This applet plots the probability densities in the stationary states ynlm(x,y,z) of the hydrogen atom in nonrelativistic quantum mechanics. (n is the principal quantum number, l is related to the total angular momentum, and m is the z-component of the angular momentum in units of Planck's constant.)
- Probability densities between 15% and 40% of maximum are plotted in blue, those from 40% to 70% are plotted in red, and those greater than 70% are plotted in white. Intensity is equal to the probability density divided by the maximum in the particular state. Densities below 15% of maximum are not plotted.
- To avoid a lattice-like appearance, the points are plotted at randomized locations within each grid cell.
- In the demo version, n is restricted to n=1,2,3. In the full version, n=4,5,6 are also available.
Instructions for use
- Enter the desired quantum numbers using the popup menus provided.
- The grid may be changed using the popup menu.
- The axes may be shown or hidden using the checkbox.
- To change the angle of view, drag the plot area using the mouse (horizontally to vary the azimuthal angle and vertically to vary the polar angle.)
- If the angle of view changes too slowly, you should either use a coarser grid or check "hide surface while rotating".
- When "show progress" is checked, rendering progress is indicated by a clock. The finer the grid, the slower the rendering.
- To restore the applet to its original condition, click "reset".