ABSTRACT

Berlin Neutron Scattering Center, Hahn-Meitner-Institut Berlin, Berlin, Germany

I. Introduction 72

II. Interactions of Slow Neutrons and X-rays with Fixed Single Atoms 77

III. Types of Scattering Systems and the Macroscopic Differential Scattering Cross Sections 86

IV. Instrumentation and Initial Data Treatment 92 A. Instrumentation 92 B. The Transmission Factor T for X-rays and Neutrons 93 C. Background in SAXS and SANS Experiments

with Carbons 95 D. Instrumental Resolution Effects 96 E. Determination of Differential Scattering Cross Sections 99

V. Calculation of the Scattering Law for Some Systems 102 A. Scattering by an Assembly of Point Scatterers 102 B. Scattering by a Continuum 107 C. Pair Correlation Function g(r) and Structure

Factor S(q) 109 D. Scattering Law for Single Spheres and a Set

VI.