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Hydrogenic Angular Wave Function JS Model Documents

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Main Document

Hydrogenic Angular Wave Function JS Model 

written by Wolfgang Christian

This simulation plots the (x,z) projection of the angular part of the hydrogenic wave function Ylm(θ,0) to show the spatial orientation of the electron's orbital around the nucleus.

The hydrogenic wave function is a solution to the Schrödinger equation for an idealized hydrogen atom. It describes the probability amplitude of finding an electron in a particular state defined by quantum numbers
  n, l, and m. The complete wave function ψnlm(r,θ,ϕ)=
  m(θ,ϕ) is expressed in spherical polar coordinates as a product of radial and angular components, where the radial part R
  nl(r) is expressed using Laguerre polynomials and the angular part Yl
  m(θ,ϕ) is given by the spherical harmonics, which are expressed in terms of associated Legendre polynomials Plm(cos θ).

Published March 13, 2024
Last Modified March 29, 2024

This file has previous versions.

Source Code Documents

Hydrogenic Angular Wave Function Source Code 

JavaScript EJS source code for the Hydrogenic Angular Wave Function model.

Last Modified March 13, 2024

This file has previous versions.

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