Unifying the Concepts of Scattering and Structure Factor in Ordered and Disordered Samples

TL;DR

This paper reviews core concepts of scattering and structure factor, unifying their understanding in ordered and disordered samples, with calculations and code examples to aid learning and application.

Contribution

It provides a self-contained review that unifies scattering and structure factor concepts, including practical calculations and code for better understanding.

Findings

Clarifies the relationship between scattering and structure factor.

Provides computational tools for analyzing scattering data.

Enhances understanding for beginners and researchers.

Abstract

Scattering methods are widely used in many research areas to analyze and resolve material structures. Given the importance, a large number of full textbooks are devoted to this topic. However, technical details in experiments and disconnection between explanations from different perspectives often confuse and frustrate beginner students and researchers. To create an effective learning path, we review the core concepts about scattering and structure factor in this article in a self-contained way. Classical examples of scattering photography and spectroscopy are calculated. Sample CPU and GPU codes are provided to facilitate the understanding and application of these methods.