Cutting Edge > Courses > Mineralogy > Teaching Activities > Plane Groups

Plane Groups

Dexter Perkins
,
University of North Dakota
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This activity was selected for the On the Cutting Edge Reviewed Teaching Collection

This activity has received positive reviews in a peer review process involving five review categories. The five categories included in the process are

  • Scientific Accuracy
  • Alignment of Learning Goals, Activities, and Assessments
  • Pedagogic Effectiveness
  • Robustness (usability and dependability of all components)
  • Completeness of the ActivitySheet web page

For more information about the peer review process itself, please see http://serc.carleton.edu/NAGTWorkshops/review.html.


This page first made public: Sep 3, 2008

Summary

Studying plane groups is a good way to introduce crystal systems, point groups, lattices, symmetry operators, etc. All is in 2-D, but it is easy to tell students that the principles are the same in 3-D. I provide, here, a PDF document with more than 60 images for instructors to use. For those who like to make changes, the PDF document was created from individual EPS files. This means that the files can be opened in Adobe Illustrator, Corel Draw, etc., and modified to fit your own needs.

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Context

Audience

I use this in my sophomore Mineralogy course.

Skills and concepts that students must have mastered

There are no requirements – this material can be used to introduce symmetry even if students don't know what it is.

How the activity is situated in the course

This is one of many in-class activities that we do. We do this about 2/3 of the way through the semester.

Goals

Content/concepts goals for this activity

After looking at the graphics and completing some in-class activities students will be able to explain the following and how they relate to each other:

Higher order thinking skills goals for this activity

In particular, students develop the visualization skill needed to see symmetry.

Other skills goals for this activity

Description of the activity/assignment

This is a lengthy PDF document (60 pages+) about plane groups and symmetry. It includes colorful images of each of the 17 plane groups, in several different forms. Additionally, there are some summarizing graphics that show unit cells, lattices, symmetry elements, etc. There is lots here to choose from – I doubt that anyone will want to use all of the images. Studying plane groups is a good way to introduce crystal systems, point groups, lattices, symmetry operators, etc. All is in 2-D, but it is easy to tell students that the principles are the same in 3-D. For those who like to make changes, the PDF document was created from individual EPS files. This means that the files can be opened in Adobe Illustrator, Corel Draw, etc., and modified to fit your own needs.

Determining whether students have met the goals

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