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Enriching Quantum Chemistry with Mathcad

Frank Rioux
Saint John's University, Collegeville, MN 56321


Note:
This program is included in the Advanced Chemistry Collection (SP-28).

To Order Advanced Chemistry Collection




Mathcad is a comprehensive, inexpensive program for doing numeric and symbolic mathematics on a computer. It runs under Windows and has an appealing, user-friendly graphical interface. Mathcad has a wide variety of applications in the undergraduate chemistry curriculum, but is especially useful in the mathematically intensive courses traditionally found in the physical chemistry sequence (1, 2, 3, 4). As the title suggests this module presents applications of Mathcad in the area of quantum chemistry.

Students generally find quantum chemistry to be highly mathematical, quite difficult, and very abstract. They are right on all counts. However the subject is also extremely important today, even at the undergraduate level. There is, therefore, a need for relatively simple computer exercises that bridge the gap between the formalism of quantum theory and its various computational methods (5). All of the Mathcad documents presented here attempt to do this in one way or another. Some exercises involve relatively elementary problem solving, while others, for example, illustrate the basics of molecular orbital theory and the variational method. An example of how Mathcad handles data, text, mathematics, and graphics in a single live document is shown in the accompanying figure.


Screen from "Enriching Quantum Chemistry with Mathcad."

This module includes Mathcad documents in the following areas:

  • Routine problem solving and units management
  • Applications of integral and differential calculus in quantum mechanical calculations
  • Linear, nonlinear, and polynomial regression analysis
  • Numerical solutions for Schrodinger's equation
  • A molecular orbital calculation on the hydrogen molecule ion
  • The variational method

Hardware and Software Requirements

Series D of JCE: Software requires Microsoft Windows version 3.0 or later and associated hardware as defined by Microsoft. We recommend an IBM-PC/AT, PS/2, or compatible computer with a 80386 or higher processor, a minimum of 4 MB of memory, a hard disk, one floppy disk drive to install the software, a mouse, and a Windows-compatible graphics card, such as an IBM VGA or a Super VGA adapter with a compatible color monitor. DOS version 5.0 or later is highly recommended.

In addition to the hardware and software recommended above, Enriching Quantum Chemistry with Mathcad requires Mathcad version 3.1 or greater (not supplied). It also benefits greatly from the presence of a math coprocessor, which is highly recommended.

Literature Cited

  1. Coleman, W. F. J. Chem. Educ. 1990, 67, A203.
  2. Adravkoski, Z. J. Chem. Educ. 1991, 68, A95.
  3. Rioux, F. J. Chem. Educ. 1992, 69, A240.
  4. Turner, D. E. J. Chem. Educ. 1993, 70, A185.
  5. Montgomery, H. E., Jr. J. Chem. Educ. 1977, 54, 748.
First Published: January 1994

Citation: Rioux, F. Enriching Quantum Chemistry with Mathcad J. Chem. Educ. Software 1D2

Keywords: Lecture Aid; Computer Room; Physical; Quantum chemistry; Mathcad


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Last Updated: July 19, 2001
Created: December 4, 1996
Created by: J. L. Holmes
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