The characteristic of solids explained by the tight packing of particles with no room for movement is rigidity.

Here's why:

* Tight Packing: The particles in a solid are closely packed together, leaving very little space between them.

* Limited Movement: This tight packing prevents the particles from moving freely. They can only vibrate slightly in their fixed positions.

This lack of freedom of movement results in the characteristic rigidity of solids. They maintain a definite shape and volume, unlike liquids or gases, which can flow and change shape.