---
tags: Theory
---
# Morse potential

Interatomic interaction model for the potential energy of a diatomic molecule.
\
$$V(r)=D_e(1-e^{-a(r-r_e)})^2$$

$$V(r)=\frac{1}{2}kx^2$$

$$V(r) =
\begin{cases}
\infty, & \text{$r>a$ or $r<b$} \\
0, & \text{else}
\end{cases}$$

$$V(r)=???$$

Wiki Link : https://en.wikipedia.org/wiki/Morse_potential