Advanced Spartan Tutorial

Introduction to Quantum Mechanical Calculations

Spartan brings together many of the more successful methods developed over the last few decades for performing quantum mechanical calculations. It is exceedingly convenient to be able to have several distinct and often complementary methods available, especially when you consider that only a few years ago, most of these methods could only be performed on supercomputers.

What does it mean to perform a quantum mechanical calculation? Essentially, it means to solve the Schroedinger equation for a particular molecule. Recall that the wavefunction , as defined by the Schroedinger equation,

in principle contains all the information you need to know about an object. The problem with the Schroedinger equation is two-fold. First of all, it is impossible to solve it for all but the simplest objects (like hydrogen atoms and molecules). Second, once you have solved it, the information you seek is not necessarily present in a convenient form. is a mathematical function, and often the kind of information we want is as much visual as numerical: What is the most stable geometry for this molecule? What are the equilibrium bond lengths and angles? What does the highest occupied molecular orbital (HOMO) look like? And so on (written by Dr. Donald Cotter).

This tutorial will you how Spartan can be used to solve three different types of problems.

  • Viewing the orbitals of trimethylamine

  • Viewing the electrostatic potential surfaces of acetic acid and trifluoroacetic acid.

  • Viewing the different vibrational characteristics of carbon dioxide.