Abstract

Crystallography is an invaluable tool in materials science, solid state physics and protein science. Understanding crystallography requires grasping the powerful but abstract concept of reciprocal space. Here a simple but insightful experiment using a laser pointer and Au microdisc arrays to explore and illustrate Bragg diffraction and reciprocal space is demonstrated. The Au microdisc arrays were manufactured using standard semiconductor fabrication techniques. The flexibility of the array design allows the demonstration of basic concepts such as lattice and atomic form factor, but also more advanced ones such as quasicrystal and shape function.

Highlights

  • Crystal diffraction is a vital tool in many fields of science, in particular solid state physics

  • Crystallography of atomic crystals is normally performed with X-rays, electrons or neutrons, which is experimentally challenging in an undergraduate teaching context

  • We demonstrate how laser diffraction can be used for student experiments in diffraction and reciprocal space

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Summary

Introduction

Crystal diffraction is a vital tool in many fields of science, in particular solid state physics. Any in-depth description of diffraction, beyond Bragg’s law, requires the introduction of reciprocal space, which is used in many other areas of physics. The concepts of diffraction and reciprocal space are quite challenging for undergraduate students (Radford, 1975). Laboratory experiments can be a powerful tool to support student learning, but they are difficult to realize in the case of diffraction. Crystallography of atomic crystals is normally performed with X-rays, electrons or neutrons, which is experimentally challenging in an undergraduate teaching context. X-rays require radiation protection, whereas electron beams require a vacuum. The most readily available source of coherent radiation is laser beams, which can be generated by low-cost battery-driven laser pointers. The wavelengths of lasers are generally too large for atomic diffraction

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