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November 2019

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November 2011

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The Open Source Physics Project is supported by NSF DUE-0442581.

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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)=
  Rnl(r)Yl
  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).
1 source code document is available
Subjects Levels Resource Types
Modern Physics
- Atomic Physics
= Atomic Models
Quantum Physics
- Bound State Systems
= Hydrogen Atom
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- text/html
- application/zip
- application/javascript
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Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 license.
Rights Holder:
Wolfgang Christian
Keywords:
Coulomb, Hydrogen, probability, quantum mechanics
Record Cloner:
Metadata instance created March 13, 2024 by Wolfgang Christian
Record Updated:
March 29, 2024 by Wolfgang Christian
Last Update
when Cataloged:
March 13, 2024
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Record Link
AIP Format
W. Christian, Computer Program HYDROGENIC ANGULAR WAVE FUNCTION JS MODEL (2024), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16751&DocID=5869).
AJP/PRST-PER
W. Christian, Computer Program HYDROGENIC ANGULAR WAVE FUNCTION JS MODEL (2024), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16751&DocID=5869>.
APA Format
Christian, W. (2024). Hydrogenic Angular Wave Function JS Model [Computer software]. Retrieved May 21, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16751&DocID=5869
Chicago Format
Christian, Wolfgang. "Hydrogenic Angular Wave Function JS Model." https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16751&DocID=5869 (accessed 21 May 2024).
MLA Format
Christian, Wolfgang. Hydrogenic Angular Wave Function JS Model. Computer software. 2024. 21 May 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16751&DocID=5869>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Hydrogenic Angular Wave Function JS Model}, Month = {March}, Year = {2024} }
Refer Export Format

%A Wolfgang Christian %T Hydrogenic Angular Wave Function JS Model %D March 13, 2024 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16751&DocID=5869 %O text/html

EndNote Export Format

%0 Computer Program %A Christian, Wolfgang %D March 13, 2024 %T Hydrogenic Angular Wave Function JS Model %8 March 13, 2024 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16751&DocID=5869


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