Building an Intuition for Crystallography (SoME3 Submission)
8My submission for 3Blue1Brown's Summer of Math Exposition 3. In this video, we try to build an understanding for crystallography by determining the unit cell and several other crystallographic properties of sodium chloride.
Topics covered in this video:
Introductory Crystallography
Formation of regular lattices
1, 2, and 3D crystal unit cells
Breavais Lattices
Symmetry Operations (rotation axes, mirror planes, glide planes)
Space groups
X-Ray Diffraction
Bragg's Law
Lattice Constant
Research texts:
Introduction to Crystallography, by Donald Sands
Elementary Crystallography, by Martin Buerger
Volume A ("Space Group Symmetry") of the International Tables of Crystallography, 1983 edition
Diffraction from Materials (second edition), by L. H. Schwartz and J. B. Cohen
Crystallography and Crystal Defects, by A. Kelly and G. W. Groves, 1970
Introduction to Solids, L. V. Azaroff, 1960
Contents:
0:00 - Intro
01:02 - Basic Definitions
07:22 - 1D
11:50 - 2D
37:10 - 3D
01:15:38 - Outro
...On the first day SoME3 was announced, I didn't even know what a unit cell was.
This is far from my usual content, but I like putting out these kinds of one-off high effort videos when I have time (likely no more than twice per year). So if you like this, then consider subscribing, or doing any of the other things that help a channel to grow on YouTube.
Regardless, please have a wonderful remainder of your day!