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Explore the world of molecular symmetry with online tools, introducing elements and operations, visualization of hidden parts, and continuous symmetry. Understand dynamic molecules and utilize the CoSyM website for interactive learning.
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Visualization Of Molecular Symmetry – Online Tools And Learning Processes Inbal Tuvi-AradDepartment of Natural Sciences, and The Chais Research Center for the Integration of Technology in Education, The Open University of Israel Learning with Visualizations
Symmetry Is All Around Us • In life • In Art • In Chemistry
Introducing Symmetry • Are these objects symmetric? • How do we know that?
A Short Definition • Symmetry is defined in terms of elements and operations. • Element – an axis, a plane, a point. • Operation – rotation, reflection, inversion. • An operation is symmetric if the resulting object is identical to the original one.
How Do We Know? • We rotate or reflect the object in our mind. Rotation Reflection
Molecular Symmetry • Are these molecules symmetric? • How can we help students visualize the symmetry?
Visualization Of Hidden Parts • Present molecules in 3D • Allow students to rotate structures on screen • Present symmetry elements on screen • Allow students to draw their own elements
Molecules Are 3D Objects water vitamin C methane
Molecules Rotate In Space water methane vitamin C
Molecular Symmetry Online Molecular Symmetry Online
Symmetry Toolkit http://telem.openu.ac.il/symmetry
Students’ Quotes • “Before I couldn’t see anything. Now I do.” • “I no longer need to imagine the structure in my mind.” • “I can see the symmetry element in my mind, but I’d rather use the toolkit to draw it and check if I’m right.”
Molecules Are Dynamic • How much symmetry is lost due to vibration? • How can we visualize it?
Perfect symmetry is rare: Molecules are dynamic entities Both physical conditions and chemical environments creates structural distortions Minor substitutions creates major changes in the symmetry of a molecule Continuous Symmetry
The Continuous Symmetry Measure determines the distance of a given structure from perfect symmetry. It can be used to compare between various distorted structures. Symmetry becomes a continuous property of matter. Continuous Symmetry
Visualization Of Hidden Parts • Present molecules in 3D • Allow students to rotate the structure • Calculate symmetry measures in the background • Present original and resulting molecules interactively
CoSyM Website http://telem.openu.ac.il/symmetry/csm
Typical Problem • Is there an axis around which we can rotate the molecule by 180 and obtain an identical structure? • If not, how would a structure with such an axis look like? Ammonia Hypothetical structure with 180º rotation axis
Teachers’ Quotes • "When I teach about molecular structure I describe only rigid structures, I never imagined how molecules move." • "I felt a big difference… the visualization opened my eyes." • "Now I am going to look at molecules in a different way. There is no sharp distinction between symmetry and no symmetry - there are a lot of levels in the middle."
Summary • Online Symmetry tools help students visualize the hidden process of solving problems. • Visualization of molecular symmetry, and continuous symmetry contribute to deeper understanding of molecular structure. • Website tools can be used at various content levels and for various teaching and learning purposes. • Exposing teachers to advanced scientific content can improve the way they teach more basic topics.
With Appreciation To: • Colleagues: • Dr. Paul Gorsky – The Open University of Israel • Dr. Ron Blonder – The Weizmann Institute of Science • Molecular Symmetry Online Team: • Dov Garmise, Vered Tooby-Fishberg, Zeev Perl • CoSyM website Team: • Open University team: Dr. Dina Yogev-Einot, Dov Garmise, Uri Shefi, Roy Sharoni, Itai Har-Even, Nadav Peer, Zeev Perl • Hebrew University team: Prof. David Avnir, Dr. Mark Pinsky, Dr. Alexander Sterkin, Shadi Laham, Chaim Dryzon