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Sample Learning Goals
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For Teachers
Exploring Hydrogen Atom Probability Densities in 3D with JavaScript and EJSS
Understanding the behavior of electrons in an atom is crucial to comprehend the intricacies of quantum mechanics. In this blog post, we delve into a fascinating JavaScript simulation that vividly illustrates the probability densities of Hydrogen atom energy eigenstates in 3D. Developed by Jose Ignacio Fernández Palop from the University of Cordoba, Spain, and remixed by lookang, this simulation serves as an educational tool for teaching quantum mechanics.
Overview
The program simulates the probability density of the first few energy eigenstates (n = 1, 2, and 3) for the Hydrogen atom, considering the Coulomb potential. The main window provides an energy level diagram showcasing solutions to the Coulomb potential in two dimensions. Users can select states either through a dropdown menu or by interacting with the energy level diagram. Clicking on a dark green level with specific n, l, and m values turns it bright green, altering the state shown in the 2D and/or 3D visualization panel window. After color scheme is added, the highlight follows the visualization color selected.
Visualization
The probability density is represented by a 3D cloud, where a brighter sphere signifies higher probability. This immersive visualization helps users grasp the spatial distribution of electron probability within the atom. The 2D and 3D views provide different perspectives, allowing for a comprehensive exploration of the atom's behavior.
Controls
- State Drop Down Menu:*Easily change the state depicted by selecting from the dropdown menu.
- 3D View Checkbox: Toggle to view the X Y Z dimensions, providing a holistic visualization of the atom's probability distribution.
- Projection is selectable to allow better view such as ["PERSPECTIVE_ON","PLANAR_XY","PLANAR_XZ","PLANAR_YZ","PERSPECTIVE_OFF"] which effectively is 2D projection for Planar views.
Research
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Video
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Version:
- https://www.compadre.org/osp/items/detail.cfm?ID=10532
- https://www.uco.es/hbarra/index.php/fc/appletsfc
- https://www.compadre.org/osp/items/detail.cfm?ID=16734&S=7
- https://weelookang.blogspot.com/2024/01/exploring-hydrogen-atom-probability.html
Other Resources
https://www.hbarra.es/ by Jose Ignacio Fernández Palo
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