Published June 14, 2016 | Version v1

Mac OS app for Discrete Variable Representation solutions of eigenvalue problem for 1-D potential energy surface

Authors/Creators

  • 1. University of Maryland

Description

THIS MAC APP IS FOR SOLVING NUCLEAR SCHRODINGER EQUATION FOR VIBRATING DIATOMIC MOLECULE ON A SINGLE POTENTIAL CURVE USING 1-DIMENSIONAL DISCRETE VARIABLE REPRESENTATION METHOD

 

Loading the potential file:

File->Open menu will open dialog window to choose file that contains potential data.

The potential data file should contain two columns (R,E), first one is distance R in bohrs, second is potential energy E in cm-1 (wavenumbers) 

Inputs:

Atomic masses of atoms composing the AB molecule, Mass A and Mass B should be given in atomic mass units

Settings for radial DVR grid:

The radial DVR grid is set by providing initial distance R, final distance R and number of grid points between this range. Usually 200, 300 grid points is enough, but sometime it may be good to check larger number for convergence of bound states and smoothness of wave function plots

Output:

Number of vibrational energies one wants to display in a table to the left of Input and Output controls

For which vibrational state one wants to save the wavefunction to the external file. 

Limits for x-axis on the plot of the wavefunction or density

Buttons:

"Calculate Vibrational Energies" button will start DVR calculations and display results of vibrational energies, average distance for given vibrational state, and rotational constant. 

"Save Energies, R and Bv to a File" will save values from the table to the external file 

"Save Wavefunction to a File" will save R grid and wavefunction corresponding to the vibrational quantum number selected in the Output control

Radio buttons below the table are for selecting what plot will be displayed after clicking on given vibrational energy in the table 

Notes

Program provides bound state for given potential, average values of position , and rotational constant for given vibrational state. Program works on Mac OS X 10 and higher. Author does not give any guarantee that results are correct nor assists with any requests for support.

Files

Files (1.9 MB)

Name Size
md5:cd6846b4f5bee4d3ee6d11f033c900ba
634.8 kB Download
md5:94e6d22cedbceee117c17eee6dd2e58d
639.4 kB Download
md5:d32af7bf62659a12bad753f6ba8e6a21
640.2 kB Download