Methods of x-ray and neutron scattering in polymer science:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Oxford Univ. Press
2000
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| Schriftenreihe: | Topics in polymer science
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 331 S. graph. Darst. |
| ISBN: | 9780195113211 |
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| adam_text | METHODS OF X-RAY AND NEUTRON SCATTERING IN POLYMER SCIENCE RYONG-JOON
ROE DEPARTMENT OF MATERIALS SCIENCE AND ENGINEERING UNIVERSITY OF
CINCINNATI NEW YORK OXFORD OXFORD UNIVERSITY PRESS 2000 CONTENTS PREFACE
XIII 1 BASICS OF X-RAY AND NEUTRON SCATTERING 1 1.1 PROPERTIES OF X-RAY
S AND NEUTRONS 1 1.2 SCATTERING AND INTERFERENCE 4 1.2.1 FLUX,
SCATTERING CROSS SECTION, AND INTENSITY 4 1.2.2 INTERFERENCE CALCULATION
6 1.3 SCATTERING OFX-RAYS 10 1.3.1 CLASSICAL SCATTERING FROM AN ELECTRON
70 1.3.2 ELECTRON UNIT 72 1.3.3 ATOMIC SCATTERING FACTOR 13 1.3.4
COMPTON-MODIFIED SCATTERING 15 1.4 SCATTERING OF NEUTRONS 77 1.4.1
SCATTERING LENGTH OF A SINGLE NUCLEUS 7 7 1.4.2 COHERENT AND INCOHERENT
SCATTERING LENGTH 19 1.5 AUTOCORRELATION FUNCTION AND RECIPROCAL SPACE
22 1.5.1 A NOTE ON NOTATIONS 22 1.5.2 AUTOCORRELATION FUNCTION 24 1.5.3
EWALD SPHERE AND RECIPROCAL SPACE 26 1.5.4 INVARIANT 28 1.6 SCATTERING
DUE TO THE SAMPLE AS A WHOLE 29 1.7 DIFFRACTION BY CRYSTALS 31 1.7.1
EFFECT OF TEMPERATURE 55 FURTHER READING 34 REFERENCES 35 EXERCISES 35 V
VI * CONTENTS 2 EXPERIMENTAL TECHNIQUES 37 2.1 RADIATION SOURCE 37 2.1.1
X-RAY 37 2.1.1.1 X-RAY TUBES 37 2.1.1.2 SPECTRUM OF X-RAYS GENERATED 39
2.1.1.3 SYNCHROTRON RADIATION SOURCE 40 2.1.2 NEUTRON 45 2.1.2.1 NUCLEAR
REACTOR 45 2.1.2.2 NEUTRON GUIDE 46 2.1.2.3 PULSED NEUTRON SOURCE 47 2.2
MONOCHROMATIZATION 48 2.2.1 CRYSTAL MONOCHROMATOR 48 2.2.2 NEUTRON
VELOCITY SELECTOR 51 2.3 ABSORPTION 53 2.3.1 ABSORPTION COEFFICIENT 5I
2.3.2 WAVELENGTH DEPENDENCE 55 2.3.3 FILTERS 55 2.4 DETECTORS 57 2.4.1
PROPORTIONAL AND SCINTILLATION COUNTERS 58 2.4.1.1 PROPORTIONAL COUNTER
58 2.4.1.2 SCINTILLATION COUNTER 59 2.4.2 POSITION-SENSITIVE DETECTORS
60 2.4.3 COUNTING STATISTICS 61 2.4.4 INTEGRATING DETECTORS (53 2.5
CAMERAS AND DIFFRACTOMETERS (55 2.5.1 COLLIMATION 66 2.5.2 FOCUSING
GEOMETRY 69 2.5.3 DIFFRACTOMETER 77 2.6 MULTIPLE SCATTERING 74 2.7
ABSOLUTE INTENSITY CALIBRATION 77 FURTHER READING 80 REFERENCES 80 3
CRYSTALLINE POLYMERS 82 3.1 INTRODUCTION 82 3.2 LATTICE PARAMETERS 84
3.2.1 INDEXING 84 CONTENTS * 3.2.2 PRECISION MEASUREMENT OF LATTICE
PARAMETERS 87 3.2.3 EXAMPLES OF LATTICE PARAMETER MEASUREMENTS WITH
POLYMERS 88 3.3 CRYSTAL STRUCTURE ANALYSIS 90 3.3.1 FOURIER SYNTHESIS 90
3.3.1.1 EFFECT OF SYMMETRY 92 3.3.1.2 RESOLUTION OF THE FOURIER MAP 94
3.3.2 PERFORMING THE STRUCTURE ANALYSIS 95 3.3.2.1 PATTERSON FUNCTION 95
3.3.2.2 METHODS OF PHASE-ANGLE DETERMINATION 97 3.3.2.3 STRUCTURE
REFINEMENT 98 3.3.3 EXAMPLES OF CRYSTAL STRUCTURE OF POLYMERS 99 3.4
LINE BROADENING AND CRYSTAL IMPERFECTIONS 101 3.4.1 INSTRUMENTAL
BROADENING 102 3.4.2 SMALL CRYSTAL SIZE 102 3.4.3 CRYSTAL IMPERFECTIONS
104 3AA CRYSTAL IMPERFECTION OF THE FIRST KIND 108 3.4.5 CRYSTAL
IMPERFECTION OF THE SECOND KIND 110 3.4.6 SUMMARY 113 3.5 DEGREE OF
CRYSTALLINITY 114 3.5.1 EVALUATION OF THE DEGREE OF CRYSTALLINITY 115
3.5.2 RULAND S METHOD 116 3.5.3 A METHOD BASED ON SMALL-ANGLE SCATTERING
117 3.6 ORIENTATION 118 3.6.1 ORIENTATION DISTRIBUTION OF PLANE-NORMALS
(POLES) 118 3.6.1.1 UNIAXIAL AND BIAXIAL ORIENTATION 118 3.6.1.2 METHODS
OF MEASUREMENT 120 3.6.1.3 POLEFIGURE 122 3.6.2 ORIENTATION PARAMETERS
123 3.6.2.1 HERMANS ORIENTATION PARAMETER 123 3.6.2.2 BIAXIAL
ORIENTATION PARAMETERS 126 3.6.3 CRYSTALLITE ORIENTATION DISTRIBUTION
FUNCTION 128 FURTHER READING 132 REFERENCES 132 4 AMORPHOUS POLYMERS 134
4.1 SHORT-RANGE ORDER 134 4.1.1 PAIR DISTRIBUTION FUNCTION: CASES WITH A
SINGLE ATOMIC SPECIES 134 VIII * CONTENTS 4.1.2 PAIR DISTRIBUTION
FUNCTION: CASES WITH MORE THAN ONE ATOMIC SPECIES 137 4.1.3 ISOTROPIE
POLYMERS 140 4.1.4 UNIAXIALLY ORIENTED POLYMERS 145 4.2 THERMAL DENSITY
FLUCTUATION 147 FURTHER READING 154 REFERENCES 154 5 SMALL-ANGLE
SCATTERING 155 5.1 MODEL STRUCTURES STUDIED BY SMALL-ANGLE SCATTERING
755 5.2 DILUTE PARTICULATE SYSTEM 757 5.2.1 RADIUS OF GYRATION 758 5.2.2
INDEPENDENT SCATTERING FROM PARTICLES OF SIMPLE GEOMETRIE SHAPE 760
5.2.2.1 SPHERE 160 5.2.2.2 THINROD 767 5.2.2.3 THIN CIRCULAR DISK 762
5.2.2.4 COMPARISON OF THE THREE INTENSITY CURVES 762 5.2.3 INDEPENDENT
SCATTERING FROM A POLYMER CHAIN 762 5.2.3.1 GAUSSIAN CHAIN 762 5.2.3.2
WORM-LIKE CHAIN 164 5.2.4 GUINIER LAW 767 5.2.4.1 DERIVATION OF GUINIER
LAW 768 5.2.4.2 SAMPLES CONTAINING NONIDENTICAL PARTICLES 170 5.2.5
EFFECT OF DENSE PACKING 770 5.3 NONPARTICULATE TWO-PHASE SYSTEM 774
5.3.1 CORRELATION FUNCTION AND INVARIANT 774 5.3.2 IDEAL TWO-PHASE MODEL
776 5.3.2.1 INVARIANT 777 5.3.2.2 PORODLAW 178 5.3.2.3 SPECIFIC
INTERFACE AREA AND LENGTH OF INHOMOGENEITY 181 5.3.3 DEVIATIONS FROM THE
IDEAL TWO-PHASE MODEL 184 5.3.3.1 DENSITY FLUCTUATION WITHIN THE PHASES
184 5.3.3.2 DIFFUSE INTERFACE BOUNDARY 185 5.4 FRACTAL OBJECTS 188 5.4.1
DEFINITIONS 188 5.4.2 SCATTERING FROM FRACTAL OBJECTS 790 5.4.2.1
SCATTERING FROM A MASS FRACTAL 790 5.4.2.2 SCATTERING FROM A SURFACE
FRACTAL 797 CONTENTS * IX 5.5 PERIODIC SYSTEM 193 5.5.1 SCATTERING FROM
LAMELLAR STRUCTURE 194 5.5.1.1 IDEAL TWO-PHASE LAMELLAR STRUCTURE 194
5.5.1.2 STRUCTURE WITH VARIABLE LAMELLA THICKNESS 196 5.5.2 CORRELATION
FUNCTION OF LAMELLAR STRUCTURE 201 5.6 SLIT COLLIMATION AND DESMEARING
204 5.6.1 SLIT COLLIMATION 204 5.6.2 SLIT DESMEARING 205 5.6.3 INFINITE
SLIT APPROXIMATION 206 FURTHER READING 208 REFERENCES 208 6 POLYMER
BLENDS, BLOCK COPOLYMERS, AND DEUTERIUM LABELING 210 6.1 POLYMER BLENDS
210 6.1.1 ZERO-ANGLE SCATTERING 210 6.1.1.1 DILUTE POLYMER SOLUTION 212
6.1.1.2 POLYMER BLEND 212 6.1.1.3 FLORY-HUGGINS FREE ENERGY OF MIXING
275 6.1.2 FINITE-ANGLE SCATTERING 217 6.1.2.1 SOME GENERAL RELATIONSHIPS
AND ASSUMPTIONS 218 6.1.2.2 DILUTE POLYMER SOLUTION 222 6.1.2.3 POLYMER
BLEND 223 6.2 BLOCK COPOLYMERS 224 6.3 DEUTERIUM LABELING 228 6.3.1 HIGH
CONCENTRATION LABELING 228 6.3.2 METHOD OF CONTRAST VARIATION 230 6.3.3
DEUTERIUM ISOTOPE EFFECT 233 FURTHER READING 235 REFERENCES 235 7 STUDY
OF SURFACES AND INTERFACES 236 7.1 INTRODUCTION 236 7.2 REFLECTIVITY 238
7.2.1 REFRACTIVE INDEX 238 7.2.2 SNELL S LAW AND FRESNEL S LAW 240 7.2.3
REFLECTIVITY FROM A SYSTEM WITH TWO PARALLEL INTERFACES 243 X * CONTENTS
7.2.4 REFLECTIVITY FROM A MULTILAYER FILM 245 7.3 THE APPROXIMATE METHOD
248 7.3.1 REFLECTIVITY UNDER THE KINEMATIC APPROXIMATION 249 7.3.2
COMPARISON WITH EXACT RESULTS 251 7.3.3 DIFFUSE AND ROUGH INTERFACES 253
7.3.3.1 DIFFUSE INTERFACE 253 7.3.3.2 COHERENCE LENGTH AND ROUGH
INTERFACE 255 7.4 EXAMPLES OF EXPERIMENTAL STUDIES 256 FURTHER READING
259 REFERENCES 259 8 INELASTIC NEUTRON SCATTERING 261 8.1 THEORY OF
INELASTIC SCATTERING 261 8.1.1 INELASTIC SCATTERING CROSS SECTION 263
8.1.2 VAN HOVE CORRELATION FUNCTION 264 8.1.3 COHERENT AND INCOHERENT
SCATTERING 266 8.2 SIMPLE MODELS OFMOTIONS 269 8.2.1 TRANSLATIONAL
DIFFUSION 269 8.2.2 ROTATION 270 8.2.3 VIBRATION 274 8.2.4 COMBINATION
OF DIFFERENT KINDS OF MOTIONS 277 8.3 SPECTROMETERS 278 8.3.1
TRIPLE-AXIS SPECTROMETER 279 8.3.2 TIME-OF-FLIGHT SPECTROMETER 279 8.3.3
BACK-SCATTERING SPECTROMETER 280 8.3.4 SPIN-ECHO SPECTROMETER 281 8.4
EXAMPLES OF EXPERIMENTAL STUDIES 284 FURTHER READING 290 REFERENCES 290
APPENDIX A. REFRESHER ON COMPLEX NUMBERS 291 APPENDIX B. FOURIER
TRANSFORM 293 B.L DEFINITIONS 293 B.L.L FOURIER TRANSFORM 293 B.L.2
COSINE AND SINE TRANSFORMS 294 B.2 PROPERTIES OF FOURIER TRANSFORM 294
B.2.1 ADDITION 294 B.2.2 SHIFT 295 B.2.3 SCALING 296 B.2.4
DIFFERENTIATION 296 B.3 CONVOLUTION 297 B.3.1 DEFINITION 297 B.3.2
CONVOLUTION THEOREM 299 B.3.3 DERIVATIVE 299 B.4 DELTA FUNCTION 300
B.4.1 DEFINITION 300 B.4.2 MULTIPLICATION BY S(X) 300 B.4.3 CONVOLUTION
WITH S(X) 301 B.4.4 FOURIER TRANSFORM OF 8(X) 301 B.4.5 LATTICE FUNCTION
Z(X) 301 B.5 THREE-DIMENSIONAL FOURIER TRANSFORM 302 FURTHER READING 304
EXERCISES 305 APPENDIX C. RECIPROCAL LATTICE 307 C.L DEFINITION 307 C.2
FOURIER TRANSFORM RELATIONSHIP 308 C.3 PROPERTIES OF THE RECIPROCAL
LATTICE 311 C.4 ROTATING-CRYSTAL METHOD AND FIBER DIAGRAM 312 REFERENCE
314 EXERCISES 314 APPENDIX D. CONSTANTS AND CONVERSION FACTORS 316
GLOSSARY OF SYMBOLS 317 INDEX 323
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| language | English |
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| physical | XIV, 331 S. graph. Darst. |
| publishDate | 2000 |
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| spelling | Roe, Ryong-Joon Verfasser aut Methods of x-ray and neutron scattering in polymer science Ryong-Joon Roe New York [u.a.] Oxford Univ. Press 2000 XIV, 331 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Topics in polymer science Polymere (DE-588)4046699-1 gnd rswk-swf Neutronenstreuung (DE-588)4041980-0 gnd rswk-swf Röntgenstreuung (DE-588)4178324-4 gnd rswk-swf Polymere (DE-588)4046699-1 s Röntgenstreuung (DE-588)4178324-4 s Neutronenstreuung (DE-588)4041980-0 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009086748&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Roe, Ryong-Joon Methods of x-ray and neutron scattering in polymer science Polymere (DE-588)4046699-1 gnd Neutronenstreuung (DE-588)4041980-0 gnd Röntgenstreuung (DE-588)4178324-4 gnd |
| subject_GND | (DE-588)4046699-1 (DE-588)4041980-0 (DE-588)4178324-4 |
| title | Methods of x-ray and neutron scattering in polymer science |
| title_auth | Methods of x-ray and neutron scattering in polymer science |
| title_exact_search | Methods of x-ray and neutron scattering in polymer science |
| title_full | Methods of x-ray and neutron scattering in polymer science Ryong-Joon Roe |
| title_fullStr | Methods of x-ray and neutron scattering in polymer science Ryong-Joon Roe |
| title_full_unstemmed | Methods of x-ray and neutron scattering in polymer science Ryong-Joon Roe |
| title_short | Methods of x-ray and neutron scattering in polymer science |
| title_sort | methods of x ray and neutron scattering in polymer science |
| topic | Polymere (DE-588)4046699-1 gnd Neutronenstreuung (DE-588)4041980-0 gnd Röntgenstreuung (DE-588)4178324-4 gnd |
| topic_facet | Polymere Neutronenstreuung Röntgenstreuung |
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