Attached below is a Python script to display spherical harmonics and spherical harmonic superpositions. Spherical harmonics are the angular wavefunctions (“eigenfunctions”) used to describe rotational states of molecules and the angular properties of electrons in atoms (i.e., “atomic orbitals”). A single eigenfunction of the Schrödinger equation is time-independent but dynamics can be described by a superposition (sum) of eigenfunctions. E.g., the square of a sum of spherical harmonics predicts the angular orientation of a molecule as function of time. To use the script, you need to have a functional version […]