Introduction and Outline

Outline

In this chapter we'll build from our understanding of bonding and interatomic/intermolecular interactions to start to explore how to quantitatively describe what happens when a bond forms.

The outline is as follows:

  • Section 4.3- Review of Force and Potential Energy: Most of you have encountered the relationship between force and potential energy - we'll review this concept. It will be used very frequently in this course.
  • Section 4.4 - Modeling the Atomic Hypothesis with Interatomic Potentials: We conjecture that the atomic hypothesis is important. Here we'll try to see if we can come up with a useful mathematical (and subsequently computational) model that might allow us to explore bonding between two or more atoms.
  • Section 4.5 - The Lennard-Jones (LJ) Potential: There are many ways to model the strength and character of an interaction between two atoms or molecules. here, we'll introduce the most famous and perhaps the most used: the Lennard-Jones Potential.
  • Section 4.6- The LJ Potential in a Molecular Dynamics Simulation: Leveraging our NetLogo models, we'll see if we can incorporate the LJ interatomic potential to learn about
  • Section 4.8 - Evaluating the LJ Potential: Every model has its strengths and weaknesses. We'll discuss some of the most pertinent ones here.
  • Section 4.10 - Feedback and Comments: Please let us know what you think of the chapter by providing feedback in this section.

Ourcomes

  1. Construct and assess an interatomic potential based on understanding of the atomic hypothesis.
  2. Analyze interatomic energy curves to assess bond energies and bond lengths.
  3. Interrogate models utilizing interatomic potentials to observe materials phenomenon.