Prerequiresites: Quantum Mechanics course

If you haven’t read it already, check out Atomic Orbitals Pt. 1. Today, we try and make some prettier pictures. GLVisualize is quite a beautiful package, but not entirely the easiest to use at this point with some not so consistent documentation.

To add this package:

and test with:

But, other steps may be necessary to get the package working. On a Mac, I was required to install the Homebrew.jl package.

Here, create a square cube, and convert those positions over to spherical coordinates.

## 2p Orbital

2p Orbital block showing the density of the wavefunction.

2p Orbital shown via isosurface.

## 3d orbitals

3dz2 Orbital shown via isosurface. This corresponds to $n=3$, $l=2$, $m=0$.

A 3d Orbital shown via isosurface. This corresponds to $n=3$, $l=2$, $m=-1$. This is not one of the canonical images, but instead an $m$ shape.

3dxy (x2-y2) orbital shown in density. This is the sum of an $m=-2$ and $m=2$ state, for $n=3,l=2$.

## 3p

In order to get this 3p surface image to come out correctly, I used the square root of the values instead in order to be able to see the much fainter outer lobe.

3p surface plot.

3p space plot.