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Orbital Graphing

Mark Ellison
Wittenberg University, Department of Chemistry, Springfield, OH 45501

Abstract

The goal of this document is to help students become familiar with preparing and viewing three-dimensional graphs of the angular parts of hydrogen-like atomic orbitals. The students plot the angular part of an s (l = 0, m = 0) orbital and a pz (l = 1, m = 0) orbital. However, the atomic orbitals p1 (l = 1, m = 1) and p–1 (l = 1, m = –1) are graphed but look nothing like the familiar shape of a p orbital. Linear combinations of these orbitals are graphed, and the combinations result in the familiar px and py orbitals. The process is repeated for some of the d orbitals. In the second part of the document, the students use linear combinations of s and p orbitals to construct hybrid sp, sp2, and sp3 orbitals.


The angular part of an fz3 eigenfunction for a hydrogen-like ion. Screen from Orbital Graphing.

Downloads

Document link Document type Download Info
* OrbitalGraphing2001i.mcd Mathcad 2001i 856 KB
Fully interactive with Mathcad 2001i
 
* OrbitalGraphingStdnt2001i.mcd Mathcad 2001i 792 KB
Fully interactive with Mathcad 2001i: Student version
 
* OrbitalGraphing2001i.pdf
OrbitalGraphingStdnt2001i.pdf
Acrobat.pdf 864 KB
411 KB
Non-interactive derived from Mathcad 2001i files above.

* JCE Subscribers only: Institutional IP number access or name and password required

Commentary

*Editor's Commentary
 

Other Information

Keywords

Atomic Properties/Structure; Computer-Based Learning; Numerical Methods; Physical Chemistry; Quantum Chemistry

JCE Citation

*Ellison, Mark. J. Chem. Educ. 2004, 81, 158.
 
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