About

Hydrogen Atom (Coulomb) Probability Densitites in 3D

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General Description

This program simulates the probability density of the first few (n = 1, 2, and 3, and associated l and m values) energy eigenstates for the Hydrogen atom (the Coulomb potential). The main window shows the energy level diagram for the solutions to the Coulomb potential in three dimensions. States may be selected either by using the dropdown menu item or by using the energy level diagram and clicking a dark green level, with specific n, l, and m values) which will turn bright green and change the state shown in the 3d visualization window. The probability is shown with a 3d cloud, with higher probability shown as a darker sphere. The default rendering is simple 3d with regular Java, but if you have Java 3d installed, you can select to use it to render the 3d visualization.

This simulation is part of a suite of simulations by Jose Ignacio Fernández Palop of the University of Cordoba, Spain used to teach quantum mechanics. Additional simulations can be found on the OSP ComPADRE site.

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Controls

• state drop down menu: changes the state depicted
• energy level radio button: shows the energy level diagram
• energy level band: changes the state shown in the 3d visualization
• 3d radio buttons: switch between simple 3d and Java 3d for the visualization

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Jose Ignacio Fernández Palop (This email address is being protected from spambots. You need JavaScript enabled to view it.)

 

Translations

Code	Language		Translator	Run

Credits

Jose Ignacio Fernández Palop; This email address is being protected from spambots. You need JavaScript enabled to view it.

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

 

1. State Drop Down Menu:*Easily change the state depicted by selecting from the dropdown menu.
2. 3D View Checkbox: Toggle to view the X Y Z dimensions, providing a holistic visualization of the atom's probability distribution.
3. 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:

1. https://www.compadre.org/osp/items/detail.cfm?ID=10532
2.  https://www.uco.es/hbarra/index.php/fc/appletsfc
3. https://www.compadre.org/osp/items/detail.cfm?ID=16734&S=7
4. 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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