonite) 1419 8.2. Bones (apatite) 1419 9. Conclusions 1421 References 1422 1370 H-R Wenk and P Van Houtte 1. Introduction Preferred orientation of crystallites (or texture) is an intrinsic feature of metals, ceramics, polymers and rocks and has an influence on physical properties such as strength, electrical conductivity, piezoelectricity, magnetic susceptibility, light refraction and wave propagation, particularly in the anisotropy of these properties. The directional characteristics of many polycrystalline materials were first recognized not in metals but in rocks and were described as ‘texture’ (d’Halloy 1833). In the 20th century texture research was largely pursued by metallurgists but recently it has gained importance in ceramics (e.g. high temperature superconductors), polymers, and regained interest in the earth sciences. The reason for the latter is that seismologists have discovered anisotropic wave propagation in large sectors of the earth’s interior and a likely cause is preferred orientation of crystals that developed by deformation during the earth’s long history. This review will highlight some aspects of textures with focus on new approaches and methods, as well as relevant problems. Metallurgists and ceramicists are engaged in texture research to develop materials with favourable properties. In contrast, geologists and geophysicists are using textures to interpret the past. The rationale is thus reversed. In metallurgy specimens are readily available for analysis, and theories can be tested with experiments. Deep-earth materials do not occur on the surface and many are unstable at ambient conditions. Also, many geological conditions are outside the realm of experiments, particularly the slow strain rates and highly heterogeneous nature of rock formations. Yet, in spite of these differences, methods and approaches are remarkably similar, even though the objects of interest vary greatly in dimension. This review is intended to provide a brief introduction for physical scientists, not for texture experts. Some of the important issues are highlighted with examples, and we refer new researchers in the field of texture and anisotropy to important publications. Since the classic books on metallurgy (e.g. Wassermann and Grewen (1962), Dillamore and Roberts (1965), Hatherly and Hutchinson (1979)) and geology (e.g. Sander (1950), Turner and Weiss (1963)), there have been newer books (e.g. Bunge (1982), Wenk (1985), Kocks et al (2000)), numerous journal articles and particularly research papers in the tri-annual proceedings of the International Conferences of Textures of Materials (ICOTOM). These publications need to be consulted for details. Textures in polymers, though important, are only mentioned peripherally (see, e.g. G’Sell et al (1999)). While preparing this review we noticed that almost half of the references are in physics journals and fifteen in Nature and Science, illustrating that texture and anisotropy are subjects of core physics as well as of general interest. We try to give a balanced account of recent progress in texture research; however, in this broad field it was hard to avoid some emphasis on our own specialities, particularly in the selection of examples which were more readily available. We do not suggest that these are in any way more important. 2. Measurements of textures 2.1. Overview Interpretation of textures has to rely on a quantitative description of orientation characteristics. Two types of preferred orientations are distinguished: the lattice preferred orientation (LPO) or ‘texture’ (also ‘preferred crystallographic orientation’) and the shape preferred orientation (or ‘preferred morphological orientation’). Both can be correlated, such as in sheet silicates with a flaky morphology in schists, or fibres in fibre-reinforced ceramics. In many cases they Texture and anisotropy 1371 are not. In a rolled cubic metal the grain shape depends on the deformation rather than on the crystallography. Many methods have been used to determine preferred orientation. Optical methods have been extensively applied by geologists, using the petrographic microscope equipped with a universal stage to measure the orientation of morphological and optical directions in individual grains (e.g. Phillips (1971)). Metallurgists have used a reflected light microscope to determine the orientation of cleavages and etch pits (e.g. Nauer-Gerhardt and Bunge (1986)). With advances in image analysis, shape preferred orientation can be determined quantitatively and automatically with stereological techniques. Optical methods of LPO measurements of some minerals have also been automated (Heilbronner and Pauli 1993). Today diffraction techniques are most widely used to measure crystallographic preferred orientation (e.g. Bunge (1986), Kocks et al (2000)). X-ray diffraction with a pole-figure goniometer is a routine method. For some applications synchrotron x-rays provide unique opportunities. Neutron diffraction offers some distinct advantages, particularly for large bulk samples. Electron diffraction using the transmission (TEM) or scanning electron microscope (SEM) is gaining interest, because it permits one to correlate microstructures, neighbour relations and texture. There are two distinct ways to measure orientations. One way is to average over a large volume of a polycrystalline aggregate. A pole figure collects signals from many crystals and spatial information is lost (e.g. misorientations with neighbours), but also some orientation relations (such as how x, y, and z-axes of individual crystals correlate). The second method is to measure orientations of individual crystals. In that case orientations
Load more

Recommended publications
  • Development of an X Ray Diffractometer and Its Safety Features
    DEVELOPMENT OF AN X RAY DIFFRACTOMETER AND ITS SAFETY FEATURES By Jordan A. Cady A thesis submitted in partial fulfillment of the requirements for the degree of Bachelor of Science Houghton College January 2017 Signature of Author…………………………………………….…………………….. Department of Physics January 4, 2017 …………………………………………………………………………………….. Dr. Brandon Hoffman Associate Professor of Physics Research Supervisor …………………………………………………………………………………….. Dr. Mark Yuly Professor of Physics DEVELOPMENT OF AN X RAY DIFFRACTOMETER AND ITS SAFETY FEATURES By Jordan A. Cady Submitted to the Department of Physics on January 4, 2017 in partial fulfillment of the requirement for the degree of Bachelor of Science Abstract A Braggs-Brentano θ-2θ x ray diffractometer is being constructed at Houghton College to map the microstructure of textured, polycrystalline silver films. A Phillips-Norelco x ray source will be used in conjunction with a 40 kV power supply. The motors for the motion of the θ and 2θ arms, as well as a Vernier Student Radiation Monitor, will all be controlled by a program written in LabVIEW. The entire mechanical system and x ray source are contained in a steel enclosure to ensure the safety of the users. Thesis Supervisor: Dr. Brandon Hoffman Title: Associate Professor of Physics 2 TABLE OF CONTENTS Chapter 1 Introduction ...........................................................................................6 1.1 History of Interference ............................................................................6 1.2 Discovery of X rays .................................................................................7
    [Show full text]
  • Nanocrystalline Silicon Thin Films Probed by X-Ray Diffraction
    Thin Solid Films 450 (2004) 216–221 Anisotropic crystallite size analysis of textured nanocrystalline silicon thin films probed by X-ray diffraction M.Moralesa *,, Y.Leconte ,aa R.Rizk , D.Chateigner b aLaboratoire d’Etudes et de Recherche sur les Materiaux-ENSICAEN,´´ 6 Bd. du Marechal Juin, F-14050 Caen, France bLaboratoire de Cristallographie et Sciences des Materiaux-ENSICAEN,´ F-14050 Caen, France Abstract A newly developed X-ray technique is used, which is able to quantitatively combine texture, structure, anisotropic crystallite shape and film thickness analyses of nanocrystalline silicon films.The films are grown by reactive magnetron sputtering in a ( ) plasma mixture of H22 and Ar onto amorphous SiO and single-crystal 100 -Si substrates.Whatever the used substrate, preferred orientations are observed with texture strengths around 2–3 times a random distribution, with a tendency to achieve lower strengths for films grown on SiO2 substrates.As a global trend, anisotropic shapes and textures are correlated with longest crystallite sizes along the N111M direction but absence of N111M oriented crystallites.Cell parameters are systematically observed larger than the value for bulk silicon, by approximately 0.005–0.015 A.˚ ᮊ 2003 Elsevier B.V. All rights reserved. Keywords: Silicon; Sputtering; X-Ray diffraction; Anisotropy; Texture analysis 1. Introduction entations (texture) and anisotropic crystallite shapes, and are associated to cell parameter variations.For the A large number of studies is devoted nowadays to first time, we used in this work a newly developed X- nanocrystalline silicon thin films as promising structures ray technique, which is able to combine quantitatively for flat panel display applications w1x.For these large the texture, structure and anisotropic shape determina- area microelectronic applications, the current trend is to tion.
    [Show full text]
  • Crystallographic Textures
    EPJ Web of Conferences 155, 00005 (2017) DOI: 10.1051/epjconf/201715500005 JDN 22 Crystallographic textures Vincent Kloseka CEA, IRAMIS, Laboratoire Léon Brillouin, 91191 Gif-sur-Yvette Cedex, France Abstract. In material science, crystallographic texture is an important microstructural parameter which directly determines the anisotropy degree of most physical properties of a polycrystalline material at the macro scale. Its characterization is thus of fundamental and applied importance, and should ideally be performed prior to any physical property measurement or modeling. Neutron diffraction is a tool of choice for characterizing crystallographic textures: its main advantages over other existing techniques, and especially over the X-ray diffraction techniques, are due to the low neutron absorption by most elements. The obtained information is representative of a large number of grains, leading to a better accuracy of the statistical description of texture. 1. Introduction A macroscopic physical property is a relation between a macroscopic stimulus and a macroscopic response [1]. In their general form, such relations are tensorial to account for possible anisotropy, and tensorial field variables have to be considered. For instance, electrical conductivity describes the relation between the current density vector j and the electric (vector) field E by application of a second order tensor, the conductivity tensor . Or elasticity theory establishes the well-known generalized Hooke law, which is a linear relation between the stress 1 and strain tensors, which are second order symmetric tensors, introducing the 4th order elastic stiffness tensor C. A single crystal being intrinsically an anisotropic (although periodic) arrangement of atoms, most single crystal physical properties are anisotropic, i.e., they are dependent on the crystallographic direction: isotropy is the exception.
    [Show full text]
  • Microstructure, Texture and Vacancy-Type Defects in Severe Plastic Deformed Aluminium Alloys Lihong Su University of Wollongong
    University of Wollongong Research Online University of Wollongong Thesis Collection University of Wollongong Thesis Collections 2012 Microstructure, texture and vacancy-type defects in severe plastic deformed aluminium alloys Lihong Su University of Wollongong Recommended Citation Su, Lihong, Microstructure, texture and vacancy-type defects in severe plastic deformed aluminium alloys, Doctor of Philosophy thesis, School of Mechanical, Materials and Mechatronic Engineering, University of Wollongong, 2012. http://ro.uow.edu.au/theses/ 3798 Research Online is the open access institutional repository for the University of Wollongong. For further information contact the UOW Library: [email protected] Microstructure, Texture and Vacancy-type Defects in Severe Plastic Deformed Aluminium Alloys A thesis submitted for the award of the degree of Doctor of Philosophy from UNIVERSITY OF WOLLONGONG by Lihong Su BEng, MEng School of Mechanical, Materials and Mechatronic Engineering Faculty of Engineering 2012 Declaration I, Lihong Su, declare that this thesis, submitted in fulfilment of the requirements for the award of Doctor of Philosophy, in the School of Mechanical, Materials and Mechatronic Engineering, University of Wollongong, Australia, is wholly my own work unless otherwise referenced or acknowledged, and has not been submitted for qualifications at any other university or academic institution. Lihong Su August 2012 I Acknowledgements I would like to express my sincere gratitude to my supervisors, Professor Kiet Tieu, Dr. Cheng Lu and Dr. David Wexler. There is no way that I could finish this thesis without their continuous guidance, constant encouragement and great support over the years. Professor Kiet Tieu has meetings with students on a weekly basis and always manages to help students with their work.
    [Show full text]
  • Textured Ceramics with Controlled Grain Size and Orientation
    Textured ceramics with controlled grain size and orientation Rohit Pratyush Behera1, Syafiq Bin Senin Muhammad1, Marcus He Jiaxuan2, Hortense Le Ferrand*1,2 1School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang avenue, Singapore 639798 2School of Materials Science and Engineering, Nanyang Technological University, 50 Nanyang avenue, Singapore 639798 *Corresponding email: [email protected] Abstract. Texture in dense or porous ceramics can enhance their functional and structural properties. Current methods for texturation employ anisotropic particles as starting powders and processes that drive their orientation into specific directions. Using ultra-low magnetic fields combined with slip casting, it is possible to purposely orient magnetically responsive particles in any direction. When those particles are suspended with nanoparticles, templated grain growth occurs during sintering to yield a textured ceramic. Yet, the final grains are usually micrometric, leading weak mechanical properties. Here, we explore how to tune the grain orientation size using magnetic slip casting and templated grain growth. Our strategy consists in changing the size of the anisotropic powders and ensuring that magnetic alignment and densification occurs. The obtained ceramics featured a large range of grain anisotropy, with submicrometric thickness and anisotropic properties. Textured ceramics with tunable grains dimensions and porosity are promising for filtering, biomedical or composite applications. Keywords: texture; grain size; templated grain growth; magnetic orientation; microstructure 1| INTRODUCTION Textured ceramics have the potential to enhance adsorption and catalysis efficiency in porous filters [1], diffusion in solid-state batteries [2], cell growth and biointegration in implants [3], to serve as preforms for anisotropic reinforced composites with combined strength and toughness [4], transparency [5], and to create dense ceramics with outstanding mechanical, electromechanical and/or thermal properties [6–10].
    [Show full text]
  • Quantification of Thin Film Crystallographic Orientation Using X-Ray Diffraction with an Area Detector
    Lawrence Berkeley National Laboratory Lawrence Berkeley National Laboratory Title Quantification of thin film crystallographic orientation using X-ray diffraction with an area detector Permalink https://escholarship.org/uc/item/64p0x6rq Author Baker, Jessica L Publication Date 2010-09-07 Peer reviewed eScholarship.org Powered by the California Digital Library University of California Quantification of thin film crystallographic orientation using X-ray diffraction with an area detector Jessy L Baker1, Leslie H Jimison4, Stefan Mannsfeld5, Steven Volkman3, Shong Yin3, Vivek Subramanian3, Alberto Salleo4, A Paul Alivisatos2, Michael F Toney5 1Department of Mechanical Engineering 2Department of Chemistry 3Department of Electrical Engineering and Computer Sciences University of California, Berkeley, Berkeley, California 94720 4Department of Materials Science and Engineering, Stanford University, Stanford, California 94305 5Stanford Synchrotron Radiation Lightsource, Menlo Park, California 94025 As thin films become increasingly popular (for solar cells, LEDs, microelectronics, batteries), quantitative morphological and crystallographic information is needed to predict and optimize the film’s electronic, optical and mechanical properties. This quantification can be obtained quickly and easily with X-ray diffraction using an area detector in two simple sample geometries. In this paper, we describe a methodology for constructing complete pole figures for thin films with fiber texture (isotropic in-plane orientation). We demonstrate this technique
    [Show full text]
  • Introduction to Electron Backscatter Diffraction
    Introduction to Electron Backscatter Diffraction Electron Backscatter Diffraction (EBSD) is a technique which allows crystallographic information to be obtained from the samples in the Scanning Electron Microscope (SEM) Electron Backscatter Diffraction in Materials Science Edited by Adam J. Schwartz - Lawrence Livermore National Laboratory, CA, USA Mukul Kumar - Lawrence Livermore National Laboratory, CA, USA Brent L. Adams - Brigham Young University, Provo, UT, USA Kluwer Academic/Plenum Publishers, 2000 Electron Backscatter Diffraction in Materials Science Editors: Adam J. Schwartz, Mukul Kumar, Brent L. Adams, David P. Field Springer, 2009 Outline 1. Introduction – a little bit of history 2. EBSD – the basics 3. EBSD – solving the pattern 4. Information available from EBSD 5. A few examples 6. Conclusions 1. Introduction – a little bit of history A gas discharge beam of 50 keV Shoji Nishikawa electrons was and Seishi directed onto a cleavage face of Kikuchi calcite at a grazing incidence of 6°. The Diffraction of Patterns were Cathode Rays by also obtained from cleavage Calcite faces of mica, Proc. Imperial Academy (of topaz, zinc blende Japan) 4 (1928!!!) 475-477 and a natural face of quartz. Point analysis EBSD - Electron Backscatter Diffraction EBSP - Electron Backscatter Pattern (J.A.Venables) BKP - Backscatter Kikuchi Pattern Scan analysis COM - Crystal Orientation Mapping ACOM - Automatic Crystal Orientation Mapping (R.Schwarzer) OIM® - Orientation Imaging Microscopy (TexSEM Laboratories trademark) Introduction of the EBSP technique to the SEM J. A. Venables and C. J. Harland (1973) „Electron Back Scattering Patterns – A New Technique for Obtaining Crystallographic Information in the Scanning Electron Microscope”, Philosophical Magazine, 2, 1193-1200. Arrangement of the specimen chamber in the Cambridge Stereoscan: A – Screen, B – Specimen, C – Electron detector, D – X-ray detector EBSP in the SEM recorded on film D.
    [Show full text]
  • Textures in Ceramics
    Textures and Microstructures, 1995, Vol. 24, pp. 1-12 (C) 1995 OPA (Overseas Publishers Association) Reprints available directly from the publisher Amsterdam B.V. Published under license by Photocopying permitted by license only Gordon and Breach Science Publishers SA Printed in Malaysia TEXTURES IN CERAMICS H. J. BUNGE Department of Physical Metallurgy, Technical University of Clausthal, Germany (Received 6 February 1995) The texture is defined as the orientation distribution of the crystallites in a polycrystalline material. This definition is the same for all kinds of materials. Also the motivation for texture studies is the same in all materials i.e. the formation of textures by anisotropic solid state process and the influence of textures on anisotropic physical or technological properties. Nevertheless, there are some differences in detail between texture analysis in metals and ceramics. These are mainly due to the more complex nature of diffraction diagrams of ceramics as compared to those of the basic metals. The aggravations of texture analysis in ceramics can, however, be overcome by modem experimental techniques e.g. by using a position sensitive detector. Texture analysis in ceramics has also been carried out by microscopical methods. The so obtained "shape texture" is related to the crystallographic texture by a "habitus" function. The particular conditions for texture analysis in cermics are very similar to those encountered in geological materials. KEY WORDS: Peak-rich diffraction diagrams, low symmetry, microabsorption, particle shape texture, habitus function. TEXTURES IN POLYCRYSTALLINE MATERIALS The texture, as we usually define it, is the orientation distribution of the crystallites in a polycrystalline material. This definition is completely independent of the nature of the crystallites, i.e.
    [Show full text]
  • A New Method for Analyzing Electron Backscatter Diffraction (EBSD) Data for Texture Using Inverse Pole Figures
    Microsc. Microanal. 8 (Suppl. 2), 2002 686CD DOI 10.1017.S143192760210643X ã Microscopy Society of America 2002 A New Method for Analyzing Electron Backscatter Diffraction (EBSD) Data for Texture using Inverse Pole Figures C. T. Chou*, P. Rolland*, K. G. Dicks * * Oxford Instruments Analytical, Halifax Road, High Wycombe HP12 3SE UK Crystallographic texture or preferred orientation in a plate or thin film polycrystalline sample is commonly displayed as {h k l}<u v w>. {h k l} represents the crystal plane normal that is parallel to the sample Normal Direction (ND) and <u v w> represents the crystal direction that is parallel to the sample longitudinal or Rolling Direction (RD). Traditional methods for texture determination in polycrystalline materials involve the inspection of Pole Figures (PFs) or Euler plots/ODF [1],[2],[3]. An alternative approach has been developed for EBSD data, which uses two Inverse Pole Figures (IPFs) to identify and quantify texture(s) present. The new method is very straightforward, interactive, and requires no expert knowledge or interpretation. The new approach is made possible because EBSD provides the orientation at every pixel in a Crystal Orientation Map (COM), directly as {hkl}<uvw>. Pole figure (PF) method: PFs are stereographic projections for chosen crystal directions (e.g. <111> directions). Usually inspection of a number of PFs for different crystal directions (e.g. 100, 110, 111, and others) will be required in order to derive the sample textures. Interpretation often requires a degree of expertise. Further, it can be difficult to resolve superimposed patterns of data relating to different texture components.
    [Show full text]
  • Combined Analysis: Structure-Texture-Microstructure- Phase-Stresses-Reflectivity Determination by X-Ray and Neutron Scattering Daniel Chateigner
    Combined Analysis: structure-texture-microstructure- phase-stresses-reflectivity determination by x-ray and neutron scattering Daniel Chateigner To cite this version: Daniel Chateigner. Combined Analysis: structure-texture-microstructure-phase-stresses-reflectivity determination by x-ray and neutron scattering. DEA. 2010, pp.496. cel-00109040v2 HAL Id: cel-00109040 https://cel.archives-ouvertes.fr/cel-00109040v2 Submitted on 26 Oct 2010 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Combined Analysis: structure-texture-microstructure-phase- stresses-reflectivity determination by x-ray and neutron scattering Daniel Chateigner Combined Analysis: structure-texture-microstructure-phase-stresses- reflectivity determination by x-ray and neutron scattering Daniel Chateigner [email protected] CRISMAT-ENSICAEN, UMR CNRS n°6508, 6 Bd. M. Juin, F-14050 Caen, France IUT Mesures-Physiques, Université de Caen Basse-Normandie, Caen, France http://www.ecole.ensicaen.fr/~chateign/texture/combined.pdf 0 Introduction..................................................................................................................................
    [Show full text]
  • Insritut.MAX VON LAUE-PAUL [ANGEVIN-GRENOBLE-FRANCE ^
    INSriTUT.MAX VON LAUE-PAUL [ANGEVIN-GRENOBLE-FRANCE ^ for the use of the ILL facilities All research proposals have to be submitted to the Scientific Commercially exploitable results Council for approval. The Council meets twice each year and the closing dates for the acceptance of applications are: Visitors and ILL scientists may occasionally be involved in ex­ February 15 and August 31. periments which have possible commercial applications. If any The completed research proposal forms should be sent to: scientist considers that this is the case, he should get in touch Scientific Coordination and Public Relations Office with the Scientific Secretary. (SCAPRO) Institut Max von Laue — Paul Langevin Other publications available 156 X Neutron Research Facilities at the ILL High Flux Reactor, Edi­ 38042 Grenoble Cedex tion June 1986. France Information and Regulations for Reactor Users, Long-Term Tel. 76 48 72 44 B. Maier Visitors and New Scientific Staff, Edition March 1984 76 48 71 79 G. Briggs Brochure "20 years ILL" issued on the occasion of the 20th 76 48 70 41 K. Mayer-Jenkins (Secretary) anniversary of the ILL on 19 January 1987 76 48 70 82 F. Cook (Secretary) all available from SCAPRO Telex: 320621 F Experimental Reports and Theory College Activities 1986 (Appropriate application forms may be obtained on I equest available from the ILL Library. from the above office). Under normal circumstances the ILL makes no charge for the use of its facilities. However, special equipment (other than the existing instruments, counters, standard cryostats and shielding requirements) must be provided by the user. This ap­ plies particularly to the experimental samples which must, in all cases, be provided by the user.
    [Show full text]
  • Material Behavior: Texture and Anisotropy
    Material Behavior: Texture and Anisotropy Ralf Hielscher, David Mainprice, and Helmut Schaeben Contents 1 Introduction............................................................. 2150 2 Scientific Relevance...................................................... 2151 3 Rotations and Crystallographic Orientations. 2151 3.1 Parametrizations and Embeddings....................................... 2153 3.2 Harmonics.......................................................... 2155 3.3 Kernels and Radially Symmetric Functions............................... 2157 3.4 Crystallographic Symmetries........................................... 2158 3.5 Geodesics, Hopf Fibres, and Clifford Tori ................................ 2159 4 Totally Geodesic Radon Transforms......................................... 2161 4.1 Properties of the Spherical Radon Transform.............................. 2162 5 Texture Analysis with Integral Orientation Measurements: Texture Goniometry Pole Intensity Data............................................. 2166 6 Texture Analysis with Individual Orientation Measurements: Electron Backscatter Diffraction Data................................................ 2170 7 Anisotropic Physical Properties............................................. 2175 7.1 Effective Physical Properties of Crystalline Aggregates..................... 2175 7.2 Properties of Polycrystalline Aggregates with Texture. 2178 7.3 Properties of Polycrystalline Aggregates: An Example. 2180 8 Future Directions......................................................... 2182
    [Show full text]