Overview
Molecules exhibit several distinct kinds of mechanical motion. Besides whole-molecule movement through space and rigid-body rotation, they also undergo internal oscillations of their bonded atoms. The term vibrational motion refers to these internal changes in the distances and angles between atoms; for a general article on the topic see vibration.
When discussing molecular motion it helps to keep terms clear: a molecule translating is carried along as a unit, while a rotating molecule turns about an axis. Vibrational motion, by contrast, concerns the positions of the individual atoms within the molecule relative to one another.
Simple picture and main mode
Vibrations are often modeled by treating each atom as a mass connected to others by springs. In this picture the springs represent chemical bonds that can stretch and compress. The most basic vibrational mode is the stretching of a bond between two atoms — a single pair moving closer together and farther apart periodically.
Common examples
Diatomic molecules illustrate stretch vibrations particularly simply. Examples include: