## Scattering from Polymers: Characterization by X-rays, Neutrons, and Light, Volume 739This book reflects the recent progress made in the field of scattering in polymers. A wide range of scattering studies on different polymer systems, including block copolymers, semicrystalline polymers, complex fluids, multicomponent systems, polymeric surfaces, and polymer processing are included, as well as new experimental techniques and theoretical treatments. This volume provides a comprehensive reference for those researchers who need to know how scattering techniques can be used to tackle different polymer problems, and is ideal for graduate polymer scientists studying scattering techniques. |

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Page 3

Whether EM radiation or particles are of interest for scattering, the solution to the

Helmholtz

solution is E(r,t)=Eoexp{i[k- r-<ot]} for the electric field component of the wave.

Whether EM radiation or particles are of interest for scattering, the solution to the

Helmholtz

**equation**has the same form. Including the time dependent portion, thissolution is E(r,t)=Eoexp{i[k- r-<ot]} for the electric field component of the wave.

Page 9

The scattering amplitude for one electron, |E,|, will from now on be taken as unity,

and will be understood to apply to all

amplitude. The integral in

The scattering amplitude for one electron, |E,|, will from now on be taken as unity,

and will be understood to apply to all

**equations**dealing with scattered waveamplitude. The integral in

**equation**1 1 will be treated, without loss of generality, ...Page 277

Voul = 4w/"exp(-jc2 /o2]x2dx = Nv □ From these two

following non-linear

complementary error function. The right hand side of the above

the known ...

Voul = 4w/"exp(-jc2 /o2]x2dx = Nv □ From these two

**equations**, we obtain thefollowing non-linear

**equation**, t 2r 3 P v where t = ala and erfc(x) is thecomplementary error function. The right hand side of the above

**equation**containsthe known ...

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### Contents

Characteristics of SmallAngle Diffraction Data from Semicrystalline | 24 |

Analysis of SAXS Fiber Patterns by Means of Projections | 41 |

Studying Polymer Interfaces Using Neutron Reflection | 57 |

Copyright | |

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### Common terms and phrases

alignment American Chemical Society amorphous analysis annealing average BCC microdomains bcc-sphere beam behavior blend block copolymers calculated cell chains Chem concentration correlation function crystallization temperature cylinders decrease dependence detector diblock diffraction diffusion distribution domain electron density endotherm equation experimental experiments grain heating hex-cylinder homopolymer hydrogen bonds increase interaction interface isothermal isothermal crystallization lamellar stacks layer length light scattering linear long period lyotropic Macromolecules measurements micellar micelles microtubules molecular weight molecules neutron diffraction neutron scattering observed obtained orientation parameters PEEK fractions Phys plot polyelectrolyte polystyrene probes reflections regime region rheology sample SAXS profiles scan scattering curve scattering intensity scattering patterns scattering peaks semicrystalline shear flow shear rate shown in Figure shows small angle solutions solvent spheres spherulite surface surfactant synchrotron thermotropic thickness transition two-arm PEOs viscosity volume fraction wavelength WAXD width X-ray scattering