This program calculates and displays the wavefunctions of the electron in the hydrogen atom. The density is the square of the product of a radial function and an angular function.
The exact form of the density depends on three quantum numbers, n, l and m.
Heading: The Radial function
The program plots the Radial function, which depends only on n and l. The allowed values of n are n=1, 2, 3, ... , The program does not accept values of n greater than 9. The possible values of l are: l=0, 1, ... n-1.
The program allows you to plot the radial function itself, or its square, or the radial density function.
Heading: The Angular function
This is a spherical harmonic. The form of the function depends on l and m. Allowed values of m are: m=l,l-1,l-2, ... -l.
The polar diagram shows positive values in yellow and negative values in blue.
The program plots a polar diagram of the spherical harmonic in the xz-plane where ö=0 and the spherical harmonic is a real function of è. It is also possible to plot the square of the spherical harmonic. The Z-axis corresponds to the direction è=0.
Heading: The Density distribution
This is the value of the modulus squared of the product of the radial and angular functions. White is high density, black is low density.
You can see that it has zeros when either the radial or the angular function is zero.
