Select molecules from the list on the left to add them to your list. Drag to reorder. Click the X to remove.
Welcome to the world of symmetry! The resources contained within this web site are designed to help students learn concepts of molecular symmetry and to help faculty teach concepts of molecular symmetry. The materials are designed for a variety of levels, so look around and see what we have to offer. Choose from the following pages:
Updates: July 2024 - A few updated links and a new website for displaying crystallographic symmetry including interactive display of symmetry elements, Wyckoff positions, and a wide range of example structures from all 230 spacegroups. (Presented at the 74th Annual Meeting of the American Crystallographic Association, Denver, CO).
January 2021 - The NGL-based version is now live along with many additional updates. Note: this version may not be compatible with older versions of some browsers. If needed, the JSmol version of the site is available at https://symotter.org/jsmol.
October 2020 - A new version of the site using the NGL (WebGL-based) viewer for improved visualization and animations is undergoing testing.
June 2019 - The completely new version is now live. The number of changes are too numerous to list here, but the Symmetry Challenge is totally revamped and there are many new features in the Gallery and Tutorial. The website is much more responsive and should be easier to use on mobile devices. If for any reason you want to use the old version, it can still be found at Symmetry@Otterbein (old). A more complete discussion of the updates can be found at the Symmetry@Otterbein Blog.
System Requirements: All pages require a modern browser with Javascript enabled. These pages have been tested with Microsoft Edge (Windows, macOS), Safari (macOS, iOS), Chrome (macOS, Windows, iOS, Android) and Firefox (macOS, Windows, Linux, iOS, Android). Note: The current website only works with Chromium-based versions of Microsoft Edge (released January 2020). Some issues have been observed with Safari versions prior to version 14.0.
The identity operation is the simplest of all -- do nothing! It may seem pointless to have a symmetry operation that consists of doing nothing, but it is very important. All objects (and therefore all molecules) at the very least have the identity element. There are many molecules that have no other symmetry. Two examples are shown below.
Each of the following molecules contain no other symmetry other than identity: