About this course
Part 2 provides an introduction to the study of crystallography. We begin by looking at crystals and their symmetries in two dimensions. Then, we expand into three dimensions, exploring the underlying crystalline structures that underpin most of the materials that surround us. Finally, we look at how tensors can be used to represent the properties of three-dimensional materials, and we show how these change as a function of the crystalline symmetry.
If you would like to explore the structure of materials further, we encourage you to enroll in Part 1 and Part 3 of the course.
Crystal structure image by User: Materialscientist on Wikimedia.
Photo of quartz by User: JJ Harrison on Wikimedia. (CC BY-SA) 2.5
What you'll learn
- How to describe symmetry in both two and three dimensions
- How tensors can be used to represent the properties of materials in three dimensions
- How the symmetry of a material influences the materials properties
- Translation, mirror, glide and rotation symmetry
- Allowed rotational symmetries in crystals
- The 10 2D point groups
- An introduction to crystallographic notation
- The five 2D lattice types
- The 17 plane groups in 2D
- Inversion, Roto-Inversion, and Roto-reflection
- Screw symmetry
- Space point groups
- Stereographic projection
- Crystal lattices
- Space groups
- Symmetry constraints on materials properties
- Coordinate transformation
Pursue a Verified Certificate to highlight the knowledge and skills you gain $50.00
Official and Verified
Receive an instructor-signed certificate with the institution's logo to verify your achievement and increase your job prospects
Add the certificate to your CV or resume, or post it directly on LinkedIn
Give yourself an additional incentive to complete the course
Support our Mission
EdX, a non-profit, relies on verified certificates to help fund free education for everyone globally
Who can take this course?
Unfortunately, learners from one or more of the following countries or regions will not be able to register for this course: Iran, Cuba and the Crimea region of Ukraine. While edX has sought licenses from the U.S. Office of Foreign Assets Control (OFAC) to offer our courses to learners in these countries and regions, the licenses we have received are not broad enough to allow us to offer this course in all locations. EdX truly regrets that U.S. sanctions prevent us from offering all of our courses to everyone, no matter where they live.